Stochastic Recursive Gradient Algorithm for Nonconvex Optimization

20 May 2017  ·  Lam M. Nguyen, Jie Liu, Katya Scheinberg, Martin Takáč ·

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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