吴恩达深度学习笔记(十二)—— Batch Normalization
主要内容:
一、Normalizing activations in a network
二、Fitting Batch Norm in a neural network
三、Why does Batch Norm work?
四、Batch Norm at test time
一、Normalizing activations in a network
1、在浅层机器学习算法中,如logistics regression,我们通常使用normalization来加速梯度下降。那么同样,我们也可以把normalization运用于神经网络。![]()
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)
2.在神经网络中,不仅有X作为最初的输入,还有当前层的激活值a[l]作为下一层的输入。因此,我们不仅仅对输入层做特征归一化处理,同样需要对隐藏层做归一化处理。
3、在Batch Norm中,一般是对输入激活函数之前的z做归一化处理,而不是激活值a。 其步骤如下:
可以看出,前三步与浅层机器学习算法的normalization无异,只是多了第四步。而第四步的作用就是将归一化的z再做一下缩放和平移(线性变换),因为有时候可能不希望隐藏层的z的均值和方差总是等于0和1。如在激活函数sigmod中,我们不希望输入值z的均值和方差为0和1,使得sigmod被利用的仅仅为线性部分:
二、Fitting Batch Norm in a neural network
1、将Batch Norm运用于整个神经网络,其步骤如下:
2、需要学习的参数有:
3、在实际中,Batch Norm通常和mini-batch gradient descent一起使用:
注意:z[t]经过归一化后其均值为0,而z[t] = w[t-1]a[t-1]+b[t],所以b[t]实际是无意义的,它其实就是一个偏移值,而归一化后就去掉了偏移值。所以在这里可以不考虑b[t]。
三、Why does Batch Norm work?
1、通过特征归一化,使得输入值的均值和方差变成0和一,这样能加速梯度下降。
2、解决了covariate shift的问题。covariate shift的大概意思就是:当输入值的分布情况发生了变化,那么原先学习到的算法将不再适用于新的输入。比如对于神经网络的第t层,他们的输入 值的分布情况取决于前面层的参数,而这些参数在学习过程中是不断变化的,因此第t层的输入值的分布也是不断变化了,那么学习将变得无效。而引入batch norm后,每一层输入的分布变得稳定了,那就是N(0,1)再经过线性调整,因此学习变得有效了。
四、Batch Norm at test time
1、在测试时,同样需要对输入进行batch norm。根据batch norm的式子,我们需要计算均值和方差,但是计算测试数据的均值和方差是不合适的,比如当测试数据个数为1时,均值和方差变得无意义的。
2、测试数据的均值和方差,通常是在mini-batch gradient descent的时候通过指数加权平均求得。