首页 > 其他 > 详细

在tensorflow 2.0 中使用 relu 和 LeakyReLU

时间:2019-10-13 21:44:30      阅读:1791      评论:0      收藏:0      [点我收藏+]

网络上关于ReLU、LReLU等非常多的理论东西,可是大部分都是理论的,聚集怎么应用比较少。

在 Convolutional Neural Network (CNN) https://tensorflow.google.cn/tutorials/images/cnn?hl=en 的学习课程中,激活函数是 relu。

在学习过程中,看有的博文中说当激活函数 ReLU 效果不好时,建议使用LReLU试试,可是网上并没有特别详细的使用方法,只好去官网上找。

1 关于 relu 的常规使用方法

首先使用常规的relu —— 直接使用。

直接使用官网例子《Create the convolutional base》

model = models.Sequential()
model.add(layers.Conv2D(32, (3, 3), activation=relu, input_shape=(32, 32, 3)))
model.add(layers.MaxPooling2D((2, 2)))
model.add(layers.Conv2D(64, (3, 3), activation=relu))
model.add(layers.MaxPooling2D((2, 2)))
model.add(layers.Conv2D(64, (3, 3), activation=relu))

很明显,这里的 relu 是可以直接使用的。

找到官网关于  activation=relu  的相关内容

在 activation 的官网中

(Module: tf.compat.v2.keras.activations) https://tensorflow.google.cn/api_docs/python/tf/compat/v2/keras/activations?hl=en

我们可以看到如下内容

Built-in activation functions.

Functions

deserialize(...)

elu(...): Exponential linear unit.

exponential(...): Exponential activation function.

get(...)

hard_sigmoid(...): Hard sigmoid activation function.

linear(...): Linear activation function.

relu(...): Rectified Linear Unit.

selu(...): Scaled Exponential Linear Unit (SELU).

serialize(...)

sigmoid(...): Sigmoid.

softmax(...): The softmax activation function transforms the outputs so that all values are in

softplus(...): Softplus activation function.

softsign(...): Softsign activation function.

tanh(...): Hyperbolic Tangent (tanh) activation function.

很明显,内建函数中包括有relu;而没有LReLU。所以直接使用  activation=lrelu 会报错!

报错内容: ValueError: Unknown activation function:lrelu 。

备注: activation=relu 等价于  activation=tf.keras.activations.relu() 。

2 relu 函数溯源

官网 tf.keras.activations.relu https://tensorflow.google.cn/api_docs/python/tf/keras/activations/relu

 

tf.keras.activations.relu(
    x,
    alpha=0.0,
    max_value=None,
    threshold=0
)

参数:

  • x:张量或变量。

  • alpha:负截面的标量斜率(默认值= 0.)。

  • max_value:浮动。饱和度阈值。

  • threshold:浮动。阈值激活的阈值。

使用默认值,该函数返回 element-wise max(x, 0).

否则,它遵循如下规则:

f(x) = max_value for x >= max_value

f(x) = x for threshold <= x < max_value

f(x) = alpha * (x - threshold).

其实我在想,要是负截面的标量斜率 alpha ≠ 0 ,是不是就类似于RLeLU 函数了?

接下来我们对比 LeaKyReLU 函数。

3 LeaKyReLU 溯源

3.1 LeaKyReLU 的基本概念

tf.keras.layers.LeakyReLU 的官方网址:https://tensorflow.google.cn/api_docs/python/tf/keras/layers/LeakyReLU?hl=en

class tf.keras.layers.LeakyReLU

首先需要明确的是 LeaKyReLU 是一个类,而不是函数!

该类继承自 layer(当我意识到它是类时,以为继承自layers,尾后附源码)

 

参数:

  • alpha:浮点> =0。负斜率系数。

__init__方法

__init__(
    alpha=0.3,
    **kwargs
)

3.2 LeakyReLU 的实例应用

深度卷积生成对抗网络 Deep Convolutional Generative Adversarial Network 

该文中是这样应用的:

def make_generator_model():
    model = tf.keras.Sequential()
    model.add(layers.Dense(7*7*256, use_bias=False, input_shape=(100,)))
    model.add(layers.BatchNormalization())
    model.add(layers.LeakyReLU())

    model.add(layers.Reshape((7, 7, 256)))
    assert model.output_shape == (None, 7, 7, 256) # 注意:batch size 没有限制

    model.add(layers.Conv2DTranspose(128, (5, 5), strides=(1, 1), padding=same, use_bias=False))
    assert model.output_shape == (None, 7, 7, 128)
    model.add(layers.BatchNormalization())
    model.add(layers.LeakyReLU())

    model.add(layers.Conv2DTranspose(64, (5, 5), strides=(2, 2), padding=same, use_bias=False))
    assert model.output_shape == (None, 14, 14, 64)
    model.add(layers.BatchNormalization())
    model.add(layers.LeakyReLU())

    model.add(layers.Conv2DTranspose(1, (5, 5), strides=(2, 2), padding=same, use_bias=False, activation=tanh))
    assert model.output_shape == (None, 28, 28, 1)

    return model

可以理解为直接实例化应用。

在官方给出的另一文中的应用方法。

Pix2Pix https://tensorflow.google.cn/tutorials/generative/pix2pix

应用方法为

def downsample(filters, size, apply_batchnorm=True):
  initializer = tf.random_normal_initializer(0., 0.02)

  result = tf.keras.Sequential()
  result.add(
      tf.keras.layers.Conv2D(filters, size, strides=2, padding=same,
                             kernel_initializer=initializer, use_bias=False))

  if apply_batchnorm:
    result.add(tf.keras.layers.BatchNormalization())

  result.add(tf.keras.layers.LeakyReLU())

  return result

红色标识的地方可知,也是直接实例化应用的。

当然了也可以直接赋值并实例化:

3.3 将 LeaKyReLU 替代 relu 的使用方法(第一章节代码)

依据官方的方法进行修改

首先引用文件

from tensorflow.keras import layers, models
from tensorflow.keras.layers import LeakyReLU

构建模型

model = models.Sequential()
model.add(layers.Conv2D(32, (3, 3), input_shape=(28, 28, 3)))
model.add(LeakyReLU(alpha=0.01))
model.add(layers.MaxPooling2D((2, 2)))

model.add(layers.Conv2D(64, (3, 3)))
model.add(LeakyReLU(alpha=0.01))
model.add(layers.MaxPooling2D((2, 2)))

model.add(layers.Conv2D(64, (3, 3)))
model.add(LeakyReLU(alpha=0.01))
model.add(layers.MaxPooling2D((2, 2)))
model.summary()

尝试是可以运行的:

Model: "sequential"
_________________________________________________________________
Layer (type)                 Output Shape              Param #   
=================================================================
conv2d (Conv2D)              (None, 26, 26, 32)        896       
_________________________________________________________________
leaky_re_lu (LeakyReLU)      (None, 26, 26, 32)        0         
_________________________________________________________________
max_pooling2d (MaxPooling2D) (None, 13, 13, 32)        0         
_________________________________________________________________
conv2d_1 (Conv2D)            (None, 11, 11, 64)        18496     
_________________________________________________________________
leaky_re_lu_1 (LeakyReLU)    (None, 11, 11, 64)        0         
_________________________________________________________________
max_pooling2d_1 (MaxPooling2 (None, 5, 5, 64)          0         
_________________________________________________________________
conv2d_2 (Conv2D)            (None, 3, 3, 64)          36928     
_________________________________________________________________
leaky_re_lu_2 (LeakyReLU)    (None, 3, 3, 64)          0         
_________________________________________________________________
max_pooling2d_2 (MaxPooling2 (None, 1, 1, 64)          0         
=================================================================
Total params: 56,320
Trainable params: 56,320
Non-trainable params: 0
_________________________________________________________________

我们尝试修改代码行数,观察是否可行:

构建模型

model = models.Sequential()
model.add(layers.Conv2D(32, (3, 3), activation=LeakyReLU(alpha=0.01), input_shape=(32, 32, 3)))
model.add(layers.MaxPooling2D((2, 2)))
model.add(layers.Conv2D(64, (3, 3), activation=LeakyReLU(alpha=0.01)))
model.add(layers.MaxPooling2D((2, 2)))
model.add(layers.Conv2D(64, (3, 3), activation=LeakyReLU(alpha=0.01)))
model.add(layers.MaxPooling2D((2, 2)))
model.summary()

运行

Model: "sequential"
_________________________________________________________________
Layer (type)                 Output Shape              Param #   
=================================================================
conv2d (Conv2D)              (None, 30, 30, 32)        896       
_________________________________________________________________
max_pooling2d (MaxPooling2D) (None, 15, 15, 32)        0         
_________________________________________________________________
conv2d_1 (Conv2D)            (None, 13, 13, 64)        18496     
_________________________________________________________________
max_pooling2d_1 (MaxPooling2 (None, 6, 6, 64)          0         
_________________________________________________________________
conv2d_2 (Conv2D)            (None, 4, 4, 64)          36928     
_________________________________________________________________
max_pooling2d_2 (MaxPooling2 (None, 2, 2, 64)          0         
=================================================================
Total params: 56,320
Trainable params: 56,320
Non-trainable params: 0
_________________________________________________________________

很明显,也是可以运行的。只是它们的 summary 有些区别。

4 LeakyReLU 的底层代码

为了显示底层代码的重要性,我们将其作为单独的章节列出

/tensorflow中的

 

在该内容中我们看到如下代码内容,从代码中可知,class LeakyReLU 确实继承自 class Layer

# Copyright 2015 The TensorFlow Authors. All Rights Reserved.
#
# 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.
# ==============================================================================
"""Layers that act as activation functions.
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function

from tensorflow.python.keras import backend as K
from tensorflow.python.keras import constraints
from tensorflow.python.keras import initializers
from tensorflow.python.keras import regularizers
from tensorflow.python.keras.engine.base_layer import Layer
from tensorflow.python.keras.engine.input_spec import InputSpec
from tensorflow.python.keras.utils import tf_utils
from tensorflow.python.ops import math_ops
from tensorflow.python.util.tf_export import keras_export


@keras_export(keras.layers.LeakyReLU)
class LeakyReLU(Layer):
  """Leaky version of a Rectified Linear Unit.
  It allows a small gradient when the unit is not active:
  `f(x) = alpha * x for x < 0`,
  `f(x) = x for x >= 0`.
  Input shape:
    Arbitrary. Use the keyword argument `input_shape`
    (tuple of integers, does not include the samples axis)
    when using this layer as the first layer in a model.
  Output shape:
    Same shape as the input.
  Arguments:
    alpha: Float >= 0. Negative slope coefficient.
  """

  def __init__(self, alpha=0.3, **kwargs):
    super(LeakyReLU, self).__init__(**kwargs)
    self.supports_masking = True
    self.alpha = K.cast_to_floatx(alpha)

  def call(self, inputs):
    return K.relu(inputs, alpha=self.alpha)

  def get_config(self):
    config = {alpha: float(self.alpha)}
    base_config = super(LeakyReLU, self).get_config()
    return dict(list(base_config.items()) + list(config.items()))

  @tf_utils.shape_type_conversion
  def compute_output_shape(self, input_shape):
    return input_shape


@keras_export(keras.layers.PReLU)
class PReLU(Layer):
  """Parametric Rectified Linear Unit.
  It follows:
  `f(x) = alpha * x for x < 0`,
  `f(x) = x for x >= 0`,
  where `alpha` is a learned array with the same shape as x.
  Input shape:
    Arbitrary. Use the keyword argument `input_shape`
    (tuple of integers, does not include the samples axis)
    when using this layer as the first layer in a model.
  Output shape:
    Same shape as the input.
  Arguments:
    alpha_initializer: Initializer function for the weights.
    alpha_regularizer: Regularizer for the weights.
    alpha_constraint: Constraint for the weights.
    shared_axes: The axes along which to share learnable
      parameters for the activation function.
      For example, if the incoming feature maps
      are from a 2D convolution
      with output shape `(batch, height, width, channels)`,
      and you wish to share parameters across space
      so that each filter only has one set of parameters,
      set `shared_axes=[1, 2]`.
  """

  def __init__(self,
               alpha_initializer=zeros,
               alpha_regularizer=None,
               alpha_constraint=None,
               shared_axes=None,
               **kwargs):
    super(PReLU, self).__init__(**kwargs)
    self.supports_masking = True
    self.alpha_initializer = initializers.get(alpha_initializer)
    self.alpha_regularizer = regularizers.get(alpha_regularizer)
    self.alpha_constraint = constraints.get(alpha_constraint)
    if shared_axes is None:
      self.shared_axes = None
    elif not isinstance(shared_axes, (list, tuple)):
      self.shared_axes = [shared_axes]
    else:
      self.shared_axes = list(shared_axes)

  @tf_utils.shape_type_conversion
  def build(self, input_shape):
    param_shape = list(input_shape[1:])
    if self.shared_axes is not None:
      for i in self.shared_axes:
        param_shape[i - 1] = 1
    self.alpha = self.add_weight(
        shape=param_shape,
        name=alpha,
        initializer=self.alpha_initializer,
        regularizer=self.alpha_regularizer,
        constraint=self.alpha_constraint)
    # Set input spec
    axes = {}
    if self.shared_axes:
      for i in range(1, len(input_shape)):
        if i not in self.shared_axes:
          axes[i] = input_shape[i]
    self.input_spec = InputSpec(ndim=len(input_shape), axes=axes)
    self.built = True

  def call(self, inputs):
    pos = K.relu(inputs)
    neg = -self.alpha * K.relu(-inputs)
    return pos + neg

  def get_config(self):
    config = {
        alpha_initializer: initializers.serialize(self.alpha_initializer),
        alpha_regularizer: regularizers.serialize(self.alpha_regularizer),
        alpha_constraint: constraints.serialize(self.alpha_constraint),
        shared_axes: self.shared_axes
    }
    base_config = super(PReLU, self).get_config()
    return dict(list(base_config.items()) + list(config.items()))

  @tf_utils.shape_type_conversion
  def compute_output_shape(self, input_shape):
    return input_shape


@keras_export(keras.layers.ELU)
class ELU(Layer):
  """Exponential Linear Unit.
  It follows:
  `f(x) =  alpha * (exp(x) - 1.) for x < 0`,
  `f(x) = x for x >= 0`.
  Input shape:
    Arbitrary. Use the keyword argument `input_shape`
    (tuple of integers, does not include the samples axis)
    when using this layer as the first layer in a model.
  Output shape:
    Same shape as the input.
  Arguments:
    alpha: Scale for the negative factor.
  """

  def __init__(self, alpha=1.0, **kwargs):
    super(ELU, self).__init__(**kwargs)
    self.supports_masking = True
    self.alpha = K.cast_to_floatx(alpha)

  def call(self, inputs):
    return K.elu(inputs, self.alpha)

  def get_config(self):
    config = {alpha: float(self.alpha)}
    base_config = super(ELU, self).get_config()
    return dict(list(base_config.items()) + list(config.items()))

  @tf_utils.shape_type_conversion
  def compute_output_shape(self, input_shape):
    return input_shape


@keras_export(keras.layers.ThresholdedReLU)
class ThresholdedReLU(Layer):
  """Thresholded Rectified Linear Unit.
  It follows:
  `f(x) = x for x > theta`,
  `f(x) = 0 otherwise`.
  Input shape:
    Arbitrary. Use the keyword argument `input_shape`
    (tuple of integers, does not include the samples axis)
    when using this layer as the first layer in a model.
  Output shape:
    Same shape as the input.
  Arguments:
    theta: Float >= 0. Threshold location of activation.
  """

  def __init__(self, theta=1.0, **kwargs):
    super(ThresholdedReLU, self).__init__(**kwargs)
    self.supports_masking = True
    self.theta = K.cast_to_floatx(theta)

  def call(self, inputs):
    return inputs * math_ops.cast(
        math_ops.greater(inputs, self.theta), K.floatx())

  def get_config(self):
    config = {theta: float(self.theta)}
    base_config = super(ThresholdedReLU, self).get_config()
    return dict(list(base_config.items()) + list(config.items()))

  @tf_utils.shape_type_conversion
  def compute_output_shape(self, input_shape):
    return input_shape


@keras_export(keras.layers.Softmax)
class Softmax(Layer):
  """Softmax activation function.
  Input shape:
    Arbitrary. Use the keyword argument `input_shape`
    (tuple of integers, does not include the samples axis)
    when using this layer as the first layer in a model.
  Output shape:
    Same shape as the input.
  Arguments:
    axis: Integer, axis along which the softmax normalization is applied.
  """

  def __init__(self, axis=-1, **kwargs):
    super(Softmax, self).__init__(**kwargs)
    self.supports_masking = True
    self.axis = axis

  def call(self, inputs):
    return K.softmax(inputs, axis=self.axis)

  def get_config(self):
    config = {axis: self.axis}
    base_config = super(Softmax, self).get_config()
    return dict(list(base_config.items()) + list(config.items()))

  @tf_utils.shape_type_conversion
  def compute_output_shape(self, input_shape):
    return input_shape


@keras_export(keras.layers.ReLU)
class ReLU(Layer):
  """Rectified Linear Unit activation function.
  With default values, it returns element-wise `max(x, 0)`.
  Otherwise, it follows:
  `f(x) = max_value` for `x >= max_value`,
  `f(x) = x` for `threshold <= x < max_value`,
  `f(x) = negative_slope * (x - threshold)` otherwise.
  Input shape:
    Arbitrary. Use the keyword argument `input_shape`
    (tuple of integers, does not include the samples axis)
    when using this layer as the first layer in a model.
  Output shape:
    Same shape as the input.
  Arguments:
    max_value: Float >= 0. Maximum activation value.
    negative_slope: Float >= 0. Negative slope coefficient.
    threshold: Float. Threshold value for thresholded activation.
  """

  def __init__(self, max_value=None, negative_slope=0, threshold=0, **kwargs):
    super(ReLU, self).__init__(**kwargs)
    if max_value is not None and max_value < 0.:
      raise ValueError(max_value of Relu layer 
                       cannot be negative value:  + str(max_value))
    if negative_slope < 0.:
      raise ValueError(negative_slope of Relu layer 
                       cannot be negative value:  + str(negative_slope))

    self.support_masking = True
    if max_value is not None:
      max_value = K.cast_to_floatx(max_value)
    self.max_value = max_value
    self.negative_slope = K.cast_to_floatx(negative_slope)
    self.threshold = K.cast_to_floatx(threshold)

  def call(self, inputs):
    # alpha is used for leaky relu slope in activations instead of
    # negative_slope.
    return K.relu(inputs,
                  alpha=self.negative_slope,
                  max_value=self.max_value,
                  threshold=self.threshold)

  def get_config(self):
    config = {
        max_value: self.max_value,
        negative_slope: self.negative_slope,
        threshold: self.threshold
    }
    base_config = super(ReLU, self).get_config()
    return dict(list(base_config.items()) + list(config.items()))

  @tf_utils.shape_type_conversion
  def compute_output_shape(self, input_shape):
    return input_shape

 

在tensorflow 2.0 中使用 relu 和 LeakyReLU

原文:https://www.cnblogs.com/gengyi/p/11668249.html

(0)
(0)
   
举报
评论 一句话评论(0
关于我们 - 联系我们 - 留言反馈 - 联系我们:wmxa8@hotmail.com
© 2014 bubuko.com 版权所有
打开技术之扣,分享程序人生!