Training-time batch normalization increases expected local affine-region density in ReLU and piecewise-affine networks by acting as a batch-conditional recentering mechanism on switching hyperplanes.
Deep ReLU networks have surprisingly few activation patterns
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Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks
Training-time batch normalization increases expected local affine-region density in ReLU and piecewise-affine networks by acting as a batch-conditional recentering mechanism on switching hyperplanes.