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Yura Malitsky

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Preprint Aug 2026

Mirror descent algorithms with logarithmic barriers

This work derives convergence guarantees for mirror descent and proximal mirror descent algorithms when a logarithmic barrier is used as a distance-generating function and shows that, in a specific setting, both methods enjoy an O(\log k / k) rate, which is also tight.

A. Marchi, Yura Malitsky, Adrien B. Taylor · 0 citations

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