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20132026
most citedProxSARAH: An Efficient Algorithmic Framework for Stochastic Composite Nonconvex Optimization

42 citations · 98 across the 19 of their papers we have counts for

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35 papers · 1 filter

math.OC2026

Provable Parameter-Free Fixed-Point Algorithms with Linear Convergence Rates

Quoc Tran-Dinh, Pham Ngoc Anh, Ha Manh Tien

In this paper, we develop provable parameter-free and adaptive fixed-point algorithms for contractive mappings, with an emphasis on automatically exploiting hidden contractivity wi…

math.OC2026

Adaptive Regularization within Trust Region Methods for Stochastic Nonconvex Optimization

Yunsoo Ha, Sara Shashaani, Quoc Tran-dinh

We propose a stochastic nonconvex optimization algorithm that achieves almost sure iteration complexity for problems with smooth objective functions…

math.OC2025

A Class of Accelerated Fixed-Point-Based Methods with Delayed Inexact Oracles and Its Applications

Nghia Nguyen-Trung, Quoc Tran-Dinh

In this paper, we develop a novel accelerated fixed-point-based framework using delayed inexact oracles to approximate a fixed point of a nonexpansive operator (or equivalently, a…

math.OC2025

New Accelerated Past-Extragradient Methods with Variance Reduction for Generalized Equations

Quoc Tran-Dinh, Nghia Nguyen-Trung

We develop a novel past-extragradient-type algorithmic framework, combining both Nesterov's \textit{acceleration} and \textit{variance-reduction} techniques, to solve a class of ge…

math.OC2025

Variance-Reduced Fast Operator Splitting Methods for Generalized Equations

Quoc Tran-Dinh

We develop two variance-reduced fast operator splitting methods to approximate solutions of a class of generalized equations, covering fundamental problems such as \rvs{minimizatio…

math.OC2025

Complexity of Linearized Perturbed Augmented Lagrangian Methods for Nonsmooth Nonconvex Optimization with Nonlinear Equality Constraints

Lahcen El Bourkhissi, Ion Necoara, Panagiotis Patrinos +1

This paper addresses a class of general nonsmooth and nonconvex composite optimization problems subject to nonlinear equality constraints. We assume that a part of the objective fu…