BriefGPT.xyz
Apr, 2017
非凸低秩问题中不存在虚假局部极小点：统一的几何分析
No Spurious Local Minima in Nonconvex Low Rank Problems: A Unified Geometric Analysis
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Rong Ge, Chi Jin, Yi Zheng
TL;DR
发展了一种新框架，旨在捕捉一般非凸低秩矩阵问题的共同局面，包括矩阵感知，矩阵完成和鲁棒PCA，在优化风景线的现有分析的基础上进行了连接和简化，自然地导致了不对称矩阵完成和鲁棒PCA的新结果
Abstract
In this paper we develop a new framework that captures the common landscape underlying the common non-convex
low-rank matrix
problems including
matrix sensing
,
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