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Neural Networks Provably Learn Spectral Representations for Group Composition

arXiv cs.LG · 2d ago Cached

This paper theoretically demonstrates that two-layer neural networks trained on group composition tasks learn spectral representations, with neurons converging to irreducible representations and achieving rotational rank-one alignment, providing a representation-theoretic account of feature learning.

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#feature-learning

Don't Collapse Your Features: Why CenterLoss Hurts OOD Detection and Multi-Scale Mahalanobis Wins

arXiv cs.LG · 2026-05-22 Cached

This paper introduces GOEN, a pipeline combining multi-scale features, L2 normalization, and Mahalanobis distance for OOD detection, and finds that CenterLoss regularization actually degrades OOD performance despite improving classification accuracy.

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#feature-learning

AGOP as Explanation: From Feature Learning to Per-Sample Attribution in Image Classifiers

arXiv cs.LG · 2026-05-14 Cached

The paper introduces AGOP-Weighted, a post-hoc attribution method that multiplies per-sample gradients by a training-distribution prior to suppress noise and highlight important pixels, and demonstrates significant improvements over existing methods on synthetic and photorealistic benchmarks.

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#feature-learning

Feature Repulsion and Spectral Lock-in: An Empirical Study of Two-Layer Network Grokking

arXiv cs.LG · 2026-05-12 Cached

This empirical study validates theoretical findings on feature repulsion and spectral lock-in during the grokking phenomenon in two-layer neural networks, demonstrating how activation functions influence the transition from memorization to generalization.

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