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20182024
most citedFast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization

12 citations · 21 across the 5 of their papers we have counts for

collaborators

5 papers

cs.CV2024★ 1 cited

Auto-Train-Once: Controller Network Guided Automatic Network Pruning from Scratch

Xidong Wu, Shangqian Gao, Zeyu Zhang +5

Current techniques for deep neural network (DNN) pruning often involve intricate multi-step processes that require domain-specific expertise, making their widespread adoption chall…

math.OC2021★ 1 cited

Asymptotic Escape of Spurious Critical Points on the Low-rank Matrix Manifold

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 poi…

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★ 3 cited

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★ 4 cited

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…