62 citations · 315 across the 65 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
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…
Accelerated Extragradient-Type Methods -- Part 2: Generalization and Sublinear Convergence Rates under Co-Hypomonotonicity
Quoc Tran-Dinh, Nghia Nguyen-Trung
Following the first part of our project, this paper comprehensively studies two types of extragradient-based methods: anchored extragradient and Nesterov's accelerated extragradien…
Lagrange Multipliers and Duality with Applications to Constrained Support Vector Machine
Nguyen Mau Nam, Gary Sandine, Quoc Tran-Dinh
In this paper, we employ the concept of quasi-relative interior to analyze the method of Lagrange multipliers and establish strong Lagrangian duality for nonsmooth convex optimizat…