Faster First-Order Methods for Stochastic Non-Convex Optimization on Riemannian Manifolds

First-order non-convex Riemannian optimization algorithms have gained recent popularity in structured machine learning problems including principal component analysis and low-rank matrix completion. The current paper presents an efficient Riemannian Stochastic Path Integrated Differential EstimatoR...

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Vydáno v:	IEEE transactions on pattern analysis and machine intelligence Ročník 43; číslo 2; s. 459 - 472
Hlavní autoři:	Zhou, Pan, Yuan, Xiao-Tong, Yan, Shuicheng, Feng, Jiashi
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	United States IEEE 01.02.2021 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Algorithms Complexity Complexity theory Computational geometry Convergence Convex analysis Convexity Machine learning Manifolds Minimization non-convex optimization online learning Optimization Principal components analysis Riemann manifold Riemannian optimization Signal processing algorithms Stochastic processes stochastic variance-reduced algorithm
ISSN:	0162-8828, 1939-3539, 2160-9292, 1939-3539
On-line přístup:	Získat plný text
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