BatchNormalization层关联的参数个数怎么是2048？

Question

我有以下代码。

x = keras.layers.Input(batch_shape = (None, 4096))
hidden = keras.layers.Dense(512, activation = 'relu')(x)
hidden = keras.layers.BatchNormalization()(hidden)
hidden = keras.layers.Dropout(0.5)(hidden)
predictions = keras.layers.Dense(80, activation = 'sigmoid')(hidden)
mlp_model = keras.models.Model(input = [x], output = [predictions])
mlp_model.summary()

这是模型摘要：

____________________________________________________________________________________________________
Layer (type)                     Output Shape          Param #     Connected to                     
====================================================================================================
input_3 (InputLayer)             (None, 4096)          0                                            
____________________________________________________________________________________________________
dense_1 (Dense)                  (None, 512)           2097664     input_3[0][0]                    
____________________________________________________________________________________________________
batchnormalization_1 (BatchNorma (None, 512)           2048        dense_1[0][0]                    
____________________________________________________________________________________________________
dropout_1 (Dropout)              (None, 512)           0           batchnormalization_1[0][0]       
____________________________________________________________________________________________________
dense_2 (Dense)                  (None, 80)            41040       dropout_1[0][0]                  
====================================================================================================
Total params: 2,140,752
Trainable params: 2,139,728
Non-trainable params: 1,024
____________________________________________________________________________________________________

BatchNormalization (BN) 层的输入大小为 512。根据 Keras documentation，BN 层的输出形状与输入相同，为 512。

那BN层关联的参数个数怎么是2048个？

Answer 1

Keras 中的批量归一化实现 this paper。

正如您在那里看到的那样，为了在训练过程中进行批量归一化，他们需要跟踪每个归一化维度的分布。为此，由于您默认处于 mode=0 中，因此他们会为上一层的每个特征计算 4 个参数。这些参数确保您正确传播和反向传播信息。

所以 4*512 = 2048，这应该可以回答您的问题。

Answer 2

这2048个参数其实是[gamma weights, beta weights, moving_mean(non-trainable), moving_variance(non-trainable)]，每个参数有512个元素（输入层的大小）

BatchNormalization层关联的参数个数怎么是2048？

How the number of parameters associated with BatchNormalization layer is 2048?

keras

batch-normalization