35 citations · 142 across the 22 of their papers we have counts for
28 papers
Primal-dual splitting for structured composite monotone inclusions with or without cocoercivity
Minh N. Dao, Hung M. Phan, Matthew K. Tam +1
In this paper, we propose a primal-dual splitting algorithm for a broad class of structured composite monotone inclusions that involve finitely many set-valued operators, compositi…
Projected proximal gradient trust-region algorithm for nonsmooth optimization
Minh N. Dao, Hung M. Phan, Lindon Roberts
We consider trust-region methods for solving optimization problems where the objective is the sum of a smooth, nonconvex function and a nonsmooth, convex regularizer. We extend the…
Stochastic Variance-Reduced Majorization-Minimization Algorithms
Duy-Nhat Phan, Sedi Bartz, Nilabja Guha +1
We study a class of nonconvex nonsmooth optimization problems in which the objective is a sum of two functions: One function is the average of a large number of differentiable func…
An adaptive splitting algorithm for the sum of three operators
Minh N. Dao, Hung M. Phan
Splitting algorithms for finding a zero of sum of operators often involve multiple steps which are referred to as forward or backward steps. Forward steps are the explicit use of t…
An Adaptive Alternating Direction Method of Multipliers
Sedi Bartz, Rubén Campoy, Hung M. Phan
The alternating direction method of multipliers (ADMM) is a powerful splitting algorithm for linearly constrained convex optimization problems. In view of its popularity and applic…
Demiclosedness principles for generalized nonexpansive mappings
Sedi Bartz, Rubén Campoy, Hung M. Phan
Demiclosedness principles are powerful tools in the study of convergence of iterative methods. For instance, a multi-operator demiclosedness principle for firmly nonexpansive mappi…