Stochastic Recursive Gradient Algorithm for Nonconvex Optimization

May 20, 2017 ยท Declared Dead ยท ๐Ÿ› arXiv.org

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Authors Lam M. Nguyen, Jie Liu, Katya Scheinberg, Martin Takรกฤ arXiv ID 1705.07261 Category stat.ML: Machine Learning (Stat) Cross-listed cs.LG, math.OC Citations 98 Venue arXiv.org Last Checked 5 months ago
Abstract
In this paper, we study and analyze the mini-batch version of StochAstic Recursive grAdient algoritHm (SARAH), a method employing the stochastic recursive gradient, for solving empirical loss minimization for the case of nonconvex losses. We provide a sublinear convergence rate (to stationary points) for general nonconvex functions and a linear convergence rate for gradient dominated functions, both of which have some advantages compared to other modern stochastic gradient algorithms for nonconvex losses.
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