62 citations · 315 across the 65 of their papers we have counts for
5 papers · 1 filter
A New Homotopy Proximal Variable-Metric Framework for Composite Convex Minimization
Quoc Tran-Dinh, Liang Ling, Kim-Chuan Toh
This paper suggests two novel ideas to develop new proximal variable-metric methods for solving a class of composite convex optimization problems. The first idea is a new parameter…
An Adaptive Primal-Dual Framework for Nonsmooth Convex Minimization
Quoc Tran-Dinh, Ahmet Alacaoglu, Olivier Fercoq +1
We propose a new self-adaptive, double-loop smoothing algorithm to solve composite, nonsmooth, and constrained convex optimization problems. Our algorithm is based on Nesterov's sm…
Composite Convex Optimization with Global and Local Inexact Oracles
Tianxiao Sun, Ion Necoara, Quoc Tran-Dinh
We introduce new global and local inexact oracle concepts for a wide class of convex functions in composite convex minimization. Such inexact oracles naturally come from primal-dua…
Augmented Lagrangian-Based Decomposition Methods with Non-Ergodic Optimal Rates
Quoc Tran-Dinh, Yuzixuan Zhu
We develop two new variants of alternating direction methods of multipliers (ADMM) and two parallel primal-dual decomposition algorithms to solve a wide range class of constrained…
Non-stationary Douglas-Rachford and alternating direction method of multipliers: adaptive stepsizes and convergence
Dirk A. Lorenz, Quoc Tran-Dinh
We revisit the classical Douglas-Rachford (DR) method for finding a zero of the sum of two maximal monotone operators. Since the practical performance of the DR method crucially de…