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Adaptive Stochastic Gradient Descents on Manifolds with an Application on Weighted Low-Rank Approximation

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arxiv 2503.11833 v2 pith:L4ZAKD4G submitted 2025-03-14 math.OC cs.AIcs.LG

classification math.OCcs.AIcs.LG
keywords adaptiveapproximationdescentsgradientlow-rankmanifoldsstochasticweighted
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We prove a convergence theorem for stochastic gradient descents on manifolds with adaptive learning rate and apply it to the weighted low-rank approximation problem.

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