62 citations · 90 across the 17 of their papers we have counts for
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math.OC2021★ 3 cited
Solving Optimization Problems over the Stiefel Manifold by Smooth Exact Penalty Function
Nachuan Xiao, Xin Liu
In this paper, we present a novel penalty model called ExPen for optimization over the Stiefel manifold. Different from existing penalty functions for orthogonality constraints, Ex…
math.OC2021★ 4 cited
A Penalty-free Infeasible Approach for a Class of Nonsmooth Optimization Problems over the Stiefel Manifold
Nachuan Xiao, Xin Liu, Ya-xiang Yuan
Transforming into an exact penalty function model with convex compact constraints yields efficient infeasible approaches for optimization problems with orthogonality constraints. F…
math.OC2021
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…