4 papers · 1 filter
On the efficient computation of proximal operators of affine-constrained nonconvex functions
Di Hou, Tianyun Tang, Kim-Chuan Toh +1
Proximal operators with affine constraints arise in numerous models in nonconvex projection, composite optimization, and structured regularization. However, their efficient computa…
A Quadratically Convergent Alternating Projection Method for Nonconvex Sets
Nachuan Xiao, Shiwei Wang, Tianyun Tang +1
In this paper, we consider the feasibility problem, which aims to find a feasible point for the constraint set over a possibly non-regular subset…
An Exact Penalty Approach for Equality Constrained Optimization over a Convex Set
Nachuan Xiao, Tianyun Tang, Shiwei Wang +1
In this paper, we consider the nonlinear constrained optimization problem (NCP) with constraint set , where is a closed convex subset…
A Minimization Approach for Minimax Optimization with Coupled Constraints
Xiaoyin Hu, Kim-Chuan Toh, Shiwei Wang +1
In this paper, we focus on the nonconvex-strongly-concave minimax optimization problem (MCC), where the inner maximization subproblem contains constraints that couple the primal va…