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math.OC2025
An Accelerated Primal Dual Algorithm with Backtracking for Decentralized Constrained Optimization
Qiushui Xu, Necdet Serhat Aybat, Mert Gürbüzbalaban
We propose a distributed accelerated primal-dual method with backtracking (D-APDB) for cooperative multi-agent constrained consensus optimization problems over an undirected networ…
math.OC2025
A Retraction-free Method for Nonsmooth Minimax Optimization over a Compact Manifold
Necdet Serhat Aybat, Jiang Hu, Zhanwang Deng
We study the minimax problem , where is a compact submanifold, is continuously differentiable in , is a closed, weak…
math.OC2025
Accelerated Gradient Methods with Biased Gradient Estimates: Risk Sensitivity, High-Probability Guarantees, and Large Deviation Bounds
Mert Gürbüzbalaban, Yasa Syed, Necdet Serhat Aybat
We study trade-offs between convergence rate and robustness to gradient errors in the context of first-order methods. Our focus is on generalized momentum methods (GMMs)--a broad c…