keras 与BatchNormalization层关联的参数数量是2048?

qni6mghb  于 2022-12-04  发布在  其他
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我有下面的代码。

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512相同。
那么与BN层相关联的参数的数目是2048个是如何的呢?

krcsximq

krcsximq1#

这2048个参数实际上是[gamma weights, beta weights, moving_mean(non-trainable), moving_variance(non-trainable)],每个参数具有512个元素(输入层的大小)。

njthzxwz

njthzxwz2#

Keras中的批处理规范化实现了this paper
正如您在这里看到的,为了在训练过程中使批量归一化工作,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,他们计算前一层上每个特征的4个参数。这些参数确保您正确地传播和反向传播信息。
4*512 = 2048,这应该可以回答你的问题。

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