activity
20102026
most citedAn Asynchronous Distributed Proximal Gradient Method for Composite Convex Optimization

28 citations · 131 across the 41 of their papers we have counts for

collaborators

44 papers

math.OC2026

Restarted Accelerated Primal-Dual Algorithms with Adaptive Stepsizes for Nonlinear Conic Constrained Convex Optimization

Necdet Serhat Aybat, Jinxin Wang

We propose restarted accelerated primal-dual algorithms with (non-monotone) backtracking (rAPDB) for convex nonlinear conic programs, with quadratically constrained quadratic progr…

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…

math.OC2024

Adaptive Algorithms for Robust Phase Retrieval

Zhong Zheng, Necdet Serhat Aybat, Shiqian Ma +1

This paper considers robust phase retrieval, which can be cast as a nonsmooth and nonconvex optimization problem. We propose two first-order algorithms with adaptive step sizes: th…

math.OC2024

AGDA+: Proximal Alternating Gradient Descent Ascent Method with a Nonmonotone Adaptive Step-Size Search for Nonconvex Minimax Problems

Xuan Zhang, Qiushui Xu, Necdet Serhat Aybat

We consider double-regularized nonconvex-strongly concave (NCSC) minimax problems of the form , where , ar…