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A. Gasnikov

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Preprint Sep 2026

Saddle-Point Problems with a Low-Dimensional Block Do Not Need Accurate Inner Solves

The method, certificate transport, keeps a strongly convex lower model of a single slice and uses it as a prior for a short accelerated run on the next slice and shows that the inner problems need not be solved accurately.

И. Ф. Фомин, A. Gasnikov · 0 citations
#machine learning Preprint Sep 2026

Decentralized Optimization with Cross-Coupled Mixed Affine Constraints

An accelerated decentralized method with matching minimax guarantees in the smooth strongly convex regime is developed and extended to smooth and nonsmooth convex objectives and experiments confirm the predicted dependence on cross-channel geometry and network conditioning.

Ewsey R. Obzherin, I. Khomchenko, Natalia Shelegeda et al. · 0 citations
Preprint Aug 2026

Sliding Methods for H\"older-Smooth Convex--Concave Minimax Optimization with Bilinear Coupling

We study convex-concave minimax optimization problems with bilinear coupling of the form $\min_{x\in \mathcal X}\max_{y\in \mathcal Y} \; f(x)+\langle y,\mathbf{B}x\rangle-g(y),$ where the functions $f$ and $g$ have H\"older continuous (sub)gradients. This setting covers a broad range of regimes, from nonsmooth problem...

Nhat Trung Nguyen, A. Gasnikov · 0 citations

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