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Paper · arXiv

REALM: Regime-Switching, Explainable, and Activation-Induced Linear Models

Deep ReLU networks are piecewise-affine mappings that partition the input space into cells, each characterized by a distinct activation pattern. This structure motivates fitting a local linear model within each cell to preserve predictive accuracy while improving interpretability. The challenge is to identify regimes that are stable, data-adaptive, and easy to explain. We propose REALM, a mixture of linear models whose regimes are induced by neural activation patterns. Because the number of activation cells in a deep neural network (DNN) can grow rapidly with depth, we first distill a deep teacher into a wide, shallow student network (WSSN), then binarize and cluster its hidden-layer acti...

AuthorsXiaoran Cheng, Sen Na, Jia Li
Primary categorycs.LG
Published26 September 2026
Last updated at source26 September 2026
cs.LGcs.AIstat.MEstat.ML
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