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Nhat Trung Nguyen

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#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