2 citations · 6 across the 4 of their papers we have counts for
4 papers
Beyond Monotone Variational Inequalities: Solution Methods and Iteration Complexities
Kevin Huang, Shuzhong Zhang
In this paper, we discuss variational inequality (VI) problems without monotonicity from the perspective of convergence of projection-type algorithms. In particular, we identify ex…
An Accelerated Variance Reduced Extra-Point Approach to Finite-Sum VI and Optimization
Kevin Huang, Nuozhou Wang, Shuzhong Zhang
In this paper, we develop stochastic variance reduced algorithms for solving a class of finite-sum hemivariational inequality (HVI) problem. In this HVI problem, the associated fun…
An Approximation-Based Regularized Extra-Gradient Method for Monotone Variational Inequalities
Kevin Huang, Shuzhong Zhang
In this paper, we propose a general extra-gradient scheme for solving monotone variational inequalities (VI), referred to here as Approximation-based Regularized Extra-gradient met…
Cubic Regularized Newton Method for Saddle Point Models: a Global and Local Convergence Analysis
Kevin Huang, Junyu Zhang, Shuzhong Zhang
In this paper, we propose a cubic regularized Newton (CRN) method for solving convex-concave saddle point problems (SPP). At each iteration, a cubic regularized saddle point subpro…