论文笔记(2)-Dropout-Regularization of Neural Networks using DropConnect
这篇paper使用DropConnect来规则化神经网络。dropconnect和dropout的区别如下图所示。dropout是随机吧隐含层的输出清空,而dropconnect是input unit到hidden unit输入权值以1-p的概率清0

dropout的关键公式,其中m是size为d的列向量格式如下[0 0 1 0 0 0 1 1 ]T .这样的话就把隐层到输出层以一定的概率清空,概率一般为0.5

dropconnect的关键公式,其中M和上面的m一个含义。这个就是说从输入层到隐层就要有一定的概率来清空。

dropconnect的算法流程如下,和普通的算法不同的地方就是随机sample一个M mask,活动函数里面需要乘这个M

inference的过程如下图,对DropConnect进行推理时,采用的是对每个输入(每个隐含层节点连接有多个输入)的权重进行高斯分布的采样。该高斯分布的均值与方差当然与前面的概率值p有关,满足的高斯分布为:


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