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Author

Alberto Marchi

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Preprint Aug 2026

Dynamic Proximal Point Method for Unconstrained Minimization

The reduced linear system used to compute the Newton step is derived, the corresponding merit function is defined, and practical approaches for constructing the diagonal scaling matrix from derivative information are discussed.

E. Bertolazzi, Alberto De Marchi, Davide Stocco · 0 citations
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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