• Edge : 一个开源的科学计算引擎
• 安装编译
• 新的demo程序实现5层全连接层,可自定义神经元和激活函数,损失函数
• Bp反向传播的demo程序基于Pytorch官方代码模拟实现测试
• • 目前实现的程序接口
  • API:
  • 即将着手开发:
• 反向传播测试demo:
• 演示:矩阵乘法
• 演示: 矩阵展开(flatten).
• 演示: 邻接矩阵的参数定义:
• 更新2019/11/18/00:12
• Logistic Regression demo base Edge:

# Edge-Engine

Edge : 一个开源的科学计算引擎

README for English_version

声明：本项目禁止闭源商用，如有需要请和作者取得联系

email: zk@likedge.top

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项目开始日期 : 2019/10/01

目前项目总代码 : 810 行

测试 : main.cpp | nerual_network.cpp | 新增全连接神经网络架构(新增全连接网络正向传播和反向传播的测试demo)

测试环境:

MacBook Pro

编译器环境:

Configured with: --prefix=/Applications/Xcode.app/Contents/Developer/usr --with-gxx-include-dir=/Applications/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.14.sdk/usr/include/c++/4.2.1
Apple LLVM version 10.0.1 (clang-1001.0.46.4)
Target: x86_64-apple-darwin18.7.0
Thread model: posix

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这是什么?

安装编译

git clone git@github.com:AllenZYJ/Edge-Computing-Engine.git

cd to install_diff

进入install_diff目录:

执行

make
make install

编译demo入口程序

➜  edge-computing-engine git:(master) ✗ g++ main.cpp -o ma -lautodiff

或者BP测试程序

➜  edge-computing-engine git:(master) ✗ g++ nerual_network.cpp -o ma

运行

➜  edge-computing-engine git:(master) ✗ ./main

最新卷积实现：

double conv_test(Matrix mid1,int input_dim = 3,int output_channels = 3,int stride = 1,int kernel_size = 2,int mode = 0,int padding = 0)

序贯模型api使用方法:

edge_network(int input, int num_neuron)

作为序列模型api

edge_network作为一个类型存在,位于matrix_grad.h中结构体类型的数据

定义了前向传播函数,前向传播无激活版,反向传播,末层反向传播,四大最常用的函数主体.

完整的序列模型:

新的demo程序实现5层全连接层,可自定义神经元和激活函数,损失函数

全连接层使用方法:

第一层的权重自定义,而后调用forward函数前向传播一层,自动求出激活以后的值,激活函数可自定义.

首先定义一个权重矩阵和偏置矩阵,第一个矩阵的维度大小使用数据列去定义:

Matrix bias1 = CreateRandMat(2,1);
Matrix weight1 = CreateRandMat(2,data.col);

之后可以输出第一层前向传播的值,同时可以定义下一层的bias的维度, row使用第一层的权重矩阵的行,第二层的权重矩阵的行使用了第一层的输出的行, 而列自行定义即可, 这一点体现了前向传播算法的维度相容. 也就是:

Matrix output1 = sequaltial.forward(get_T(get_row(data_mine,index)),weight1,bias1);

Matrix weight2 = CreateRandMat(output1.row,2);
Matrix bias2 = CreateRandMat(weight2.row,1);
Matrix output2 = sequaltial.forward(output1,weight2,bias2);

同时第二层的输出也可以求出来,以此类推 .

最终输出代码见nerual_test.cpp

代码:

Matrix data_mine = CreateRandMat(2,1);
Matrix label = CreateMatrix(2,1);
Matrix weight1 = CreateRandMat(2,2);
Matrix weight2 = CreateRandMat(2,2);
Matrix weight3 = CreateRandMat(2,2);
Matrix weight4 = CreateRandMat(2,2);
for(int epoch = 0;epoch<20;epoch++)
{
cout_mat(weight1);
edge_network sequaltial(2,2);

Matrix output1 = sequaltial.forward(data_mine,weight1);
Matrix output2 = sequaltial.forward(output1,weight2);
Matrix output3 = sequaltial.forward(output2,weight3);
Matrix output4 = sequaltial.forward(output3,weight4);
Matrix output_end = sequaltial.end_layer_backward(label,output4);
//get the forward
Matrix backward1 = sequaltial.backward(output_end,output3,weight4);
Matrix grad_w1w2 = mul_simple(backward1,data_mine);
Matrix backward2 = sequaltial.backward(backward1,output2,weight3);
Matrix grad_w3w4 = mul_simple(backward2,data_mine);
Matrix backward3 = sequaltial.backward(backward2,output1,weight2);
Matrix grad_w5w6 = mul_simple(backward3,data_mine);
Matrix backward4 = sequaltial.backward(backward3,output4,weight1);
Matrix grad_w7w8 = mul_simple(backward4,data_mine);
weight1 = subtract(weight1,times_mat(0.0001,padding(grad_w1w2,2,2)));
weight2 = subtract(weight2,times_mat(0.0001,padding(grad_w3w4,2,2)));
weight3 = subtract(weight3,times_mat(0.0001,padding(grad_w5w6,2,2)));
weight4 = subtract(weight4,times_mat(0.0001,padding(grad_w7w8,2,2)));
}

---------epoch: 0------------
loss: 4.65667
loss: 3.28273
---------epoch: 1------------
loss: 4.65655
loss: 3.28265
---------epoch: 2------------
loss: 4.65643
loss: 3.28257
---------epoch: 3------------
loss: 4.65631
loss: 3.28249
---------epoch: 4------------
loss: 4.65619
loss: 3.2824
---------epoch: 5------------
loss: 4.65607
loss: 3.28232
---------epoch: 6------------
loss: 4.65596
loss: 3.28224
---------epoch: 7------------
loss: 4.65584
loss: 3.28216
---------epoch: 8------------
loss: 4.65572
loss: 3.28208
---------epoch: 9------------
loss: 4.6556
loss: 3.282
---------epoch: 10------------
loss: 4.65548
loss: 3.28192
---------epoch: 11------------
loss: 4.65536
loss: 3.28184
---------epoch: 12------------
loss: 4.65524
loss: 3.28176
---------epoch: 13------------
loss: 4.65512
loss: 3.28168
---------epoch: 14------------
loss: 4.65501
loss: 3.2816
---------epoch: 15------------
loss: 4.65489
loss: 3.28152
---------epoch: 16------------
loss: 4.65477
loss: 3.28144
---------epoch: 17------------
loss: 4.65465
loss: 3.28136
---------epoch: 18------------
loss: 4.65453
loss: 3.28128
---------epoch: 19------------
loss: 4.65441
loss: 3.2812

Bp反向传播的demo程序基于Pytorch官方代码模拟实现测试

迭代结果 :

W1: 0.6944 1.52368
-1.46644 -0.154097
W2: 1.10079
0.462984
loss: 0.559269

epoch:100 , 可自行测试.

输出最终损失和参数迭代结果.

-----------split-line-----------
2.79955
0.36431
-0.451694
epoch: 100 error: 6.05895
-----------split-line-----------
0.009167(sum of loss)

目前实现的程序接口

API:

• Matrix read_csv(string &file_path)读取格式化文件(csv),返回一个自动计算长度的矩阵.

• 实现格式化文件写入接口.比较pandas.to_csv.

• 矩阵广播机制,实现padding接口

• 全连接层前向传播和反向传播接口,支持自动求导

• 矩阵微分和自动求导接口封装

• int save_txt(Matrix mid1,string path = "./",string delimiter = ",",string header="./") 设计文件流获取文件头部接口 , 写入格式化文件 , 已设计支持矩阵类型数据写入,支持自定义表头,写入文件路径 , 自定义分隔符,默认为" , ".

• Create a matrix : create(row,cols)开辟一个矩阵结构的内存,元素初值为0;

• Change the element for matrix void move_ele(int &ele1, int &ele2),修改某一个位置的元素的值.

• Matrix1+Matrix2 : Matrix add(Matrix mid1,Matrix mid2,int flag=1),矩阵加和操作接口,可选位运算加速.

• Flag is how to compete the ele ,default 1 ,bitwise operation(位运算加速).

• Matrix1-Matrix2 : Matrix subtract(Matrix mid1,Matrix mid2)

• Matrix1*Matrix2 : Matrix mul(Matrix mid1,Matrix mid2)

• Matrix1*n : Matrix times_mat(int times,Matrix mid1)

• Matrix1's Transposition : Matrix get_T(Matrix mid1)矩阵转置

• Mul(matrix1,matrix2)矩阵乘积(完整数学定义).

• double* flatten(Matrix mid1) : Return a flattened array.矩阵展开

• Matrix matrix_rs(Matrix mid1,int rs_row,int rs_col) 矩阵的结构压缩

• double matrix_sum(Matrix mid1)矩阵求和

• double matrix_mean(Matrix mid1)均值

• Matrix appply(Matrix mid1,Matrix mid2,int axis = 0)矩阵拼接

• Matrix iloc(Matrix mid1,int start_x=0,int end_x=0,int start_y=0,int end_y=0)矩阵切片

• Matrix mul_simple(Matrix mid1,Matrix mid2)为了贴合机器学习的需要,实现了矩阵对应元素相乘,请与传统意义的矩阵乘法区分开.

• Relu激活函数矩阵接口

• 均方误差矩阵接口

• 创建随机权重矩阵接口

  即将着手开发:

• 卷积神经网络定义(包括但不限于卷积核,池化层定义,自定义损失接口).

• 随机森林算法封装.

• 主流网络架构实现.

反向传播测试demo:

#include<iostream>
#include<ctime>
#include<string>
#include<time.h>
#include<math.h>
#include<fstream>
#include<stdlib.h>
#include"./matrix/matrix_def.h"
#include"./matrix/matrix_pro.h"
#include"./welcome/score_wel.cpp"
#include"./logistic/logistic_def.h"
#include"./file_pro/data_read.h"
using namespace std;
clock_t start, stop;
double duration;
int main()
{
	welcome();	
	string path = "./data/nerual_data.csv";
	Matrix data = read_csv(path);
	Matrix bais = CreateMatrix(data.row,1);		
	Matrix x = iloc(data,0,100,0,2);
	Matrix y = iloc(data,0,100,2,3);
	int N=100,in_Dim=2,H_num=2,out_Dim=2;
	double learning_rate = 0.0001;
	Matrix W1 = CreateRandMat(in_Dim,H_num);
	Matrix W2 = CreateRandMat(H_num,out_Dim);
	cout_mat(W1);
	cout_mat(W2);
	for(int epoch = 0;epoch<100;epoch++)
	{
		Matrix x_w1 = mul(x,W1);
		Matrix re = mat_relu(x_w1);
		Matrix out = mul(re,W2);
		Matrix mat_sq = mat_sq_loss(out,y);
		Matrix grad_y_pred = times_mat(2.0,subtract(out,y));
		Matrix grad_w2 = mul(get_T(re),grad_y_pred);
		Matrix grad_h_relu = mul(grad_y_pred,get_T(W2));
		Matrix grad_h_relu_copy = mat_relu(grad_h_relu);
		Matrix grad_w1 = mul(get_T(x),grad_h_relu_copy);
		Matrix dw1 = times_mat(learning_rate,mul(get_T(x),grad_h_relu_copy));
		W1 = subtract(W1,dw1);
		W2 = subtract(W2,times_mat(learning_rate,grad_w2));
		cout<<"W1: ";
		cout_mat(W1);
		cout<<"W2: ";
		cout_mat(W2);
		cout<<"loss"<<": ";
		cout<<matrix_sum(mat_sq)/100<<endl;
	}
}

演示:矩阵乘法

Matrix A：

第1列	第2列	第3列	第4列	第5列
72.0000	0.0000	0.0000	0.0000	0.0000
0.0000	64.0000	0.0000	0.0000	0.0000
16.0000	8.0000	0.0000	0.0000	0.0000
0.0000	0.0000	56.0000	16.0000	32.0000
0.0000	0.0000	0.0000	0.0000	0.0000
0.0000	0.0000	0.0000	0.0000	0.0000

MAtrix B：

第1列	第2列	第3列	第4列	第5列	第6列
72.0000	0.0000	16.0000	0.0000	0.0000	0.0000
0.0000	64.0000	8.0000	0.0000	0.0000	0.0000
0.0000	0.0000	0.0000	56.0000	0.0000	0.0000
0.0000	0.0000	0.0000	16.0000	0.0000	0.0000
0.0000	0.0000	0.0000	32.0000	0.0000	0.0000

To

第1列	第2列	第3列	第4列	第5列	第6列
5184.0000	0.0000	1152.0000	0.0000	0.0000	0.0000
0.0000	4096.0000	512.0000	0.0000	0.0000	0.0000
1152.0000	512.0000	320.0000	0.0000	0.0000	0.0000
0.0000	0.0000	0.0000	4416.0000	0.0000	0.0000
0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
0.0000	0.0000	0.0000	0.0000	0.0000	0.0000

演示: 矩阵展开(flatten).

double* flatten(Matrix mid1)

1	2	3
2	4	6
7	8	9

​ To

1	2	3	2	4	6	7	8	9
								Like numpy.flatten

function:

演示: 邻接矩阵的参数定义:

​ Matrix appply(Matrix mid1,Matrix mid2,int axis = 0)

参数 axis=0 :

0	7	2
0	3	1
0	0	0
0	0	11
0	7	2
0	3	1
0	0	0
0	0	11

---

axis = 1:

0	7	2	0	7	2
0	3	1	0	3	1
0	0	0	0	0	0
0	0	11	0	0	11

---

更新2019/11/18/00:12

• read_csv 通过文件流读取逗号分隔符文件,返回一个自动计算长度的矩阵.

  例如 CSV's head :

  -0.017612	14.053064	0
  -1.395634	4.662541	1
  -0.752157	6.53862	0
  -1.322371	7.152853	0
  0.423363	11.054677	0
  0.406704	7.067335	1

  Get:
  

  Logistic Regression demo base Edge:

#include<iostream>
#include<ctime>
#include<string>
#include <time.h>
#include <math.h>
#include <fstream>
#include"./matrix/matrix_def.h"
#include"./matrix/matrix_pro.h"
#include"./welcome/score_wel.cpp"
#include"./logistic/logistic_def.h"
#include"./file_pro/data_read.h"
using namespace std;
clock_t start, stop;
double duration;
int main()
{
	welcome();	
	string path = "./new_data2.csv";
	Matrix data = read_csv(path);
	Matrix bais = CreateMatrix(data.row,1);		
	data = appply(data,bais,1);
	Matrix y = iloc(data,0,0,3,4);
	Matrix x_1 = iloc(data,0,0,0,3);
	Matrix x_2 = get_T(x_1);
	double alpha = 0.002;
	int max_epoch = 100;
	Matrix weight = CreateMatrix(3,1);
	change_va(weight,0,0,1);
	change_va(weight,1,0,1);
	change_va(weight,2,0,1);
	int epoch = 0;
	for(epoch = 0;epoch<=max_epoch;epoch++)
	{
	cout<<"-----------split-line-----------"<<endl;			
	Matrix temp_mul = mul(x_1,weight);
	Matrix h =e_sigmoid(temp_mul);
	Matrix error = subtract(y,h);
	Matrix temp_update = mul(x_2,error);
	Matrix updata = add(weight,times_mat(alpha,temp_update),0);
	cout_mat(weight);
	cout<<"epoch: "<<epoch<<" error: "<<matrix_sum(error)<<endl;
	cout<<"-----------split-line-----------"<<endl;	
	}
	stop = clock();
  printf("%f\n", (double)(stop - start) / CLOCKS_PER_SEC);
	return 0;
}

Something :

1. 矩阵元素默认为1
2. 使用位运算加速防止填充过大的数值,但是会损失一定精度,慎用.
3. 记得delete(matrix)在你使用完一个矩阵计算单元以后.
4. api接口更多的接近于pandas和numpy的使用习惯.
5. 更多的细节参见目前最新的代码
6. 欢迎star和关注.
7. autodiff部分感谢国外博主Omar的思路提醒.

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作者邮箱:zk@likedge.top | edge@ibooker.org.cn

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