12 citations · 12 across the 1 of their papers we have counts for
3 papers
stat.ML2020★ 12 cited
Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization
Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang
In this paper, we propose a new global analysis framework for a class of low-rank matrix recovery problems on the Riemannian manifold. We analyze the global behavior for the Rieman…
math.OC2019
Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization
Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang
In this paper, we provide some analysis on the asymptotic escape of strict saddles in manifold optimization using the projected gradient descent (PGD) algorithm. One of our main co…
cs.IT2018
Towards the optimal construction of a loss function without spurious local minima for solving quadratic equations
Zhenzhen Li, Jian-Feng Cai, Ke Wei
The problem of finding a vector which obeys a set of quadratic equations , , plays an important role in many applications. In this paper we co…