9 citations · 12 across the 7 of their papers we have counts for
7 papers
A sequential smoothing majorant stochastic approximation method for nonconvex nonconcave minimax problems
Zhouxing Luo, Wei Liu, Xin Liu +1
We propose a sequential smoothing majorant stochastic approximation (SMSA) method for nonconvex-nonconcave minimax optimization problems. To overcome the nonconcavity of the inner…
An Adaptive Smoothing Algorithm for Non-Lipschitz Optimization on Manifolds with Complexity Guarantees
Lei Wang, Xiaojun Chen
We study a class of optimization problems on Riemannian manifolds, where the objective function consists of a smooth term and quasi-norm type penalties with exponent …
A Support-Set Algorithm for Optimization Problems with Nonnegative and Orthogonal Constraints
Lei Wang, Xin Liu, Xiaojun Chen
In this paper, we investigate optimization problems with nonnegative and orthogonal constraints, where any feasible matrix of size exhibits a sparsity pattern such tha…
Enhancing Distributional Robustness in Principal Component Analysis by Wasserstein Distances
Lei Wang, Xin Liu, Xiaojun Chen
We consider the distributionally robust optimization (DRO) model of principal component analysis (PCA) to account for uncertainty in the underlying probability distribution. The re…
An Inexact Augmented Lagrangian Algorithm for Training Leaky ReLU Neural Network with Group Sparsity
Wei Liu, Xin Liu, Xiaojun Chen
The leaky ReLU network with a group sparse regularization term has been widely used in the recent years. However, training such a network yields a nonsmooth nonconvex optimization…
Linearly-constrained nonsmooth optimization for training autoencoders
Wei Liu, Xin Liu, Xiaojun Chen
A regularized minimization model with -norm penalty (RP) is introduced for training the autoencoders that belong to a class of two-layer neural networks. We show that the RP c…
On the Łojasiewicz Exponent of the Quadratic Sphere Constrained Optimization Problem
Bin Gao, Xin Liu, Xiaojun Chen +1
In this paper, we prove that the global version of the ojasiewicz gradient inequality holds for quadratic sphere constrained optimization problem with exponent .…