no code implementations • 20 Jul 2021 • Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang
We show that on the manifold of fixed-rank and symmetric positive semi-definite matrices, the Riemannian gradient descent algorithm almost surely escapes some spurious critical points on the boundary of the manifold.
no code implementations • 31 Dec 2020 • Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang
The first one is a rank-1 matrix recovery problem.
no code implementations • 10 Apr 2018 • Thomas Y. Hou, De Huang, Ka Chun Lam, Ziyun Zhang
In this paper we propose a new iterative method to hierarchically compute a relatively large number of leftmost eigenpairs of a sparse symmetric positive matrix under the multiresolution operator compression framework.