4 citations · 13 across the 6 of their papers we have counts for
6 papers
Sampling-Based Methods for Multi-Block Optimization Problems over Transport Polytopes
Yukuan Hu, Mengyu Li, Xin Liu +1
This paper focuses on multi-block optimization problems over transport polytopes, which underlie various applications including strongly correlated quantum physics and machine lear…
The Exactness of the Penalty Function for a Class of Mathematical Programs with Generalized Complementarity Constraints
Yukuan Hu, Xin Liu
In a Mathematical Program with Generalized Complementarity Constraints (MPGCC), complementarity relationships are imposed between each pair of variable blocks. MPGCC includes the t…
The Convergence Properties of Infeasible Inexact Proximal Alternating Linearized Minimization
Yukuan Hu, Xin Liu
The proximal alternating linearized minimization method (PALM) suits well for solving block-structured optimization problems, which are ubiquitous in real applications. In the case…
A Global Optimization Approach for Multi-Marginal Optimal Transport Problems with Coulomb Cost
Yukuan Hu, Huajie Chen, Xin Liu
In this work, we construct a novel numerical method for solving the multi-marginal optimal transport problems with Coulomb cost. This type of optimal transport problems arises in q…
Symplectic Runge-Kutta discretization of a regularized forward-backward sweep iteration for optimal control problems
Xin Liu, Jason Frank
Li, Chen, Tai & E. (J. Machine Learning Research, 2018) have proposed a regularization of the forward-backward sweep iteration for solving the Pontryagin maximum principle in optim…
A Scalable Frank-Wolfe based Augmented Lagrangian Method for Linearly Constrained Composite Convex Programming
Ya-Feng Liu, Xiangfeng Wang, Xin Liu +1
In this paper, we consider large-scale linearly constrained composite convex optimization problem, whose objective is a sum of a smooth function and a possibly nonsmooth function.…