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07/20/2021
Asymptotic Escape of Spurious Critical Points on the Low-rank Matrix Manifold
We show that the Riemannian gradient descent algorithm on the low-rank m...
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12/31/2020
Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization
In this paper, we propose a new global analysis framework for a class of...
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12/04/2019
Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems
We propose to use the Łojasiewicz inequality as a general tool for analy...
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11/28/2019
Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization
In this paper, we provide some analysis on the asymptotic escape of stri...
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04/10/2018