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arXiv · 2609.36237

Transversal Pooling Neural Networks

Emily J. King·Dustin G. Mixon·Michael Perlmutter·Lander Ver Hoef
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Abstract

Many learning tasks require stability to small transformations while retaining sensitivity to larger ones. We introduce \emph{transversal pooling neural networks}, which generalize spatial max pooling to affine group actions. We establish equivariance to a chosen subgroup and derive explicit stability bounds for individual pooled wavelet coefficients under affine perturbations of the input. Experimentally, we demonstrate the utility of our networks in low-data environments and for predicting tropical cyclone intensification.

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Emily J. King, Dustin G. Mixon, Michael Perlmutter, Lander Ver Hoef. 2026-09-28. Transversal Pooling Neural Networks. https://arxiv.org/abs/2609.36237

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