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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

Author

Kevin Shu

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Preprint Sep 2026

A Unified Theory of H-Duality in First-Order Methods

We provide two complementary explanations of H-duality in smooth strongly convex optimization and contractive fixed-point problems. H-duality refers to the phenomenon where the worst-case performance of many fixed-step first-order methods (FSFOMs) for a given performance setup are exactly equal to the worst-case perfor...

Kevin Shu, Alex L. Wang · 2 citations

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