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Paper · arXiv

Layer-wise Input Recoverability in Deep Neural Networks

The inner workings of deep neural networks are still not well understood. The information bottleneck framework, which characterizes deep networks by the mutual information between their hidden representations and the network's input, has been used to identify compression of input information with respect to an input image and output labels. We instead study how much of a layer's own input is recoverable from the layer's output in convolutional neural networks (CNNs). A convolutional layer applies its filters to one input patch at a time, so we evaluate recoverability on sampled input patches with a reconstruction-based probe and not on the entire feature map. The probe's size thus depends...

AuthorsMaxwell Spiridonov, Alireza Rahmansetayesh, Pierre Baldi
Primary categorycs.LG
Published9 October 2026
Last updated at source9 October 2026
cs.LG
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