Showing math.OCShow all
3 papers · 1 filter
math.OC2026
Non-Euclidean SGD for Structured Optimization: Unified Analysis and Improved Rates
Dmitry Kovalev, Ekaterina Borodich
Recently, several instances of non-Euclidean SGD, including SignSGD, Lion, and Muon, have attracted significant interest from the optimization community due to their practical succ…
math.OC2025
Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization
Ekaterina Borodich, Dmitry Kovalev
In this paper, we focus on the problem of minimizing a continuously differentiable convex objective function, . Recently, Malitsky (2020); Alacaoglu et al.(2023) devel…
math.OC2024
On Linear Convergence in Smooth Convex-Concave Bilinearly-Coupled Saddle-Point Optimization: Lower Bounds and Optimal Algorithms
Dmitry Kovalev, Ekaterina Borodich
We revisit the smooth convex-concave bilinearly-coupled saddle-point problem of the form . In the highly specific case whe…