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Xi-Liang Lu

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#machine learning Preprint Sep 2026

Near-Optimal Nonconvex Matrix Completion

Riemannian gradient descent (RGD) and Riemannian Gauss--Newton (RGN) methods are analyzed, finding that the resulting RGD iterates converge linearly, whereas RGN eventually converges Q-quadratically.

Jian-Feng Cai, Xi-Liang Lu, Juntao You · 0 citations
Open access Sep 2026

On convergence rates of stochastic gradient descent for linear inverse problems

Stochastic gradient methods have gained increasing attention for solving large-scale inverse problems due to their computational efficiency. However, their theoretical justification in the context of ill-posed problems remains underdeveloped, particularly regarding convergence rate analysis, where existing results typi...

Qi-Nian Jin, Xi-Liang Lu, Lin Tian · 0 citations

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