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When the Preconditioning Exponent Turns Negative: Learning-Rate Coupling and Cross-Environment Generalization

arXiv cs.LG ↗ · 2026-09-29 Cached

This paper examines the coupling between the preconditioning exponent and learning rate in adaptive optimizers, showing that the exponent maximizing cross-environment accuracy decreases with log learning rate, and identifies a conflict between source-domain validation and robustness to environmental change.

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