26 citations · 51 across the 21 of their papers we have counts for
5 papers · 1 filter
Majorized Semi-proximal Alternating Coordinate Method for Nonsmooth Convex-Concave Minimax Optimization
Yu-Hong Dai, Jiani Wang, Liwei Zhang
Minimax optimization problems are an important class of optimization problems arising from modern machine learning and traditional research areas. While there have been many numeri…
Optimization with Least Constraint Violation
Yu-Hong Dai, Liwei Zhang
Study about theory and algorithms for constrained optimization usually assumes that the feasible region of the optimization problem is nonempty. However, there are many important p…
Statistical Robustness of Empirical Risks in Machine Learning
Shaoyan Guo, Huifu Xu, Liwei Zhang
This paper studies convergence of empirical risks in reproducing kernel Hilbert spaces (RKHS). A conventional assumption in the existing research is that empirical training data do…
Optimality Conditions for Constrained Minimax Optimization
Yu-HOng Dai, Liwei Zhang
Minimax optimization problems arises from both modern machine learning including generative adversarial networks, adversarial training and multi-agent reinforcement learning, as we…
Pactical Newton Methods for Electronic Structure Calculations
Xiaoying Dai, Liwei Zhang, Aihui Zhou
In this paper, we propose and analyze some practical Newton methods for electronic structure calculations. We show the convergence and the local quadratic convergence rate for the…