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- # Copyright 2020-2021 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.
- # ============================================================================
- """Initializer for cell parameters."""
- import numbers
- import math
-
- from functools import reduce
- import numpy as np
- from scipy.stats import truncnorm
- from .seed import get_seed, _get_graph_seed
- from . import dtype as mstype
- from .tensor import Tensor
- from .._c_expression import random_normal
-
- _INITIALIZER_ALIAS = dict()
-
-
- class Initializer:
- """
- The base class of the initializer.
- Initialization of tensor basic attributes and model weight values.
-
- Args:
- kwargs (dict): Keyword arguments for Initializer.
- """
- def __init__(self, **kwargs):
- self._kwargs = kwargs
- self._seed = None
-
- @property
- def seed(self):
- if self._seed is None:
- seed, seed2 = _get_graph_seed(get_seed(), "init")
- else:
- seed, seed2 = self._seed + 1, 0
- return seed, seed2
-
- @seed.setter
- def seed(self, value):
- self._seed = value
-
- def _initialize(self, *kwargs):
- raise NotImplementedError('Must be overridden!')
-
- def __call__(self, arr):
- return self._initialize(arr)
-
- def _register(*aliases):
- """Return the alias register."""
- def alias_reg(cls):
- name = cls.__name__
- name = name.lower()
- if name not in _INITIALIZER_ALIAS:
- _INITIALIZER_ALIAS[name] = cls
-
- for alias in aliases:
- if alias not in _INITIALIZER_ALIAS:
- _INITIALIZER_ALIAS[alias] = cls
-
- return cls
-
- return alias_reg
-
-
- def _assignment(arr, num):
- """Assign the value of `num` to `arr`."""
- if arr.shape == ():
- arr = arr.reshape(1)
- arr[:] = num
- arr = arr.reshape(())
- else:
- if isinstance(num, np.ndarray):
- arr[:] = num[:]
- else:
- arr[:] = num
- return arr
-
-
- @_register('zeros')
- class Zero(Initializer):
- """
- Fills the input array with the values zero.
-
- Args:
- arr (Array): The array to be assigned.
-
-
- Examples:
- >>> import mindspore
- >>> from mindspore.common.initializer import initializer, Zero
- >>> tensor1 = initializer(Zero(), [1, 2, 3], mindspore.float32)
- >>> tensor2 = initializer('zeros', [1, 2, 3], mindspore.float32)
- """
- def _initialize(self, arr):
- _assignment(arr, 0)
-
-
- @_register('ones')
- class One(Initializer):
- """
- Fills the input array with the values one.
-
- Args:
- arr (Array): The array to be assigned.
-
-
- Examples:
- >>> import mindspore
- >>> from mindspore.common.initializer import initializer, One
- >>> tensor1 = initializer(One(), [1, 2, 3], mindspore.float32)
- >>> tensor2 = initializer('ones', [1, 2, 3], mindspore.float32)
- """
- def _initialize(self, arr):
- _assignment(arr, 1)
-
-
- def _calculate_fan_in_and_fan_out(shape):
- """
- calculate fan_in and fan_out
-
- Args:
- shape (tuple): input shape.
-
- Returns:
- Tuple, a tuple with two elements, the first element is `n_in` and the second element is `n_out`.
- """
- dimensions = len(shape)
- if dimensions < 2:
- raise ValueError("'fan_in' and 'fan_out' can not be computed for tensor with fewer than"
- " 2 dimensions, but got dimensions {}.".format(dimensions))
- if dimensions == 2: # Linear
- fan_in = shape[1]
- fan_out = shape[0]
- else:
- num_input_fmaps = shape[1]
- num_output_fmaps = shape[0]
- receptive_field_size = 1
- for i in range(2, dimensions):
- receptive_field_size *= shape[i]
- fan_in = num_input_fmaps * receptive_field_size
- fan_out = num_output_fmaps * receptive_field_size
- return fan_in, fan_out
-
-
- def _calculate_correct_fan(shape, mode):
- """
- Calculate fan.
-
- Args:
- shape (tuple): input shape.
- mode (str): only support fan_in and fan_out.
-
- Returns:
- fan_in or fan_out.
- """
- mode = mode.lower()
- valid_modes = ['fan_in', 'fan_out']
- if mode not in valid_modes:
- raise ValueError("'mode' {} not supported, please use one of {}".format(mode, valid_modes))
- fan_in, fan_out = _calculate_fan_in_and_fan_out(shape)
- return fan_in if mode == 'fan_in' else fan_out
-
-
- def _calculate_gain(nonlinearity, param=None):
- """
- Calculate gain.
-
- Args:
- nonlinearity (str): nonlinearity function.
- param (str): used to calculate negative_slope.
-
- Returns:
- number.
- """
- linear_fns = ['linear', 'conv1d', 'conv2d', 'conv3d', 'conv_transpose1d', 'conv_transpose2d', 'conv_transpose3d']
- if nonlinearity in linear_fns or nonlinearity == 'sigmoid':
- res = 1
- elif nonlinearity == 'tanh':
- res = 5.0 / 3
- elif nonlinearity == 'relu':
- res = math.sqrt(2.0)
- elif nonlinearity == 'leaky_relu':
- if param is None:
- negative_slope = 0.01
- elif not isinstance(param, bool) and isinstance(param, int) or isinstance(param, float):
- # True/False are instances of int, hence check above
- negative_slope = param
- else:
- raise ValueError("'negative_slope' {} is not a valid number. When 'nonlinearity' has been set to "
- "'leaky_relu', 'negative_slope' should be int or float type, but got "
- "{}.".format(param, type(param)))
- res = math.sqrt(2.0 / (1 + negative_slope ** 2))
- else:
- raise ValueError("The argument 'nonlinearity' should be one of ['sigmoid', 'tanh', 'relu' or 'leaky_relu'], "
- "but got {}.".format(nonlinearity))
- return res
-
-
- def _calculate_in_and_out(arr):
- """
- Calculate n_in and n_out.
-
- Args:
- arr (Array): Input array.
-
- Returns:
- Tuple, a tuple with two elements, the first element is `n_in` and the second element is `n_out`.
- """
- dim = len(arr.shape)
- if dim < 2:
- raise ValueError("If initialize data with xavier uniform, the dimension of data must be greater than 1, "
- "but got {}.".format(dim))
-
- n_in = arr.shape[1]
- n_out = arr.shape[0]
-
- if dim > 2:
- counter = reduce(lambda x, y: x * y, arr.shape[2:])
- n_in *= counter
- n_out *= counter
- return n_in, n_out
-
-
- @_register('xavier_uniform')
- class XavierUniform(Initializer):
- r"""
- Initialize the array with xavier uniform algorithm, and from a uniform distribution collect samples within
- :math:`{U}(-\text{boundary}, \text{boundary})` where:
-
- .. math::
- boundary = gain * \sqrt{\frac{6}{n_{in} + n_{out}}}
-
- - where :math:`gain` is an optional scaling factor.
- - where :math:`n_{in}` is the number of input units in the weight tensor.
- - where :math:`n_{out}` is the number of output units in the weight tensor.
-
- For details of XavierUniform algorithm, please check
- `<http://proceedings.mlr.press/v9/glorot10a.html>`_.
-
- Args:
- gain (float): An optional scaling factor. Default: 1.
-
-
- Examples:
- >>> import mindspore
- >>> from mindspore.common.initializer import initializer, XavierUniform
- >>> tensor1 = initializer(XavierUniform(), [1, 2, 3], mindspore.float32)
- >>> tensor2 = initializer('xavier_uniform', [1, 2, 3], mindspore.float32)
- """
- def __init__(self, gain=1):
- super(XavierUniform, self).__init__(gain=gain)
- self.gain = gain
-
- def _initialize(self, arr):
- n_in, n_out = _calculate_fan_in_and_fan_out(arr.shape)
-
- boundary = self.gain * math.sqrt(6.0 / (n_in + n_out))
- data = np.random.uniform(-boundary, boundary, arr.shape)
-
- _assignment(arr, data)
-
-
- @_register('he_uniform')
- class HeUniform(Initializer):
- r"""
- Initialize the array with HeKaiming Uniform algorithm, and from a uniform distribution collect samples within
- :math:`{U}(-\text{boundary}, \text{boundary})` where
-
- .. math::
- boundary = \sqrt{\frac{6}{(1 + a^2) \times \text{fan_in}}}
-
- - where :math:`-boundary` the lower bound of the HeUniform distribution.
- - where :math:`boundary` the upper bound of the HeUniform distribution.
-
- For details of HeUniform algorithm, please check
- `<https://arxiv.org/abs/1502.01852>`_.
-
- Args:
- negative_slope (int, float, bool): The negative slope of the rectifier used after this layer
- (only used when `nonlinearity` is 'leaky_relu'). Default: 0.
- mode (str): Either 'fan_in' or 'fan_out'. Choosing 'fan_in' preserves the magnitude of the
- variance of the weights in the forward pass. Choosing 'fan_out' preserves the magnitudes
- in the backwards pass. Default: fan_in.
- nonlinearity (str): The non-linear function, recommended to use only with 'relu' or 'leaky_relu'.
- Default: leaky_relu.
-
-
- Examples:
- >>> import mindspore
- >>> from mindspore.common.initializer import initializer, HeUniform
- >>> tensor1 = initializer(HeUniform(), [1, 2, 3], mindspore.float32)
- >>> tensor2 = initializer('he_uniform', [1, 2, 3], mindspore.float32)
- """
- def __init__(self, negative_slope=0, mode='fan_in', nonlinearity='leaky_relu'):
- super(HeUniform, self).__init__(negative_slope=negative_slope, mode=mode, nonlinearity=nonlinearity)
- self.negative_slope = negative_slope
- self.mode = mode
- self.nonlinearity = nonlinearity
-
- def _initialize(self, arr):
- fan = _calculate_correct_fan(arr.shape, self.mode)
- gain = _calculate_gain(self.nonlinearity, self.negative_slope)
- std = gain / math.sqrt(fan)
- boundary = math.sqrt(3.0) * std
- data = np.random.uniform(-boundary, boundary, arr.shape)
-
- _assignment(arr, data)
-
-
- @_register('he_normal')
- class HeNormal(Initializer):
- r"""
- Initialize the array with HeKaiming Normal algorithm, and from a normal distribution collect samples within
- :math:`{N}(0, \text{sigma}^2)` where
-
- .. math::
- sigma = \frac{gain} {\sqrt{mode}}
-
- - where :math:`gain` is an optional scaling factor.
- - where :math:`mode` is the number of input units or output units in the weight tensor.
-
- For details of HeUniform algorithm, please check
- `<https://arxiv.org/abs/1502.01852>`_.
-
- Args:
- negative_slope (int, float, bool): The negative slope of the rectifier used after this layer
- (only used when `nonlinearity` is 'leaky_relu'). Default: 0.
- mode (str): Either 'fan_in' or 'fan_out'. Choosing 'fan_in' preserves the magnitude of the
- variance of the weights in the forward pass. Choosing 'fan_out' preserves the magnitudes
- in the backwards pass. Default: fan_in.
- nonlinearity (str): The non-linear function, recommended to use only with 'relu' or 'leaky_relu'.
- Default: leaky_relu.
-
-
- Examples:
- >>> import mindspore
- >>> from mindspore.common.initializer import initializer, HeNormal
- >>> tensor1 = initializer(HeNormal(), [1, 2, 3], mindspore.float32)
- >>> tensor2 = initializer('he_normal', [1, 2, 3], mindspore.float32)
- """
- def __init__(self, negative_slope=0, mode='fan_in', nonlinearity='leaky_relu'):
- super(HeNormal, self).__init__(negative_slope=negative_slope, mode=mode, nonlinearity=nonlinearity)
- self.negative_slope = negative_slope
- self.mode = mode
- self.nonlinearity = nonlinearity
-
- def _initialize(self, arr):
- fan = _calculate_correct_fan(arr.shape, self.mode)
- gain = _calculate_gain(self.nonlinearity, self.negative_slope)
- std = gain / math.sqrt(fan)
- data = np.random.normal(0, std, arr.shape)
-
- _assignment(arr, data)
-
-
- class Constant(Initializer):
- """
- Initialize a constant.
-
- Args:
- value (Union[int, numpy.ndarray]): The value to initialize.
-
-
- Examples:
- >>> import mindspore
- >>> from mindspore.common.initializer import initializer
- >>> tensor1 = initializer(0, [1, 2, 3], mindspore.float32)
- >>> tensor2 = initializer(5, [1, 2, 3], mindspore.float32)
- """
- def __init__(self, value):
- super(Constant, self).__init__(value=value)
- self.value = value
-
- def _initialize(self, arr):
- _assignment(arr, self.value)
-
-
- @_register()
- class Uniform(Initializer):
- r"""
- Initialize a uniform array, and obtain values :math:`{U}(-\text{scale}, \text{scale})` from the uniform distribution
- to fill the input tensor.
-
- Args:
- scale (float): The scale of the array. Default: 0.07.
-
-
- Examples:
- >>> import mindspore
- >>> from mindspore.common.initializer import initializer, Uniform
- >>> tensor1 = initializer(Uniform(), [1, 2, 3], mindspore.float32)
- >>> tensor2 = initializer('uniform', [1, 2, 3], mindspore.float32)
- """
- def __init__(self, scale=0.07):
- super(Uniform, self).__init__(scale=scale)
- self.scale = scale
-
- def _initialize(self, arr):
- tmp = np.random.uniform(-self.scale, self.scale, arr.shape)
- _assignment(arr, tmp)
-
-
- @_register()
- class Normal(Initializer):
- r"""
- Initialize a normal array, and obtain values :math:`{N}(\text{sigma}, \text{mean})` from the normal distribution
- to fill the input tensor.
-
- .. math::
- f(x) = \frac{1} {\sqrt{2*π} * sigma}exp(-\frac{(x - mean)^2} {2*{sigma}^2})
-
- Args:
- sigma (float): The sigma of the array. Default: 0.01.
- mean (float): The mean of the array. Default: 0.0.
-
-
- Examples:
- >>> import mindspore
- >>> from mindspore.common.initializer import initializer, Normal
- >>> tensor1 = initializer(Normal(), [1, 2, 3], mindspore.float32)
- >>> tensor2 = initializer('normal', [1, 2, 3], mindspore.float32)
- """
- def __init__(self, sigma=0.01, mean=0.0):
- super(Normal, self).__init__(sigma=sigma, mean=mean)
- self.sigma = sigma
- self.mean = mean
-
- def _initialize(self, arr):
- seed, seed2 = self.seed
- output_tensor = Tensor(np.zeros(arr.shape, dtype=np.float32))
- random_normal(arr.shape, seed, seed2, output_tensor)
- output_data = output_tensor.asnumpy()
- output_data = output_data * self.sigma + self.mean
- _assignment(arr, output_data)
-
- @_register()
- class TruncatedNormal(Initializer):
- r"""
- Initialize a truncated normal distribution which is a bounded normal distribution
- within :math:`{N}(\text{low}, \text{high})`.
-
- Args:
- sigma (float): The sigma of the array. Default: 0.01.
-
-
- Examples:
- >>> import mindspore
- >>> from mindspore.common.initializer import initializer, TruncatedNormal
- >>> tensor1 = initializer(TruncatedNormal(), [1, 2, 3], mindspore.float32)
- >>> tensor2 = initializer('truncatedNormal', [1, 2, 3], mindspore.float32)
- """
- def __init__(self, sigma=0.01):
- super(TruncatedNormal, self).__init__(sigma=sigma)
- self.sigma = sigma
-
- def _initialize(self, arr):
- tmp = truncnorm.rvs(-2, 2, loc=0, scale=self.sigma, size=arr.shape, random_state=None)
- _assignment(arr, tmp)
-
-
- def initializer(init, shape=None, dtype=mstype.float32):
- """
- Create and initialize a tensor.
-
- Args:
- init (Union[Tensor, str, Initializer, numbers.Number]): Initialize value.
-
- - `str`: The `init` should be the alias of the class inheriting from `Initializer` and the corresponding
- class will be called. The value of 'init' can be "normal", "ones" or "zeros", etc.
-
- - `Initializer`: The `init` should be the class inheriting from `Initializer` to initialize tensor.
-
- - `numbers.Number`: The `Constant` will be called to initialize tensor.
-
- shape (Union[tuple, list, int]): A list of integers, a tuple of integers or an integer as the shape of
- output. Default: None.
- dtype (:class:`mindspore.dtype`): The type of data in initialized tensor. Default: mindspore.float32.
-
- Returns:
- Union[Tensor], return is Tensor object.
-
- Raises:
- TypeError: The type of the argument 'init' is not correct.
- ValueError: Some values is not correct.
-
-
- Examples:
- >>> import mindspore
- >>> from mindspore.common.initializer import initializer, One
- >>> tensor1 = initializer('ones', [1, 2, 3], mindspore.float32)
- >>> tensor2 = initializer(One(), [1, 2, 3], mindspore.float32)
- >>> tensor3 = initializer(0, [1, 2, 3], mindspore.float32)
- """
- if not isinstance(init, (Tensor, numbers.Number, str, Initializer)):
- raise TypeError("The type of the 'init' argument should be 'Tensor', 'number', 'string' "
- "or 'initializer', but got {}.".format(type(init)))
-
- if isinstance(init, Tensor):
- init_shape = init.shape
- shape = shape if isinstance(shape, (tuple, list)) else [shape]
- if shape is not None and init_shape != tuple(shape):
- raise ValueError("The shape of the 'init' argument should be same as the argument 'shape', but got the "
- "'init' shape {} and the 'shape' {}.".format(list(init.shape), shape))
- return init
-
- if isinstance(shape, list):
- shape = tuple(shape)
- elif isinstance(shape, numbers.Number):
- shape = (shape,)
-
- for value in shape if shape is not None else ():
- if not isinstance(value, int) or value <= 0:
- raise ValueError(f"The argument 'shape' is invalid, the value of 'shape' must be positive integer, "
- f"but got {shape}")
-
- if isinstance(init, str):
- init = _INITIALIZER_ALIAS[init.lower()]()
- if init is None:
- raise ValueError("The class corresponding to '{}' was not found.".format(init))
- elif isinstance(init, numbers.Number):
- init = Constant(init)
- shape = shape if shape is not None else init.shape
- init_obj = Tensor(dtype=dtype, shape=shape, init=init)
- return init_obj
-
- __all__ = [
- 'Initializer',
- 'initializer',
- 'TruncatedNormal',
- 'Normal',
- 'Uniform',
- 'HeUniform',
- 'HeNormal',
- 'XavierUniform',
- 'One',
- 'Zero',
- 'Constant']
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