The max pooling layer

The max pooling layer is a common non-linear filter in computer vision applications. Given an by window, it consists of choosing the largest value in that window. The max pooling layers reduces the dimensionality of the data, potentially preventing overfitting and reducing computational cost. Given that within the window the max pooling layer takes the largest value in the window, disregarding spatial information, the max pooling layers can be used to learn the representations that are locally invariant to translation: