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News/Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks
arxiv
PublishedMay 12, 2026 at 4:00 AM

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks

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arXiv:2605.06300v2 Announce Type: replace Abstract: Deep networks with continuous piecewise affine activations induce polyhedral partitions of the input space, making the number of realized affine regions a natural measure of expressive capacity and a key determinant of how well the model can approx

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