62 citations · 151 across the 21 of their papers we have counts for
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math.OC2021★ 18 cited
Homogenization for polynomial optimization with unbounded sets
Lei Huang, Jiawang Nie, Ya-Xiang Yuan
This paper considers polynomial optimization with unbounded sets. We give a homogenization formulation and propose a hierarchy of Moment-SOS relaxations to solve it. Under the assu…
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★ 5 cited
On the Convergence of Stochastic Gradient Descent with Bandwidth-based Step Size
Xiaoyu Wang, Ya-xiang Yuan
We investigate the stochastic gradient descent (SGD) method where the step size lies within a banded region instead of being given by a fixed formula. The optimal convergence rate…