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Frederik Kunstner

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Preprint Aug 2026

Mirror Polyak and a Primal-Dual Lifting

This work revisits a variant of the Polyak step-size based on Bregman projections due to Kiwiel (1997), and shows that mirror Polyak enjoys guarantees similar to its Euclidean counterpart, automatically adapting to relative notions of smoothness, Lipschitz continuity, or strong convexity.

Frederik Kunstner, Ryan D'Orazio, V. S. Portella et al. · 0 citations