diff --git a/mindspore/lite/CMakeLists.txt b/mindspore/lite/CMakeLists.txt
index 8f4c553e01..515c5d9a6b 100644
--- a/mindspore/lite/CMakeLists.txt
+++ b/mindspore/lite/CMakeLists.txt
@@ -235,3 +235,4 @@ if (NOT WIN32)
 endif ()
 
 include(${TOP_DIR}/cmake/package_lite.cmake)
+
diff --git a/mindspore/lite/include/train_session.h b/mindspore/lite/include/train_session.h
index d1634cb083..c3cab39d61 100644
--- a/mindspore/lite/include/train_session.h
+++ b/mindspore/lite/include/train_session.h
@@ -17,37 +17,28 @@
 #define MINDSPORE_LITE_INCLUDE_TRAIN_SESSION_H_
 #include <vector>
 #include <string>
+#include <tuple>
 #include <unordered_map>
-#include "src/lite_session.h"
+#include "include/lite_session.h"
+#include "include/train_model.h"
 
 namespace mindspore {
-namespace lite {
-struct TrainModel;
-}
-
 namespace session {
-class TrainSession : public lite::LiteSession {
- public:
-  TrainSession();
-  ~TrainSession();
 
-  int RunGraph(const session::KernelCallBack &before = nullptr,
-               const session::KernelCallBack &after = nullptr) override;
-
-  int CompileGraph(lite::Model *model) override;
-  virtual void* ExportToBuf(char* buf, size_t* len) const;
+class TrainSession : public session::LiteSession {
+ public:
+  virtual ~TrainSession() = default;
+  static TrainSession *CreateSession(lite::Context *context);
 
-  virtual void Train();
+  virtual int CompileTrainGraph(lite::TrainModel *model) = 0;
+  virtual void *ExportToBuf(char *buf, size_t *len) const = 0;
+  virtual void Train() = 0;
   bool IsTrain() { return train_mode_ == true; }
-  virtual void Eval();
+  virtual void Eval() = 0;
   bool IsEval() { return train_mode_ == false; }
 
  protected:
-  virtual void ReplaceOps();
   bool train_mode_ = false;
-  lite::TrainModel *model_ = nullptr;
-  std::unordered_map<std::string, std::vector<mindspore::tensor::MSTensor *>> orig_output_map_;
-  std::unordered_map<std::string, mindspore::tensor::MSTensor *> orig_output_tensor_map_;
 };
 }  // namespace session
 }  // namespace mindspore
diff --git a/mindspore/lite/nnacl/batchnorm_parameter.h b/mindspore/lite/nnacl/batchnorm_parameter.h
index 8708ed2cb2..8e460cf438 100644
--- a/mindspore/lite/nnacl/batchnorm_parameter.h
+++ b/mindspore/lite/nnacl/batchnorm_parameter.h
@@ -22,6 +22,7 @@
 typedef struct BatchNormParameter {
   OpParameter op_parameter_;
   float epsilon_;
+  float momentum_;
   int unit_;
   int units_;
   int channel_;
diff --git a/mindspore/lite/nnacl/fp32/batchnorm.c b/mindspore/lite/nnacl/fp32/batchnorm.c
index 755e12f4d0..1c01c9be02 100644
--- a/mindspore/lite/nnacl/fp32/batchnorm.c
+++ b/mindspore/lite/nnacl/fp32/batchnorm.c
@@ -54,22 +54,22 @@ void FusedBatchNormFp32(const void *input, const void *scale, const void *offset
   }
 }
 
-void FusedBatchNormFp32MeanVar(const float *input, float momentum, float *run_mean, float *run_var,
-                               BatchNormParameter *param, float *save_mean, float *save_inv_var) {
+void FusedBatchNormFp32MeanVar(const float *input, float *run_mean, float *run_var, BatchNormParameter *param,
+                               float *save_mean, float *save_var) {
   float N = (float)param->unit_;
   for (int i = 0; i < param->unit_; i++) {
-    for (int f = 0; f < param->channel_; f++) {
-      int idx = i * param->channel_ + f;
-      run_mean[f] += input[idx];
-      run_var[f] += input[idx] * input[idx];
+    for (int c = 0; c < param->channel_; c++) {
+      int idx = i * param->channel_ + c;
+      run_mean[c] += input[idx];
+      run_var[c] += input[idx] * input[idx];
     }
   }
   const float VN = (N > 1.0f) ? (N - 1.0f) : 1.0f;
-  for (int f = 0; f < param->channel_; f++) {
-    run_mean[f] = run_mean[f] / N;
-    run_var[f] = run_var[f] / VN - run_mean[f] * run_mean[f];
-    save_mean[f] = momentum * save_mean[f] + (1 - momentum) * run_mean[f];
-    const float inv_var = 1.f / sqrt(run_var[f] + param->epsilon_);
-    save_inv_var[f] = momentum * save_inv_var[f] + (1 - momentum) * inv_var;
+  for (int c = 0; c < param->channel_; c++) {
+    run_mean[c] = run_mean[c] / N;
+    run_var[c] = run_var[c] / VN - run_mean[c] * run_mean[c];
+    save_mean[c] = param->momentum_ * save_mean[c] + (1 - param->momentum_) * run_mean[c];
+    const float var = run_var[c];
+    save_var[c] = param->momentum_ * save_var[c] + (1 - param->momentum_) * var;
   }
 }
diff --git a/mindspore/lite/nnacl/fp32/batchnorm.h b/mindspore/lite/nnacl/fp32/batchnorm.h
index fa071425a3..6dfb05660b 100644
--- a/mindspore/lite/nnacl/fp32/batchnorm.h
+++ b/mindspore/lite/nnacl/fp32/batchnorm.h
@@ -28,8 +28,8 @@ void BatchNormFp32(const void *input, const void *mean, const void *variance, Ba
 void FusedBatchNormFp32(const void *input, const void *scale, const void *offset, const void *mean,
                         const void *variance, BatchNormParameter *param, int task_id, void *output);
 
-void FusedBatchNormFp32MeanVar(const float *input, float momentum, float *run_mean, float *run_var,
-                               BatchNormParameter *param, float *save_mean, float *save_var);
+void FusedBatchNormFp32MeanVar(const float *input, float *run_mean, float *run_var, BatchNormParameter *param,
+                               float *save_mean, float *save_var);
 #ifdef __cplusplus
 }
 #endif
diff --git a/mindspore/lite/nnacl/fp32_grad/optimizer.h b/mindspore/lite/nnacl/fp32_grad/optimizer.h
new file mode 100644
index 0000000000..9d03977a8c
--- /dev/null
+++ b/mindspore/lite/nnacl/fp32_grad/optimizer.h
@@ -0,0 +1,36 @@
+/**
+ * Copyright 2020 Huawei Technologies Co., Ltd
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef MINDSPORE_LITE_NNACL_FP32_GRAD_OPTIMIZER_H_
+#define MINDSPORE_LITE_NNACL_FP32_GRAD_OPTIMIZER_H_
+
+#include "nnacl/op_base.h"
+
+typedef struct ApplyMomentumParameter {
+  OpParameter op_parameter_;
+  bool use_locking_;
+  bool use_nesterov_;
+  float grad_scale_;
+} ApplyMomentumParameter;
+
+typedef struct SgdParameter {
+  OpParameter op_parameter_;
+  float dampening_;
+  bool use_nesterov_;
+  float weight_decay_;
+} SgdParameter;
+
+#endif  // MINDSPORE_LITE_NNACL_FP32_GRAD_OPTIMIZER_H_
diff --git a/mindspore/lite/nnacl/fp32_grad/pack_ext.c b/mindspore/lite/nnacl/fp32_grad/pack_ext.c
index fd11c3da8b..645ad8dc2d 100644
--- a/mindspore/lite/nnacl/fp32_grad/pack_ext.c
+++ b/mindspore/lite/nnacl/fp32_grad/pack_ext.c
@@ -20,10 +20,8 @@
 static int is_a_ge_zero_and_a_lt_b(int a, int b) { return (unsigned)(a) < (unsigned)(b); }
 
 void im2col_hwc(const float *in_data, float *data_col, ConvParameter *conv_param) {
-  const int pad_left = /*conv_param->pad_l_*/ conv_param->pad_l_;
-  // const int pad_right =  /*conv_param->pad_r_*/conv_param->pad_w_;
-  const int pad_up = /*conv_param->pad_u_*/ conv_param->pad_u_;
-  // const int pad_down =   /*conv_param->pad_d/*/conv_param->pad_h_;
+  const int pad_left = conv_param->pad_l_;
+  const int pad_up = conv_param->pad_u_;
 
   const int stride_h = conv_param->stride_h_;
   const int stride_w = conv_param->stride_w_;
@@ -39,10 +37,11 @@ void im2col_hwc(const float *in_data, float *data_col, ConvParameter *conv_param
 
   const int output_h = conv_param->output_h_;
   const int output_w = conv_param->output_w_;
+
   const int channels = conv_param->input_channel_ / conv_param->group_;
   const int tot_channels = conv_param->input_channel_;
 
-  int /*channel,*/ kernel_row, kernel_col, output_rows, output_col;
+  int kernel_row, kernel_col, output_rows, output_col;
 
   int row_stride_offset = 0;
 
@@ -71,11 +70,9 @@ void im2col_hwc(const float *in_data, float *data_col, ConvParameter *conv_param
 }
 
 // output matrix is (kernel_h*kernel_w*channels)X(output_h*output_w)
-void im2row_hwc(const float *in_data, float *data_row, ConvParameter *conv_param) {
-  const int pad_left = /*conv_param->pad_l_*/ conv_param->pad_l_;
-  // const int pad_right =  /*conv_param->pad_r_*/conv_param->pad_w_;
-  const int pad_up = /*conv_param->pad_u_*/ conv_param->pad_u_;
-  // const int pad_down =   /*conv_param->pad_d/*/conv_param->pad_h_;
+void im2row_hwc(const float *in_data, float *data_row, ConvParameter *conv_param, bool transpose) {
+  const int pad_left = conv_param->pad_l_;
+  const int pad_up = conv_param->pad_u_;
 
   const int stride_h = conv_param->stride_h_;
   const int stride_w = conv_param->stride_w_;
@@ -86,38 +83,67 @@ void im2row_hwc(const float *in_data, float *data_row, ConvParameter *conv_param
   const int kernel_h = conv_param->kernel_h_;
   const int kernel_w = conv_param->kernel_w_;
 
-  const int in_height = conv_param->input_h_;
-  const int in_width = conv_param->input_w_;
+  const int in_height = (transpose) ? conv_param->output_h_ : conv_param->input_h_;
+  const int in_width = (transpose) ? conv_param->output_w_ : conv_param->input_w_;
 
-  const int output_h = conv_param->output_h_;
-  const int output_w = conv_param->output_w_;
-  const int channels = conv_param->input_channel_ / conv_param->group_;
-  const int tot_channels = conv_param->input_channel_;
+  const int output_h = (transpose) ? conv_param->input_h_ : conv_param->output_h_;
+  const int output_w = (transpose) ? conv_param->input_w_ : conv_param->output_w_;
 
+  const int tot_channels = (transpose) ? conv_param->output_channel_ : conv_param->input_channel_;
+  const int channels = tot_channels / conv_param->group_;
   int channel, kernel_row, kernel_col, output_rows, output_col;
 
-  for (kernel_row = 0; kernel_row < kernel_h; kernel_row++) {
-    for (kernel_col = 0; kernel_col < kernel_w; kernel_col++) {
-      for (channel = 0; channel < channels; channel++) {
-        int input_row = -pad_up + kernel_row * dilation_h;
-        for (output_rows = output_h; output_rows; output_rows--) {
-          if (!is_a_ge_zero_and_a_lt_b(input_row, in_height)) {
-            for (output_col = output_w; output_col; output_col--) {
-              *(data_row++) = 0;
+  if (transpose) {
+    for (channel = 0; channel < channels; channel++) {
+      for (kernel_row = 0; kernel_row < kernel_h; kernel_row++) {
+        for (kernel_col = 0; kernel_col < kernel_w; kernel_col++) {
+          int input_row = -pad_up + kernel_row * dilation_h;
+          for (output_rows = output_h; output_rows; output_rows--) {
+            if (!is_a_ge_zero_and_a_lt_b(input_row, in_height)) {
+              for (output_col = output_w; output_col; output_col--) {
+                *(data_row++) = 0;
+              }
+            } else {
+              int input_col = -pad_left + kernel_col * dilation_w;
+              for (output_col = output_w; output_col; output_col--) {
+                if (is_a_ge_zero_and_a_lt_b(input_col, in_width)) {
+                  const int offset = (input_row * in_width + input_col) * tot_channels + channel;
+                  *(data_row++) = in_data[offset];
+                } else {
+                  *(data_row++) = 0;
+                }
+                input_col += stride_w;
+              }
             }
-          } else {
-            int input_col = -pad_left + kernel_col * dilation_w;
-            for (output_col = output_w; output_col; output_col--) {
-              if (is_a_ge_zero_and_a_lt_b(input_col, in_width)) {
-                const int offset = (input_row * in_width + input_col) * tot_channels + channel;
-                *(data_row++) = in_data[offset];
-              } else {
+            input_row += stride_h;
+          }
+        }
+      }
+    }
+  } else {
+    for (kernel_row = 0; kernel_row < kernel_h; kernel_row++) {
+      for (kernel_col = 0; kernel_col < kernel_w; kernel_col++) {
+        for (channel = 0; channel < channels; channel++) {
+          int input_row = -pad_up + kernel_row * dilation_h;
+          for (output_rows = output_h; output_rows; output_rows--) {
+            if (!is_a_ge_zero_and_a_lt_b(input_row, in_height)) {
+              for (output_col = output_w; output_col; output_col--) {
                 *(data_row++) = 0;
               }
-              input_col += stride_w;
+            } else {
+              int input_col = -pad_left + kernel_col * dilation_w;
+              for (output_col = output_w; output_col; output_col--) {
+                if (is_a_ge_zero_and_a_lt_b(input_col, in_width)) {
+                  const int offset = (input_row * in_width + input_col) * tot_channels + channel;
+                  *(data_row++) = in_data[offset];
+                } else {
+                  *(data_row++) = 0;
+                }
+                input_col += stride_w;
+              }
             }
+            input_row += stride_h;
           }
-          input_row += stride_h;
         }
       }
     }
@@ -125,10 +151,8 @@ void im2row_hwc(const float *in_data, float *data_row, ConvParameter *conv_param
 }
 
 void col2im_hwc(const float *data_col, float *data_im, ConvParameter *conv_param) {
-  const int pad_left = /*conv_param->pad_l_*/ conv_param->pad_l_;
-  // const int pad_right =  /*conv_param->pad_r_*/conv_param->pad_w_;
-  const int pad_up = /*conv_param->pad_u_*/ conv_param->pad_u_;
-  // const int pad_down =   /*conv_param->pad_d/*/conv_param->pad_h_;
+  const int pad_left = conv_param->pad_l_;
+  const int pad_up = conv_param->pad_u_;
 
   const int stride_h = conv_param->stride_h_;
   const int stride_w = conv_param->stride_w_;
diff --git a/mindspore/lite/nnacl/fp32_grad/pack_ext.h b/mindspore/lite/nnacl/fp32_grad/pack_ext.h
index 1eb1e4593a..aa5f33faa7 100644
--- a/mindspore/lite/nnacl/fp32_grad/pack_ext.h
+++ b/mindspore/lite/nnacl/fp32_grad/pack_ext.h
@@ -23,7 +23,7 @@
 extern "C" {
 #endif
 void im2col_hwc(const float *in_data, float *data_col, ConvParameter *conv_param);
-void im2row_hwc(const float *in_data, float *data_row, ConvParameter *conv_param);
+void im2row_hwc(const float *in_data, float *data_row, ConvParameter *conv_param, bool transpose);
 void col2im_hwc(const float *data_col, float *data_im, ConvParameter *conv_param);
 #ifdef __cplusplus
 }
diff --git a/mindspore/lite/nnacl/fp32_grad/pooling_grad.c b/mindspore/lite/nnacl/fp32_grad/pooling_grad.c
index 87d55504df..ddf1b197cc 100644
--- a/mindspore/lite/nnacl/fp32_grad/pooling_grad.c
+++ b/mindspore/lite/nnacl/fp32_grad/pooling_grad.c
@@ -17,7 +17,7 @@
 #include <float.h>
 #include "nnacl/fp32_grad/pooling_grad.h"
 
-void AvgPoolingGrad(const float *input_ptr, float *output_ptr, PoolingParameter *pooling_param) {
+void AvgPoolingGrad(const float *input_ptr, float *output_ptr, PoolingParameter *pooling_param, int task_id) {
   int stride_w = pooling_param->stride_w_;
   int stride_h = pooling_param->stride_h_;
   int pad_w = pooling_param->pad_l_;
@@ -41,7 +41,7 @@ void AvgPoolingGrad(const float *input_ptr, float *output_ptr, PoolingParameter
     for (uint16_t yh = 0; yh < output_h; yh++) {
       for (uint16_t yw = 0; yw < output_w; yw++) {
         for (uint16_t ic = 0; ic < channel; ic++) {
-          int idx = (yw + yh * output_w) * channel + ic;  // (ic*in_h*in_w) + (in_w*yh) + yw;
+          int idx = (yw + yh * output_w) * channel + ic;
           float delta = inPtr[idx] / kk;
           for (int32_t kh = 0; kh < win_h; kh++) {
             int xh = yh * stride_h + kh - pad_h;
@@ -63,7 +63,7 @@ void AvgPoolingGrad(const float *input_ptr, float *output_ptr, PoolingParameter
 }
 
 void MaxPoolingGrad(const float *input_ptr, const float *dx_ptr, const float *dy_ptr, float *output_ptr,
-                    PoolingParameter *pooling_param) {
+                    PoolingParameter *pooling_param, int task_id) {
   int stride_w = pooling_param->stride_w_;
   int stride_h = pooling_param->stride_h_;
   int pad_w = pooling_param->pad_l_;
diff --git a/mindspore/lite/nnacl/fp32_grad/pooling_grad.h b/mindspore/lite/nnacl/fp32_grad/pooling_grad.h
index 80fd98ccbd..005f13384a 100644
--- a/mindspore/lite/nnacl/fp32_grad/pooling_grad.h
+++ b/mindspore/lite/nnacl/fp32_grad/pooling_grad.h
@@ -22,9 +22,9 @@
 #ifdef __cplusplus
 extern "C" {
 #endif
-void AvgPoolingGrad(const float *input_ptr, float *output_ptr, PoolingParameter *pooling_param);
+void AvgPoolingGrad(const float *input_ptr, float *output_ptr, PoolingParameter *pooling_param, int task_id);
 void MaxPoolingGrad(const float *input_ptr, const float *dx_ptr, const float *dy_ptr, float *output_ptr,
-                    PoolingParameter *pooling_param);
+                    PoolingParameter *pooling_param, int task_id);
 #ifdef __cplusplus
 }
 #endif
diff --git a/mindspore/lite/schema/model.fbs b/mindspore/lite/schema/model.fbs
index 3705b2ad0a..eb47373c9d 100644
--- a/mindspore/lite/schema/model.fbs
+++ b/mindspore/lite/schema/model.fbs
@@ -207,6 +207,7 @@ union PrimitiveType {
     LshProjection,
     HashtableLookup,
     SkipGram,
+    DeConv2DGradFilter,
     CustomPredict,
     CustomNormalize,
     CustomExtractFeatures,
@@ -215,6 +216,7 @@ union PrimitiveType {
     Rfft,
     FftReal,
     FftImag,
+    Sgd,
 }
 
 enum QuantType: int {
diff --git a/mindspore/lite/schema/ops.fbs b/mindspore/lite/schema/ops.fbs
index 4928f59c72..db7440a0da 100644
--- a/mindspore/lite/schema/ops.fbs
+++ b/mindspore/lite/schema/ops.fbs
@@ -407,6 +407,27 @@ table DeConv2D {
     hasBias: bool = false;
     activationType: ActivationType = 0;
 }
+
+table DeConv2DGradFilter {
+    format: Format = 0;
+    group: int;
+    channelIn: int;
+    channelOut: int;
+    kernelW: int;
+    kernelH: int;
+    strideW: int;
+    strideH: int;
+    padMode: PadMode;
+    padUp: int;
+    padDown: int;
+    padLeft: int;
+    padRight: int;
+    dilateW: int;
+    dilateH: int;
+    hasBias: bool = false;
+    activationType: ActivationType = 0;
+}
+
 table BNGrad {
     eps : float;
     momentum: float;
@@ -884,6 +905,11 @@ table ApplyMomentum {
     useNesterov: bool;
 }
 
+table Sgd {
+    weightDecay: float;
+    dampening: float;
+    useNesterov: bool;
+}
 
 table Where{
     condition: [bool];
diff --git a/mindspore/lite/src/common/file_utils_ext.cc b/mindspore/lite/src/common/file_utils_ext.cc
index e3043b456a..49e5f7a369 100644
--- a/mindspore/lite/src/common/file_utils_ext.cc
+++ b/mindspore/lite/src/common/file_utils_ext.cc
@@ -45,7 +45,7 @@ int CompareRelativeOutput(float *output_data, std::string file_path) {
     return 1;
   }
   size_t output_num = output_size / sizeof(float);
-  int error = CompareOutputRelativeData(output_data, ground_truth, output_num);
+  float error = CompareOutputRelativeData(output_data, ground_truth, output_num);
   delete[] ground_truth;
   if (error > 1e-4) {
     return 1;
diff --git a/mindspore/lite/src/lite_kernel.cc b/mindspore/lite/src/lite_kernel.cc
index 8ccd593a2d..623fef3d14 100644
--- a/mindspore/lite/src/lite_kernel.cc
+++ b/mindspore/lite/src/lite_kernel.cc
@@ -18,6 +18,22 @@
 #include <algorithm>
 
 namespace mindspore::kernel {
+
+void *LiteKernel::workspace_ = nullptr;
+
+void LiteKernel::AllocWorkspace(size_t size) {
+  if (size == 0) return;
+  workspace_ = malloc(size);
+  if (workspace_ == nullptr) {
+    MS_LOG(ERROR) << "fail to alloc " << size;
+  }
+}
+
+void LiteKernel::FreeWorkspace() {
+  free(workspace_);
+  workspace_ = nullptr;
+}
+
 void LiteKernel::InitOutTensorRefCount() {
   for (auto *tensor : this->out_tensors_) {
     tensor->SetRefCount(this->out_kernels_.size());
diff --git a/mindspore/lite/src/lite_kernel.h b/mindspore/lite/src/lite_kernel.h
index 2d9e2e0c7a..a8409b2417 100644
--- a/mindspore/lite/src/lite_kernel.h
+++ b/mindspore/lite/src/lite_kernel.h
@@ -18,6 +18,7 @@
 #define MINDSPORE_LITE_SRC_LITE_KERNEL_H_
 #include <vector>
 #include <string>
+#include <memory>
 #include "src/ops/primitive_c.h"
 #include "src/common/utils.h"
 #ifdef ENABLE_ARM
@@ -145,6 +146,11 @@ class LiteKernel {
   void set_desc(const KernelKey kernel_key) { desc_ = kernel_key; }
 
   const mindspore::lite::PrimitiveC *GetPrimitive() const { return primitive_; }
+  void SetWorkspaceSize(size_t value) { workspace_size_ = value; }
+  size_t GetWorkspaceSize() { return workspace_size_; }
+  static void AllocWorkspace(size_t size);
+  static void FreeWorkspace();
+  void *GetWorkspace() { return workspace_; }
 
  protected:
   bool InferShapeDone() { return !(primitive_ != nullptr && !primitive_->GetInferFlag()) && true; }
@@ -161,6 +167,8 @@ class LiteKernel {
   std::vector<LiteKernel *> out_kernels_;
   bool train_mode_ = false;
   bool is_model_output_ = false;
+  size_t workspace_size_ = 0;
+  static void *workspace_;
 };
 
 class SubGraphKernel : public LiteKernel {
diff --git a/mindspore/lite/src/ops/apply_momentum.cc b/mindspore/lite/src/ops/apply_momentum.cc
index 12a061522c..14918d9699 100644
--- a/mindspore/lite/src/ops/apply_momentum.cc
+++ b/mindspore/lite/src/ops/apply_momentum.cc
@@ -17,6 +17,10 @@
 namespace mindspore {
 namespace lite {
 #ifdef PRIMITIVE_WRITEABLE
+float ApplyMomentum::GetGradientScale() const { return this->primitive_->value.AsApplyMomentum()->gradientScale; }
+bool ApplyMomentum::GetUseLocking() const { return this->primitive_->value.AsApplyMomentum()->useLocking; }
+bool ApplyMomentum::GetUseNesterov() const { return this->primitive_->value.AsApplyMomentum()->useNesterov; }
+
 int ApplyMomentum::UnPackAttr(const Primitive &prim, const std::vector<AnfNodePtr> &inputs) {
   if (this->primitive_ == nullptr) {
     this->primitive_ = new (std::nothrow) schema::PrimitiveT;
@@ -36,6 +40,10 @@ int ApplyMomentum::UnPackAttr(const Primitive &prim, const std::vector<AnfNodePt
       MS_LOG(ERROR) << "new primitiveT value failed";
       return RET_ERROR;
     }
+    attr->gradientScale = GetValue<float>(prim.GetAttr("gradient_scale"));
+    attr->useLocking = GetValue<bool>(prim.GetAttr("use_locking"));
+    attr->useNesterov = GetValue<bool>(prim.GetAttr("use_nesterov"));
+
     this->primitive_->value.value = attr.release();
     if (this->primitive_->value.value == nullptr) {
       MS_LOG(ERROR) << "new primitiveT value failed";
@@ -45,6 +53,10 @@ int ApplyMomentum::UnPackAttr(const Primitive &prim, const std::vector<AnfNodePt
   return RET_OK;
 }
 #else
+float ApplyMomentum::GetGradientScale() const { return this->primitive_->value_as_ApplyMomentum()->gradientScale(); }
+bool ApplyMomentum::GetUseLocking() const { return this->primitive_->value_as_ApplyMomentum()->useLocking(); }
+bool ApplyMomentum::GetUseNesterov() const { return this->primitive_->value_as_ApplyMomentum()->useNesterov(); }
+
 int ApplyMomentum::UnPackToFlatBuilder(const schema::Primitive *primitive, flatbuffers::FlatBufferBuilder *fbb) {
   MS_ASSERT(nullptr != primitive);
   MS_ASSERT(nullptr != fbb);
@@ -53,7 +65,7 @@ int ApplyMomentum::UnPackToFlatBuilder(const schema::Primitive *primitive, flatb
     MS_LOG(ERROR) << "value_as_ApplyMomentum return nullptr";
     return RET_ERROR;
   }
-  auto val_offset = schema::CreateApplyMomentum(*fbb);
+  auto val_offset = schema::CreateApplyMomentum(*fbb, attr->gradientScale(), attr->useLocking(), attr->useNesterov());
   auto prim_offset = schema::CreatePrimitive(*fbb, schema::PrimitiveType_ApplyMomentum, val_offset.o);
   fbb->Finish(prim_offset);
   return RET_OK;
@@ -62,7 +74,7 @@ int ApplyMomentum::UnPackToFlatBuilder(const schema::Primitive *primitive, flatb
 
 int ApplyMomentum::InferShape(std::vector<lite::Tensor *> inputs, std::vector<lite::Tensor *> outputs) {
   if (5 != inputs.size()) {
-    MS_LOG(ERROR) << "ApplyMomentum should have at 5 input tensors";
+    MS_LOG(ERROR) << "ApplyMomentum should have at least 5 input tensors";
     return RET_ERROR;
   }
 
@@ -76,6 +88,7 @@ int ApplyMomentum::InferShape(std::vector<lite::Tensor *> inputs, std::vector<li
     MS_ASSERT(out != nullptr);
     out->set_data_type(inputs[0]->data_type());
     out->SetFormat(inputs[0]->GetFormat());
+    out->set_shape({1});
   }
 
   return RET_OK;
diff --git a/mindspore/lite/src/ops/apply_momentum.h b/mindspore/lite/src/ops/apply_momentum.h
index 67ef1b5fc8..4f3d96aef3 100644
--- a/mindspore/lite/src/ops/apply_momentum.h
+++ b/mindspore/lite/src/ops/apply_momentum.h
@@ -39,6 +39,9 @@ class ApplyMomentum : public PrimitiveC {
   int UnPackToFlatBuilder(const schema::Primitive *primitive, flatbuffers::FlatBufferBuilder *fbb) override;
 #endif
   int InferShape(std::vector<lite::Tensor *> inputs_, std::vector<lite::Tensor *> outputs_) override;
+  float GetGradientScale() const;
+  bool GetUseLocking() const;
+  bool GetUseNesterov() const;
 };
 }  // namespace lite
 }  // namespace mindspore
diff --git a/mindspore/lite/src/ops/bias_grad.cc b/mindspore/lite/src/ops/bias_grad.cc
index d561e42503..6da4712224 100644
--- a/mindspore/lite/src/ops/bias_grad.cc
+++ b/mindspore/lite/src/ops/bias_grad.cc
@@ -89,6 +89,7 @@ int BiasGrad::InferShape(std::vector<Tensor *> inputs, std::vector<Tensor *> out
   auto *out = outputs.front();
   MS_ASSERT(in0 != nullptr);
   MS_ASSERT(out != nullptr);
+
   auto inshape = in0->shape();
   int ndim = inshape.size();
   for (int i = 0; i < ndim - 1; i++) {
diff --git a/mindspore/lite/src/ops/bn_grad.cc b/mindspore/lite/src/ops/bn_grad.cc
index 3ee696ca94..8b6ebb321b 100644
--- a/mindspore/lite/src/ops/bn_grad.cc
+++ b/mindspore/lite/src/ops/bn_grad.cc
@@ -75,7 +75,7 @@ float BNGrad::GetEps() const { return this->primitive_->value_as_BNGrad()->eps()
 float BNGrad::GetMomentum() const { return this->primitive_->value_as_BNGrad()->momentum(); }
 #endif
 int BNGrad::InferShape(std::vector<lite::Tensor *> inputs, std::vector<lite::Tensor *> outputs) {
-  if (5 != inputs.size()) {
+  if (6 != inputs.size()) {
     MS_LOG(ERROR) << "BNGrad should have five inputs";
     return RET_ERROR;
   }
@@ -85,6 +85,7 @@ int BNGrad::InferShape(std::vector<lite::Tensor *> inputs, std::vector<lite::Ten
   }
   auto in = inputs[1];
   auto scale = inputs[2];
+
   outputs[0]->set_shape(in->shape());
   outputs[1]->set_shape(scale->shape());
   outputs[2]->set_shape(scale->shape());
diff --git a/mindspore/lite/src/ops/bn_grad.h b/mindspore/lite/src/ops/bn_grad.h
index beb794e795..45120ca58a 100644
--- a/mindspore/lite/src/ops/bn_grad.h
+++ b/mindspore/lite/src/ops/bn_grad.h
@@ -14,8 +14,8 @@
  * limitations under the License.
  */
 
-#ifndef LITE_MINDSPORE_LITE_C_OPS_B_N_GRAD_H_
-#define LITE_MINDSPORE_LITE_C_OPS_B_N_GRAD_H_
+#ifndef MINDSPORE_LITE_SRC_OPS_BN_GRAD_H_
+#define MINDSPORE_LITE_SRC_OPS_BN_GRAD_H_
 
 #include <vector>
 #include <set>
@@ -44,4 +44,4 @@ class BNGrad : public PrimitiveC {
 }  // namespace lite
 }  // namespace mindspore
 
-#endif  // LITE_MINDSPORE_LITE_C_OPS_B_N_GRAD_INPUT_H_
+#endif  // MINDSPORE_LITE_SRC_OPS_BN_GRAD_H_
diff --git a/mindspore/lite/src/ops/fused_batchnorm.cc b/mindspore/lite/src/ops/fused_batchnorm.cc
index 5a05680d26..a08451af54 100644
--- a/mindspore/lite/src/ops/fused_batchnorm.cc
+++ b/mindspore/lite/src/ops/fused_batchnorm.cc
@@ -73,5 +73,20 @@ float FusedBatchNorm::GetMomentum() const { return this->primitive_->value_as_Fu
 int FusedBatchNorm::GetSpatial() const { return this->primitive_->value_as_FusedBatchNorm()->spatial(); }
 
 #endif
+int FusedBatchNorm::InferShape(std::vector<lite::Tensor *> inputs_, std::vector<lite::Tensor *> outputs_) {
+  for (size_t i = 0; i < inputs_.size(); i++) {
+    if (outputs_.size() <= i) break;
+    outputs_.at(i)->set_shape(inputs_.at(i)->shape());
+    outputs_.at(i)->set_data_type(inputs_.at(i)->data_type());
+    outputs_.at(i)->SetFormat(inputs_.at(i)->GetFormat());
+  }
+  if (outputs_.size() > 5) {
+    outputs_.at(5)->set_data_type(inputs_.at(0)->data_type());
+    outputs_.at(5)->SetFormat(inputs_.at(0)->GetFormat());
+    outputs_.at(5)->set_shape({1});
+  }
+  return 0;
+}
+
 }  // namespace lite
 }  // namespace mindspore
diff --git a/mindspore/lite/src/ops/fused_batchnorm.h b/mindspore/lite/src/ops/fused_batchnorm.h
index 2707bd9188..c73b083942 100644
--- a/mindspore/lite/src/ops/fused_batchnorm.h
+++ b/mindspore/lite/src/ops/fused_batchnorm.h
@@ -39,6 +39,7 @@ class FusedBatchNorm : public PrimitiveC {
 
   int UnPackToFlatBuilder(const schema::Primitive *primitive, flatbuffers::FlatBufferBuilder *fbb) override;
 #endif
+  int InferShape(std::vector<lite::Tensor *> inputs_, std::vector<lite::Tensor *> outputs_) override;
   float GetEpsilon() const;
   float GetMomentum() const;
   int GetSpatial() const;
diff --git a/mindspore/lite/src/ops/pooling_grad.cc b/mindspore/lite/src/ops/pooling_grad.cc
index bc82884ea8..dc100de7d3 100644
--- a/mindspore/lite/src/ops/pooling_grad.cc
+++ b/mindspore/lite/src/ops/pooling_grad.cc
@@ -145,7 +145,15 @@ int PoolingGrad::UnPackToFlatBuilder(const schema::Primitive *primitive, flatbuf
 #endif
 
 int PoolingGrad::InferShape(std::vector<Tensor *> inputs_, std::vector<Tensor *> outputs_) {
-  MS_ASSERT(this->primitive != nullptr);
+  if (3 != inputs_.size()) {
+    MS_LOG(ERROR) << "Pooling Grad Filter should have 3 inputs";
+    return RET_ERROR;
+  }
+  if (1 != outputs_.size()) {
+    MS_LOG(ERROR) << "Pooling Grad Filter should have one output";
+    return RET_ERROR;
+  }
+
   auto input = inputs_.at(0);
   MS_ASSERT(input != nullptr);
   int input_h = input->shape().at(1);
diff --git a/mindspore/lite/src/ops/primitive_c.cc b/mindspore/lite/src/ops/primitive_c.cc
index 42fc24647b..87662121f4 100644
--- a/mindspore/lite/src/ops/primitive_c.cc
+++ b/mindspore/lite/src/ops/primitive_c.cc
@@ -151,6 +151,7 @@
 #include "src/ops/depend.h"
 #include "src/ops/flatten_grad.h"
 #include "src/ops/log_grad.h"
+#include "src/ops/sgd.h"
 #endif
 
 namespace mindspore {
@@ -384,7 +385,7 @@ std::shared_ptr<PrimitiveC> PrimitiveC::Create(const Primitive &prim, const std:
     return NewPrimitiveC<Dequant>(prim, inputs, quantType);
   } else if (op_type == "Flatten") {
     return NewPrimitiveC<Flatten>(prim, inputs, quantType);
-  } else if (op_type == "FusedBatchNorm") {
+  } else if ((op_type == "FusedBatchNorm") || (op_type == "FusedBatchNormEx")) {
     return NewPrimitiveC<FusedBatchNorm>(prim, inputs, quantType);
   } else if (op_type == "make_tuple") {
     return NewPrimitiveC<MakeTuple>(prim, inputs, quantType);
@@ -452,7 +453,7 @@ std::shared_ptr<PrimitiveC> PrimitiveC::Create(const Primitive &prim, const std:
     return NewPrimitiveC<Conv2DGradFilter>(prim, inputs, quantType);
   } else if (op_type == "Conv2DBackpropInput") {
     return NewPrimitiveC<Conv2DGradInput>(prim, inputs, quantType);
-  } else if (op_type == "BatchNormGrad") {
+  } else if ((op_type == "BatchNormGrad") || (op_type == "FusedBatchNormGradEx")) {
     return NewPrimitiveC<BNGrad>(prim, inputs, quantType);
   } else if (op_type == "FlattenGrad") {
     return NewPrimitiveC<FlattenGrad>(prim, inputs, quantType);
@@ -460,6 +461,10 @@ std::shared_ptr<PrimitiveC> PrimitiveC::Create(const Primitive &prim, const std:
     return NewPrimitiveC<BNGrad>(prim, inputs, quantType);
   } else if (op_type == "Tile") {
     return NewPrimitiveC<Tile>(prim, inputs, quantType);
+  } else if (op_type == "PowerGrad") {
+    return NewPrimitiveC<PowerGrad>(prim, inputs, quantType);
+  } else if (op_type == "SGD") {
+    return NewPrimitiveC<Sgd>(prim, inputs, quantType);
 #else
   } else if (op_type == "Conv2DBackpropInput") {
     return NewPrimitiveC<DeConv2D>(prim, inputs, quantType);
@@ -731,6 +736,8 @@ PrimitiveC *PrimitiveC::Create(mindspore::schema::PrimitiveT *primitive) {
       return new NegGrad(primitive);
     case schema::PrimitiveType_LogGrad:
       return new LogGrad(primitive);
+    case schema::PrimitiveType_Sgd:
+      return new Sgd(primitive);
 #endif
 
     default:
@@ -995,6 +1002,8 @@ PrimitiveC *PrimitiveC::Create(const schema::Primitive *primitive) {
       return NewPrimitiveC<NegGrad>(primitive);
     case schema::PrimitiveType_LogGrad:
       return NewPrimitiveC<LogGrad>(primitive);
+    case schema::PrimitiveType_Sgd:
+      return NewPrimitiveC<Sgd>(primitive);
 #endif
     default:
       MS_LOG(ERROR) << "Unsupported primitive type in Create : " << schema::EnumNamePrimitiveType(op_type);
diff --git a/mindspore/lite/src/ops/sgd.cc b/mindspore/lite/src/ops/sgd.cc
new file mode 100644
index 0000000000..038d1e0d68
--- /dev/null
+++ b/mindspore/lite/src/ops/sgd.cc
@@ -0,0 +1,97 @@
+/**
+ * Copyright 2019-2020 Huawei Technologies Co., Ltd
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+#include "src/ops/sgd.h"
+namespace mindspore {
+namespace lite {
+#ifdef PRIMITIVE_WRITEABLE
+float Sgd::GetWeightDecay() const { return this->primitive_->value.AsSgd()->weightDecay; }
+float Sgd::GetDampening() const { return this->primitive_->value.AsSgd()->dampening; }
+bool Sgd::GetUseNesterov() const { return this->primitive_->value.AsSgd()->useNesterov; }
+
+int Sgd::UnPackAttr(const Primitive &prim, const std::vector<AnfNodePtr> &inputs) {
+  if (this->primitive_ == nullptr) {
+    this->primitive_ = new (std::nothrow) schema::PrimitiveT;
+    if (this->primitive_ == nullptr) {
+      MS_LOG(ERROR) << "new primitiveT failed";
+      return RET_ERROR;
+    }
+    this->primitive_->value.type = schema::PrimitiveType_Sgd;
+  }
+  if (this->primitive_->value.type != schema::PrimitiveType_Sgd) {
+    MS_LOG(ERROR) << "Primitive type is error :" << this->primitive_->value.type;
+    return RET_ERROR;
+  }
+  if (this->primitive_->value.value == nullptr) {
+    auto attr = std::make_unique<schema::SgdT>();
+    if (attr == nullptr) {
+      MS_LOG(ERROR) << "new primitiveT value failed";
+      return RET_ERROR;
+    }
+    attr->weightDecay = GetValue<float>(prim.GetAttr("weight_decay"));
+    attr->dampening = GetValue<float>(prim.GetAttr("dampening"));
+    attr->useNesterov = GetValue<bool>(prim.GetAttr("nesterov"));
+
+    this->primitive_->value.value = attr.release();
+    if (this->primitive_->value.value == nullptr) {
+      MS_LOG(ERROR) << "new primitiveT value failed";
+      return RET_ERROR;
+    }
+  }
+  return RET_OK;
+}
+#else
+float Sgd::GetWeightDecay() const { return this->primitive_->value_as_Sgd()->weightDecay(); }
+float Sgd::GetDampening() const { return this->primitive_->value_as_Sgd()->dampening(); }
+bool Sgd::GetUseNesterov() const { return this->primitive_->value_as_Sgd()->useNesterov(); }
+
+int Sgd::UnPackToFlatBuilder(const schema::Primitive *primitive, flatbuffers::FlatBufferBuilder *fbb) {
+  MS_ASSERT(nullptr != primitive);
+  MS_ASSERT(nullptr != fbb);
+  auto attr = primitive->value_as_Sgd();
+  if (attr == nullptr) {
+    MS_LOG(ERROR) << "value_as_Sgd return nullptr";
+    return RET_ERROR;
+  }
+  auto val_offset = schema::CreateSgd(*fbb, attr->weightDecay(), attr->dampening(), attr->useNesterov());
+  auto prim_offset = schema::CreatePrimitive(*fbb, schema::PrimitiveType_Sgd, val_offset.o);
+  fbb->Finish(prim_offset);
+  return RET_OK;
+}
+#endif
+
+int Sgd::InferShape(std::vector<lite::Tensor *> inputs, std::vector<lite::Tensor *> outputs) {
+  if (6 != inputs.size()) {
+    MS_LOG(ERROR) << "Sgd should have at least 6 input tensors";
+    return RET_ERROR;
+  }
+
+  if (inputs[0]->ElementsNum() != inputs[1]->ElementsNum() || inputs[0]->ElementsNum() != inputs[3]->ElementsNum() ||
+      inputs[2]->ElementsNum() != 1 || inputs[4]->ElementsNum() != 1) {
+    MS_LOG(ERROR) << "error input data size!";
+    return RET_ERROR;
+  }
+  if (!outputs.empty()) {
+    auto *out = outputs.front();
+    MS_ASSERT(out != nullptr);
+    out->set_data_type(inputs[0]->data_type());
+    out->SetFormat(inputs[0]->GetFormat());
+    out->set_shape({1});
+  }
+
+  return RET_OK;
+}
+}  // namespace lite
+}  // namespace mindspore
diff --git a/mindspore/lite/src/ops/sgd.h b/mindspore/lite/src/ops/sgd.h
new file mode 100644
index 0000000000..f5b6326ee3
--- /dev/null
+++ b/mindspore/lite/src/ops/sgd.h
@@ -0,0 +1,49 @@
+/**
+ * Copyright 2019-2020 Huawei Technologies Co., Ltd
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef MINDSPORE_LITE_SRC_OPS_SGD_H_
+#define MINDSPORE_LITE_SRC_OPS_SGD_H_
+
+#include <vector>
+#include <set>
+#include <cmath>
+#include <memory>
+
+#include "src/ops/primitive_c.h"
+
+namespace mindspore {
+namespace lite {
+class Sgd : public PrimitiveC {
+ public:
+#ifdef PRIMITIVE_WRITEABLE
+  MS_DECLARE_PARENT(Sgd, PrimitiveC);
+  Sgd() = default;
+  explicit Sgd(schema::PrimitiveT *primitive) : PrimitiveC(primitive) {}
+  int UnPackAttr(const Primitive &prim, const std::vector<AnfNodePtr> &inputs) override;
+#else
+  Sgd() = default;
+
+  int UnPackToFlatBuilder(const schema::Primitive *primitive, flatbuffers::FlatBufferBuilder *fbb) override;
+#endif
+  int InferShape(std::vector<lite::Tensor *> inputs_, std::vector<lite::Tensor *> outputs_) override;
+  float GetWeightDecay() const;
+  float GetDampening() const;
+  bool GetUseNesterov() const;
+};
+}  // namespace lite
+}  // namespace mindspore
+
+#endif  // MINDSPORE_LITE_SRC_OPS_SGD_H_
diff --git a/mindspore/lite/src/populate_parameter.cc b/mindspore/lite/src/populate_parameter.cc
index f9d93610c5..3c4f5b631e 100644
--- a/mindspore/lite/src/populate_parameter.cc
+++ b/mindspore/lite/src/populate_parameter.cc
@@ -633,6 +633,7 @@ OpParameter *PopulateFusedBatchNorm(const mindspore::lite::PrimitiveC *primitive
   auto param =
     reinterpret_cast<mindspore::lite::FusedBatchNorm *>(const_cast<mindspore::lite::PrimitiveC *>(primitive));
   batch_norm_param->epsilon_ = param->GetEpsilon();
+  batch_norm_param->momentum_ = param->GetMomentum();
   batch_norm_param->fused_ = true;
   return reinterpret_cast<OpParameter *>(batch_norm_param);
 }
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32/fused_batchnorm.cc b/mindspore/lite/src/runtime/kernel/arm/fp32/fused_batchnorm.cc
index bd97b59ac4..4741ed5c29 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32/fused_batchnorm.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32/fused_batchnorm.cc
@@ -37,6 +37,14 @@ void FusedBatchnormCPUKernel::FreeScaleAndOffset() {
     free(offset_);
     offset_ = nullptr;
   }
+  if (save_mean_ != nullptr) {
+    free(save_mean_);
+    save_mean_ = nullptr;
+  }
+  if (save_variance_ != nullptr) {
+    free(save_variance_);
+    save_variance_ = nullptr;
+  }
 }
 
 int FusedBatchnormCPUKernel::InitConstTensor() {
@@ -49,8 +57,11 @@ int FusedBatchnormCPUKernel::InitConstTensor() {
   offset_ = malloc(offset->Size());
   mean_ = malloc(mean->Size());
   variance_ = malloc(variance->Size());
+  save_mean_ = malloc(mean->Size());
+  save_variance_ = malloc(variance->Size());
 
-  if (scale_ == nullptr || offset_ == nullptr || mean_ == nullptr || variance_ == nullptr) {
+  if (scale_ == nullptr || offset_ == nullptr || mean_ == nullptr || variance_ == nullptr || save_mean_ == nullptr ||
+      save_variance_ == nullptr) {
     FreeMeanAndVariance();
     FreeScaleAndOffset();
     MS_LOG(ERROR) << "Memory allocation failed";
@@ -60,6 +71,15 @@ int FusedBatchnormCPUKernel::InitConstTensor() {
   memcpy(offset_, offset->MutableData(), offset->Size());
   memcpy(mean_, mean->MutableData(), mean->Size());
   memcpy(variance_, variance->MutableData(), variance->Size());
+  memset(save_mean_, 0, mean->Size());
+  memset(save_variance_, 0, variance->Size());
+  if (out_tensors_.size() > 4) {
+    for (size_t i = 1; i < out_tensors_.size(); i++) {
+      auto *data = static_cast<float *>(out_tensors_[i]->MutableData());
+      std::fill(data, data + out_tensors_[i]->ElementsNum(), 0.f);
+    }
+  }
+
   return RET_OK;
 }
 
@@ -70,15 +90,23 @@ int FusedBatchnormCPUKernel::Run() {
     return ret;
   }
   auto param = reinterpret_cast<BatchNormParameter *>(op_parameter_);
-  if (is_train()) {
+  if (is_train() && in_tensors_.size() >= 5) {
     float *in = static_cast<float *>(in_tensors_[0]->MutableData());
-    float *run_mean = static_cast<float *>(out_tensors_[1]->MutableData());
-    float *run_var = static_cast<float *>(out_tensors_[2]->MutableData());
-    float *save_mean = static_cast<float *>(out_tensors_[3]->MutableData());
-    float *save_inv_var = static_cast<float *>(out_tensors_[4]->MutableData());
-    std::fill(run_mean, run_mean + param->channel_, 0.f);
-    std::fill(run_var, run_var + param->channel_, 0.f);
-    FusedBatchNormFp32MeanVar(in, 0.9, run_mean, run_var, param, save_mean, save_inv_var);
+    float *scale = static_cast<float *>(in_tensors_[1]->MutableData());
+    float *bias = static_cast<float *>(in_tensors_[2]->MutableData());
+    float *mean = static_cast<float *>(in_tensors_[3]->MutableData());
+    float *var = static_cast<float *>(in_tensors_[4]->MutableData());
+    std::fill(mean, mean + in_tensors_[3]->ElementsNum(), 0.f);
+    std::fill(var, var + in_tensors_[4]->ElementsNum(), 0.f);
+    FusedBatchNormFp32MeanVar(in, mean, var, param, static_cast<float *>(save_mean_),
+                              static_cast<float *>(save_variance_));
+    memcpy(out_tensors_[3]->MutableData(), save_mean_, out_tensors_[3]->Size());
+    memcpy(out_tensors_[4]->MutableData(), save_variance_, out_tensors_[3]->Size());
+    memcpy(mean_, mean, in_tensors_[3]->Size());
+    memcpy(variance_, var, in_tensors_[4]->Size());
+    memcpy(scale_, scale, in_tensors_[1]->Size());
+    memcpy(offset_, bias, in_tensors_[2]->Size());
+    trained_ = true;  // trained at least once
   }
   ret = ParallelLaunch(this->context_->thread_pool_, BatchNormRun, this, op_parameter_->thread_num_);
   if (ret != RET_OK) {
@@ -87,6 +115,24 @@ int FusedBatchnormCPUKernel::Run() {
   return ret;
 }
 
+void FusedBatchnormCPUKernel::eval() {
+  LiteKernel::eval();
+  if (trained_) {
+    float *run_mean = static_cast<float *>(in_tensors_[3]->MutableData());
+    float *run_var = static_cast<float *>(in_tensors_[4]->MutableData());
+    float *scale = static_cast<float *>(in_tensors_[1]->MutableData());
+    float *bias = static_cast<float *>(in_tensors_[2]->MutableData());
+    // Copy to input tensors for Model export
+    memcpy(run_mean, save_mean_, in_tensors_[3]->Size());
+    memcpy(run_var, save_variance_, in_tensors_[4]->Size());
+    // Copy to local variables
+    memcpy(mean_, run_mean, in_tensors_[3]->Size());
+    memcpy(variance_, run_var, in_tensors_[4]->Size());
+    memcpy(scale_, scale, in_tensors_[1]->Size());
+    memcpy(offset_, bias, in_tensors_[2]->Size());
+  }
+}
+
 int FusedBatchnormCPUKernel::DoExecute(int task_id) {
   auto param = reinterpret_cast<BatchNormParameter *>(op_parameter_);
   FusedBatchNormFp32(in_tensors_.at(0)->MutableData(), scale_, offset_, mean_, variance_, param, task_id,
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32/fused_batchnorm.h b/mindspore/lite/src/runtime/kernel/arm/fp32/fused_batchnorm.h
index 615f1070d0..e1a42e2776 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32/fused_batchnorm.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32/fused_batchnorm.h
@@ -29,6 +29,7 @@ class FusedBatchnormCPUKernel : public BatchnormCPUKernel {
       : BatchnormCPUKernel(parameter, inputs, outputs, ctx, primitive) {}
   ~FusedBatchnormCPUKernel() { FreeScaleAndOffset(); }
 
+  void eval() override;
   int ReSize() override;
   int Run() override;
   int InitConstTensor() override;
@@ -38,6 +39,9 @@ class FusedBatchnormCPUKernel : public BatchnormCPUKernel {
   void FreeScaleAndOffset();
   void *scale_ = nullptr;
   void *offset_ = nullptr;
+  void *save_mean_ = nullptr;
+  void *save_variance_ = nullptr;
+  bool trained_ = false;
 };
 }  // namespace mindspore::kernel
 
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/activation_grad.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/activation_grad.cc
index 3559fd9f8e..12ede4a061 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/activation_grad.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/activation_grad.cc
@@ -32,7 +32,13 @@ using mindspore::schema::ActivationType_RELU6;
 using mindspore::schema::PrimitiveType_ActivationGrad;
 
 namespace mindspore::kernel {
-int ActivationGradCPUKernel::Init() { return RET_OK; }
+int ActivationGradCPUKernel::Init() {
+  if (2 != in_tensors_.size()) {
+    MS_LOG(ERROR) << "ActivationGrad should have 2 input tensors";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
 
 int ActivationGradCPUKernel::ReSize() { return RET_OK; }
 
@@ -42,22 +48,32 @@ int ActivationGradCPUKernel::DoActivation(int task_id) {
   auto output_addr = reinterpret_cast<float *>(out_tensors_.at(0)->MutableData());
   int length = in_tensors_.at(0)->ElementsNum();
 
+  int stride = UP_DIV(length, thread_count_);
+  int count = MSMIN(stride, length - stride * task_id);
+
   auto error_code = RET_OK;
 
   if (param_act_grad_->type_ == schema::ActivationType_RELU) {
-    error_code = ReluGrad(yt_addr, input_addr, length, output_addr);
+    error_code =
+      ReluGrad(yt_addr + stride * task_id, input_addr + stride * task_id, count, output_addr + stride * task_id);
   } else if (param_act_grad_->type_ == schema::ActivationType_RELU6) {
-    error_code = Relu6Grad(yt_addr, input_addr, length, output_addr);
+    error_code =
+      Relu6Grad(yt_addr + stride * task_id, input_addr + stride * task_id, count, output_addr + stride * task_id);
   } else if (param_act_grad_->type_ == schema::ActivationType_LEAKY_RELU) {
-    error_code = LReluGrad(yt_addr, input_addr, length, output_addr, param_act_grad_->alpha_);
+    error_code = LReluGrad(yt_addr + stride * task_id, input_addr + stride * task_id, count,
+                           output_addr + stride * task_id, param_act_grad_->alpha_);
   } else if (param_act_grad_->type_ == schema::ActivationType_SIGMOID) {
-    error_code = SigmoidGrad(yt_addr, input_addr, length, output_addr);
+    error_code =
+      SigmoidGrad(yt_addr + stride * task_id, input_addr + stride * task_id, count, output_addr + stride * task_id);
   } else if (param_act_grad_->type_ == schema::ActivationType_TANH) {
-    error_code = TanhGrad(yt_addr, input_addr, length, output_addr);
+    error_code =
+      TanhGrad(yt_addr + stride * task_id, input_addr + stride * task_id, count, output_addr + stride * task_id);
   } else if (param_act_grad_->type_ == schema::ActivationType_HSWISH) {
-    error_code = HSwishGrad(yt_addr, input_addr, length, output_addr);
+    error_code =
+      HSwishGrad(yt_addr + stride * task_id, input_addr + stride * task_id, count, output_addr + stride * task_id);
   } else if (param_act_grad_->type_ == schema::ActivationType_HSIGMOID) {
-    error_code = HSigmoidGrad(yt_addr, input_addr, length, output_addr);
+    error_code =
+      HSigmoidGrad(yt_addr + stride * task_id, input_addr + stride * task_id, count, output_addr + stride * task_id);
   } else {
     MS_LOG(ERROR) << "Activation type error";
     return RET_ERROR;
@@ -81,13 +97,13 @@ int ActivationGradRun(void *cdata, int task_id) {
 int ActivationGradCPUKernel::Run() {
   auto ret = Prepare();
   if (ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare failed.";
+    MS_LOG(ERROR) << "ActivationGradCPUKernel Prepare failed.";
     return ret;
   }
 
-  int error_code = ParallelLaunch(this->context_->thread_pool_, ActivationGradRun, this, thread_count_);
+  int error_code = ParallelLaunch(this->context_->thread_pool_, ActivationGradRun, this, 1);
   if (error_code != RET_OK) {
-    MS_LOG(ERROR) << "Activation function error error_code[" << error_code << "]";
+    MS_LOG(ERROR) << "Activation Grad function error error_code[" << error_code << "]";
     return RET_ERROR;
   }
   return RET_OK;
@@ -107,7 +123,7 @@ kernel::LiteKernel *CpuActivationGradFp32KernelCreator(const std::vector<lite::T
   }
   auto ret = kernel->Init();
   if (ret != RET_OK) {
-    MS_LOG(ERROR) << "InferShape kernel failed, name: " << opParameter->name_ << ", type: "
+    MS_LOG(ERROR) << "Init kernel failed, name: " << opParameter->name_ << ", type: "
                   << schema::EnumNamePrimitiveType(static_cast<schema::PrimitiveType>(opParameter->type_));
     delete kernel;
     return nullptr;
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/apply_momentum.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/apply_momentum.cc
index 46356b2209..8f53a60c3d 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/apply_momentum.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/apply_momentum.cc
@@ -19,6 +19,7 @@
 #include "schema/model_generated.h"
 #include "src/kernel_registry.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
 #include "src/runtime/kernel/arm/fp32/nchw2nhwc.h"
 
 using mindspore::kernel::KERNEL_ARCH::kCPU;
@@ -31,13 +32,7 @@ namespace mindspore::kernel {
 
 int ApplyMomentumCPUKernel::ReSize() { return RET_OK; }
 
-int ApplyMomentumCPUKernel::Run() {
-  auto prepare_ret = Prepare();
-  if (prepare_ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare fail!ret: " << prepare_ret;
-    return prepare_ret;
-  }
-
+int ApplyMomentumCPUKernel::Execute(int task_id) {
   auto weight = reinterpret_cast<float *>(in_tensors_[0]->MutableData());
   auto accumulate = reinterpret_cast<float *>(in_tensors_[1]->MutableData());
   float learning_rate = reinterpret_cast<float *>(in_tensors_[2]->MutableData())[0];
@@ -45,9 +40,41 @@ int ApplyMomentumCPUKernel::Run() {
   float moment = reinterpret_cast<float *>(in_tensors_[4]->MutableData())[0];
   size_t elem_num = in_tensors_[0]->ElementsNum();
 
-  for (size_t i = 0; i < elem_num; ++i) {
-    accumulate[i] = accumulate[i] * moment + gradient[i];  // * (1.0 - moment);
-    weight[i] -= accumulate[i] * learning_rate;
+  if (apply_momentum_param_->use_nesterov_) {
+    for (size_t i = 0; i < elem_num; ++i) {
+      accumulate[i] = accumulate[i] * moment + gradient[i];
+      weight[i] -= (accumulate[i] * moment + gradient[i]) * learning_rate;
+    }
+  } else {
+    for (size_t i = 0; i < elem_num; ++i) {
+      accumulate[i] = accumulate[i] * moment + gradient[i];
+      weight[i] -= accumulate[i] * learning_rate;
+    }
+  }
+  return RET_OK;
+}
+
+int ApplyMomentumRun(void *cdata, int task_id) {
+  auto applyMomentum_kernel = reinterpret_cast<ApplyMomentumCPUKernel *>(cdata);
+  auto error_code = applyMomentum_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "apply Momentum run error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int ApplyMomentumCPUKernel::Run() {
+  auto prepare_ret = Prepare();
+  if (prepare_ret != RET_OK) {
+    MS_LOG(ERROR) << "ApplyMomentumCPUKernel Prepare fail!ret: " << prepare_ret;
+    return prepare_ret;
+  }
+
+  int error_code = ParallelLaunch(this->context_->thread_pool_, ApplyMomentumRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "Apply Momentum function error error_code[" << error_code << "]";
+    return RET_ERROR;
   }
   return RET_OK;
 }
@@ -77,6 +104,7 @@ kernel::LiteKernel *CpuApplyMomentumFp32KernelCreator(const std::vector<lite::Te
     delete kernel;
     return nullptr;
   }
+
   return kernel;
 }
 
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/apply_momentum.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/apply_momentum.h
index 21add7a896..bef6154d4c 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/apply_momentum.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/apply_momentum.h
@@ -19,6 +19,7 @@
 
 #include <vector>
 #include "src/lite_kernel.h"
+#include "nnacl/fp32_grad/optimizer.h"
 
 namespace mindspore::kernel {
 class ApplyMomentumCPUKernel : public LiteKernel {
@@ -26,11 +27,17 @@ class ApplyMomentumCPUKernel : public LiteKernel {
   explicit ApplyMomentumCPUKernel(OpParameter *parameter, const std::vector<lite::Tensor *> &inputs,
                                   const std::vector<lite::Tensor *> &outputs, const lite::InnerContext *ctx,
                                   const mindspore::lite::PrimitiveC *primitive)
-      : LiteKernel(parameter, inputs, outputs, ctx, primitive) {}
+      : LiteKernel(parameter, inputs, outputs, ctx, primitive), apply_momentum_param_(nullptr) {
+    apply_momentum_param_ = reinterpret_cast<ApplyMomentumParameter *>(parameter);
+  }
   ~ApplyMomentumCPUKernel() override {}
   int Init() override;
   int ReSize() override;
   int Run() override;
+  int Execute(int task_id);
+
+ private:
+  ApplyMomentumParameter *apply_momentum_param_;
 };
 }  // namespace mindspore::kernel
 
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/arithmetic_grad.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/arithmetic_grad.cc
index b56fd8fcd2..980f22f381 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/arithmetic_grad.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/arithmetic_grad.cc
@@ -20,6 +20,7 @@
 #include "nnacl/fp32_grad/reduce_grad.h"
 #include "nnacl/fp32_grad/arithmetic_grad.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
 
 using mindspore::kernel::KERNEL_ARCH::kCPU;
 using mindspore::lite::KernelRegistrar;
@@ -36,14 +37,13 @@ int ArithmeticGradCPUKernel::Init() {
   MS_ASSERT(dx2 != nullptr);
 
   if ((Type() == PrimitiveType_MulGrad) || (Type() == PrimitiveType_DivGrad)) {
-    // if (inShape0.size() < inShape1.size())
     if (dx1->ElementsNum() < dx2->ElementsNum()) {
       if (Type() == PrimitiveType_MulGrad)
         arithmetic_grad_ = &ArithmeticGradCPUKernel::ArithmeticGradMul2L;
       else if (Type() == PrimitiveType_DivGrad)
         arithmetic_grad_ = &ArithmeticGradCPUKernel::ArithmeticGradDiv2L;
 
-    } else if (dx2->ElementsNum() < dx1->ElementsNum()) {  // if (inShape0.size() > inShape1.size())
+    } else if (dx2->ElementsNum() < dx1->ElementsNum()) {
       if (Type() == PrimitiveType_MulGrad)
         arithmetic_grad_ = &ArithmeticGradCPUKernel::ArithmeticGradMul1L;
       else if (Type() == PrimitiveType_DivGrad)
@@ -157,7 +157,6 @@ void ArithmeticGradCPUKernel::ArithmeticGradDiv1L(float *dy, int dy_size, float
   ReduceSumByAxes(tile_data2, arithmeticParameter_->in_shape0_, dx2, arithmeticParameter_->in_shape1_,
                   arithmeticParameter_->ndim_);
   for (int i = 0; i < dx2_size; i++) dx2[i] = -dx2[i];
-  // ReduceNegSumPrefix(tile_data2, dy_size, dx2, dx2_size); //then reduce into dx2
 
   // broadcasting x2
   BroadcastDiv(dy, x2_data, tile_data0, tile_data1, dx1, dy_size, arithmeticParameter_);  // broadcast directly to dx1
@@ -180,7 +179,7 @@ void ArithmeticGradCPUKernel::ArithmeticGradDiv2L(float *dy, int dy_size, float
 
 int ArithmeticGradCPUKernel::ReSize() { return RET_OK; }
 
-int ArithmeticGradCPUKernel::Run() {
+int ArithmeticGradCPUKernel::Execute(int task_id) {
   auto dy = reinterpret_cast<float *>(in_tensors_[0]->MutableData());
   auto dx1 = reinterpret_cast<float *>(out_tensors_[0]->MutableData());
   auto dx2 = reinterpret_cast<float *>(out_tensors_[1]->MutableData());
@@ -192,6 +191,30 @@ int ArithmeticGradCPUKernel::Run() {
   return RET_OK;
 }
 
+int ArithmeticGradRun(void *cdata, int task_id) {
+  auto Arithmetic_kernel = reinterpret_cast<ArithmeticGradCPUKernel *>(cdata);
+  auto error_code = Arithmetic_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "ArithmeticGradRun error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int ArithmeticGradCPUKernel::Run() {
+  auto ret = Prepare();
+  if (ret != RET_OK) {
+    MS_LOG(ERROR) << "ArithmeticGradCPUKernel Prepare failed.";
+    return ret;
+  }
+  int error_code = ParallelLaunch(this->context_->thread_pool_, ArithmeticGradRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "Arithmetic Grad function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
 kernel::LiteKernel *CpuArithmeticGradFp32KernelCreator(const std::vector<lite::Tensor *> &inputs,
                                                        const std::vector<lite::Tensor *> &outputs,
                                                        OpParameter *opParameter, const lite::InnerContext *ctx,
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/arithmetic_grad.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/arithmetic_grad.h
index 479b2d1e48..7f480daf4c 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/arithmetic_grad.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/arithmetic_grad.h
@@ -68,6 +68,7 @@ class ArithmeticGradCPUKernel : public LiteKernel {
   int InferShape();
   int ReSize() override;
   int Run() override;
+  int Execute(int task_id);
 
  private:
   void ArithmeticGradAdd(float *dy, int dy_size, float *dx1, int dx1_size, float *dx2, int dx2_size);
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bias_grad.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bias_grad.cc
index 0b8cf33ade..0da128cf48 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bias_grad.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bias_grad.cc
@@ -19,6 +19,7 @@
 #include "schema/model_generated.h"
 #include "src/kernel_registry.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
 
 using mindspore::kernel::KERNEL_ARCH::kCPU;
 using mindspore::lite::KernelRegistrar;
@@ -43,14 +44,9 @@ int BiasGradCPUKernel::Init() {
   return RET_OK;
 }
 
-int BiasGradCPUKernel::ReSize() { return 0; }
+int BiasGradCPUKernel::ReSize() { return RET_OK; }
 
-int BiasGradCPUKernel::Run() {
-  auto ret = Prepare();
-  if (ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare failed.";
-    return RET_ERROR;
-  }
+int BiasGradCPUKernel::Execute(int task_id) {
   auto in = reinterpret_cast<float *>(in_tensors_.at(0)->MutableData());
   auto out = reinterpret_cast<float *>(out_tensors_.at(0)->MutableData());
 
@@ -69,6 +65,30 @@ int BiasGradCPUKernel::Run() {
   return RET_OK;
 }
 
+int BiasGradRun(void *cdata, int task_id) {
+  auto bias_kernel = reinterpret_cast<BiasGradCPUKernel *>(cdata);
+  auto error_code = bias_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "bias error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int BiasGradCPUKernel::Run() {
+  auto ret = Prepare();
+  if (ret != RET_OK) {
+    MS_LOG(ERROR) << "BiasGradCPUKernel Prepare failed.";
+    return RET_ERROR;
+  }
+  int error_code = ParallelLaunch(this->context_->thread_pool_, BiasGradRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "bias function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
 kernel::LiteKernel *CpuBiasGradFp32KernelCreator(const std::vector<lite::Tensor *> &inputs,
                                                  const std::vector<lite::Tensor *> &outputs, OpParameter *opParameter,
                                                  const lite::InnerContext *ctx, const kernel::KernelKey &desc,
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bias_grad.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bias_grad.h
index 7d874fc72f..43f4cf389b 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bias_grad.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bias_grad.h
@@ -35,6 +35,7 @@ class BiasGradCPUKernel : public LiteKernel {
   int Init() override;
   int ReSize() override;
   int Run() override;
+  int Execute(int task_id);
 
  private:
   ArithmeticParameter *bias_param;
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bn_grad.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bn_grad.cc
index ce9bb95dd3..d9f422011e 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bn_grad.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bn_grad.cc
@@ -21,6 +21,7 @@
 #include "src/kernel_registry.h"
 #include "nnacl/fp32_grad/batch_norm.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
 
 using mindspore::kernel::KERNEL_ARCH::kCPU;
 using mindspore::lite::KernelRegistrar;
@@ -33,23 +34,13 @@ namespace mindspore::kernel {
 int BNGradCPUKernel::Init() {
   auto *input_x = in_tensors_.at(1);
   int channels = input_x->shape().at(kNHWC_C);
-  workspace_size = 4 * channels;
-  workspace = new (std::nothrow) float[workspace_size];
-  if (workspace == nullptr) {
-    MS_LOG(ERROR) << "new workspace fail!";
-    return RET_ERROR;
-  }
+  SetWorkspaceSize(4 * channels * sizeof(float));
   return RET_OK;
 }
 
 int BNGradCPUKernel::ReSize() { return RET_OK; }
 
-int BNGradCPUKernel::Run() {
-  auto prepare_ret = Prepare();
-  if (prepare_ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare fail!ret: " << prepare_ret;
-    return prepare_ret;
-  }
+int BNGradCPUKernel::Execute(int task_id) {
   auto bn_param = reinterpret_cast<BNGradParameter *>(op_parameter_);
   auto *input_yt = in_tensors_.at(0);
   auto *input_x = in_tensors_.at(1);
@@ -61,7 +52,9 @@ int BNGradCPUKernel::Run() {
   int channels = input_x->Channel();
   int spatial = input_x->Height() * input_x->Width();
   float eps = bn_param->epsilon_;
-  std::fill(workspace, workspace + workspace_size, 0.f);
+
+  float *workspace = static_cast<float *>(GetWorkspace());
+  std::fill(workspace, workspace + GetWorkspaceSize() / sizeof(*workspace), 0.f);
   float *mean = workspace;
   float *invar = mean + channels;
   float *dxhat_sum = invar + channels;
@@ -82,6 +75,33 @@ int BNGradCPUKernel::Run() {
   return RET_OK;
 }
 
+int BNGradRun(void *cdata, int task_id) {
+  auto bn_kernel = reinterpret_cast<BNGradCPUKernel *>(cdata);
+  if (task_id == 0) {
+    auto error_code = bn_kernel->Execute(task_id);
+    if (error_code != RET_OK) {
+      MS_LOG(ERROR) << "BNGradRun error task_id[" << task_id << "] error_code[" << error_code << "]";
+      return RET_ERROR;
+    }
+  }
+  return RET_OK;
+}
+
+int BNGradCPUKernel::Run() {
+  // std::cout << "run succ" << std::endl;
+  auto prepare_ret = Prepare();
+  if (prepare_ret != RET_OK) {
+    MS_LOG(ERROR) << "BNGradCPUKernel Prepare fail!ret: " << prepare_ret;
+    return prepare_ret;
+  }
+  int error_code = ParallelLaunch(this->context_->thread_pool_, BNGradRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "BN function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
 kernel::LiteKernel *CpuBNGradFp32KernelCreator(const std::vector<lite::Tensor *> &inputs,
                                                const std::vector<lite::Tensor *> &outputs, OpParameter *opParameter,
                                                const lite::InnerContext *ctx, const kernel::KernelKey &desc,
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bn_grad.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bn_grad.h
index 4bbbce34a6..cc2b57b8cc 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bn_grad.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/bn_grad.h
@@ -27,18 +27,12 @@ class BNGradCPUKernel : public LiteKernel {
   explicit BNGradCPUKernel(OpParameter *parameter, const std::vector<lite::Tensor *> &inputs,
                            const std::vector<lite::Tensor *> &outputs, const lite::InnerContext *ctx,
                            const mindspore::lite::PrimitiveC *primitive)
-      : LiteKernel(parameter, inputs, outputs, ctx, primitive), workspace(nullptr), workspace_size(0) {}
-  ~BNGradCPUKernel() override {
-    if (workspace) delete[] workspace;
-  }
-
+      : LiteKernel(parameter, inputs, outputs, ctx, primitive) {}
+  ~BNGradCPUKernel() override {}
   int Init() override;
   int ReSize() override;
   int Run() override;
-
- private:
-  float *workspace;
-  int workspace_size;
+  int Execute(int task_id);
 };
 }  // namespace mindspore::kernel
 #endif  // MINDSPORE_LITE_SRC_RUNTIME_KERNEL_ARM_FP32_GRAD_BN_GRAD_H_
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution.cc
index 1c375bcbcf..3193971ef4 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution.cc
@@ -18,6 +18,7 @@
 #include "nnacl/fp32_grad/pack_ext.h"
 #include "nnacl/fp32_grad/gemm.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
 
 using mindspore::kernel::KERNEL_ARCH::kCPU;
 using mindspore::lite::RET_ERROR;
@@ -25,6 +26,14 @@ using mindspore::lite::RET_OK;
 
 namespace mindspore::kernel {
 int ConvolutionTrainCPUKernel::Init() {
+  if (2 != in_tensors_.size()) {
+    MS_LOG(ERROR) << "Convolution should have two inputs";
+    return RET_ERROR;
+  }
+  if (1 != out_tensors_.size()) {
+    MS_LOG(ERROR) << "Convolution should have one output";
+    return RET_ERROR;
+  }
   auto conv_param_ = reinterpret_cast<ConvParameter *>(op_parameter_);
   auto *input_x = in_tensors_.at(kInputIndex);
   auto *input_weight = in_tensors_.at(kWeightIndex);
@@ -46,22 +55,13 @@ int ConvolutionTrainCPUKernel::Init() {
   int ws_size = conv_param_->output_h_ * conv_param_->output_w_ * conv_param_->kernel_h_ * conv_param_->kernel_w_ *
                 conv_param_->input_channel_ / conv_param_->group_;
 
-  workspace = new (std::nothrow) float[ws_size];
-  if (workspace == nullptr) {
-    MS_LOG(ERROR) << "new workspace fail!";
-    return RET_ERROR;
-  }
+  SetWorkspaceSize(ws_size * sizeof(float));
   return RET_OK;
 }
 
 int ConvolutionTrainCPUKernel::ReSize() { return RET_OK; }
 
-int ConvolutionTrainCPUKernel::Run() {
-  auto prepare_ret = Prepare();
-  if (prepare_ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare fail!ret: " << prepare_ret;
-    return prepare_ret;
-  }
+int ConvolutionTrainCPUKernel::Execute(int task_id) {
   auto conv_param_ = reinterpret_cast<ConvParameter *>(op_parameter_);
   auto *input_x = in_tensors_.at(kInputIndex);
   auto *input_w = in_tensors_.at(kWeightIndex);
@@ -86,6 +86,7 @@ int ConvolutionTrainCPUKernel::Run() {
   int m = out_h * out_w;
   int n = out_ch / groups;
   int k = k_h * k_w * in_ch / groups;
+  float *workspace = static_cast<float *>(GetWorkspace());
 
   memset(y_addr, 0, out_y->Size());
 
@@ -99,6 +100,31 @@ int ConvolutionTrainCPUKernel::Run() {
       gemm(0, 1, m, n, k, 1, mat_a, k, mat_b, k, 1, mat_c, out_ch);
     }
   }
+
+  return RET_OK;
+}
+
+int ConvolutionTrainRun(void *cdata, int task_id) {
+  auto conv_kernel = reinterpret_cast<ConvolutionTrainCPUKernel *>(cdata);
+  auto error_code = conv_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "ConvolutionTrainRun error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int ConvolutionTrainCPUKernel::Run() {
+  auto prepare_ret = Prepare();
+  if (prepare_ret != RET_OK) {
+    MS_LOG(ERROR) << "ConvolutionTrainCPUKernel Prepare fail!ret: " << prepare_ret;
+    return prepare_ret;
+  }
+  int error_code = ParallelLaunch(this->context_->thread_pool_, ConvolutionTrainRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "conv train function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
   return RET_OK;
 }
 
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution.h
index fee2a38f32..dd92d28183 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution.h
@@ -26,17 +26,13 @@ class ConvolutionTrainCPUKernel : public LiteKernel {
   explicit ConvolutionTrainCPUKernel(OpParameter *parameter, const std::vector<lite::Tensor *> &inputs,
                                      const std::vector<lite::Tensor *> &outputs, const lite::InnerContext *ctx,
                                      const lite::PrimitiveC *primitive)
-      : LiteKernel(parameter, inputs, outputs, ctx, primitive), workspace(nullptr) {}
-  ~ConvolutionTrainCPUKernel() override {
-    if (workspace) delete[] workspace;
-  }
+      : LiteKernel(parameter, inputs, outputs, ctx, primitive) {}
+  ~ConvolutionTrainCPUKernel() override {}
 
   int Init() override;
   int ReSize() override;
   int Run() override;
-
- private:
-  float *workspace;
+  int Execute(int task_id);
 };
 
 kernel::LiteKernel *CpuConvTrainFp32KernelCreator(const std::vector<lite::Tensor *> &inputs,
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_filter.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_filter.cc
index 4c703e2874..cf54e4675b 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_filter.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_filter.cc
@@ -20,6 +20,7 @@
 #include "nnacl/fp32_grad/pack_ext.h"
 #include "nnacl/fp32_grad/gemm.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
 
 using mindspore::kernel::KERNEL_ARCH::kCPU;
 using mindspore::lite::KernelRegistrar;
@@ -50,26 +51,16 @@ int ConvolutionGradFilterCPUKernel::Init() {
   conv_param->output_h_ = dy_tensor->shape()[kNHWC_H];
   conv_param->output_w_ = dy_tensor->shape()[kNHWC_W];
 
-  int ws_size = conv_param->output_h_ * conv_param->output_w_ * conv_param->kernel_h_ * conv_param->kernel_w_ *
-                conv_param->input_channel_ / conv_param->group_;
-
-  workspace = new (std::nothrow) float[ws_size];
-  if (workspace == nullptr) {
-    MS_LOG(ERROR) << "new workspace fail!";
-    return RET_ERROR;
-  }
+  size_t ws_size = conv_param->output_h_ * conv_param->output_w_ * conv_param->kernel_h_ * conv_param->kernel_w_ *
+                   conv_param->input_channel_ / conv_param->group_;
 
+  SetWorkspaceSize(ws_size * sizeof(float));
   return RET_OK;
 }
 
 int ConvolutionGradFilterCPUKernel::ReSize() { return RET_OK; }
 
-int ConvolutionGradFilterCPUKernel::Run() {
-  auto prepare_ret = Prepare();
-  if (prepare_ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare fail!ret: " << prepare_ret;
-    return prepare_ret;
-  }
+int ConvolutionGradFilterCPUKernel::Execute(int task_id) {
   auto conv_param = reinterpret_cast<ConvParameter *>(op_parameter_);
   auto *input_dy = in_tensors_.at(0);
   auto *input_x = in_tensors_.at(1);
@@ -84,8 +75,8 @@ int ConvolutionGradFilterCPUKernel::Run() {
   int in_ch = conv_param->input_channel_;
   int in_h = conv_param->input_h_;
   int in_w = conv_param->input_w_;
-  int k_h = conv_param->kernel_h_;  // out_dw->shape()[1];
-  int k_w = conv_param->kernel_w_;  // out_dw->shape()[2];
+  int k_h = conv_param->kernel_h_;
+  int k_w = conv_param->kernel_w_;
   int batch = conv_param->output_batch_;
   int out_ch = conv_param->output_channel_;
   int groups = conv_param->group_;
@@ -96,6 +87,8 @@ int ConvolutionGradFilterCPUKernel::Run() {
   int n = k_h * k_w * in_ch / groups;
   int k = out_ch / groups;
 
+  float *workspace = reinterpret_cast<float *>(GetWorkspace());
+
   // zero out pointer
   memset(dw_addr, 0, out_dw->Size());
 
@@ -104,15 +97,39 @@ int ConvolutionGradFilterCPUKernel::Run() {
       float *mat_a = dy_addr + (i * groups) * m * k + j * (out_ch / groups);
       float *mat_b = workspace;
       float *mat_c = dw_addr + j * nweights / groups;
-      float *im = x_addr + (i * groups) * (in_ch / groups) * in_h * in_w + j * (in_ch / groups);
+      float *im = x_addr + (i * in_ch * in_h * in_w) + j * (in_ch / groups);
 
-      im2row_hwc(im, mat_b, conv_param);
+      im2row_hwc(im, mat_b, conv_param, false);
       gemm(1, 1, k, n, m, 1, mat_a, out_ch, mat_b, m, 1, mat_c, n);
     }
   }
   return RET_OK;
 }
 
+int ConvolutionGradFilterRun(void *cdata, int task_id) {
+  auto convfilter_kernel = reinterpret_cast<ConvolutionGradFilterCPUKernel *>(cdata);
+  auto error_code = convfilter_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "ConvolutionGradFilterRun error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int ConvolutionGradFilterCPUKernel::Run() {
+  auto prepare_ret = Prepare();
+  if (prepare_ret != RET_OK) {
+    MS_LOG(ERROR) << "ConvolutionGradFilterCPUKernel Prepare fail!ret: " << prepare_ret;
+    return prepare_ret;
+  }
+  int error_code = ParallelLaunch(this->context_->thread_pool_, ConvolutionGradFilterRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "conv filter function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
 kernel::LiteKernel *CpuConvGradFilterFp32KernelCreator(const std::vector<lite::Tensor *> &inputs,
                                                        const std::vector<lite::Tensor *> &outputs,
                                                        OpParameter *opParameter, const lite::InnerContext *ctx,
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_filter.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_filter.h
index afb3624935..a8eaefdafc 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_filter.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_filter.h
@@ -26,17 +26,14 @@ class ConvolutionGradFilterCPUKernel : public LiteKernel {
   explicit ConvolutionGradFilterCPUKernel(OpParameter *parameter, const std::vector<lite::Tensor *> &inputs,
                                           const std::vector<lite::Tensor *> &outputs, const lite::InnerContext *ctx,
                                           const mindspore::lite::PrimitiveC *primitive)
-      : LiteKernel(parameter, inputs, outputs, ctx, primitive), workspace(nullptr) {}
-  ~ConvolutionGradFilterCPUKernel() override {
-    if (workspace) delete[] workspace;
-  }
+
+      : LiteKernel(parameter, inputs, outputs, ctx, primitive) {}
+  ~ConvolutionGradFilterCPUKernel() override {}
 
   int Init() override;
   int ReSize() override;
   int Run() override;
-
- private:
-  float *workspace = nullptr;
+  int Execute(int task_id);
 };
 
 }  // namespace mindspore::kernel
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_input.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_input.cc
index c8a370c29f..57c94fc8f2 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_input.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_input.cc
@@ -20,6 +20,7 @@
 #include "nnacl/fp32_grad/pack_ext.h"
 #include "nnacl/fp32_grad/gemm.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
 
 using mindspore::kernel::KERNEL_ARCH::kCPU;
 using mindspore::lite::KernelRegistrar;
@@ -50,26 +51,16 @@ int ConvolutionGradInputCPUKernel::Init() {
   conv_param->output_h_ = dy_tensor->shape()[kNHWC_H];
   conv_param->output_w_ = dy_tensor->shape()[kNHWC_W];
 
-  int ws_size = conv_param->output_h_ * conv_param->output_w_ * conv_param->kernel_h_ * conv_param->kernel_w_ *
-                conv_param->input_channel_ / conv_param->group_;
+  size_t ws_size = conv_param->output_h_ * conv_param->output_w_ * conv_param->kernel_h_ * conv_param->kernel_w_ *
+                   conv_param->input_channel_ / conv_param->group_;
 
-  workspace = new (std::nothrow) float[ws_size];
-  if (workspace == nullptr) {
-    MS_LOG(ERROR) << "new workspace fail!";
-    return RET_ERROR;
-  }
+  SetWorkspaceSize(ws_size * sizeof(float));
   return RET_OK;
 }
 
-int ConvolutionGradInputCPUKernel::ReSize() { return 0; }
-
-int ConvolutionGradInputCPUKernel::Run() {
-  auto prepare_ret = Prepare();
-  if (prepare_ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare fail!ret: " << prepare_ret;
-    return prepare_ret;
-  }
+int ConvolutionGradInputCPUKernel::ReSize() { return RET_OK; }
 
+int ConvolutionGradInputCPUKernel::Execute(int task_id) {
   auto conv_param = reinterpret_cast<ConvParameter *>(op_parameter_);
   auto *input_dy = in_tensors_.at(0);
   auto *input_w = in_tensors_.at(1);
@@ -95,6 +86,7 @@ int ConvolutionGradInputCPUKernel::Run() {
   int m = out_h * out_w;
   int n = k_w * k_h * in_ch / groups;
   int k = out_ch / groups;
+  float *workspace = reinterpret_cast<float *>(GetWorkspace());
 
   memset(dx_addr, 0, sizeof(float) * batch * in_ch * in_h * in_w);
 
@@ -107,6 +99,32 @@ int ConvolutionGradInputCPUKernel::Run() {
       col2im_hwc(mat_c, dx_addr + (i * groups) * (in_ch / groups) * in_h * in_w + j * (in_ch / groups), conv_param);
     }
   }
+
+  return RET_OK;
+}
+
+int ConvolutionGradInputRun(void *cdata, int task_id) {
+  auto convinput_kernel = reinterpret_cast<ConvolutionGradInputCPUKernel *>(cdata);
+  auto error_code = convinput_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "conv input error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int ConvolutionGradInputCPUKernel::Run() {
+  auto prepare_ret = Prepare();
+  if (prepare_ret != RET_OK) {
+    MS_LOG(ERROR) << "ConvolutionGradInputCPUKernel Prepare fail!ret: " << prepare_ret;
+    return prepare_ret;
+  }
+
+  int error_code = ParallelLaunch(this->context_->thread_pool_, ConvolutionGradInputRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "bias function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
   return RET_OK;
 }
 
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_input.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_input.h
index beb0cc1987..6bea61b59c 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_input.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/convolution_grad_input.h
@@ -26,17 +26,13 @@ class ConvolutionGradInputCPUKernel : public LiteKernel {
   explicit ConvolutionGradInputCPUKernel(OpParameter *parameter, const std::vector<lite::Tensor *> &inputs,
                                          const std::vector<lite::Tensor *> &outputs, const lite::InnerContext *ctx,
                                          const mindspore::lite::PrimitiveC *primitive)
-      : LiteKernel(parameter, inputs, outputs, ctx, primitive), workspace(nullptr) {}
-  ~ConvolutionGradInputCPUKernel() override {
-    if (workspace) delete[] workspace;
-  }
+      : LiteKernel(parameter, inputs, outputs, ctx, primitive) {}
+  ~ConvolutionGradInputCPUKernel() override {}
 
   int Init() override;
   int ReSize() override;
   int Run() override;
-
- private:
-  float *workspace;
+  int Execute(int task_id);
 };
 }  // namespace mindspore::kernel
 
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/deconvolution_grad_filter.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/deconvolution_grad_filter.cc
new file mode 100644
index 0000000000..67c86ae01b
--- /dev/null
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/deconvolution_grad_filter.cc
@@ -0,0 +1,155 @@
+/**
+ * Copyright 2019 Huawei Technologies Co., Ltd
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "src/runtime/kernel/arm/fp32_grad/deconvolution_grad_filter.h"
+#include "src/kernel_registry.h"
+#include "nnacl/pack.h"
+#include "nnacl/fp32_grad/pack_ext.h"
+#include "nnacl/fp32_grad/gemm.h"
+#include "include/errorcode.h"
+
+using mindspore::kernel::KERNEL_ARCH::kCPU;
+using mindspore::lite::KernelRegistrar;
+using mindspore::lite::RET_ERROR;
+using mindspore::lite::RET_OK;
+using mindspore::schema::PrimitiveType_DeConv2DGradFilter;
+
+namespace mindspore::kernel {
+int DeConvolutionGradFilterCPUKernel::Init() {
+  // dy is in input 0
+  // x is in input 1
+  // dw is output 0
+
+  auto *x_tensor = in_tensors_.at(1);
+  MS_ASSERT(x_tensor != nullptr);
+  auto *dy_tensor = in_tensors_.at(0);
+  MS_ASSERT(dy_tensor != nullptr);
+
+  auto conv_param = reinterpret_cast<ConvParameter *>(op_parameter_);
+  conv_param->output_batch_ = dy_tensor->shape().at(kNHWC_N);
+  conv_param->input_batch_ = x_tensor->shape().at(kNHWC_N);
+  conv_param->input_h_ = x_tensor->shape().at(kNHWC_H);
+  conv_param->input_w_ = x_tensor->shape().at(kNHWC_W);
+  // assume OutCh|kh|kw|InCh
+  conv_param->input_channel_ = x_tensor->shape().at(kNHWC_C);
+  conv_param->output_channel_ = dy_tensor->shape().at(kNHWC_C);
+
+  conv_param->output_h_ = dy_tensor->shape()[kNHWC_H];
+  conv_param->output_w_ = dy_tensor->shape()[kNHWC_W];
+
+  int ws_size = conv_param->input_h_ * conv_param->input_w_ * conv_param->kernel_h_ * conv_param->kernel_w_ *
+                conv_param->output_channel_ / conv_param->group_;
+
+  SetWorkspaceSize(ws_size * sizeof(float));
+
+  return RET_OK;
+}
+
+int DeConvolutionGradFilterCPUKernel::ReSize() { return RET_OK; }
+
+int DeConvolutionGradFilterCPUKernel::Execute(int task_id) {
+  auto conv_param = reinterpret_cast<ConvParameter *>(op_parameter_);
+  auto *input_dy = in_tensors_.at(0);
+  auto *input_x = in_tensors_.at(1);
+  auto *out_dw = out_tensors_.at(0);
+
+  auto x_addr = reinterpret_cast<float *>(input_x->MutableData());
+  auto dy_addr = reinterpret_cast<float *>(input_dy->MutableData());
+  auto dw_addr = reinterpret_cast<float *>(out_dw->MutableData());
+
+  int i, j;
+  int in_ch = conv_param->input_channel_;
+  int in_h = conv_param->input_h_;
+  int in_w = conv_param->input_w_;
+  int k_h = conv_param->kernel_h_;
+  int k_w = conv_param->kernel_w_;
+  int batch = conv_param->output_batch_;
+  int out_ch = conv_param->output_channel_;
+  int groups = conv_param->group_;
+  int out_h = conv_param->output_h_;
+  int out_w = conv_param->output_w_;
+
+  int m = in_ch / groups;
+  int n = k_h * k_w * out_ch / groups;
+  int k = in_h * in_w;
+
+  float *workspace = reinterpret_cast<float *>(GetWorkspace());
+  // zero out pointer
+  memset(dw_addr, 0, out_dw->Size());
+  for (i = 0; i < batch; ++i) {
+    for (j = 0; j < groups; ++j) {
+      float *mat_a = x_addr + (i * (in_ch * in_h * in_w) + j * (in_ch / groups));
+      float *mat_b = workspace;
+      float *mat_c = dw_addr + j * m;
+      float *im = dy_addr + (i * (out_h * out_w * out_ch) + j * (out_ch / groups));
+      im2row_hwc(im, mat_b, conv_param, true);
+      gemm(0, 0, n, m, k, 1, mat_b, k, mat_a, in_ch, 1, mat_c, in_ch);
+    }
+  }
+  return RET_OK;
+}
+
+int DeConvolutionGradFilterRun(void *cdata, int task_id) {
+  auto convfilter_kernel = reinterpret_cast<DeConvolutionGradFilterCPUKernel *>(cdata);
+  auto error_code = convfilter_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "DeConvolutionGradFilterRun error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int DeConvolutionGradFilterCPUKernel::Run() {
+  auto prepare_ret = Prepare();
+  if (prepare_ret != RET_OK) {
+    MS_LOG(ERROR) << "Prepare fail!ret: " << prepare_ret;
+    return prepare_ret;
+  }
+
+  int error_code = ParallelLaunch(this->context_->thread_pool_, DeConvolutionGradFilterRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "conv filter function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+kernel::LiteKernel *CpuDeConvGradFilterFp32KernelCreator(const std::vector<lite::Tensor *> &inputs,
+                                                         const std::vector<lite::Tensor *> &outputs,
+                                                         OpParameter *opParameter, const lite::InnerContext *ctx,
+                                                         const kernel::KernelKey &desc,
+                                                         const mindspore::lite::PrimitiveC *primitive) {
+  MS_ASSERT(opParameter != nullptr);
+  MS_ASSERT(desc.type == schema::PrimitiveType_DeConv2DGradFilter);
+
+  auto *kernel = new (std::nothrow) DeConvolutionGradFilterCPUKernel(opParameter, inputs, outputs, ctx, primitive);
+  if (kernel == nullptr) {
+    MS_LOG(ERROR) << "new kernel fail!";
+    return nullptr;
+  }
+
+  auto ret = kernel->Init();
+  if (RET_OK != ret) {
+    MS_LOG(ERROR) << "Init kernel failed, name: " << opParameter->name_ << ", type: "
+                  << schema::EnumNamePrimitiveType(static_cast<schema::PrimitiveType>(opParameter->type_));
+    delete kernel;
+    return nullptr;
+  }
+  return kernel;
+}
+
+REG_KERNEL(kCPU, kNumberTypeFloat32, PrimitiveType_DeConv2DGradFilter, CpuDeConvGradFilterFp32KernelCreator)
+}  // namespace mindspore::kernel
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/deconvolution_grad_filter.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/deconvolution_grad_filter.h
new file mode 100644
index 0000000000..0737cb1009
--- /dev/null
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/deconvolution_grad_filter.h
@@ -0,0 +1,40 @@
+/**
+ * Copyright 2019 Huawei Technologies Co., Ltd
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef MINDSPORE_LITE_SRC_RUNTIME_KERNEL_ARM_FP32_GRAD_DECONVOLUTION_GRAD_FILTER_H_
+#define MINDSPORE_LITE_SRC_RUNTIME_KERNEL_ARM_FP32_GRAD_DECONVOLUTION_GRAD_FILTER_H_
+
+#include <vector>
+#include "src/lite_kernel.h"
+
+namespace mindspore::kernel {
+class DeConvolutionGradFilterCPUKernel : public LiteKernel {
+ public:
+  explicit DeConvolutionGradFilterCPUKernel(OpParameter *parameter, const std::vector<lite::Tensor *> &inputs,
+                                            const std::vector<lite::Tensor *> &outputs, const lite::InnerContext *ctx,
+                                            const mindspore::lite::PrimitiveC *primitive)
+      : LiteKernel(parameter, inputs, outputs, ctx, primitive) {}
+  ~DeConvolutionGradFilterCPUKernel() override {}
+
+  int Init() override;
+  int ReSize() override;
+  int Run() override;
+  int Execute(int task_id);
+};
+
+}  // namespace mindspore::kernel
+
+#endif  // MINDSPORE_LITE_SRC_RUNTIME_KERNEL_ARM_FP32_GRAD_DECONVOLUTION_GRAD_FILTER_H_
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/make_tuple.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/make_tuple.h
index dbc62434aa..26ca5156b8 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/make_tuple.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/make_tuple.h
@@ -36,6 +36,7 @@ class MakeTupleCPUKernel : public LiteKernel {
   int Init() override;
   int ReSize() override;
   int Run() override;
+  int DoActivation(int task_id);
 
  private:
   OpParameter *param;
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/pooling_grad.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/pooling_grad.cc
index 6be058706e..b5a3dd7758 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/pooling_grad.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/pooling_grad.cc
@@ -20,6 +20,8 @@
 #include "nnacl/fp32/pooling.h"
 #include "nnacl/fp32_grad/pooling_grad.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
+// #include "src/train/ops/train_ops.h"
 
 using mindspore::kernel::KERNEL_ARCH::kCPU;
 using mindspore::lite::KernelRegistrar;
@@ -60,12 +62,7 @@ int PoolingGradCPUKernel::Init() {
 
 int PoolingGradCPUKernel::ReSize() { return RET_OK; }
 
-int PoolingGradCPUKernel::Run() {
-  auto prepare_ret = Prepare();
-  if (prepare_ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare fail!ret: " << prepare_ret;
-    return prepare_ret;
-  }
+int PoolingGradCPUKernel::Execute(int task_id) {
   PoolingParameter *pool_param = reinterpret_cast<PoolingParameter *>(op_parameter_);
   auto input_ptr = reinterpret_cast<float *>(in_tensors_.at(0)->MutableData());
   auto output_ptr = reinterpret_cast<float *>(out_tensors_.at(0)->MutableData());
@@ -73,9 +70,41 @@ int PoolingGradCPUKernel::Run() {
   if (pool_param->pool_mode_ == PoolMode_MaxPool) {
     auto dx_ptr = reinterpret_cast<float *>(in_tensors_.at(1)->MutableData());
     auto dy_ptr = reinterpret_cast<float *>(in_tensors_.at(2)->MutableData());
-    MaxPoolingGrad(input_ptr, dx_ptr, dy_ptr, output_ptr, pool_param);
+    MaxPoolingGrad(input_ptr, dx_ptr, dy_ptr, output_ptr, pool_param, task_id);
   } else {
-    AvgPoolingGrad(input_ptr, output_ptr, pool_param);
+    AvgPoolingGrad(input_ptr, output_ptr, pool_param, task_id);
+  }
+  return RET_OK;
+}
+
+int PoolingGradImpl(void *cdata, int task_id) {
+  auto pooling = reinterpret_cast<PoolingGradCPUKernel *>(cdata);
+  auto error_code = pooling->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "Pooling Run error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int PoolingGradCPUKernel::Run() {
+  auto prepare_ret = Prepare();
+  if (prepare_ret != RET_OK) {
+    MS_LOG(ERROR) << "PoolingGradCPUKernel Prepare fail!ret: " << prepare_ret;
+    return prepare_ret;
+  }
+
+  // clear output buffer before parallel run
+  PoolingParameter *pooling_param = reinterpret_cast<PoolingParameter *>(op_parameter_);
+  auto output_ptr = reinterpret_cast<float *>(out_tensors_.at(0)->MutableData());
+  int size =
+    pooling_param->input_w_ * pooling_param->input_h_ * pooling_param->input_channel_ * pooling_param->output_batch_;
+  for (int i = 0; i < size; i++) output_ptr[i] = 0.0;
+
+  int error_code = ParallelLaunch(this->context_->thread_pool_, PoolingGradImpl, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "pooling error error_code[" << error_code << "]";
+    return RET_ERROR;
   }
   return RET_OK;
 }
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/pooling_grad.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/pooling_grad.h
index 190ea68301..43f6ad79ec 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/pooling_grad.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/pooling_grad.h
@@ -37,6 +37,9 @@ class PoolingGradCPUKernel : public LiteKernel {
   int Init() override;
   int ReSize() override;
   int Run() override;
+  int Execute(int task_id);
+
+ private:
 };
 
 }  // namespace mindspore::kernel
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/power_grad.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/power_grad.cc
index 65607c1faf..f49d64c1c0 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/power_grad.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/power_grad.cc
@@ -19,6 +19,7 @@
 #include "src/kernel_registry.h"
 #include "include/errorcode.h"
 #include "nnacl/fp32/arithmetic.h"
+#include "src/runtime/runtime_api.h"
 
 using mindspore::lite::KernelRegistrar;
 using mindspore::lite::RET_ERROR;
@@ -26,11 +27,21 @@ using mindspore::lite::RET_OK;
 using mindspore::schema::PrimitiveType_PowerGrad;
 
 namespace mindspore::kernel {
-int PowerGradCPUKernel::Init() { return RET_OK; }
+int PowerGradCPUKernel::Init() {
+  if (2 != in_tensors_.size()) {
+    MS_LOG(ERROR) << "Power Grad Filter should have 2 inputs";
+    return RET_ERROR;
+  }
+  if (1 != out_tensors_.size()) {
+    MS_LOG(ERROR) << "Power Grad Filter should have one output";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
 
 int PowerGradCPUKernel::ReSize() { return RET_OK; }
 
-int PowerGradCPUKernel::Run() {
+int PowerGradCPUKernel::Execute(int task_id) {
   auto dy_addr = reinterpret_cast<float *>(in_tensors_.at(0)->MutableData());
   auto x_addr = reinterpret_cast<float *>(in_tensors_.at(1)->MutableData());
   auto dx_addr = reinterpret_cast<float *>(out_tensors_.at(0)->MutableData());
@@ -47,6 +58,30 @@ int PowerGradCPUKernel::Run() {
   return RET_OK;
 }
 
+int PowerGradRun(void *cdata, int task_id) {
+  auto power_kernel = reinterpret_cast<PowerGradCPUKernel *>(cdata);
+  auto error_code = power_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "power grad error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int PowerGradCPUKernel::Run() {
+  auto ret = Prepare();
+  if (ret != RET_OK) {
+    MS_LOG(ERROR) << "PowerGradCPUKernel Prepare failed.";
+    return RET_ERROR;
+  }
+  int error_code = ParallelLaunch(this->context_->thread_pool_, PowerGradRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "power grad function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
 kernel::LiteKernel *CpuPowerGradFp32KernelCreator(const std::vector<lite::Tensor *> &inputs,
                                                   const std::vector<lite::Tensor *> &outputs, OpParameter *opParameter,
                                                   const lite::InnerContext *ctx, const kernel::KernelKey &desc,
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/power_grad.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/power_grad.h
index 6c1645d31d..8b1702c53a 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/power_grad.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/power_grad.h
@@ -38,6 +38,7 @@ class PowerGradCPUKernel : public LiteKernel {
   int Init() override;
   int ReSize() override;
   int Run() override;
+  int Execute(int task_id);
 
  private:
   float power_;
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sgd.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sgd.cc
new file mode 100644
index 0000000000..d3af29dc56
--- /dev/null
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sgd.cc
@@ -0,0 +1,121 @@
+
+/**
+ * Copyright 2020 Huawei Technologies Co., Ltd
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "src/runtime/kernel/arm/fp32_grad/sgd.h"
+#include "schema/model_generated.h"
+#include "src/kernel_registry.h"
+#include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
+#include "src/runtime/kernel/arm/fp32/nchw2nhwc.h"
+
+using mindspore::kernel::KERNEL_ARCH::kCPU;
+using mindspore::lite::KernelRegistrar;
+using mindspore::lite::RET_ERROR;
+using mindspore::lite::RET_OK;
+using mindspore::schema::PrimitiveType_Sgd;
+
+namespace mindspore::kernel {
+
+int SgdCPUKernel::ReSize() { return RET_OK; }
+
+int SgdCPUKernel::Execute(int task_id) {
+  auto weight = reinterpret_cast<float *>(in_tensors_[0]->MutableData());
+  auto accumulate = reinterpret_cast<float *>(in_tensors_[3]->MutableData());
+  float learning_rate = reinterpret_cast<float *>(in_tensors_[2]->MutableData())[0];
+  auto gradient = reinterpret_cast<float *>(in_tensors_[1]->MutableData());
+  float moment = reinterpret_cast<float *>(in_tensors_[4]->MutableData())[0];
+  size_t elem_num = in_tensors_[0]->ElementsNum();
+
+  if (sgd_param_->use_nesterov_) {
+    for (size_t i = 0; i < elem_num; ++i) {
+      accumulate[i] = accumulate[i] * moment + gradient[i];
+      weight[i] -= (accumulate[i] * moment + gradient[i]) * learning_rate;
+    }
+  } else {
+    for (size_t i = 0; i < elem_num; ++i) {
+      accumulate[i] = accumulate[i] * moment + gradient[i] * (1.f - sgd_param_->dampening_);
+      weight[i] -= accumulate[i] * learning_rate;
+    }
+  }
+  return RET_OK;
+}
+
+int SgdRun(void *cdata, int task_id) {
+  auto Sgd_kernel = reinterpret_cast<SgdCPUKernel *>(cdata);
+  auto error_code = Sgd_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "SGD run error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int SgdCPUKernel::Run() {
+  auto prepare_ret = Prepare();
+  if (prepare_ret != RET_OK) {
+    MS_LOG(ERROR) << "SgdCPUKernel Prepare fail!ret: " << prepare_ret;
+    return prepare_ret;
+  }
+
+  int error_code = ParallelLaunch(this->context_->thread_pool_, SgdRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "SGD function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int SgdCPUKernel::Init() {
+  // Only for test with uninitialized Data
+  size_t elem_num = in_tensors_[0]->ElementsNum();
+  auto accumulate = reinterpret_cast<float *>(in_tensors_[3]->MutableData());
+  for (size_t i = 0; i < elem_num; i++) accumulate[i] = 0.0;
+
+  if (sgd_param_->dampening_ < 0.0f) {
+    MS_LOG(ERROR) << "dampening should be at least 0.0";
+    return RET_ERROR;
+  }
+
+  if (sgd_param_->use_nesterov_ && sgd_param_->dampening_ > 0.0f) {
+    MS_LOG(ERROR) << "If use nesterov, dampening must equal to 0.0";
+    return RET_ERROR;
+  }
+
+  return RET_OK;
+}
+
+kernel::LiteKernel *CpuSgdFp32KernelCreator(const std::vector<lite::Tensor *> &inputs,
+                                            const std::vector<lite::Tensor *> &outputs, OpParameter *opParameter,
+                                            const lite::InnerContext *ctx, const kernel::KernelKey &desc,
+                                            const lite::PrimitiveC *primitive) {
+  MS_ASSERT(desc.type == schema::PrimitiveType_Sgd);
+  auto *kernel = new (std::nothrow) SgdCPUKernel(opParameter, inputs, outputs, ctx, primitive);
+  MS_ASSERT(kernel != nullptr);
+
+  auto ret = kernel->Init();
+  if (0 != ret) {
+    MS_LOG(ERROR) << "Init kernel failed, name: " << opParameter->name_ << ", type: "
+                  << schema::EnumNamePrimitiveType(static_cast<schema::PrimitiveType>(opParameter->type_));
+    delete kernel;
+    return nullptr;
+  }
+
+  return kernel;
+}
+
+REG_KERNEL(kCPU, kNumberTypeFloat32, PrimitiveType_Sgd, CpuSgdFp32KernelCreator)
+}  // namespace mindspore::kernel
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sgd.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sgd.h
new file mode 100644
index 0000000000..355d0ed1e2
--- /dev/null
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sgd.h
@@ -0,0 +1,44 @@
+/**
+ * Copyright 2020 Huawei Technologies Co., Ltd
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef MINDSPORE_LITE_SRC_RUNTIME_KERNEL_ARM_FP32_GRAD_SGD_H_
+#define MINDSPORE_LITE_SRC_RUNTIME_KERNEL_ARM_FP32_GRAD_SGD_H_
+
+#include <vector>
+#include "src/lite_kernel.h"
+#include "nnacl/fp32_grad/optimizer.h"
+
+namespace mindspore::kernel {
+class SgdCPUKernel : public LiteKernel {
+ public:
+  explicit SgdCPUKernel(OpParameter *parameter, const std::vector<lite::Tensor *> &inputs,
+                        const std::vector<lite::Tensor *> &outputs, const lite::InnerContext *ctx,
+                        const mindspore::lite::PrimitiveC *primitive)
+      : LiteKernel(parameter, inputs, outputs, ctx, primitive), sgd_param_(nullptr) {
+    sgd_param_ = reinterpret_cast<SgdParameter *>(parameter);
+  }
+  ~SgdCPUKernel() override {}
+  int Init() override;
+  int ReSize() override;
+  int Run() override;
+  int Execute(int task_id);
+
+ private:
+  SgdParameter *sgd_param_;
+};
+}  // namespace mindspore::kernel
+
+#endif  // MINDSPORE_LITE_SRC_RUNTIME_KERNEL_ARM_FP32_GRAD_SGD_H_
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_cross_entropy_with_logits.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_cross_entropy_with_logits.cc
index 82151f60ac..494b322f60 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_cross_entropy_with_logits.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_cross_entropy_with_logits.cc
@@ -20,6 +20,7 @@
 #include "nnacl/fp32/softmax.h"
 #include "src/runtime/kernel/arm/fp32_grad/softmax_cross_entropy_with_logits.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
 
 using mindspore::lite::KernelRegistrar;
 using mindspore::lite::RET_ERROR;
@@ -56,13 +57,8 @@ void SoftmaxCrossEntropyWithLogitsCPUKernel::ForwardPostExecute(const float *lab
   }
   output2[0] = total_loss / param_->batch_size_;
 }
-int SoftmaxCrossEntropyWithLogitsCPUKernel::Run() {
-  auto ret = Prepare();
-  if (ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare failed.";
-    return ret;
-  }
 
+int SoftmaxCrossEntropyWithLogitsCPUKernel::Execute(int task_id) {
   auto ins = reinterpret_cast<float *>(in_tensors_.at(0)->MutableData());
   auto labels = reinterpret_cast<float *>(in_tensors_.at(1)->MutableData());
   float *out = reinterpret_cast<float *>(out_tensors_.at(0)->MutableData());
@@ -75,6 +71,8 @@ int SoftmaxCrossEntropyWithLogitsCPUKernel::Run() {
   MS_ASSERT(out != nullptr);
   MS_ASSERT(labels != nullptr);
   MS_ASSERT(ins != nullptr);
+  float *losses_ = static_cast<float *>(GetWorkspace());
+  float *sum_data_ = losses_ + data_size;
   std::fill(losses_, losses_ + data_size, 0);
   std::fill(sum_data_, sum_data_ + sm_params_.input_shape_[0], 0);
   Softmax(ins, losses_, sum_data_, &sm_params_);
@@ -82,6 +80,31 @@ int SoftmaxCrossEntropyWithLogitsCPUKernel::Run() {
   return RET_OK;
 }
 
+int SoftmaxCrossEntropyWithLogitsRun(void *cdata, int task_id) {
+  auto softmax_kernel = reinterpret_cast<SoftmaxCrossEntropyWithLogitsCPUKernel *>(cdata);
+  auto error_code = softmax_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "SoftmaxCrossEntropy error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int SoftmaxCrossEntropyWithLogitsCPUKernel::Run() {
+  auto ret = Prepare();
+  if (ret != RET_OK) {
+    MS_LOG(ERROR) << "SoftmaxCrossEntropyWithLogitsCPUKernel Prepare failed.";
+    return ret;
+  }
+
+  int error_code = ParallelLaunch(this->context_->thread_pool_, SoftmaxCrossEntropyWithLogitsRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "SoftmaxCrossEntropy function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
 int SoftmaxCrossEntropyWithLogitsCPUKernel::Init() {
   auto dims = in_tensors_[0]->shape();
   param_->n_dim_ = 2;
@@ -99,18 +122,7 @@ int SoftmaxCrossEntropyWithLogitsCPUKernel::Init() {
   }
 
   size_t data_size = in_tensors_.at(0)->ElementsNum();
-  losses_ = new (std::nothrow) float[data_size];
-  if (losses_ == nullptr) {
-    MS_LOG(ERROR) << "failed to malloc losses!";
-    return RET_ERROR;
-  }
-
-  sum_data_ = new (std::nothrow) float[dims[0]];
-  if (sum_data_ == nullptr) {
-    MS_LOG(ERROR) << "failed to malloc sum_data_!";
-    return RET_ERROR;
-  }
-
+  SetWorkspaceSize((data_size + dims[0]) * sizeof(float));
   sm_params_.n_dim_ = 2;
   sm_params_.element_size_ = data_size;
   sm_params_.axis_ = 1;
@@ -138,5 +150,4 @@ kernel::LiteKernel *CpuSoftmaxCrossEntropyFp32KernelCreator(const std::vector<li
   }
   return kernel;
 }
-// REG_KERNEL(kCPU, kNumberTypeFloat32, PrimitiveType_SoftmaxCrossEntropy, CpuSoftmaxCrossEntropyFp32KernelCreator)
 }  // namespace mindspore::kernel
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_cross_entropy_with_logits.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_cross_entropy_with_logits.h
index 2968bdf8e9..53180618e8 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_cross_entropy_with_logits.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_cross_entropy_with_logits.h
@@ -31,27 +31,21 @@ class SoftmaxCrossEntropyWithLogitsCPUKernel : public LossKernel {
                                                   const std::vector<lite::Tensor *> &outputs,
                                                   const lite::InnerContext *ctx,
                                                   const mindspore::lite::PrimitiveC *primitive)
-      : LossKernel(parameter, inputs, outputs, ctx, primitive), losses_(nullptr), sum_data_(nullptr) {
+      : LossKernel(parameter, inputs, outputs, ctx, primitive) {
     param_ = reinterpret_cast<SoftmaxCrossEntropyParameter *>(parameter);
   }
-  ~SoftmaxCrossEntropyWithLogitsCPUKernel() override {
-    if (losses_) delete[] losses_;
-    if (sum_data_) delete[] sum_data_;
-  }
+  ~SoftmaxCrossEntropyWithLogitsCPUKernel() override {}
 
   void ForwardPostExecute(const float *labels, const float *logits, float *output1, float *output2) const;
-  // void ForwardPostExecute(const int *labels, const float *losses, float *output) const;
-  // void GradPostExecute(const int *labels, const float *losses, float* grads, float *output) const;
 
   int Init() override;
   int ReSize() override;
   int Run() override;
+  int Execute(int task_id);
 
  private:
   SoftmaxCrossEntropyParameter *param_;
   SoftmaxParameter sm_params_;
-  float *losses_ = nullptr;
-  float *sum_data_ = nullptr;
 };
 
 }  // namespace mindspore::kernel
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_grad.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_grad.cc
index cc6732ff49..209ac702c7 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_grad.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_grad.cc
@@ -20,6 +20,7 @@
 #include "nnacl/fp32_grad/softmax_grad.h"
 #include "schema/model_generated.h"
 #include "src/kernel_registry.h"
+#include "src/runtime/runtime_api.h"
 #include "include/errorcode.h"
 
 using mindspore::lite::KernelRegistrar;
@@ -46,33 +47,49 @@ int SoftmaxGradCPUKernel::Init() {
     axis = param->axis_ = (in_dims - 1);
   }
 
-  int inner_size = 1;
+  inner_size_ = 1;
   for (size_t i = axis + 1; i < in_dims; i++) {
-    inner_size *= in_shape[i];
+    inner_size_ *= in_shape[i];
   }
-
-  sum_data_ = new (std::nothrow) float[inner_size];
-  if (sum_data_ == nullptr) {
-    MS_LOG(ERROR) << "failed to malloc sum_data_!";
-    return RET_ERROR;
-  }
-
-  sum_mul_ = new (std::nothrow) float[inner_size * in_shape[axis]];
-  if (sum_mul_ == nullptr) {
-    MS_LOG(ERROR) << "failed to malloc sum_mul_!";
-    return RET_ERROR;
-  }
-
+  SetWorkspaceSize(inner_size_ * (1 + in_shape[axis]) * sizeof(float));
   return RET_OK;
 }
 
 int SoftmaxGradCPUKernel::ReSize() { return RET_OK; }
 
-int SoftmaxGradCPUKernel::Run() {
+int SoftmaxGradCPUKernel::Execute(int task_id) {
   auto input_ptr = reinterpret_cast<float *>(in_tensors_.at(kInputIndex)->MutableData());
   auto yt_ptr = reinterpret_cast<float *>(in_tensors_.at(1)->MutableData());
   auto output_ptr = reinterpret_cast<float *>(out_tensors_.at(kOutputIndex)->MutableData());
+  float *sum_data_ = static_cast<float *>(GetWorkspace());
+  float *sum_mul_ = sum_data_ + inner_size_;
   SoftmaxGrad(input_ptr, yt_ptr, output_ptr, sum_data_, sum_mul_, reinterpret_cast<SoftmaxParameter *>(op_parameter_));
+
+  return RET_OK;
+}
+
+int SoftmaxGradRun(void *cdata, int task_id) {
+  auto softmax_kernel = reinterpret_cast<SoftmaxGradCPUKernel *>(cdata);
+  auto error_code = softmax_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "softmax_kernel SoftmaxGradRun task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int SoftmaxGradCPUKernel::Run() {
+  auto ret = Prepare();
+  if (ret != RET_OK) {
+    MS_LOG(ERROR) << "SoftmaxGradCPUKernel Prepare failed.";
+    return ret;
+  }
+
+  int error_code = ParallelLaunch(this->context_->thread_pool_, SoftmaxGradRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "SoftmaxGradRun function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
   return RET_OK;
 }
 
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_grad.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_grad.h
index fda77469a3..f654d6a46f 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_grad.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_grad.h
@@ -27,21 +27,18 @@ class SoftmaxGradCPUKernel : public LiteKernel {
   explicit SoftmaxGradCPUKernel(OpParameter *parameter, const std::vector<lite::Tensor *> &inputs,
                                 const std::vector<lite::Tensor *> &outputs, const lite::InnerContext *ctx,
                                 const lite::PrimitiveC *primitive)
-      : LiteKernel(parameter, inputs, outputs, ctx, primitive), sum_data_(nullptr), sum_mul_(nullptr) {
+      : LiteKernel(parameter, inputs, outputs, ctx, primitive) {
     param = reinterpret_cast<SoftmaxParameter *>(parameter);
   }
-  ~SoftmaxGradCPUKernel() override {
-    if (sum_data_) delete[] sum_data_;
-    if (sum_mul_) delete[] sum_mul_;
-  }
+  ~SoftmaxGradCPUKernel() override {}
   int Init() override;
   int ReSize() override;
   int Run() override;
+  int Execute(int task_id);
 
  private:
   SoftmaxParameter *param;
-  float *sum_data_ = nullptr;
-  float *sum_mul_ = nullptr;
+  size_t inner_size_;
 };
 
 }  // namespace mindspore::kernel
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sparse_softmax_cross_entropy_with_logits.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sparse_softmax_cross_entropy_with_logits.cc
index e10edbf6e1..77397fa1b7 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sparse_softmax_cross_entropy_with_logits.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sparse_softmax_cross_entropy_with_logits.cc
@@ -20,6 +20,7 @@
 #include "nnacl/fp32/softmax.h"
 #include "src/runtime/kernel/arm/fp32_grad/sparse_softmax_cross_entropy_with_logits.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
 
 using mindspore::lite::KernelRegistrar;
 using mindspore::lite::RET_ERROR;
@@ -80,13 +81,7 @@ int SparseSoftmaxCrossEntropyWithLogitsCPUKernel::GradPostExecute(const int *lab
   return RET_OK;
 }
 
-int SparseSoftmaxCrossEntropyWithLogitsCPUKernel::Run() {
-  auto ret = Prepare();
-  if (ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare failed.";
-    return ret;
-  }
-
+int SparseSoftmaxCrossEntropyWithLogitsCPUKernel::Execute(int task_id) {
   auto ins = reinterpret_cast<float *>(in_tensors_.at(0)->MutableData());
   auto labels = reinterpret_cast<int *>(in_tensors_.at(1)->MutableData());
   float *out = reinterpret_cast<float *>(out_tensors_.at(0)->MutableData());
@@ -98,8 +93,11 @@ int SparseSoftmaxCrossEntropyWithLogitsCPUKernel::Run() {
   MS_ASSERT(out != nullptr);
   MS_ASSERT(labels != nullptr);
   MS_ASSERT(ins != nullptr);
-  std::fill(losses_, losses_ + data_size, 0);
-  std::fill(sum_data_, sum_data_ + sm_params_.input_shape_[0], 0);
+
+  float *losses_ = static_cast<float *>(GetWorkspace());
+  float *sum_data_ = losses_ + data_size;
+  std::fill(losses_, losses_ + data_size, 0.f);
+  std::fill(sum_data_, sum_data_ + sm_params_.input_shape_[0], 0.f);
   Softmax(ins, losses_, sum_data_, &sm_params_);
   if (is_train()) {
     GradPostExecute(labels, losses_, grads, out);
@@ -109,6 +107,30 @@ int SparseSoftmaxCrossEntropyWithLogitsCPUKernel::Run() {
   return RET_OK;
 }
 
+int SparseSoftmaxCrossEntropyRun(void *cdata, int task_id) {
+  auto sparse_kernel = reinterpret_cast<SparseSoftmaxCrossEntropyWithLogitsCPUKernel *>(cdata);
+  auto error_code = sparse_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "SparseSoftmaxCrossEntropyRun error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int SparseSoftmaxCrossEntropyWithLogitsCPUKernel::Run() {
+  auto ret = Prepare();
+  if (ret != RET_OK) {
+    MS_LOG(ERROR) << "SparseSoftmaxCrossEntropyWithLogitsCPUKernel Prepare failed.";
+    return ret;
+  }
+  int error_code = ParallelLaunch(this->context_->thread_pool_, SparseSoftmaxCrossEntropyRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "SparseSoftmaxCrossEntropy function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
 int SparseSoftmaxCrossEntropyWithLogitsCPUKernel::Init() {
   auto dims = in_tensors_[0]->shape();
   param->n_dim_ = 2;
@@ -125,18 +147,7 @@ int SparseSoftmaxCrossEntropyWithLogitsCPUKernel::Init() {
     return RET_ERROR;
   }
   size_t data_size = in_tensors_.at(0)->ElementsNum();
-  losses_ = new (std::nothrow) float[data_size];
-  if (losses_ == nullptr) {
-    MS_LOG(ERROR) << "failed to malloc losses!";
-    return RET_ERROR;
-  }
-
-  sum_data_ = new (std::nothrow) float[dims[0]];
-  if (sum_data_ == nullptr) {
-    MS_LOG(ERROR) << "failed to malloc sum_data_!";
-    return RET_ERROR;
-  }
-
+  SetWorkspaceSize((data_size + dims[0]) * sizeof(float));
   sm_params_.n_dim_ = 2;
   sm_params_.element_size_ = data_size;
   sm_params_.axis_ = 1;
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sparse_softmax_cross_entropy_with_logits.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sparse_softmax_cross_entropy_with_logits.h
index e876ef7377..13e2d0f21c 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sparse_softmax_cross_entropy_with_logits.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/sparse_softmax_cross_entropy_with_logits.h
@@ -32,13 +32,10 @@ class SparseSoftmaxCrossEntropyWithLogitsCPUKernel : public LossKernel {
                                                         const std::vector<lite::Tensor *> &outputs,
                                                         const lite::InnerContext *ctx,
                                                         const mindspore::lite::PrimitiveC *primitive)
-      : LossKernel(parameter, inputs, outputs, ctx, primitive), losses_(nullptr), sum_data_(nullptr) {
+      : LossKernel(parameter, inputs, outputs, ctx, primitive) {
     param = reinterpret_cast<SoftmaxCrossEntropyParameter *>(parameter);
   }
-  ~SparseSoftmaxCrossEntropyWithLogitsCPUKernel() override {
-    if (losses_) delete[] losses_;
-    if (sum_data_) delete[] sum_data_;
-  }
+  ~SparseSoftmaxCrossEntropyWithLogitsCPUKernel() override {}
 
   int ForwardPostExecute(const int *labels, const float *losses, float *output) const;
   int GradPostExecute(const int *labels, const float *losses, float *grads, float *output) const;
@@ -46,12 +43,11 @@ class SparseSoftmaxCrossEntropyWithLogitsCPUKernel : public LossKernel {
   int Init() override;
   int ReSize() override;
   int Run() override;
+  int Execute(int task_id);
 
  private:
   SoftmaxCrossEntropyParameter *param;
   SoftmaxParameter sm_params_;
-  float *losses_ = nullptr;
-  float *sum_data_ = nullptr;
 };
 
 }  // namespace mindspore::kernel
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/tuple_getitem.cc b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/tuple_getitem.cc
index a47a8a6ee3..e1523c8694 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/tuple_getitem.cc
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/tuple_getitem.cc
@@ -19,6 +19,7 @@
 #include "schema/model_generated.h"
 #include "src/kernel_registry.h"
 #include "include/errorcode.h"
+#include "src/runtime/runtime_api.h"
 
 using mindspore::kernel::KERNEL_ARCH::kCPU;
 using mindspore::lite::KernelRegistrar;
@@ -28,16 +29,21 @@ using mindspore::schema::PrimitiveType_TupleGetItem;
 
 namespace mindspore::kernel {
 
-int TupleGetItemCPUKernel::Init() { return RET_OK; }
-
-int TupleGetItemCPUKernel::ReSize() { return 0; }
-
-int TupleGetItemCPUKernel::Run() {
-  auto ret = Prepare();
-  if (ret != RET_OK) {
-    MS_LOG(ERROR) << "Prepare failed.";
+int TupleGetItemCPUKernel::Init() {
+  if (1 != in_tensors_.size()) {
+    MS_LOG(ERROR) << "Tuple Grad Filter should have one input";
+    return RET_ERROR;
+  }
+  if (1 != out_tensors_.size()) {
+    MS_LOG(ERROR) << "Tuple Grad Filter should have one output";
     return RET_ERROR;
   }
+  return RET_OK;
+}
+
+int TupleGetItemCPUKernel::ReSize() { return RET_OK; }
+
+int TupleGetItemCPUKernel::Execute(int task_id) {
   auto in = reinterpret_cast<float *>(in_tensors_.at(0)->MutableData());
   auto out = reinterpret_cast<float *>(out_tensors_.at(0)->MutableData());
 
@@ -46,6 +52,30 @@ int TupleGetItemCPUKernel::Run() {
   return RET_OK;
 }
 
+int TupleRun(void *cdata, int task_id) {
+  auto tuple_kernel = reinterpret_cast<TupleGetItemCPUKernel *>(cdata);
+  auto error_code = tuple_kernel->Execute(task_id);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "tuple grad error task_id[" << task_id << "] error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
+int TupleGetItemCPUKernel::Run() {
+  auto ret = Prepare();
+  if (ret != RET_OK) {
+    MS_LOG(ERROR) << "TupleGetItemCPUKernel Prepare failed.";
+    return RET_ERROR;
+  }
+  int error_code = ParallelLaunch(this->context_->thread_pool_, TupleRun, this, 1);
+  if (error_code != RET_OK) {
+    MS_LOG(ERROR) << "tuple function error error_code[" << error_code << "]";
+    return RET_ERROR;
+  }
+  return RET_OK;
+}
+
 kernel::LiteKernel *CpuTupleGetItemFp32KernelCreator(const std::vector<lite::Tensor *> &inputs,
                                                      const std::vector<lite::Tensor *> &outputs,
                                                      OpParameter *opParameter, const lite::InnerContext *ctx,
diff --git a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/tuple_getitem.h b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/tuple_getitem.h
index 3881f7e5ff..b23533bd24 100644
--- a/mindspore/lite/src/runtime/kernel/arm/fp32_grad/tuple_getitem.h
+++ b/mindspore/lite/src/runtime/kernel/arm/fp32_grad/tuple_getitem.h
@@ -35,6 +35,7 @@ class TupleGetItemCPUKernel : public LiteKernel {
   int Init() override;
   int ReSize() override;
   int Run() override;
+  int Execute(int task_id);
 
  private:
   OpParameter *param;
diff --git a/mindspore/lite/src/train/train_populate_parameter.cc b/mindspore/lite/src/train/train_populate_parameter.cc
index 2ebe49d9a0..b2f8e318f3 100644
--- a/mindspore/lite/src/train/train_populate_parameter.cc
+++ b/mindspore/lite/src/train/train_populate_parameter.cc
@@ -29,6 +29,11 @@
 #include "nnacl/power_parameter.h"
 #include "src/ops/bias_grad.h"
 #include "nnacl/arithmetic_common.h"
+#include "nnacl/fp32_grad/optimizer.h"
+#include "src/ops/apply_momentum.h"
+#include "src/ops/sgd.h"
+#include "src/ops/bn_grad.h"
+#include "nnacl/fp32_grad/batch_norm.h"
 
 namespace mindspore::kernel {
 
@@ -48,6 +53,49 @@ OpParameter *DefaultPopulateParameter(const mindspore::lite::PrimitiveC *primiti
   return param;
 }
 
+OpParameter *PopulateApplyMomentumParameter(const mindspore::lite::PrimitiveC *primitive) {
+  if (primitive == nullptr) {
+    MS_LOG(ERROR) << "Primitive is nullptr when populating parameter for op.";
+    return nullptr;
+  }
+  ApplyMomentumParameter *p = reinterpret_cast<ApplyMomentumParameter *>(malloc(sizeof(ApplyMomentumParameter)));
+  if (p == nullptr) {
+    MS_LOG(ERROR) << "new ApplyMomentumParameter failed.";
+    return nullptr;
+  }
+  p->op_parameter_.type_ = primitive->Type();
+
+  auto apply_momentum_primitive =
+    reinterpret_cast<mindspore::lite::ApplyMomentum *>(const_cast<mindspore::lite::PrimitiveC *>(primitive));
+
+  p->grad_scale_ = apply_momentum_primitive->GetGradientScale();
+  p->use_locking_ = apply_momentum_primitive->GetUseLocking();
+  p->use_nesterov_ = apply_momentum_primitive->GetUseNesterov();
+
+  return reinterpret_cast<OpParameter *>(p);
+}
+
+OpParameter *PopulateSgdParameter(const mindspore::lite::PrimitiveC *primitive) {
+  if (primitive == nullptr) {
+    MS_LOG(ERROR) << "Primitive is nullptr when populating parameter for op.";
+    return nullptr;
+  }
+  SgdParameter *p = reinterpret_cast<SgdParameter *>(malloc(sizeof(SgdParameter)));
+  if (p == nullptr) {
+    MS_LOG(ERROR) << "new SgdParameter failed.";
+    return nullptr;
+  }
+  p->op_parameter_.type_ = primitive->Type();
+
+  auto sgd_primitive = reinterpret_cast<mindspore::lite::Sgd *>(const_cast<mindspore::lite::PrimitiveC *>(primitive));
+
+  p->weight_decay_ = sgd_primitive->GetWeightDecay();
+  p->dampening_ = sgd_primitive->GetDampening();
+  p->use_nesterov_ = sgd_primitive->GetUseNesterov();
+
+  return reinterpret_cast<OpParameter *>(p);
+}
+
 OpParameter *PopulateSoftmaxCrossEntropyParameter(const mindspore::lite::PrimitiveC *primitive) {
   if (primitive == nullptr) {
     MS_LOG(ERROR) << "Primitive is nullptr when populating parameter for op.";
@@ -250,9 +298,27 @@ OpParameter *PopulateBiasGradParameter(const mindspore::lite::PrimitiveC *primit
   return reinterpret_cast<OpParameter *>(arithmetic_param);
 }
 
+OpParameter *PopulateBNGradParameter(const mindspore::lite::PrimitiveC *primitive) {
+  if (primitive == nullptr) {
+    MS_LOG(ERROR) << "Primitive is nullptr when populating parameter for op.";
+    return nullptr;
+  }
+
+  BNGradParameter *bnGrad_param = reinterpret_cast<BNGradParameter *>(malloc(sizeof(BNGradParameter)));
+  if (bnGrad_param == nullptr) {
+    MS_LOG(ERROR) << "new BNGradParameter failed.";
+    return nullptr;
+  }
+  bnGrad_param->op_parameter_.type_ = primitive->Type();
+  auto bngrad = reinterpret_cast<mindspore::lite::BNGrad *>(const_cast<mindspore::lite::PrimitiveC *>(primitive));
+  bnGrad_param->epsilon_ = bngrad->GetEps();
+  bnGrad_param->momentum_ = 0.1;
+  return reinterpret_cast<OpParameter *>(bnGrad_param);
+}
+
 void PopulateTrainParameters() {
   auto ppr = PopulateParameterRegistry::GetInstance();
-  ppr->AddPopulateParameterFunc(schema::PrimitiveType_ApplyMomentum, DefaultPopulateParameter);
+  ppr->AddPopulateParameterFunc(schema::PrimitiveType_ApplyMomentum, PopulateApplyMomentumParameter);
   ppr->AddPopulateParameterFunc(schema::PrimitiveType_BiasGrad, PopulateBiasGradParameter);
   ppr->AddPopulateParameterFunc(schema::PrimitiveType_SoftmaxCrossEntropy, PopulateSoftmaxCrossEntropyParameter);
   ppr->AddPopulateParameterFunc(schema::PrimitiveType_ActivationGrad, PopulateActivationGradParameter);
@@ -263,6 +329,8 @@ void PopulateTrainParameters() {
   ppr->AddPopulateParameterFunc(schema::PrimitiveType_Conv2DGradInput, PopulateConvolutionGradInputParameter);
   ppr->AddPopulateParameterFunc(schema::PrimitiveType_PoolingGrad, PopulatePoolingGradParameter);
   ppr->AddPopulateParameterFunc(schema::PrimitiveType_PowerGrad, PopulatePowerGradParameter);
+  ppr->AddPopulateParameterFunc(schema::PrimitiveType_Sgd, PopulateSgdParameter);
+  ppr->AddPopulateParameterFunc(schema::PrimitiveType_BNGrad, PopulateBNGradParameter);
 }
 
 }  // namespace mindspore::kernel
diff --git a/mindspore/lite/src/train/train_session.cc b/mindspore/lite/src/train/train_session.cc
index 10e0311307..5486d2f221 100644
--- a/mindspore/lite/src/train/train_session.cc
+++ b/mindspore/lite/src/train/train_session.cc
@@ -14,12 +14,12 @@
  * limitations under the License.
  */
 
-#include "include/train_session.h"
+#include "src/train/train_session.h"
 #include <algorithm>
-#include "src/common/log_adapter.h"
-#include "include/context.h"
-#include "include/train_model.h"
+#include <utility>
+#include <vector>
 #include "include/errorcode.h"
+#include "include/train_model.h"
 #include "src/common/utils.h"
 #include "src/tensor.h"
 #include "src/train/loss_kernel.h"
@@ -29,7 +29,8 @@
 #include "src/kernel_registry.h"
 #include "src/runtime/kernel/arm/fp32_grad/convolution.h"
 
-namespace mindspore::session {
+namespace mindspore {
+namespace lite {
 
 static size_t TSFindTensor(const std::vector<lite::Tensor *> &where, const lite::Tensor *searchParameter) {
   for (size_t i = 0; i < where.size(); i++) {
@@ -42,45 +43,72 @@ static size_t TSFindTensor(const std::vector<lite::Tensor *> &where, const lite:
 
 TrainSession::TrainSession() { kernel::PopulateTrainParameters(); }
 
-void TrainSession::ReplaceOps() {
-  mindspore::lite::KernelRegistrar tmp(mindspore::kernel::KERNEL_ARCH::kCPU, kNumberTypeFloat32,
-                                       mindspore::schema::PrimitiveType_Conv2D,
-                                       mindspore::kernel::CpuConvTrainFp32KernelCreator);
+std::vector<CreatorOp> TrainSession::ReplaceOps() {
+  const std::vector<CreatorOp> replace = {
+    {{mindspore::kernel::KERNEL_ARCH::kCPU, kNumberTypeFloat32, mindspore::schema::PrimitiveType_Conv2D},
+     mindspore::kernel::CpuConvTrainFp32KernelCreator},
+    {{mindspore::kernel::KERNEL_ARCH::kCPU, kNumberTypeFloat32, mindspore::schema::PrimitiveType_DepthwiseConv2D},
+     mindspore::kernel::CpuConvTrainFp32KernelCreator}};
+  mindspore::lite::KernelRegistry *reg = mindspore::lite::KernelRegistry::GetInstance();
+  std::vector<CreatorOp> results;
+  for (auto v : replace) {
+    const CreatorOp cl = make_tuple(std::get<0>(v), reg->GetCreator(std::get<0>(v)));
+    results.push_back(cl);
+    reg->RegKernel(std::get<0>(v), std::get<1>(v));
+  }
+  return results;
+}
 
-  mindspore::lite::KernelRegistrar tmp0(mindspore::kernel::KERNEL_ARCH::kCPU, kNumberTypeFloat32,
-                                        mindspore::schema::PrimitiveType_DepthwiseConv2D,
-                                        mindspore::kernel::CpuConvTrainFp32KernelCreator);
+void TrainSession::RestoreOps(const std::vector<CreatorOp> &restore) {
+  mindspore::lite::KernelRegistry *reg = mindspore::lite::KernelRegistry::GetInstance();
+  for (auto v : restore) {
+    reg->RegKernel(std::get<0>(v), std::get<1>(v));
+  }
 }
 
-int TrainSession::CompileGraph(lite::Model *model) {
-  model_ = reinterpret_cast<lite::TrainModel *>(model);
-  if (model_ == nullptr) {
-    MS_LOG(ERROR) << "TrainSession can only compile TrainModels";
-    return lite::RET_ERROR;
+void TrainSession::AllocWorkSpace() {
+  size_t workspace_size = 0;
+  for (auto k : kernels_) {
+    if (workspace_size < k->GetWorkspaceSize()) {
+      workspace_size = k->GetWorkspaceSize();
+    }
   }
+  mindspore::kernel::LiteKernel::AllocWorkspace(workspace_size);
+}
+
+int TrainSession::CompileGraph(lite::Model *model) { return lite::RET_ERROR; }
 
-  ReplaceOps();
-  auto ret = LiteSession::CompileGraph(model);
+int TrainSession::CompileTrainGraph(mindspore::lite::TrainModel *model) {
+  model_ = model;
+
+  auto restore = ReplaceOps();
+  auto ret = lite::LiteSession::CompileGraph(model);
   orig_output_map_ = output_node_map_;
   orig_output_tensor_map_ = output_tensor_map_;
+  for (auto inTensor : inputs_) inTensor->MutableData();
+  RestoreOps(restore);
+  AllocWorkSpace();
   return ret;
 }
 
-TrainSession::~TrainSession() { delete model_; }
+TrainSession::~TrainSession() {
+  mindspore::kernel::LiteKernel::FreeWorkspace();
+  delete model_;
+}
 
 void *TrainSession::ExportToBuf(char *buf, size_t *len) const { return model_->ExportBuf(buf, len); }
 
 int TrainSession::RunGraph(const session::KernelCallBack &before, const session::KernelCallBack &after) {
   this->outputs_.clear();
   for (auto ms_tensors : output_node_map_)
-    for (auto ms_tensor : ms_tensors.second) this->outputs_.push_back((reinterpret_cast<lite::Tensor *>(ms_tensor)));
-  if (train_mode_) return LiteSession::RunGraph(before, after);
+    for (auto ms_tensor : ms_tensors.second) this->outputs_.push_back((static_cast<lite::Tensor *>(ms_tensor)));
+  if (train_mode_) return lite::LiteSession::RunGraph(before, after);
 
   // object is expected to run only inference part of graph
   // prepare a list of kernels till the loss function -- temporary solution
   std::vector<kernel::LiteKernel *> inference_kernels;
   for (auto kernel : this->kernels_) {
-    if (reinterpret_cast<const kernel::LossKernel *>(kernel) != nullptr) break;
+    if (IsLossKernel(kernel)) break;
     inference_kernels.push_back(kernel);
   }
 
@@ -106,9 +134,10 @@ void TrainSession::Train() {
   output_tensor_map_.clear();
   train_mode_ = true;
   for (auto kernel : this->kernels_) {
-    if (reinterpret_cast<const kernel::LossKernel *>(kernel) != nullptr) {
+    if (IsLossKernel(kernel)) {
       auto *ms_tensor = kernel->out_tensors().at(0);
       if (ms_tensor != nullptr) {
+        ms_tensor->MutableData();
         output_node_map_[kernel->name()].emplace_back(ms_tensor);
         auto index = TSFindTensor(tensors_, ms_tensor);
         if (index != tensors_.size()) {
@@ -124,26 +153,43 @@ void TrainSession::Eval() {
     MS_ASSERT(nullptr != kernel);
     kernel->eval();
   }
-  kernel::LiteKernel *last_kernel = nullptr;
   output_node_map_ = orig_output_map_;
   output_tensor_map_ = orig_output_tensor_map_;
 
   train_mode_ = false;
   for (auto kernel : this->kernels_) {
-    if ((reinterpret_cast<const kernel::LossKernel *>(kernel) != nullptr) && (last_kernel != nullptr)) {
-      if (output_node_map_.find(last_kernel->name()) == output_node_map_.end()) {
-        auto *ms_tensor = last_kernel->out_tensors().at(0);
-        if (ms_tensor != nullptr) {
-          output_node_map_[last_kernel->name()].emplace_back(ms_tensor);
-          auto index = TSFindTensor(tensors_, ms_tensor);
-          if (index != tensors_.size()) {
-            output_tensor_map_.insert(std::make_pair(std::to_string(index), ms_tensor));
+    if (IsLossKernel(kernel)) {
+      for (auto in_kernel : kernel->in_kernels()) {
+        if (output_node_map_.find(in_kernel->name()) == output_node_map_.end()) {
+          auto *ms_tensor = in_kernel->out_tensors().at(0);
+          if (ms_tensor != nullptr) {
+            output_node_map_[in_kernel->name()].emplace_back(ms_tensor);
+            auto index = TSFindTensor(tensors_, ms_tensor);
+            if (index != tensors_.size()) {
+              output_tensor_map_.insert(std::make_pair(std::to_string(index), ms_tensor));
+            }
           }
         }
       }
     }
-    last_kernel = kernel;
   }
 }
 
-}  // namespace mindspore::session
+bool TrainSession::IsLossKernel(kernel::LiteKernel *kernel) {
+  return (kernel->Type() == schema::PrimitiveType_SoftmaxCrossEntropy);
+}
+
+}  // namespace lite
+
+session::TrainSession *session::TrainSession::CreateSession(lite::Context *context) {
+  auto session = new lite::TrainSession();
+  auto ret = session->Init(context);
+  if (ret != mindspore::lite::RET_OK) {
+    MS_LOG(ERROR) << "init sesssion failed";
+    delete session;
+    return nullptr;
+  }
+  return session;
+}
+
+}  // namespace mindspore
diff --git a/mindspore/lite/src/train/train_session.h b/mindspore/lite/src/train/train_session.h
new file mode 100644
index 0000000000..226497aa71
--- /dev/null
+++ b/mindspore/lite/src/train/train_session.h
@@ -0,0 +1,94 @@
+/**
+ * Copyright 2020 Huawei Technologies Co., Ltd
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+#ifndef MINDSPORE_LITE_SRC_TRAIN_TRAIN_SESSION_H_
+#define MINDSPORE_LITE_SRC_TRAIN_TRAIN_SESSION_H_
+#include <vector>
+#include <string>
+#include <tuple>
+#include <unordered_map>
+#include "src/ops/primitive_c.h"
+#include "include/train_session.h"
+#include "include/train_model.h"
+#include "src/lite_session.h"
+
+/*
+                 Inheritance Diagram
+
+            +-------------------------------+
+            |     session::LiteSession      |
+            +--------+------------+---------+
+                    /              \
+ +-----------------+-----+  +-------+------------+
+ | session::TrainSession |  | lite::LiteSession  |
+ +-----------------+-----+  +-------+------------+
+                    \              /
+            +--------+------------+---------+
+            |       lite::TrainSession      |
+            +-------------------------------+
+*/
+
+namespace mindspore {
+namespace lite {
+
+using CreatorOp = std::tuple<mindspore::kernel::KernelKey, mindspore::kernel::KernelCreator>;
+class TrainSession : virtual public session::TrainSession, virtual public lite::LiteSession {
+ public:
+  TrainSession();
+  ~TrainSession();
+
+  int RunGraph(const session::KernelCallBack &before = nullptr,
+               const session::KernelCallBack &after = nullptr) override;
+
+  int CompileGraph(lite::Model *model) override;
+  int CompileTrainGraph(lite::TrainModel *model) override;
+
+  void *ExportToBuf(char *buf, size_t *len) const override;
+
+  void Train() override;
+  void Eval() override;
+
+  void BindThread(bool if_bind) override { return lite::LiteSession::BindThread(if_bind); }
+  std::vector<tensor::MSTensor *> GetInputs() const override { return lite::LiteSession::GetInputs(); }
+  mindspore::tensor::MSTensor *GetInputsByTensorName(const std::string &tensor_name) const override {
+    return lite::LiteSession::GetInputsByTensorName(tensor_name);
+  }
+  std::vector<tensor::MSTensor *> GetOutputsByNodeName(const std::string &node_name) const override {
+    return lite::LiteSession::GetOutputsByNodeName(node_name);
+  }
+  std::unordered_map<std::string, mindspore::tensor::MSTensor *> GetOutputs() const override {
+    return lite::LiteSession::GetOutputs();
+  }
+
+  std::vector<std::string> GetOutputTensorNames() const override { return lite::LiteSession::GetOutputTensorNames(); }
+  mindspore::tensor::MSTensor *GetOutputByTensorName(const std::string &tensor_name) const override {
+    return lite::LiteSession::GetOutputByTensorName(tensor_name);
+  }
+  int Resize(const std::vector<tensor::MSTensor *> &inputs, const std::vector<std::vector<int>> &dims) override {
+    return lite::LiteSession::Resize(inputs, dims);
+  }
+
+ protected:
+  void AllocWorkSpace();
+  virtual std::vector<CreatorOp> ReplaceOps();
+  virtual void RestoreOps(const std::vector<CreatorOp> &restore);
+  bool IsLossKernel(kernel::LiteKernel *kernel);
+  TrainModel *model_ = nullptr;
+  std::unordered_map<std::string, std::vector<mindspore::tensor::MSTensor *>> orig_output_map_;
+  std::unordered_map<std::string, mindspore::tensor::MSTensor *> orig_output_tensor_map_;
+};
+}  // namespace lite
+}  // namespace mindspore
+#endif  // MINDSPORE_LITE_SRC_TRAIN_TRAIN_SESSION_H_
diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/arithmetic_grad_fp32_tests.cc b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/arithmetic_grad_fp32_tests.cc
index 5a2fced4bb..9f50ea2106 100644
--- a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/arithmetic_grad_fp32_tests.cc
+++ b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/arithmetic_grad_fp32_tests.cc
@@ -112,9 +112,13 @@ TEST_F(TestArithmeticGradFp32, TestAddGradFp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[3], all_tensors[4]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_AddGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_AddGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[1]->MutableData());
@@ -146,9 +150,13 @@ TEST_F(TestArithmeticGradFp32, TestAddGrad2Fp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[4], all_tensors[3]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_AddGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_AddGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[0]->MutableData());
@@ -182,9 +190,13 @@ TEST_F(TestArithmeticGradFp32, TestAddGrad3Fp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[3], all_tensors[4]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_AddGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_AddGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[0]->MutableData());
@@ -219,9 +231,13 @@ TEST_F(TestArithmeticGradFp32, TestSubGradFp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[3], all_tensors[4]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_SubGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_SubGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[1]->MutableData());
@@ -256,9 +272,13 @@ TEST_F(TestArithmeticGradFp32, TestSubGrad2Fp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[4], all_tensors[3]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_SubGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_SubGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[0]->MutableData());
@@ -291,9 +311,13 @@ TEST_F(TestArithmeticGradFp32, TestMulGradFp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[3], all_tensors[4]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_MulGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_MulGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
 
   int loop_count = 1000;
   auto time_start = mindspore::lite::GetTimeUs();
@@ -336,9 +360,13 @@ TEST_F(TestArithmeticGradFp32, TestMulGrad2Fp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[4], all_tensors[3]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_MulGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_MulGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[0]->MutableData());
@@ -372,9 +400,13 @@ TEST_F(TestArithmeticGradFp32, TestMulGrad3Fp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[3], all_tensors[4]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_MulGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_MulGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[1]->MutableData());
@@ -408,9 +440,13 @@ TEST_F(TestArithmeticGradFp32, TestMulGrad4Fp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[4], all_tensors[3]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_MulGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_MulGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[0]->MutableData());
@@ -444,9 +480,13 @@ TEST_F(TestArithmeticGradFp32, TestDivGradFp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[3], all_tensors[4]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_DivGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_DivGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[1]->MutableData());
@@ -480,9 +520,13 @@ TEST_F(TestArithmeticGradFp32, TestDivGrad2Fp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[4], all_tensors[3]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_DivGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_DivGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[0]->MutableData());
@@ -517,9 +561,13 @@ TEST_F(TestArithmeticGradFp32, TestDivGrad3Fp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[3], all_tensors[4]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_DivGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_DivGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[1]->MutableData());
@@ -553,9 +601,13 @@ TEST_F(TestArithmeticGradFp32, Test3DDivGrad2Fp32) {
   std::vector<lite::Tensor *> outputs = {all_tensors[3], all_tensors[4]};
   auto param = PopulateArithmeticParameter(schema::PrimitiveType_DivGrad, inputs, outputs);
 
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_DivGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(param), &ctx, desc, nullptr);
   kernel_obj->Run();
 
   float *output_ptr = reinterpret_cast<float *>(outputs[1]->MutableData());
diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/bias_grad_fp32_tests.cc b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/bias_grad_fp32_tests.cc
index 71c01b7dc4..67e67ca1db 100644
--- a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/bias_grad_fp32_tests.cc
+++ b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/bias_grad_fp32_tests.cc
@@ -45,10 +45,13 @@ TEST_F(TestBiasGradFp32, BiasGradFp32) {
   dw_tensor.SetData(output_data);
   std::vector<lite::Tensor *> outputs = {&dw_tensor};
 
-  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_BiasGrad};
+  lite::InnerContext ctx;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
 
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_BiasGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(bias_param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(bias_param), &ctx, desc, nullptr);
 
   kernel_obj->Run();
 
diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/bn_grad_fp32_test.cc b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/bn_grad_fp32_test.cc
index 1242008a71..8726b3c88c 100644
--- a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/bn_grad_fp32_test.cc
+++ b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/bn_grad_fp32_test.cc
@@ -58,19 +58,24 @@ TEST_F(TestBNGradFp32, BNGradFp32) {
   auto var_tensor = CreateInTensor("././test_data/bngrad/save_var_3.bin", {1, 1, 1, channels});
   // prepare output tensors
   lite::Tensor dx_tensor(TypeId::kNumberTypeFloat32, {batch, height, width, channels});
-  dx_tensor.MallocData();
+  ASSERT_EQ(dx_tensor.MallocData(), 0);
   lite::Tensor dscale_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
-  dscale_tensor.MallocData();
+  ASSERT_EQ(dscale_tensor.MallocData(), 0);
   lite::Tensor dbias_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
-  dbias_tensor.MallocData();
+  ASSERT_EQ(dbias_tensor.MallocData(), 0);
 
   std::vector<lite::Tensor *> inputs = {dy_tensor, x_tensor, scale_tensor, mean_tensor, var_tensor};
   std::vector<lite::Tensor *> outputs = {&dx_tensor, &dscale_tensor, &dbias_tensor};
 
-  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_BNGrad};
+  lite::InnerContext ctx;
+  ctx.device_type_ = lite::DT_CPU;
+  ctx.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, ctx.Init());
 
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_BNGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(bn_param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(bn_param), &ctx, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel_obj->GetWorkspaceSize());
 
   for (int i = 0; i < 3; i++) {
     kernel_obj->Run();
@@ -107,6 +112,7 @@ TEST_F(TestBNGradFp32, BNGradFp32) {
     v->SetData(nullptr);
     delete v;
   }
+  mindspore::kernel::LiteKernel::FreeWorkspace();
   delete kernel_obj;
   MS_LOG(INFO) << "BNGradFp32 passed";
 }
@@ -114,6 +120,7 @@ TEST_F(TestBNGradFp32, BNGradFp32) {
 TEST_F(TestBNGradFp32, BNTtrainFp32) {
   auto bn_param = static_cast<BatchNormParameter *>(malloc(sizeof(BatchNormParameter)));
   bn_param->epsilon_ = 0.00001;
+  bn_param->momentum_ = 0.;
   const int batch = 2;
   const int channels = 3;
   const int height = 4;
@@ -122,22 +129,22 @@ TEST_F(TestBNGradFp32, BNTtrainFp32) {
   auto x_tensor = CreateInTensor("./test_data/bngrad/input_x_2_4_5_3.bin", {batch, height, width, channels});
 
   lite::Tensor scale_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
-  scale_tensor.MallocData();
+  ASSERT_EQ(scale_tensor.MallocData(), 0);
   auto scale = reinterpret_cast<float *>(scale_tensor.MutableData());
   std::fill(scale, scale + channels, 1.0f);
 
   lite::Tensor bias_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
-  bias_tensor.MallocData();
+  ASSERT_EQ(bias_tensor.MallocData(), 0);
   auto bias = reinterpret_cast<float *>(bias_tensor.MutableData());
   std::fill(bias, bias + channels, 1.0f);
 
   lite::Tensor mean_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
-  mean_tensor.MallocData();
+  ASSERT_EQ(mean_tensor.MallocData(), 0);
   auto mean = reinterpret_cast<float *>(mean_tensor.MutableData());
   std::fill(mean, mean + channels, 0.0f);
 
   lite::Tensor var_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
-  var_tensor.MallocData();
+  ASSERT_EQ(var_tensor.MallocData(), 0);
   auto var = reinterpret_cast<float *>(var_tensor.MutableData());
   std::fill(var, var + channels, 1.0f);
 
@@ -146,11 +153,11 @@ TEST_F(TestBNGradFp32, BNTtrainFp32) {
   lite::Tensor out_tensor(TypeId::kNumberTypeFloat32, {batch, height, width, channels});
   ASSERT_EQ(out_tensor.MallocData(), 0);
 
-  lite::Tensor run_mean_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
-  ASSERT_EQ(run_mean_tensor.MallocData(), 0);
+  lite::Tensor save_scale_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
+  ASSERT_EQ(save_scale_tensor.MallocData(), 0);
 
-  lite::Tensor run_var_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
-  ASSERT_EQ(run_var_tensor.MallocData(), 0);
+  lite::Tensor save_bias_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
+  ASSERT_EQ(save_bias_tensor.MallocData(), 0);
 
   lite::Tensor save_mean_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
   ASSERT_EQ(save_mean_tensor.MallocData(), 0);
@@ -158,7 +165,7 @@ TEST_F(TestBNGradFp32, BNTtrainFp32) {
   lite::Tensor save_var_tensor(TypeId::kNumberTypeFloat32, {1, 1, 1, channels});
   ASSERT_EQ(save_var_tensor.MallocData(), 0);
 
-  std::vector<lite::Tensor *> outputs = {&out_tensor, &run_mean_tensor, &run_var_tensor, &save_mean_tensor,
+  std::vector<lite::Tensor *> outputs = {&out_tensor, &save_scale_tensor, &save_bias_tensor, &save_mean_tensor,
                                          &save_var_tensor};
 
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_FusedBatchNorm};
@@ -170,26 +177,31 @@ TEST_F(TestBNGradFp32, BNTtrainFp32) {
 
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
   auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(bn_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel_obj->GetWorkspaceSize());
+
+  float *save_mean = reinterpret_cast<float *>(save_mean_tensor.MutableData());
+  float *save_var = reinterpret_cast<float *>(save_var_tensor.MutableData());
+  std::fill(save_mean, save_mean + channels, 0.f);
+  std::fill(save_var, save_var + channels, 0.f);
 
   kernel_obj->train();
   kernel_obj->Run();
 
-  float *run_mean = reinterpret_cast<float *>(run_mean_tensor.MutableData());
-  float *run_var = reinterpret_cast<float *>(run_var_tensor.MutableData());
-  std::cout << "================run_mean==============================\n";
-  for (int i = 0; i < channels; i++) std::cout << run_mean[i] << " ";
+  std::cout << "================save_mean==============================\n";
+  for (int i = 0; i < channels; i++) std::cout << save_mean[i] << " ";
   std::cout << "\n";
-  std::cout << "================run_var==============================\n";
-  for (int i = 0; i < channels; i++) std::cout << run_var[i] << " ";
+  std::cout << "===============save_var==============================\n";
+  for (int i = 0; i < channels; i++) std::cout << save_var[i] << " ";
   std::cout << "\n";
   delete[] reinterpret_cast<float *>(x_tensor->MutableData());
-  auto res = mindspore::lite::CompareRelativeOutput(run_mean, "./test_data/bngrad/running_mean_3.bin");
+  auto res = mindspore::lite::CompareRelativeOutput(save_mean, "./test_data/bngrad/running_mean_3.bin");
   EXPECT_EQ(res, 0);
-  res = mindspore::lite::CompareRelativeOutput(run_var, "./test_data/bngrad/running_var_3.bin");
+  res = mindspore::lite::CompareRelativeOutput(save_var, "./test_data/bngrad/running_var_3.bin");
   EXPECT_EQ(res, 0);
 
   x_tensor->SetData(nullptr);
   delete x_tensor;
+  mindspore::kernel::LiteKernel::FreeWorkspace();
   delete kernel_obj;
 }
 }  // namespace mindspore
diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/convolution_grad_fp32_tests.cc b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/convolution_grad_fp32_tests.cc
index 61948362d0..006a6ff81f 100644
--- a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/convolution_grad_fp32_tests.cc
+++ b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/convolution_grad_fp32_tests.cc
@@ -107,10 +107,15 @@ TEST_F(TestConvolutionGradFp32, ConvFp32FilterGrad) {
   std::vector<lite::Tensor *> inputs = {&dy_tensor, &x_tensor};
   std::vector<lite::Tensor *> outputs = {&dw_tensor};
 
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_Conv2DGradFilter};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), NULL, desc, nullptr);
-
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
   // warm up loop
   for (int i = 0; i < 3; i++) {
     kernel->Run();
@@ -134,6 +139,7 @@ TEST_F(TestConvolutionGradFp32, ConvFp32FilterGrad) {
   delete[] input_data;
   delete[] dy_data;
   delete[] dw_data;
+  mindspore::kernel::LiteKernel::FreeWorkspace();
   delete kernel;
   // delete conv_param;
   dw_tensor.SetData(nullptr);
@@ -175,9 +181,15 @@ TEST_F(TestConvolutionGradFp32, ConvFp32InputGrad) {
   printf("Calculating runtime cost...\n");
   uint64_t time_avg = 0;
 
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_Conv2DGradInput};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), NULL, desc, nullptr);
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
 
   // warm up loop
   for (int i = 0; i < 3; i++) {
@@ -203,6 +215,7 @@ TEST_F(TestConvolutionGradFp32, ConvFp32InputGrad) {
   w_tensor.SetData(nullptr);
   dy_tensor.SetData(nullptr);
   dx_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
   delete kernel;
   // delete conv_param;
 
@@ -241,10 +254,15 @@ TEST_F(TestConvolutionGradFp32, ConvFp32GroupFilterGrad) {
   std::vector<lite::Tensor *> inputs = {&dy_tensor, &x_tensor};
   std::vector<lite::Tensor *> outputs = {&dw_tensor};
 
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_Conv2DGradFilter};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), NULL, desc, nullptr);
-
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
   // warm up loop
   for (int i = 0; i < 3; i++) {
     kernel->Run();
@@ -270,6 +288,7 @@ TEST_F(TestConvolutionGradFp32, ConvFp32GroupFilterGrad) {
   dw_tensor.SetData(nullptr);
   x_tensor.SetData(nullptr);
   dy_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
   delete kernel;
   // delete conv_param;
   MS_LOG(INFO) << "TestConvolutionGradFp32 Filter Grad passed";
@@ -308,10 +327,15 @@ TEST_F(TestConvolutionGradFp32, ConvFp32GroupInputGrad) {
   printf("Calculating runtime cost...\n");
   uint64_t time_avg = 0;
 
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_Conv2DGradInput};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), NULL, desc, nullptr);
-
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
   // warm up loop
   for (int i = 0; i < 3; i++) {
     kernel->Run();
@@ -338,6 +362,7 @@ TEST_F(TestConvolutionGradFp32, ConvFp32GroupInputGrad) {
   dy_tensor.SetData(nullptr);
 
   delete kernel;
+  mindspore::kernel::LiteKernel::FreeWorkspace();
   // delete conv_param;
   MS_LOG(INFO) << "TestConvolutionGradFp32 Filter Grad passed";
 }
@@ -375,9 +400,15 @@ TEST_F(TestConvolutionGradFp32, ConvFp32GroupDilationFilterGrad) {
   std::vector<lite::Tensor *> inputs = {&dy_tensor, &x_tensor};
   std::vector<lite::Tensor *> outputs = {&dw_tensor};
 
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_Conv2DGradFilter};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), NULL, desc, nullptr);
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
 
   // warm up loop
   for (int i = 0; i < 3; i++) {
@@ -403,6 +434,7 @@ TEST_F(TestConvolutionGradFp32, ConvFp32GroupDilationFilterGrad) {
   dw_tensor.SetData(nullptr);
   dy_tensor.SetData(nullptr);
   x_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
   delete kernel;
   // delete conv_param;
   MS_LOG(INFO) << "TestConvolutionGradFp32 Filter Grad passed";
@@ -441,14 +473,15 @@ TEST_F(TestConvolutionGradFp32, ConvFp32GroupDilationInputGrad) {
   printf("Calculating runtime cost...\n");
   uint64_t time_avg = 0;
 
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_Conv2DGradInput};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), NULL, desc, nullptr);
-
-  // warm up loop
-  for (int i = 0; i < 3; i++) {
-    kernel->Run();
-  }
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
 
   int loop_count = 100;
   auto time_start = mindspore::lite::GetTimeUs();
@@ -469,6 +502,7 @@ TEST_F(TestConvolutionGradFp32, ConvFp32GroupDilationInputGrad) {
   dx_tensor.SetData(nullptr);
   dy_tensor.SetData(nullptr);
   w_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
   delete kernel;
   // delete conv_param;
   MS_LOG(INFO) << "TestConvolutionGradFp32 Filter Grad passed";
@@ -515,6 +549,8 @@ TEST_F(TestConvolutionGradFp32, ConvGroupDilation) {
   auto *kernel = new mindspore::kernel::ConvolutionTrainCPUKernel(reinterpret_cast<OpParameter *>(conv_param), inputs,
                                                                   outputs, &context, 0);
   kernel->Init();
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
+
   kernel->train();
   EXPECT_EQ(kernel->is_train(), 1);
 
@@ -543,9 +579,208 @@ TEST_F(TestConvolutionGradFp32, ConvGroupDilation) {
   x_tensor.SetData(nullptr);
   y_tensor.SetData(nullptr);
   w_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
   delete kernel;
 
   MS_LOG(INFO) << "TestConvolutionFp32 Filter Grad passed";
 }
 
+TEST_F(TestConvolutionGradFp32, ConvFp32Dilation2Group2Stride2FilterGrad) {
+  // prepare stage
+  auto conv_param = static_cast<ConvParameter *>(malloc(sizeof(ConvParameter)));
+  conv_param->input_batch_ = 2;
+  conv_param->input_h_ = 32;
+  conv_param->input_w_ = 32;
+  conv_param->input_channel_ = 4;
+
+  conv_param->output_batch_ = 2;
+  conv_param->output_h_ = 15;
+  conv_param->output_w_ = 15;
+  conv_param->output_channel_ = 12;
+
+  conv_param->kernel_h_ = 3;
+  conv_param->kernel_w_ = 3;
+
+  conv_param->stride_h_ = 2;
+  conv_param->stride_w_ = 2;
+
+  conv_param->dilation_h_ = 2;
+  conv_param->dilation_w_ = 2;
+
+  conv_param->pad_u_ = 1;
+  conv_param->pad_l_ = 1;
+  conv_param->pad_r_ = 1;
+  conv_param->pad_d_ = 1;
+
+  conv_param->group_ = 2;
+  conv_param->act_type_ = ActType_No;
+  conv_param->thread_num_ = 1;
+
+  size_t dy_size;
+  std::string dy_path = "./test_data/conv/convfp32_dy_d2_g2_s2_2_12_15_15.bin";
+  auto dy_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(dy_path.c_str(), &dy_size));
+  std::vector<int> dim_dy({2, 15, 15, 12});
+  lite::Tensor dy_tensor(TypeId::kNumberTypeFloat32, dim_dy);
+  dy_tensor.SetData(dy_data);
+
+  // runtime part
+  printf("Calculating runtime cost...\n");
+  uint64_t time_avg = 0;
+  size_t output_data_size =
+    conv_param->output_channel_ * conv_param->kernel_h_ * conv_param->kernel_w_ * conv_param->input_channel_;
+
+  size_t input_size;
+  std::string input_path = "./test_data/conv/convfp32_input0_d2_g2_s2_2_4_32_32.bin";
+  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
+  std::vector<int> dim_x({2, 32, 32, 4});
+  lite::Tensor x_tensor(TypeId::kNumberTypeFloat32, dim_x);
+  x_tensor.SetData(input_data);
+
+  auto dw_data = new float[output_data_size];
+  std::vector<int> dim_dw({12, 3, 3, 2});
+  lite::Tensor dw_tensor(TypeId::kNumberTypeFloat32, dim_dw);
+  dw_tensor.SetData(dw_data);
+  std::vector<lite::Tensor *> inputs = {&dy_tensor, &x_tensor};
+  std::vector<lite::Tensor *> outputs = {&dw_tensor};
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_Conv2DGradFilter};
+  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
+
+  // warm up loop
+  for (int i = 0; i < 3; i++) {
+    kernel->Run();
+  }
+
+  int loop_count = 100;
+  auto time_start = mindspore::lite::GetTimeUs();
+  for (int i = 0; i < loop_count; i++) {
+    kernel->Run();
+  }
+  auto time_end = mindspore::lite::GetTimeUs();
+  auto cost = time_end - time_start;
+  time_avg = cost / loop_count;
+  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
+
+  std::string output_path = "./test_data/conv/convfp32_dw_d2_g2_s2_12_2_3_3.bin";
+  auto res = lite::CompareRelativeOutput(dw_data, output_path);
+
+  EXPECT_EQ(res, 0);
+
+  delete[] input_data;
+  delete[] dy_data;
+  delete[] dw_data;
+  delete kernel;
+  // delete conv_param;
+  dw_tensor.SetData(nullptr);
+  x_tensor.SetData(nullptr);
+  dy_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
+  MS_LOG(INFO) << "TestConvolutionGradFp32 Filter Grad passed";
+}
+
+TEST_F(TestConvolutionGradFp32, ConvGroup2Dilation2Stride2) {
+  // prepare stage
+  auto conv_param = static_cast<ConvParameter *>(malloc(sizeof(ConvParameter)));
+  conv_param->input_batch_ = 2;
+  conv_param->input_h_ = 32;
+  conv_param->input_w_ = 32;
+  conv_param->input_channel_ = 4;
+
+  conv_param->output_batch_ = 2;
+  conv_param->output_h_ = 15;
+  conv_param->output_w_ = 15;
+  conv_param->output_channel_ = 12;
+
+  conv_param->kernel_h_ = 3;
+  conv_param->kernel_w_ = 3;
+
+  conv_param->stride_h_ = 2;
+  conv_param->stride_w_ = 2;
+
+  conv_param->dilation_h_ = 2;
+  conv_param->dilation_w_ = 2;
+
+  conv_param->pad_u_ = 1;
+  conv_param->pad_l_ = 1;
+  conv_param->pad_r_ = 1;
+  conv_param->pad_d_ = 1;
+
+  conv_param->group_ = 2;
+  conv_param->act_type_ = ActType_No;
+  conv_param->thread_num_ = 1;
+
+  size_t dy_size;
+  std::string dy_path = "./test_data/conv/convfp32_dy_d2_g2_s2_2_12_15_15.bin";
+  auto dy_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(dy_path.c_str(), &dy_size));
+  std::vector<int> dim_dy({2, 15, 15, 12});
+  lite::Tensor dy_tensor(TypeId::kNumberTypeFloat32, dim_dy);
+  dy_tensor.SetData(dy_data);
+
+  size_t w_size;
+  std::string w_path = "./test_data/conv/convfp32_w_d2_g2_s2_12_2_3_3.bin";
+  auto w_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(w_path.c_str(), &w_size));
+  std::vector<int> dim_w({12, 3, 3, 2});
+  lite::Tensor w_tensor(TypeId::kNumberTypeFloat32, dim_w);
+  w_tensor.SetData(w_data);
+
+  size_t output_data_size =
+    conv_param->input_batch_ * conv_param->input_h_ * conv_param->input_w_ * conv_param->input_channel_;
+  auto dx_data = new float[output_data_size];
+  std::vector<int> dim_dx({2, 32, 32, 4});
+  lite::Tensor dx_tensor(TypeId::kNumberTypeFloat32, dim_dx);
+  dx_tensor.SetData(dx_data);
+
+  std::vector<lite::Tensor *> inputs = {&dy_tensor, &w_tensor};
+  std::vector<lite::Tensor *> outputs = {&dx_tensor};
+  // runtime part
+
+  printf("Calculating runtime cost...\n");
+  uint64_t time_avg = 0;
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_Conv2DGradInput};
+  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
+
+  // warm up loop
+  for (int i = 0; i < 3; i++) {
+    kernel->Run();
+  }
+
+  int loop_count = 100;
+  auto time_start = mindspore::lite::GetTimeUs();
+  for (int i = 0; i < loop_count; i++) {
+    kernel->Run();
+  }
+  auto time_end = mindspore::lite::GetTimeUs();
+  auto cost = time_end - time_start;
+  time_avg = cost / loop_count;
+  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
+
+  std::string output_path = "./test_data/conv/convfp32_inputdx_d2_g2_s2_2_4_32_32.bin";
+  auto res = lite::CompareRelativeOutput(dx_data, output_path);
+  EXPECT_EQ(res, 0);
+  delete[] dx_data;
+  delete[] w_data;
+  delete[] dy_data;
+  dx_tensor.SetData(nullptr);
+  dy_tensor.SetData(nullptr);
+  w_tensor.SetData(nullptr);
+  delete kernel;
+  mindspore::kernel::LiteKernel::FreeWorkspace();
+  MS_LOG(INFO) << "TestConvolutionGradFp32 Filter Grad passed";
+}
+
 }  // namespace mindspore
diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/deconvolution_grad_fp32_tests.cc b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/deconvolution_grad_fp32_tests.cc
new file mode 100644
index 0000000000..5ca7276c6f
--- /dev/null
+++ b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/deconvolution_grad_fp32_tests.cc
@@ -0,0 +1,634 @@
+/**
+ * Copyright 2020 Huawei Technologies Co., Ltd
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <iostream>
+#include <memory>
+#include <vector>
+// #include "utils/log_adapter.h"
+#include "common/common_test.h"
+#include "src/common/file_utils.h"
+#include "src/common/file_utils_ext.h"
+#include "mindspore/lite/src/runtime/kernel/arm/fp32_grad/deconvolution_grad_filter.h"
+#include "mindspore/lite/nnacl/conv_parameter.h"
+#include "mindspore/lite/src/kernel_registry.h"
+
+namespace mindspore {
+class TestDeConvolutionGradFp32 : public mindspore::CommonTest {
+ public:
+  TestDeConvolutionGradFp32() {}
+};
+
+TEST_F(TestDeConvolutionGradFp32, DeConvFp32FilterGrad) {
+  // prepare stage
+  auto conv_param = static_cast<ConvParameter *>(malloc(sizeof(ConvParameter)));
+  conv_param->input_batch_ = 2;
+  conv_param->input_h_ = 32;
+  conv_param->input_w_ = 32;
+  conv_param->input_channel_ = 3;
+
+  conv_param->output_batch_ = 2;
+  conv_param->output_h_ = 63;
+  conv_param->output_w_ = 63;
+  conv_param->output_channel_ = 9;
+
+  conv_param->kernel_h_ = 3;
+  conv_param->kernel_w_ = 3;
+
+  conv_param->stride_h_ = 2;
+  conv_param->stride_w_ = 2;
+
+  conv_param->dilation_h_ = 1;
+  conv_param->dilation_w_ = 1;
+
+  conv_param->pad_u_ = 1;
+  conv_param->pad_l_ = 1;
+  conv_param->pad_r_ = 1;
+  conv_param->pad_d_ = 1;
+
+  conv_param->group_ = 1;
+  conv_param->act_type_ = ActType_No;
+  conv_param->thread_num_ = 1;
+
+  size_t dy_size;
+  std::string dy_path = "./test_data/deconv/deconvfp32_dy_2_9_63_63.bin";
+  auto dy_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(dy_path.c_str(), &dy_size));
+  std::vector<int> dim_dy({2, 63, 63, 9});
+  lite::Tensor dy_tensor(TypeId::kNumberTypeFloat32, dim_dy);
+  dy_tensor.SetData(dy_data);
+
+  // runtime part
+  printf("Calculating runtime cost...\n");
+  uint64_t time_avg = 0;
+  size_t output_data_size =
+    conv_param->output_channel_ * conv_param->kernel_h_ * conv_param->kernel_w_ * conv_param->input_channel_;
+
+  size_t input_size;
+  std::string input_path = "./test_data/deconv/deconvfp32_input0_2_3_32_32.bin";
+  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
+  std::vector<int> dim_x({2, 32, 32, 3});
+  lite::Tensor x_tensor(TypeId::kNumberTypeFloat32, dim_x);
+  x_tensor.SetData(input_data);
+
+  auto dw_data = new float[output_data_size];
+  std::vector<int> dim_dw({3, 3, 3, 9});
+  lite::Tensor dw_tensor(TypeId::kNumberTypeFloat32, dim_dw);
+  dw_tensor.SetData(dw_data);
+  std::vector<lite::Tensor *> inputs = {&dy_tensor, &x_tensor};
+  std::vector<lite::Tensor *> outputs = {&dw_tensor};
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_DeConv2DGradFilter};
+  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
+
+  // warm up loop
+  for (int i = 0; i < 3; i++) {
+    kernel->Run();
+  }
+
+  int loop_count = 100;
+  auto time_start = mindspore::lite::GetTimeUs();
+  for (int i = 0; i < loop_count; i++) {
+    kernel->Run();
+  }
+  auto time_end = mindspore::lite::GetTimeUs();
+  auto cost = time_end - time_start;
+  time_avg = cost / loop_count;
+  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
+
+  std::string output_path = "./test_data/deconv/deconvfp32_dw_9_3_3_3.bin";
+  auto res = lite::CompareRelativeOutput(dw_data, output_path);
+
+  EXPECT_EQ(res, 0);
+
+  delete[] input_data;
+  delete[] dy_data;
+  delete[] dw_data;
+  delete kernel;
+  // delete conv_param;
+  dw_tensor.SetData(nullptr);
+  x_tensor.SetData(nullptr);
+  dy_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
+  MS_LOG(INFO) << "TestDeConvolutionGradFp32 Filter Grad passed";
+}
+
+TEST_F(TestDeConvolutionGradFp32, DeConvFp32Dilation2FilterGrad) {
+  // prepare stage
+  auto conv_param = static_cast<ConvParameter *>(malloc(sizeof(ConvParameter)));
+  conv_param->input_batch_ = 2;
+  conv_param->input_h_ = 32;
+  conv_param->input_w_ = 32;
+  conv_param->input_channel_ = 3;
+
+  conv_param->output_batch_ = 2;
+  conv_param->output_h_ = 65;
+  conv_param->output_w_ = 65;
+  conv_param->output_channel_ = 9;
+
+  conv_param->kernel_h_ = 3;
+  conv_param->kernel_w_ = 3;
+
+  conv_param->stride_h_ = 2;
+  conv_param->stride_w_ = 2;
+
+  conv_param->dilation_h_ = 2;
+  conv_param->dilation_w_ = 2;
+
+  conv_param->pad_u_ = 1;
+  conv_param->pad_l_ = 1;
+  conv_param->pad_r_ = 1;
+  conv_param->pad_d_ = 1;
+
+  conv_param->group_ = 1;
+  conv_param->act_type_ = ActType_No;
+  conv_param->thread_num_ = 1;
+
+  size_t dy_size;
+  std::string dy_path = "./test_data/deconv/deconvfp32_dy_d2_2_9_65_65.bin";
+  auto dy_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(dy_path.c_str(), &dy_size));
+  std::vector<int> dim_dy({2, 65, 65, 9});
+  lite::Tensor dy_tensor(TypeId::kNumberTypeFloat32, dim_dy);
+  dy_tensor.SetData(dy_data);
+
+  // runtime part
+  printf("Calculating runtime cost...\n");
+  uint64_t time_avg = 0;
+  size_t output_data_size =
+    conv_param->output_channel_ * conv_param->kernel_h_ * conv_param->kernel_w_ * conv_param->input_channel_;
+
+  size_t input_size;
+  std::string input_path = "./test_data/deconv/deconvfp32_input0_d2_2_3_32_32.bin";
+  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
+  std::vector<int> dim_x({2, 32, 32, 3});
+  lite::Tensor x_tensor(TypeId::kNumberTypeFloat32, dim_x);
+  x_tensor.SetData(input_data);
+
+  auto dw_data = new float[output_data_size];
+  std::vector<int> dim_dw({9, 3, 3, 3});
+  lite::Tensor dw_tensor(TypeId::kNumberTypeFloat32, dim_dw);
+  dw_tensor.SetData(dw_data);
+  std::vector<lite::Tensor *> inputs = {&dy_tensor, &x_tensor};
+  std::vector<lite::Tensor *> outputs = {&dw_tensor};
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_DeConv2DGradFilter};
+  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
+
+  // warm up loop
+  for (int i = 0; i < 3; i++) {
+    kernel->Run();
+  }
+
+  int loop_count = 100;
+  auto time_start = mindspore::lite::GetTimeUs();
+  for (int i = 0; i < loop_count; i++) {
+    kernel->Run();
+  }
+  auto time_end = mindspore::lite::GetTimeUs();
+  auto cost = time_end - time_start;
+  time_avg = cost / loop_count;
+  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
+
+  std::string output_path = "./test_data/deconv/deconvfp32_dw_d2_9_3_3_3.bin";
+  auto res = lite::CompareRelativeOutput(dw_data, output_path);
+
+  EXPECT_EQ(res, 0);
+
+  delete[] input_data;
+  delete[] dy_data;
+  delete[] dw_data;
+  delete kernel;
+  // delete conv_param;
+  dw_tensor.SetData(nullptr);
+  x_tensor.SetData(nullptr);
+  dy_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
+  MS_LOG(INFO) << "TestDeConvolutionGradFp32 Filter Grad passed";
+}
+
+TEST_F(TestDeConvolutionGradFp32, DeConvFp32Dilation2Group3FilterGrad) {
+  // prepare stage
+  auto conv_param = static_cast<ConvParameter *>(malloc(sizeof(ConvParameter)));
+  conv_param->input_batch_ = 2;
+  conv_param->input_h_ = 32;
+  conv_param->input_w_ = 32;
+  conv_param->input_channel_ = 3;
+
+  conv_param->output_batch_ = 2;
+  conv_param->output_h_ = 65;
+  conv_param->output_w_ = 65;
+  conv_param->output_channel_ = 9;
+
+  conv_param->kernel_h_ = 3;
+  conv_param->kernel_w_ = 3;
+
+  conv_param->stride_h_ = 2;
+  conv_param->stride_w_ = 2;
+
+  conv_param->dilation_h_ = 2;
+  conv_param->dilation_w_ = 2;
+
+  conv_param->pad_u_ = 1;
+  conv_param->pad_l_ = 1;
+  conv_param->pad_r_ = 1;
+  conv_param->pad_d_ = 1;
+
+  conv_param->group_ = 3;
+  conv_param->act_type_ = ActType_No;
+  conv_param->thread_num_ = 1;
+
+  size_t dy_size;
+  std::string dy_path = "./test_data/deconv/deconvfp32_dy_d2_g3_2_9_65_65.bin";
+  auto dy_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(dy_path.c_str(), &dy_size));
+  std::vector<int> dim_dy({2, 65, 65, 9});
+  lite::Tensor dy_tensor(TypeId::kNumberTypeFloat32, dim_dy);
+  dy_tensor.SetData(dy_data);
+
+  // runtime part
+  printf("Calculating runtime cost...\n");
+  uint64_t time_avg = 0;
+  size_t output_data_size =
+    conv_param->output_channel_ * conv_param->kernel_h_ * conv_param->kernel_w_ * conv_param->input_channel_;
+
+  size_t input_size;
+  std::string input_path = "./test_data/deconv/deconvfp32_input0_d2_g3_2_3_32_32.bin";
+  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
+  std::vector<int> dim_x({2, 32, 32, 3});
+  lite::Tensor x_tensor(TypeId::kNumberTypeFloat32, dim_x);
+  x_tensor.SetData(input_data);
+
+  auto dw_data = new float[output_data_size];
+  std::vector<int> dim_dw({3, 3, 3, 3});
+  lite::Tensor dw_tensor(TypeId::kNumberTypeFloat32, dim_dw);
+  dw_tensor.SetData(dw_data);
+  std::vector<lite::Tensor *> inputs = {&dy_tensor, &x_tensor};
+  std::vector<lite::Tensor *> outputs = {&dw_tensor};
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_DeConv2DGradFilter};
+  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
+
+  // warm up loop
+  for (int i = 0; i < 3; i++) {
+    kernel->Run();
+  }
+
+  int loop_count = 100;
+  auto time_start = mindspore::lite::GetTimeUs();
+  for (int i = 0; i < loop_count; i++) {
+    kernel->Run();
+  }
+  auto time_end = mindspore::lite::GetTimeUs();
+  auto cost = time_end - time_start;
+  time_avg = cost / loop_count;
+  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
+
+  std::string output_path = "./test_data/deconv/deconvfp32_dw_d2_g3_3_3_3_3.bin";
+  auto res = lite::CompareRelativeOutput(dw_data, output_path);
+
+  EXPECT_EQ(res, 0);
+
+  delete[] input_data;
+  delete[] dy_data;
+  delete[] dw_data;
+  delete kernel;
+  // delete conv_param;
+  dw_tensor.SetData(nullptr);
+  x_tensor.SetData(nullptr);
+  dy_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
+  MS_LOG(INFO) << "TestDeConvolutionGradFp32 Filter Grad passed";
+}
+
+TEST_F(TestDeConvolutionGradFp32, DeConvFp32Dilation2Group3Stride1FilterGrad) {
+  // prepare stage
+  auto conv_param = static_cast<ConvParameter *>(malloc(sizeof(ConvParameter)));
+  conv_param->input_batch_ = 2;
+  conv_param->input_h_ = 32;
+  conv_param->input_w_ = 32;
+  conv_param->input_channel_ = 3;
+
+  conv_param->output_batch_ = 2;
+  conv_param->output_h_ = 34;
+  conv_param->output_w_ = 34;
+  conv_param->output_channel_ = 9;
+
+  conv_param->kernel_h_ = 3;
+  conv_param->kernel_w_ = 3;
+
+  conv_param->stride_h_ = 1;
+  conv_param->stride_w_ = 1;
+
+  conv_param->dilation_h_ = 2;
+  conv_param->dilation_w_ = 2;
+
+  conv_param->pad_u_ = 1;
+  conv_param->pad_l_ = 1;
+  conv_param->pad_r_ = 1;
+  conv_param->pad_d_ = 1;
+
+  conv_param->group_ = 3;
+  conv_param->act_type_ = ActType_No;
+  conv_param->thread_num_ = 1;
+
+  size_t dy_size;
+  std::string dy_path = "./test_data/deconv/deconvfp32_dy_d2_g3_s1_2_9_34_34.bin";
+  auto dy_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(dy_path.c_str(), &dy_size));
+  std::vector<int> dim_dy({2, 34, 34, 9});
+  lite::Tensor dy_tensor(TypeId::kNumberTypeFloat32, dim_dy);
+  dy_tensor.SetData(dy_data);
+
+  // runtime part
+  printf("Calculating runtime cost...\n");
+  uint64_t time_avg = 0;
+  size_t output_data_size =
+    conv_param->output_channel_ * conv_param->kernel_h_ * conv_param->kernel_w_ * conv_param->input_channel_;
+
+  size_t input_size;
+  std::string input_path = "./test_data/deconv/deconvfp32_input0_d2_g3_s1_2_3_32_32.bin";
+  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
+  std::vector<int> dim_x({2, 32, 32, 3});
+  lite::Tensor x_tensor(TypeId::kNumberTypeFloat32, dim_x);
+  x_tensor.SetData(input_data);
+
+  auto dw_data = new float[output_data_size];
+  std::vector<int> dim_dw({3, 3, 3, 3});
+  lite::Tensor dw_tensor(TypeId::kNumberTypeFloat32, dim_dw);
+  dw_tensor.SetData(dw_data);
+  std::vector<lite::Tensor *> inputs = {&dy_tensor, &x_tensor};
+  std::vector<lite::Tensor *> outputs = {&dw_tensor};
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_DeConv2DGradFilter};
+  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
+
+  // warm up loop
+  for (int i = 0; i < 3; i++) {
+    kernel->Run();
+  }
+
+  int loop_count = 100;
+  auto time_start = mindspore::lite::GetTimeUs();
+  for (int i = 0; i < loop_count; i++) {
+    kernel->Run();
+  }
+  auto time_end = mindspore::lite::GetTimeUs();
+  auto cost = time_end - time_start;
+  time_avg = cost / loop_count;
+  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
+
+  std::string output_path = "./test_data/deconv/deconvfp32_dw_d2_g3_s1_3_3_3_3.bin";
+  auto res = lite::CompareRelativeOutput(dw_data, output_path);
+
+  EXPECT_EQ(res, 0);
+
+  delete[] input_data;
+  delete[] dy_data;
+  delete[] dw_data;
+  delete kernel;
+  // delete conv_param;
+  dw_tensor.SetData(nullptr);
+  x_tensor.SetData(nullptr);
+  dy_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
+  MS_LOG(INFO) << "TestDeConvolutionGradFp32 Filter Grad passed";
+}
+
+TEST_F(TestDeConvolutionGradFp32, DeConvFp32Dilation2Group2Stride2FilterGrad) {
+  // prepare stage
+  auto conv_param = static_cast<ConvParameter *>(malloc(sizeof(ConvParameter)));
+  conv_param->input_batch_ = 2;
+  conv_param->input_h_ = 32;
+  conv_param->input_w_ = 32;
+  conv_param->input_channel_ = 4;
+
+  conv_param->output_batch_ = 2;
+  conv_param->output_h_ = 65;
+  conv_param->output_w_ = 65;
+  conv_param->output_channel_ = 12;
+
+  conv_param->kernel_h_ = 3;
+  conv_param->kernel_w_ = 3;
+
+  conv_param->stride_h_ = 2;
+  conv_param->stride_w_ = 2;
+
+  conv_param->dilation_h_ = 2;
+  conv_param->dilation_w_ = 2;
+
+  conv_param->pad_u_ = 1;
+  conv_param->pad_l_ = 1;
+  conv_param->pad_r_ = 1;
+  conv_param->pad_d_ = 1;
+
+  conv_param->group_ = 2;
+  conv_param->act_type_ = ActType_No;
+  conv_param->thread_num_ = 1;
+
+  size_t dy_size;
+  std::string dy_path = "./test_data/deconv/deconvfp32_dy_d2_g2_s2_2_12_65_65.bin";
+  auto dy_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(dy_path.c_str(), &dy_size));
+  std::vector<int> dim_dy({2, 65, 65, 12});
+  lite::Tensor dy_tensor(TypeId::kNumberTypeFloat32, dim_dy);
+  dy_tensor.SetData(dy_data);
+
+  // runtime part
+  printf("Calculating runtime cost...\n");
+  uint64_t time_avg = 0;
+  size_t output_data_size =
+    conv_param->output_channel_ * conv_param->kernel_h_ * conv_param->kernel_w_ * conv_param->input_channel_;
+
+  size_t input_size;
+  std::string input_path = "./test_data/deconv/deconvfp32_input0_d2_g2_s2_2_4_32_32.bin";
+  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
+  std::vector<int> dim_x({2, 32, 32, 4});
+  lite::Tensor x_tensor(TypeId::kNumberTypeFloat32, dim_x);
+  x_tensor.SetData(input_data);
+
+  auto dw_data = new float[output_data_size];
+  std::vector<int> dim_dw({6, 3, 3, 4});
+  lite::Tensor dw_tensor(TypeId::kNumberTypeFloat32, dim_dw);
+  dw_tensor.SetData(dw_data);
+  std::vector<lite::Tensor *> inputs = {&dy_tensor, &x_tensor};
+  std::vector<lite::Tensor *> outputs = {&dw_tensor};
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_DeConv2DGradFilter};
+  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
+
+  // warm up loop
+  for (int i = 0; i < 3; i++) {
+    kernel->Run();
+  }
+
+  int loop_count = 100;
+  auto time_start = mindspore::lite::GetTimeUs();
+  for (int i = 0; i < loop_count; i++) {
+    kernel->Run();
+  }
+  auto time_end = mindspore::lite::GetTimeUs();
+  auto cost = time_end - time_start;
+  time_avg = cost / loop_count;
+  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
+
+  std::string output_path = "./test_data/deconv/deconvfp32_dw_d2_g2_s2_6_4_3_3.bin";
+  auto res = lite::CompareRelativeOutput(dw_data, output_path);
+
+  EXPECT_EQ(res, 0);
+
+  delete[] input_data;
+  delete[] dy_data;
+  delete[] dw_data;
+  delete kernel;
+  // delete conv_param;
+  dw_tensor.SetData(nullptr);
+  x_tensor.SetData(nullptr);
+  dy_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
+  MS_LOG(INFO) << "TestDeConvolutionGradFp32 Filter Grad passed";
+}
+
+TEST_F(TestDeConvolutionGradFp32, DeConvFp32Dilation2Group12Stride2FilterGrad) {
+  // prepare stage
+  auto conv_param = static_cast<ConvParameter *>(malloc(sizeof(ConvParameter)));
+  conv_param->input_batch_ = 2;
+  conv_param->input_h_ = 32;
+  conv_param->input_w_ = 32;
+  conv_param->input_channel_ = 12;
+
+  conv_param->output_batch_ = 2;
+  conv_param->output_h_ = 65;
+  conv_param->output_w_ = 65;
+  conv_param->output_channel_ = 12;
+
+  conv_param->kernel_h_ = 3;
+  conv_param->kernel_w_ = 3;
+
+  conv_param->stride_h_ = 2;
+  conv_param->stride_w_ = 2;
+
+  conv_param->dilation_h_ = 2;
+  conv_param->dilation_w_ = 2;
+
+  conv_param->pad_u_ = 1;
+  conv_param->pad_l_ = 1;
+  conv_param->pad_r_ = 1;
+  conv_param->pad_d_ = 1;
+
+  conv_param->group_ = 12;
+  conv_param->act_type_ = ActType_No;
+  conv_param->thread_num_ = 1;
+
+  size_t dy_size;
+  std::string dy_path = "./test_data/deconv/deconvfp32_dy_d2_g12_s2_2_12_65_65.bin";
+  auto dy_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(dy_path.c_str(), &dy_size));
+  std::vector<int> dim_dy({2, 65, 65, 12});
+  lite::Tensor dy_tensor(TypeId::kNumberTypeFloat32, dim_dy);
+  dy_tensor.SetData(dy_data);
+
+  // runtime part
+  printf("Calculating runtime cost...\n");
+  uint64_t time_avg = 0;
+  size_t output_data_size =
+    conv_param->output_channel_ * conv_param->kernel_h_ * conv_param->kernel_w_ * conv_param->input_channel_;
+
+  size_t input_size;
+  std::string input_path = "./test_data/deconv/deconvfp32_input0_d2_g12_s2_2_12_32_32.bin";
+  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
+  std::vector<int> dim_x({2, 32, 32, 12});
+  lite::Tensor x_tensor(TypeId::kNumberTypeFloat32, dim_x);
+  x_tensor.SetData(input_data);
+
+  auto dw_data = new float[output_data_size];
+  std::vector<int> dim_dw({1, 3, 3, 12});
+  lite::Tensor dw_tensor(TypeId::kNumberTypeFloat32, dim_dw);
+  dw_tensor.SetData(dw_data);
+  std::vector<lite::Tensor *> inputs = {&dy_tensor, &x_tensor};
+  std::vector<lite::Tensor *> outputs = {&dw_tensor};
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_DeConv2DGradFilter};
+  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
+  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(conv_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel->GetWorkspaceSize());
+
+  // warm up loop
+  for (int i = 0; i < 3; i++) {
+    kernel->Run();
+  }
+
+  int loop_count = 100;
+  auto time_start = mindspore::lite::GetTimeUs();
+  for (int i = 0; i < loop_count; i++) {
+    kernel->Run();
+  }
+  auto time_end = mindspore::lite::GetTimeUs();
+  auto cost = time_end - time_start;
+  time_avg = cost / loop_count;
+  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
+
+  std::string output_path = "./test_data/deconv/deconvfp32_dw_d2_g12_s2_12_1_3_3.bin";
+  auto res = lite::CompareRelativeOutput(dw_data, output_path);
+
+  EXPECT_EQ(res, 0);
+
+  delete[] input_data;
+  delete[] dy_data;
+  delete[] dw_data;
+  delete kernel;
+  // delete conv_param;
+  dw_tensor.SetData(nullptr);
+  x_tensor.SetData(nullptr);
+  dy_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
+  MS_LOG(INFO) << "TestDeConvolutionGradFp32 Filter Grad passed";
+}
+
+}  // namespace mindspore
diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/network_test.cc b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/network_test.cc
index 03feae94e0..47823dac44 100644
--- a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/network_test.cc
+++ b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/network_test.cc
@@ -26,12 +26,13 @@
 #include "mindspore/lite/include/train_model.h"
 #include "common/common_test.h"
 #include "include/train_session.h"
-// #include "include/lite_session.h"
 #include "include/context.h"
 #include "include/errorcode.h"
 #include "src/common/log_adapter.h"
 #include "src/common/file_utils.h"
 #include "src/common/file_utils_ext.h"
+#include "src/kernel_registry.h"
+#include "src/runtime/kernel/arm/fp32_grad/convolution.h"
 
 namespace mindspore {
 class NetworkTest : public mindspore::CommonTest {
@@ -39,6 +40,9 @@ class NetworkTest : public mindspore::CommonTest {
   NetworkTest() {}
 };
 
+int32_t runNet(mindspore::session::LiteSession *session, const std::string &in, const std::string &out,
+               const char *tensor_name, bool debug = false);
+
 //             INPUT(0)
 //                V
 //        +-------------+
@@ -352,15 +356,13 @@ TEST_F(NetworkTest, tuning_layer) {
   ASSERT_NE(nullptr, model);
   meta_graph.reset();
   content = nullptr;
-  lite::InnerContext context;
+  lite::Context context;
   context.device_type_ = lite::DT_CPU;
   context.cpu_bind_mode_ = lite::NO_BIND;
   context.thread_num_ = 1;
-  ASSERT_EQ(lite::RET_OK, context.Init());
-  auto session = new session::TrainSession();
+  auto session = session::TrainSession::CreateSession(&context);
   ASSERT_NE(nullptr, session);
-  session->Init(&context);
-  auto ret = session->CompileGraph(model);
+  auto ret = session->CompileTrainGraph(model);
   ASSERT_EQ(lite::RET_OK, ret);
   session->Train();
   session->Train();  // Just double check that calling Train twice does not cause a problem
@@ -469,59 +471,67 @@ int32_t fileIterator(mindspore::session::TrainSession *session, const std::strin
 }
 void replaceExt(const std::string &src, std::string *dst) { *dst = src.substr(0, src.find_last_of('.')) + ".emb"; }
 
-int32_t runNet(mindspore::lite::LiteSession *session, const std::string &in, const std::string &out,
-               const char *tensor_name) {
+int32_t runNet(mindspore::session::LiteSession *session, const std::string &in, const std::string &out,
+               const char *tensor_name, bool debug) {
   // setup input
   auto inputs = session->GetInputs();
   auto inTensor = inputs.at(0);
   float *data = reinterpret_cast<float *>(inTensor->MutableData());
-
   size_t input_size;
   float *in_buf = reinterpret_cast<float *>(lite::ReadFile(in.c_str(), &input_size));
   auto input_data = reinterpret_cast<float *>(in_buf);
   std::copy(input_data, input_data + inTensor->ElementsNum(), data);
+  std::cout << "==============Input===========================" << std::endl;
+  for (int i = 0; i < 10; i++) {
+    std::cout << data[i] << ", ";
+  }
+  std::cout << std::endl;
   delete[] in_buf;
 
   // execute network
   session->RunGraph();
-
-  // compare outputs
   auto output = session->GetOutputByTensorName(tensor_name);
-  float *output_data = reinterpret_cast<float *>(output->MutableData());
+  if (output != nullptr) {
+    float *output_data = reinterpret_cast<float *>(output->MutableData());
+    // compare outputs
+    if (debug) {
+      std::cout << "==============Output===========================" << std::endl;
+      for (int i = 0; i < 10; i++) {
+        std::cout << output_data[i] << ", ";
+      }
+      std::cout << std::endl;
+    }
+    return mindspore::lite::CompareRelativeOutput(output_data, out);
+  }
 
-  return mindspore::lite::CompareRelativeOutput(output_data, out);
+  return lite::RET_ERROR;
 }
 
 TEST_F(NetworkTest, efficient_net) {
   char *buf = nullptr;
   size_t net_size = 0;
-  // std::string net = "./test_data/nets/efficientnet_b0_f.ms";
 
   std::string net = "./test_data/nets/effnetb0_fwd_nofuse.ms";
   ReadFile(net.c_str(), &net_size, &buf);
   auto model = lite::TrainModel::Import(buf, net_size);
   delete[] buf;
-  auto context = new lite::InnerContext;
+  auto context = new lite::Context;
   context->device_type_ = lite::DT_CPU;
   context->cpu_bind_mode_ = lite::NO_BIND;
   context->thread_num_ = 1;
-  ASSERT_EQ(lite::RET_OK, context->Init());
 
-  auto session = new mindspore::session::TrainSession();
+  auto session = session::TrainSession::CreateSession(context);
   ASSERT_NE(session, nullptr);
-  auto ret = session->Init(context);
-  ASSERT_EQ(lite::RET_OK, ret);
-  ret = session->CompileGraph(model);
+  auto ret = session->CompileTrainGraph(model);
   ASSERT_EQ(lite::RET_OK, ret);
   session->Eval();
 
   std::string in = "./test_data/nets/effNet_input_x_1_3_224_224.bin";
   std::string out = "./test_data/nets/effNet_output_y_1_1000.bin";
-  auto res = runNet(session, in, out, "631");
-
-  ASSERT_EQ(res, 0);
+  auto res = runNet(session, in, out, "650");
   delete session;
   delete context;
+  ASSERT_EQ(res, 0);
 }
 
 TEST_F(NetworkTest, lenetnet) {
@@ -536,19 +546,105 @@ TEST_F(NetworkTest, lenetnet) {
   context->cpu_bind_mode_ = lite::NO_BIND;
   context->thread_num_ = 1;
 
-  auto session = new mindspore::session::TrainSession();
+  // check registration
+  mindspore::lite::KernelRegistry *reg = mindspore::lite::KernelRegistry::GetInstance();
+  mindspore::kernel::KernelKey desc1 = {mindspore::kernel::KERNEL_ARCH::kCPU, kNumberTypeFloat32,
+                                        mindspore::schema::PrimitiveType_Conv2D};
+  mindspore::kernel::KernelKey desc2 = {mindspore::kernel::KERNEL_ARCH::kCPU, kNumberTypeFloat32,
+                                        mindspore::schema::PrimitiveType_DepthwiseConv2D};
+  auto regb1 = reg->GetCreator(desc1);
+  auto regb2 = reg->GetCreator(desc2);
+  ASSERT_EQ(regb1 == mindspore::kernel::CpuConvTrainFp32KernelCreator, false);
+
+  auto session = session::TrainSession::CreateSession(context);
   ASSERT_NE(session, nullptr);
-  auto ret = session->Init(context);
-  ASSERT_EQ(lite::RET_OK, ret);
-  ret = session->CompileGraph(model);
+  auto ret = session->CompileTrainGraph(model);
   ASSERT_EQ(lite::RET_OK, ret);
-  session->Eval();
 
+  auto rega1 = reg->GetCreator(desc1);
+  auto rega2 = reg->GetCreator(desc2);
+  ASSERT_EQ(regb1, rega1);
+  ASSERT_EQ(regb2, rega2);
+  ASSERT_EQ(rega1 == mindspore::kernel::CpuConvTrainFp32KernelCreator, false);
+  // end of check registration
+
+  session->Eval();
   std::string in = "./test_data/nets/x_lenet.bin";
   std::string out = "./test_data/nets/y_lenet.bin";
   auto res = runNet(session, in, out, "24");
+  delete session;
+  delete context;
+  ASSERT_EQ(res, 0);
+}
+#if 0
+TEST_F(NetworkTest, retina_net) {
+  char *buf = nullptr;
+  size_t net_size = 0;
+
+  std::string net = "./test_data/nets/retinaface1009.ms";
+  ReadFile(net.c_str(), &net_size, &buf);
+  // auto model = lite::TrainModel::Import(buf, net_size);
+  auto model = lite::Model::Import(buf, net_size);
+  delete[] buf;
+  auto context = new lite::Context;
+  context->device_type_ = lite::DT_CPU;
+  context->cpu_bind_mode_ = lite::NO_BIND;
+  context->thread_num_ = 1;
+
+  // auto session = session::TrainSession::CreateSession(context);
+  auto session = session::LiteSession::CreateSession(context);
+  ASSERT_NE(session, nullptr);
+  auto ret = session->CompileGraph(model);
+  ASSERT_EQ(lite::RET_OK, ret);
+  // session->Eval();
+
+  std::string in = "./test_data/nets/retinaface_input.f32";
+  std::cout << "----- Output 0 -----" << std::endl;
+  std::string out = "./test_data/nets/retinaface_out_0.f32";
+  auto res = runNet(session, in, out, "448", true);
+  ASSERT_EQ(res, 0);
+
+  std::cout << "----- Output 1 -----" << std::endl;
+  out = "./test_data/nets/retinaface_out_1.f32";
+  res = runNet(session, in, out, "435", true);
+  ASSERT_EQ(res, 0);
+
+  std::cout << "----- Output 2 -----" << std::endl;
+  out = "./test_data/nets/retinaface_out_2.f32";
+  res = runNet(session, in, out, "421", true);
+  ASSERT_EQ(res, 0);
+
+  delete session;
+  delete context;
+}
+#endif
+TEST_F(NetworkTest, mobileface_net) {
+  char *buf = nullptr;
+  size_t net_size = 0;
+
+  std::string net = "./test_data/nets/mobilefacenet0924.ms";
+  ReadFile(net.c_str(), &net_size, &buf);
+  // auto model = lite::TrainModel::Import(buf, net_size);
+  auto model = lite::Model::Import(buf, net_size);
+  delete[] buf;
+  auto context = new lite::Context;
+  context->device_type_ = lite::DT_CPU;
+  context->cpu_bind_mode_ = lite::NO_BIND;
+  context->thread_num_ = 1;
+
+  // auto session = session::TrainSession::CreateSession(context);
+  auto session = session::LiteSession::CreateSession(context);
+  ASSERT_NE(session, nullptr);
+  auto ret = session->CompileGraph(model);
+  ASSERT_EQ(lite::RET_OK, ret);
+  // session->Eval();
+
+  std::string in = "./test_data/nets/facenet_input.f32";
+  std::string out = "./test_data/nets/facenet_output.f32";
+  auto res = runNet(session, in, out, "354", true);
 
   ASSERT_EQ(res, 0);
+  delete model;
   delete session;
   delete context;
 }
diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/pooling_grad_fp32_tests.cc b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/pooling_grad_fp32_tests.cc
index 2ae6ec1af5..b1e90b8f9d 100644
--- a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/pooling_grad_fp32_tests.cc
+++ b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/pooling_grad_fp32_tests.cc
@@ -20,12 +20,12 @@
 #include "mindspore/lite/include/context.h"
 #include "src/common/log_adapter.h"
 #include "common/common_test.h"
-#include "mindspore/lite/src/kernel_registry.h"
 #include "src/common/utils.h"
 #include "src/common/file_utils.h"
 #include "src/common/file_utils_ext.h"
-#include "src/runtime/kernel/arm/fp32_grad/pooling_grad.h"
 #include "nnacl/fp32_grad/pooling_grad.h"
+#include "src/runtime/kernel/arm/fp32_grad/pooling_grad.h"
+#include "mindspore/lite/src/kernel_registry.h"
 
 namespace mindspore {
 class TestPoolingGradFp32 : public mindspore::CommonTest {
@@ -78,13 +78,13 @@ TEST_F(TestPoolingGradFp32, AvgPoolingGradFp32) {
   auto output_data = new float[output_data_size];
   // warm up loop
   for (int i = 0; i < 3; i++) {
-    AvgPoolingGrad(input_data, output_data, pooling_param);
+    AvgPoolingGrad(input_data, output_data, pooling_param, 1);
   }
 
   int loop_count = 100;
   auto time_start = mindspore::lite::GetTimeUs();
   for (int i = 0; i < loop_count; i++) {
-    AvgPoolingGrad(input_data, output_data, pooling_param);
+    AvgPoolingGrad(input_data, output_data, pooling_param, 1);
   }
   auto time_end = mindspore::lite::GetTimeUs();
   auto cost = time_end - time_start;
@@ -140,10 +140,14 @@ TEST_F(TestPoolingGradFp32, AvgPoolingKernelGradFp32) {
   dx_tensor.SetData(output_data);
   std::vector<lite::Tensor *> outputs = {&dx_tensor};
 
-  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_PoolingGrad};
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
 
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_PoolingGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(pooling_param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(pooling_param), &context, desc, nullptr);
 
   kernel_obj->Run();
 
@@ -201,10 +205,14 @@ TEST_F(TestPoolingGradFp32, AvgPoolingBatchGradFp32) {
   auto output_data = reinterpret_cast<float *>(dx_tensor.MutableData());
   std::vector<lite::Tensor *> outputs = {&dx_tensor};
 
-  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_PoolingGrad};
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
 
+  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_PoolingGrad};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(pooling_param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(pooling_param), &context, desc, nullptr);
 
   kernel_obj->Run();
 
@@ -259,17 +267,22 @@ TEST_F(TestPoolingGradFp32, AvgPoolGradStride2Fp32) {
   float *out_data = static_cast<float *>(out_tensor.MutableData());
   std::vector<lite::Tensor *> inputs = {&yt_tensor, &x_tensor};
   std::vector<lite::Tensor *> outputs = {&out_tensor};
-  // ----------------------------------------
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey pool_desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_PoolingGrad};
   auto pool_creator = lite::KernelRegistry::GetInstance()->GetCreator(pool_desc);
-  auto kernel = pool_creator(inputs, outputs, reinterpret_cast<OpParameter *>(pool), NULL, pool_desc, nullptr);
+  auto kernel = pool_creator(inputs, outputs, reinterpret_cast<OpParameter *>(pool), &context, pool_desc, nullptr);
 
   kernel->Init();
 
   auto time_start = mindspore::lite::GetTimeUs();
   kernel->Run();
   auto time_end = mindspore::lite::GetTimeUs();
-  printf("single thread running time : %llu ms\n", time_end - time_start);
+  printf("single thread running time : %lu ms\n", time_end - time_start);
 
   std::string output_path = "./test_data/pooling/avgpoolgradfp32_s2_dx_3_28_28_3.bin";
   auto res = lite::CompareRelativeOutput(out_data, output_path);
@@ -319,17 +332,22 @@ TEST_F(TestPoolingGradFp32, AvgPoolGradStride3Fp32) {
 
   std::vector<lite::Tensor *> inputs = {&yt_tensor, &x_tensor};
   std::vector<lite::Tensor *> outputs = {&out_tensor};
-  // ----------------------------------------
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey pool_desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_PoolingGrad};
   auto pool_creator = lite::KernelRegistry::GetInstance()->GetCreator(pool_desc);
-  auto kernel = pool_creator(inputs, outputs, reinterpret_cast<OpParameter *>(pool), NULL, pool_desc, nullptr);
+  auto kernel = pool_creator(inputs, outputs, reinterpret_cast<OpParameter *>(pool), &context, pool_desc, nullptr);
 
   kernel->Init();
 
   auto time_start = mindspore::lite::GetTimeUs();
   kernel->Run();
   auto time_end = mindspore::lite::GetTimeUs();
-  printf("single thread running time : %llu ms\n", time_end - time_start);
+  printf("single thread running time : %lu ms\n", time_end - time_start);
 
   std::string output_path = "./test_data/pooling/avgpoolgradfp32_s3_dx_3_28_28_3.bin";
   auto res = lite::CompareRelativeOutput(out_data, output_path);
@@ -371,13 +389,13 @@ TEST_F(TestPoolingGradFp32, MaxPoolingGradFp32) {
   auto output_data = new float[output_data_size];
   // warm up loop
   for (int i = 0; i < 3; i++) {
-    MaxPoolingGrad(in_data, dx_data, dy_data, output_data, pooling_param);
+    MaxPoolingGrad(in_data, dx_data, dy_data, output_data, pooling_param, 1);
   }
 
   int loop_count = 100;
   auto time_start = mindspore::lite::GetTimeUs();
   for (int i = 0; i < loop_count; i++) {
-    MaxPoolingGrad(in_data, dx_data, dy_data, output_data, pooling_param);
+    MaxPoolingGrad(in_data, dx_data, dy_data, output_data, pooling_param, 1);
   }
   auto time_end = mindspore::lite::GetTimeUs();
   auto cost = time_end - time_start;
@@ -435,10 +453,15 @@ TEST_F(TestPoolingGradFp32, MaxPoolGradBatchFp32) {
   auto out_data = static_cast<float *>(out_tensor.MutableData());
   std::vector<lite::Tensor *> maxpool_inputs = {&x_tensor, &y_tensor, &yt_tensor};
   std::vector<lite::Tensor *> maxpool_outputs = {&out_tensor};
-  // ----------------------------------------
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey maxpool_desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_PoolingGrad};
   auto maxpool_creator = lite::KernelRegistry::GetInstance()->GetCreator(maxpool_desc);
-  auto kernel = maxpool_creator(maxpool_inputs, maxpool_outputs, reinterpret_cast<OpParameter *>(maxpool), NULL,
+  auto kernel = maxpool_creator(maxpool_inputs, maxpool_outputs, reinterpret_cast<OpParameter *>(maxpool), &context,
                                 maxpool_desc, nullptr);
 
   kernel->Init();
@@ -446,7 +469,7 @@ TEST_F(TestPoolingGradFp32, MaxPoolGradBatchFp32) {
   auto time_start = mindspore::lite::GetTimeUs();
   kernel->Run();
   auto time_end = mindspore::lite::GetTimeUs();
-  printf("single thread running time : %llu ms\n", time_end - time_start);
+  printf("single thread running time : %lu ms\n", time_end - time_start);
 
   std::string output_path = "./test_data/pooling/maxpoolgradfp32_1_xgrad_3_28_28_3.bin";
   auto res = lite::CompareRelativeOutput(out_data, output_path);
@@ -505,10 +528,15 @@ TEST_F(TestPoolingGradFp32, MaxPoolGradStride2Fp32) {
 
   std::vector<lite::Tensor *> maxpool_inputs = {&x_tensor, &y_tensor, &yt_tensor};
   std::vector<lite::Tensor *> maxpool_outputs = {&out_tensor};
-  // ----------------------------------------
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey maxpool_desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_PoolingGrad};
   auto maxpool_creator = lite::KernelRegistry::GetInstance()->GetCreator(maxpool_desc);
-  auto kernel = maxpool_creator(maxpool_inputs, maxpool_outputs, reinterpret_cast<OpParameter *>(maxpool), NULL,
+  auto kernel = maxpool_creator(maxpool_inputs, maxpool_outputs, reinterpret_cast<OpParameter *>(maxpool), &context,
                                 maxpool_desc, nullptr);
 
   kernel->Init();
@@ -516,7 +544,7 @@ TEST_F(TestPoolingGradFp32, MaxPoolGradStride2Fp32) {
   auto time_start = mindspore::lite::GetTimeUs();
   kernel->Run();
   auto time_end = mindspore::lite::GetTimeUs();
-  printf("single thread running time : %llu ms\n", time_end - time_start);
+  printf("single thread running time : %lu ms\n", time_end - time_start);
 
   std::string output_path = "./test_data/pooling/maxpoolgradfp32_s2_xgrad_3_28_28_3.bin";
   auto res = lite::CompareRelativeOutput(out_data, output_path);
@@ -575,10 +603,15 @@ TEST_F(TestPoolingGradFp32, MaxPoolGradStride3Fp32) {
 
   std::vector<lite::Tensor *> maxpool_inputs = {&x_tensor, &y_tensor, &yt_tensor};
   std::vector<lite::Tensor *> maxpool_outputs = {&out_tensor};
-  // ----------------------------------------
+
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey maxpool_desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_PoolingGrad};
   auto maxpool_creator = lite::KernelRegistry::GetInstance()->GetCreator(maxpool_desc);
-  auto kernel = maxpool_creator(maxpool_inputs, maxpool_outputs, reinterpret_cast<OpParameter *>(maxpool), NULL,
+  auto kernel = maxpool_creator(maxpool_inputs, maxpool_outputs, reinterpret_cast<OpParameter *>(maxpool), &context,
                                 maxpool_desc, nullptr);
 
   kernel->Init();
@@ -586,7 +619,7 @@ TEST_F(TestPoolingGradFp32, MaxPoolGradStride3Fp32) {
   auto time_start = mindspore::lite::GetTimeUs();
   kernel->Run();
   auto time_end = mindspore::lite::GetTimeUs();
-  printf("single thread running time : %llu ms\n", time_end - time_start);
+  printf("single thread running time : %lu ms\n", time_end - time_start);
 
   std::string output_path = "./test_data/pooling/maxpoolgradfp32_s3_xgrad_3_28_28_3.bin";
   auto res = lite::CompareRelativeOutput(out_data, output_path);
diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/softmax_crossentropy_fp32_tests.cc b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/softmax_crossentropy_fp32_tests.cc
index 26b2abf277..650d5be587 100644
--- a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/softmax_crossentropy_fp32_tests.cc
+++ b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/softmax_crossentropy_fp32_tests.cc
@@ -59,9 +59,15 @@ TEST_F(TestSoftmaxCrossEntropyFp32, SoftmaxCrossEntropyFp32) {
   grad_tensor.SetData(grad);
   std::vector<lite::Tensor *> outputs = {&loss_tensor, &grad_tensor};
 
+  lite::InnerContext context;
+  context.device_type_ = lite::DT_CPU;
+  context.thread_num_ = 1;
+  ASSERT_EQ(lite::RET_OK, context.Init());
+
   kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_SoftmaxCrossEntropy};
   auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(sce_param), NULL, desc, nullptr);
+  auto kernel_obj = creator(inputs, outputs, reinterpret_cast<OpParameter *>(sce_param), &context, desc, nullptr);
+  mindspore::kernel::LiteKernel::AllocWorkspace(kernel_obj->GetWorkspaceSize());
   kernel_obj->Run();
 
   printf("==================total loss=================\n");
@@ -92,6 +98,7 @@ TEST_F(TestSoftmaxCrossEntropyFp32, SoftmaxCrossEntropyFp32) {
   y_tensor.SetData(nullptr);
   loss_tensor.SetData(nullptr);
   grad_tensor.SetData(nullptr);
+  mindspore::kernel::LiteKernel::FreeWorkspace();
   delete kernel_obj;
   MS_LOG(INFO) << "SoftmaxCrossEntropyFp32 passed";
 }
diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/softmax_grad_fp32_tests.cc b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/softmax_grad_fp32_tests.cc
index ad9914cf91..b8164b2af7 100644
--- a/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/softmax_grad_fp32_tests.cc
+++ b/mindspore/lite/test/ut/src/runtime/kernel/arm/fp32_grad/softmax_grad_fp32_tests.cc
@@ -21,13 +21,12 @@
 #include "mindspore/lite/include/context.h"
 #include "src/common/log_adapter.h"
 #include "common/common_test.h"
-#include "mindspore/lite/src/kernel_registry.h"
 #include "src/common/utils.h"
 #include "src/common/file_utils.h"
 #include "src/common/file_utils_ext.h"
-
 #include "mindspore/lite/src/runtime/kernel/arm/fp32_grad/softmax_grad.h"
 #include "mindspore/lite/nnacl/fp32_grad/softmax_grad.h"
+#include "mindspore/lite/src/kernel_registry.h"
 
 namespace mindspore {
 class TestSoftmaxGradFp32 : public mindspore::CommonTest {
@@ -55,348 +54,6 @@ void InitSoftMaxParam(SoftmaxParameter *softmax_param, int axis, int n, int c, i
   softmax_param->input_shape_[3] = w;
 }
 
-#if 0   // kernel testing
-TEST_F(TestSoftmaxGradFp32, SoftmaxGradKernelAxis0) {
-  auto softmax_param = reinterpret_cast<SoftmaxParameter *>(malloc(sizeof(SoftmaxParameter)));
-  // set parameters
-  InitSoftMaxParam(softmax_param, 0);
-
-  std::vector<int> shape = {1, 9, 11, 12};
-  size_t input_size;
-  std::string input_path = "./test_data/softmax/softmaxgrad_yinput.bin";
-  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
-  lite::tensor::Tensor input_tensor(TypeId::kNumberTypeFloat32, shape);
-  input_tensor.SetData(input_data);
-
-  std::string yt_path = "./test_data/softmax/softmaxgrad_yt_input.bin";
-  auto yt_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(yt_path.c_str(), &input_size));
-  lite::tensor::Tensor yt_tensor(TypeId::kNumberTypeFloat32, shape);
-  yt_tensor.SetData(yt_data);
-
-  // runtime part
-  printf("Calculating runtime cost...\n");
-  uint64_t time_avg = 0;
-
-  auto out_data = new float[softmax_param->element_size_];
-  lite::tensor::Tensor out_tensor(TypeId::kNumberTypeFloat32, shape);
-  out_tensor.SetData(out_data);
-
-  std::vector<lite::tensor::Tensor *> inputs = {&input_tensor, &yt_tensor};
-  std::vector<lite::tensor::Tensor *> outputs = {&out_tensor};
-
-  // float sum_data[6];
-  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_SoftMaxGrad};
-  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(softmax_param), NULL, desc, nullptr);
-
-  kernel->Init();
-
-  // warm up loop
-  for (int i = 0; i < 3; i++) {
-    kernel->Run();
-  }
-
-  int loop_count = 3;
-  auto time_start = mindspore::lite::GetTimeUs();
-  for (int i = 0; i < loop_count; i++) {
-    kernel->Run();
-  }
-  auto time_end = mindspore::lite::GetTimeUs();
-  auto cost = time_end - time_start;
-  time_avg = cost / loop_count;
-  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
-
-  std::string output_path = "./test_data/softmax/softmaxgrad_out.bin";
-  // auto output_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
-
-  auto res = lite::CompareRelativeOutput(out_data, output_path);
-  EXPECT_EQ(res, 0);
-
-  delete[] input_data;
-  delete[] yt_data;
-  delete[] out_data;
-  input_tensor.SetData(nullptr);
-  yt_tensor.SetData(nullptr);
-  out_tensor.SetData(nullptr);
-  delete kernel;
-  // delete softmax_param;
-
-  MS_LOG(INFO) << "SoftmaxGradKernelAxis0 passed";
-}
-
-TEST_F(TestSoftmaxGradFp32, SoftmaxGradKernelAxis1) {
-  auto softmax_param = reinterpret_cast<SoftmaxParameter *>(malloc(sizeof(SoftmaxParameter)));
-  // set parameters
-  InitSoftMaxParam(softmax_param, 1);
-
-  std::vector<int> shape = {1, 9, 11, 12};
-  size_t input_size;
-  std::string input_path = "./test_data/softmax/softmaxgrad_1_yinput.bin";
-  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
-  lite::tensor::Tensor input_tensor(TypeId::kNumberTypeFloat32, shape);
-  input_tensor.SetData(input_data);
-
-  std::string yt_path = "./test_data/softmax/softmaxgrad_1_yt_input.bin";
-  auto yt_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(yt_path.c_str(), &input_size));
-  lite::tensor::Tensor yt_tensor(TypeId::kNumberTypeFloat32, shape);
-  yt_tensor.SetData(yt_data);
-
-  // runtime part
-  printf("Calculating runtime cost...\n");
-  uint64_t time_avg = 0;
-
-  auto out_data = new float[softmax_param->element_size_];
-  lite::tensor::Tensor out_tensor(TypeId::kNumberTypeFloat32, shape);
-  out_tensor.SetData(out_data);
-
-  std::vector<lite::tensor::Tensor *> inputs = {&input_tensor, &yt_tensor};
-  std::vector<lite::tensor::Tensor *> outputs = {&out_tensor};
-
-  // float sum_data[6];
-  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_SoftMaxGrad};
-  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(softmax_param), NULL, desc, nullptr);
-
-  kernel->Init();
-
-  // warm up loop
-  for (int i = 0; i < 3; i++) {
-    kernel->Run();
-  }
-
-  int loop_count = 3;
-  auto time_start = mindspore::lite::GetTimeUs();
-  for (int i = 0; i < loop_count; i++) {
-    kernel->Run();
-  }
-  auto time_end = mindspore::lite::GetTimeUs();
-  auto cost = time_end - time_start;
-  time_avg = cost / loop_count;
-  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
-
-  std::string output_path = "./test_data/softmax/softmaxgrad_1_out.bin";
-  // auto output_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
-
-  auto res = lite::CompareRelativeOutput(out_data, output_path);
-  EXPECT_EQ(res, 0);
-
-  delete[] input_data;
-  delete[] yt_data;
-  delete[] out_data;
-  input_tensor.SetData(nullptr);
-  yt_tensor.SetData(nullptr);
-  out_tensor.SetData(nullptr);
-  delete kernel;
-  // delete softmax_param;
-
-  MS_LOG(INFO) << "SoftmaxGradKernelAxis1 passed";
-}
-
-TEST_F(TestSoftmaxGradFp32, SoftmaxGradKernelAxis2) {
-  auto softmax_param = reinterpret_cast<SoftmaxParameter *>(malloc(sizeof(SoftmaxParameter)));
-  // set parameters
-  InitSoftMaxParam(softmax_param, 2);
-
-  std::vector<int> shape = {1, 9, 11, 12};
-  size_t input_size;
-  std::string input_path = "./test_data/softmax/softmaxgrad_2_yinput.bin";
-  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
-  lite::tensor::Tensor input_tensor(TypeId::kNumberTypeFloat32, shape);
-  input_tensor.SetData(input_data);
-
-  std::string yt_path = "./test_data/softmax/softmaxgrad_2_yt_input.bin";
-  auto yt_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(yt_path.c_str(), &input_size));
-  lite::tensor::Tensor yt_tensor(TypeId::kNumberTypeFloat32, shape);
-  yt_tensor.SetData(yt_data);
-
-  // runtime part
-  printf("Calculating runtime cost...\n");
-  uint64_t time_avg = 0;
-
-  auto out_data = new float[softmax_param->element_size_];
-  lite::tensor::Tensor out_tensor(TypeId::kNumberTypeFloat32, shape);
-  out_tensor.SetData(out_data);
-
-  std::vector<lite::tensor::Tensor *> inputs = {&input_tensor, &yt_tensor};
-  std::vector<lite::tensor::Tensor *> outputs = {&out_tensor};
-
-  // float sum_data[6];
-  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_SoftMaxGrad};
-  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(softmax_param), NULL, desc, nullptr);
-
-  kernel->Init();
-
-  // warm up loop
-  for (int i = 0; i < 3; i++) {
-    kernel->Run();
-  }
-
-  int loop_count = 3;
-  auto time_start = mindspore::lite::GetTimeUs();
-  for (int i = 0; i < loop_count; i++) {
-    kernel->Run();
-  }
-  auto time_end = mindspore::lite::GetTimeUs();
-  auto cost = time_end - time_start;
-  time_avg = cost / loop_count;
-  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
-
-  std::string output_path = "./test_data/softmax/softmaxgrad_2_out.bin";
-  // auto output_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
-
-  auto res = lite::CompareRelativeOutput(out_data, output_path);
-  EXPECT_EQ(res, 0);
-
-  delete[] input_data;
-  delete[] yt_data;
-  delete[] out_data;
-  input_tensor.SetData(nullptr);
-  yt_tensor.SetData(nullptr);
-  out_tensor.SetData(nullptr);
-  delete kernel;
-  // delete softmax_param;
-
-  MS_LOG(INFO) << "SoftmaxGradKernelAxis2 passed";
-}
-
-TEST_F(TestSoftmaxGradFp32, SoftmaxGradKernelAxis3) {
-  auto softmax_param = reinterpret_cast<SoftmaxParameter *>(malloc(sizeof(SoftmaxParameter)));
-  // set parameters
-  InitSoftMaxParam(softmax_param, 3);
-
-  std::vector<int> shape = {1, 9, 11, 12};
-  size_t input_size;
-  std::string input_path = "./test_data/softmax/softmaxgrad_3_yinput.bin";
-  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
-  lite::tensor::Tensor input_tensor(TypeId::kNumberTypeFloat32, shape);
-  input_tensor.SetData(input_data);
-
-  std::string yt_path = "./test_data/softmax/softmaxgrad_3_yt_input.bin";
-  auto yt_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(yt_path.c_str(), &input_size));
-  lite::tensor::Tensor yt_tensor(TypeId::kNumberTypeFloat32, shape);
-  yt_tensor.SetData(yt_data);
-
-  // runtime part
-  printf("Calculating runtime cost...\n");
-  uint64_t time_avg = 0;
-
-  auto out_data = new float[softmax_param->element_size_];
-  lite::tensor::Tensor out_tensor(TypeId::kNumberTypeFloat32, shape);
-  out_tensor.SetData(out_data);
-
-  std::vector<lite::tensor::Tensor *> inputs = {&input_tensor, &yt_tensor};
-  std::vector<lite::tensor::Tensor *> outputs = {&out_tensor};
-
-  // float sum_data[6];
-  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_SoftMaxGrad};
-  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(softmax_param), NULL, desc, nullptr);
-
-  kernel->Init();
-
-  // warm up loop
-  for (int i = 0; i < 3; i++) {
-    kernel->Run();
-  }
-
-  int loop_count = 3;
-  auto time_start = mindspore::lite::GetTimeUs();
-  for (int i = 0; i < loop_count; i++) {
-    kernel->Run();
-  }
-  auto time_end = mindspore::lite::GetTimeUs();
-  auto cost = time_end - time_start;
-  time_avg = cost / loop_count;
-  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
-
-  std::string output_path = "./test_data/softmax/softmaxgrad_3_out.bin";
-  // auto output_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
-
-  auto res = lite::CompareRelativeOutput(out_data, output_path);
-  EXPECT_EQ(res, 0);
-
-  delete[] input_data;
-  delete[] yt_data;
-  delete[] out_data;
-  input_tensor.SetData(nullptr);
-  yt_tensor.SetData(nullptr);
-  out_tensor.SetData(nullptr);
-  delete kernel;
-  // delete softmax_param;
-
-  MS_LOG(INFO) << "SoftmaxGradKernelAxis3 passed";
-}
-
-TEST_F(TestSoftmaxGradFp32, SoftmaxGradKernelAxisMinus1) {
-  auto softmax_param = reinterpret_cast<SoftmaxParameter *>(malloc(sizeof(SoftmaxParameter)));
-  // set parameters
-  InitSoftMaxParam(softmax_param, -1);
-
-  std::vector<int> shape = {1, 9, 11, 12};
-  size_t input_size;
-  std::string input_path = "./test_data/softmax/softmaxgrad_-1_yinput.bin";
-  auto input_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
-  lite::tensor::Tensor input_tensor(TypeId::kNumberTypeFloat32, shape);
-  input_tensor.SetData(input_data);
-
-  std::string yt_path = "./test_data/softmax/softmaxgrad_-1_yt_input.bin";
-  auto yt_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(yt_path.c_str(), &input_size));
-  lite::tensor::Tensor yt_tensor(TypeId::kNumberTypeFloat32, shape);
-  yt_tensor.SetData(yt_data);
-
-  // runtime part
-  printf("Calculating runtime cost...\n");
-  uint64_t time_avg = 0;
-
-  auto out_data = new float[softmax_param->element_size_];
-  lite::tensor::Tensor out_tensor(TypeId::kNumberTypeFloat32, shape);
-  out_tensor.SetData(out_data);
-
-  std::vector<lite::tensor::Tensor *> inputs = {&input_tensor, &yt_tensor};
-  std::vector<lite::tensor::Tensor *> outputs = {&out_tensor};
-
-  // float sum_data[6];
-  kernel::KernelKey desc = {kernel::kCPU, TypeId::kNumberTypeFloat32, schema::PrimitiveType_SoftMaxGrad};
-  auto creator = lite::KernelRegistry::GetInstance()->GetCreator(desc);
-  auto kernel = creator(inputs, outputs, reinterpret_cast<OpParameter *>(softmax_param), NULL, desc, nullptr);
-
-  kernel->Init();
-
-  // warm up loop
-  for (int i = 0; i < 3; i++) {
-    kernel->Run();
-  }
-
-  int loop_count = 3;
-  auto time_start = mindspore::lite::GetTimeUs();
-  for (int i = 0; i < loop_count; i++) {
-    kernel->Run();
-  }
-  auto time_end = mindspore::lite::GetTimeUs();
-  auto cost = time_end - time_start;
-  time_avg = cost / loop_count;
-  printf("single thread running time : %f ms\n", time_avg / 1000.0f);
-
-  std::string output_path = "./test_data/softmax/softmaxgrad_-1_out.bin";
-  // auto output_data = reinterpret_cast<float *>(mindspore::lite::ReadFile(input_path.c_str(), &input_size));
-
-  auto res = lite::CompareRelativeOutput(out_data, output_path);
-  EXPECT_EQ(res, 0);
-
-  delete[] input_data;
-  delete[] yt_data;
-  delete[] out_data;
-  input_tensor.SetData(nullptr);
-  yt_tensor.SetData(nullptr);
-  out_tensor.SetData(nullptr);
-  delete kernel;
-  // delete softmax_param;
-
-  MS_LOG(INFO) << "SoftmaxGradKernelAxisMinus1 passed";
-}
-#endif  // kernel testing
-
 TEST_F(TestSoftmaxGradFp32, SoftmaxGradAxis0) {
   auto softmax_param = new SoftmaxParameter();
   // set parameters
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diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/test_data/deconv/deconvfp32_dw_d2_g3_3_3_3_3.bin b/mindspore/lite/test/ut/src/runtime/kernel/arm/test_data/deconv/deconvfp32_dw_d2_g3_3_3_3_3.bin
new file mode 100644
index 0000000000..db06ca5601
--- /dev/null
+++ b/mindspore/lite/test/ut/src/runtime/kernel/arm/test_data/deconv/deconvfp32_dw_d2_g3_3_3_3_3.bin
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diff --git a/mindspore/lite/test/ut/src/runtime/kernel/arm/test_data/nets/y_lenet.bin b/mindspore/lite/test/ut/src/runtime/kernel/arm/test_data/nets/y_lenet.bin
index 8d80a38f0a..8c409c756c 100644
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diff --git a/mindspore/lite/tools/anf_exporter/anf_exporter.cc b/mindspore/lite/tools/anf_exporter/anf_exporter.cc
index 330c1c12a4..405dfddbbb 100644
--- a/mindspore/lite/tools/anf_exporter/anf_exporter.cc
+++ b/mindspore/lite/tools/anf_exporter/anf_exporter.cc
@@ -206,12 +206,11 @@ schema::MetaGraphT *AnfExporter::Export(const FuncGraphPtr &func_graph, bool kee
       ret = RET_MEMORY_FAILED;
       break;
     }
-    if (primitive_c->Type() == schema::PrimitiveType_TupleGetItem ||
-        primitive_c->Type() == schema::PrimitiveType_MakeTuple
+    if ((primitive_c->Type() == schema::PrimitiveType_TupleGetItem) ||
 #ifdef SUPPORT_TRAIN
-        || primitive_c->Type() == schema::PrimitiveType_Depend
+        (primitive_c->Type() == schema::PrimitiveType_Depend) ||
 #endif
-    ) {
+        (primitive_c->Type() == schema::PrimitiveType_MakeTuple)) {
       continue;
     }
     RemoveIfMakeTuple(cnode);
@@ -273,6 +272,7 @@ schema::MetaGraphT *AnfExporter::Export(const FuncGraphPtr &func_graph, bool kee
 int AnfExporter::ConvertInputCNode(const std::shared_ptr<AnfNode> input_anode, schema::CNodeT *output_cnode) {
   std::string input_name = input_anode->fullname_with_scope();
   auto input_cnode = utils::cast<CNodePtr>(input_anode);
+
   if (!IsPrimitiveCNode(input_cnode, schema::PrimitiveType_TupleGetItem)) {
     if (node_id_map_.find(input_name) != node_id_map_.end()) {
       output_cnode->inputIndex.emplace_back(node_id_map_[input_name]);
@@ -298,8 +298,17 @@ int AnfExporter::ConvertInputCNode(const std::shared_ptr<AnfNode> input_anode, s
       get_item_input_cnode->fullname_with_scope() + "_o:" + std::to_string(GetValue<int>(value_node->value()));
     auto iter = node_id_map_.find(input_index_key);
     if (iter == node_id_map_.end()) {
-      MS_LOG(ERROR) << "Can not find get_item output tensor";
+#ifdef SUPPORT_TRAIN
+      input_index_key = get_item_input_cnode->fullname_with_scope() + "_o:" + std::to_string(0);  // try name with 0
+      iter = node_id_map_.find(input_index_key);
+      if (iter == node_id_map_.end()) {
+        MS_LOG(ERROR) << "Can not find get_item output tensor" << input_index_key;
+        return RET_ERROR;
+      }
+#else
+      MS_LOG(ERROR) << "Can not find get_item output tensor" << input_index_key;
       return RET_ERROR;
+#endif
     }
     output_cnode->inputIndex.emplace_back(iter->second);
   }
@@ -341,6 +350,7 @@ int AnfExporter::ConvertInputParameter(const std::shared_ptr<AnfNode> input_anod
     paramTensor->format = schema::Format(paramValue->format());
     memcpy(paramTensor->data.data(), paramValue->tensor_addr(), paramValue->tensor_size());
   }
+
   node_id_map_[input_name] = meta_graphT->allTensors.size();
   output_cnode->inputIndex.emplace_back(meta_graphT->allTensors.size());
   meta_graphT->allTensors.emplace_back(std::move(paramTensor));
@@ -490,6 +500,14 @@ void AnfExporter::SetOpOutputNode(const CNodePtr &cnode, const std::unique_ptr<s
       auto msTensor = new schema::TensorT();
       msTensor->nodeType = schema::NodeType_CNode;
       fb_node->outputIndex.emplace_back(meta_graphT->allTensors.size());
+#ifdef SUPPORT_TRAIN
+      std::string name = cnode_name + "_o:" + std::to_string(i);
+      node_id_map_[name] = meta_graphT->allTensors.size();
+      meta_graphT->allTensors.emplace_back(msTensor);
+      if (IsPrimitiveCNode(cnode, schema::PrimitiveType_Conv2D) ||
+          IsPrimitiveCNode(cnode, schema::PrimitiveType_DepthwiseConv2D))
+        break;
+#else
       if (tuple->size() == 1) {
         node_id_map_[cnode_name] = meta_graphT->allTensors.size();
       } else {
@@ -502,6 +520,7 @@ void AnfExporter::SetOpOutputNode(const CNodePtr &cnode, const std::unique_ptr<s
           IsPrimitiveCNode(cnode, schema::PrimitiveType_FusedBatchNorm)) {
         break;
       }
+#endif
     }
   } else {
     auto ms_tensor = new schema::TensorT();
diff --git a/mindspore/lite/tools/common/node_util.cc b/mindspore/lite/tools/common/node_util.cc
index 9b5c452e45..02b9a4d2a7 100644
--- a/mindspore/lite/tools/common/node_util.cc
+++ b/mindspore/lite/tools/common/node_util.cc
@@ -33,7 +33,7 @@ static const std::vector<schema::PrimitiveType> nhwcOpList = {
   schema::PrimitiveType_BNGrad,
   schema::PrimitiveType_ActivationGrad,
   schema::PrimitiveType_ApplyMomentum,
-
+  schema::PrimitiveType_Sgd,
 #endif
   schema::PrimitiveType_Conv2D,
   schema::PrimitiveType_DeConv2D,
@@ -48,7 +48,7 @@ static const std::vector<schema::PrimitiveType> nhwcOpList = {
 
 static const std::vector<schema::PrimitiveType> nhwcOpDualInputList = {
 #ifdef SUPPORT_TRAIN
-  schema::PrimitiveType_Conv2DGradFilter
+  schema::PrimitiveType_Conv2DGradFilter, schema::PrimitiveType_BNGrad
 #endif
 };
 
diff --git a/mindspore/lite/tools/converter/graphdef_transform.cc b/mindspore/lite/tools/converter/graphdef_transform.cc
index aa0231018a..9a6b0d4451 100644
--- a/mindspore/lite/tools/converter/graphdef_transform.cc
+++ b/mindspore/lite/tools/converter/graphdef_transform.cc
@@ -108,7 +108,9 @@ int GraphDefTransform::Transform(const converter::Flags &ctx) {
   // postconvert pass
   {
     Optimizer fusionOptimizer;
-    fusionOptimizer.AddPass(new (std::nothrow) BatchNormConvertScalePass());
+    if (ctx.trainModel == false) {
+      fusionOptimizer.AddPass(new (std::nothrow) BatchNormConvertScalePass());
+    }
     fusionOptimizer.AddPass(new (std::nothrow) IsolatedNodeRemovePass());
     status = fusionOptimizer.Run(graphDefT);
     if (status != RET_OK && status != RET_NO_CHANGE) {
diff --git a/mindspore/lite/tools/converter/legacy_optimizer/graph/format_trans_pass.cc b/mindspore/lite/tools/converter/legacy_optimizer/graph/format_trans_pass.cc
index f3c832a8f0..e67b257eee 100644
--- a/mindspore/lite/tools/converter/legacy_optimizer/graph/format_trans_pass.cc
+++ b/mindspore/lite/tools/converter/legacy_optimizer/graph/format_trans_pass.cc
@@ -134,7 +134,7 @@ STATUS FormatTransPass::DoNodeInoutFormatTrans(schema::MetaGraphT *graph) {
       MS_LOG(ERROR) << "Op should have " << kMinInputNum << " input tensor at least";
       return RET_ERROR;
     }
-    if (node->outputIndex.size() != kOutputNum) {
+    if (node->outputIndex.size() < kOutputNum) {
       MS_LOG(ERROR) << "Op should have " << kOutputNum << " output tensor";
       return RET_ERROR;
     }
@@ -160,6 +160,7 @@ STATUS FormatTransPass::DoNodeInoutFormatTrans(schema::MetaGraphT *graph) {
     } else {
       int idx = 0;
       if (GetCNodeTType(**iter) == schema::PrimitiveType_ApplyMomentum) idx = 3;
+      if (GetCNodeTType(**iter) == schema::PrimitiveType_Sgd) idx = 1;
       iter = InsertFormatTransNode(graph, iter, kBefore, idx, beforeNodeType, &status);
       if (status != RET_OK) {
         MS_LOG(ERROR) << "InsertNhwc2NchwNode after " << nodeName << "failed";