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Stochastic Recursive Gradient Algorithm for Nonconvex Optimization

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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.

fields

cs.LG 1

years

2019 1

verdicts

UNVERDICTED 1

representative citing papers

Accelerating Mini-batch SARAH by Step Size Rules

cs.LG · 2019-06-20 · unverdicted · novelty 4.0

MB-SARAH-RBB uses a random Barzilai-Borwein step size to accelerate mini-batch SARAH, with a linear convergence proof and improved complexity for strongly convex objectives.

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  • Accelerating Mini-batch SARAH by Step Size Rules cs.LG · 2019-06-20 · unverdicted · none · ref 29 · internal anchor

    MB-SARAH-RBB uses a random Barzilai-Borwein step size to accelerate mini-batch SARAH, with a linear convergence proof and improved complexity for strongly convex objectives.