5 citations · 17 across the 8 of their papers we have counts for
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A Damped Subspace Splitting Algorithm for Constrained Density Functional Theory
Yuanming Su, Yukuan Hu, Xin Liu +1
Constrained density functional theory (CDFT) provides a powerful framework for describing electronically excited and charge-localized states, which underlie a broad range of physic…
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…