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cs.LG2026
Expressivity Saturation: Reduced Affine Region Usage Under Increasing Task Complexity
Xuan Qi, Yi Wei, Fanqi Yu +1
Piecewise-affine neural networks (e.g., with ReLU or LeakyReLU activations) implement continuous piecewise-affine maps, and the number of affine regions provides a natural proxy fo…
cs.LG2026
Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks
Xuan Qi, Yi Wei, Fanqi Yu +3
Batch normalization (BN) is central to modern deep networks, but its effect on the realized function during training remains less understood than its optimization benefits. We stud…