## SLiSeS: Subsampled Line Search Spectral Gradient Method for Finite Sums

Citation SLiSes Article Download View SLiSeS: Subsampled Line Search Spectral Gradient Method for Finite Sums

Citation SLiSes Article Download View SLiSeS: Subsampled Line Search Spectral Gradient Method for Finite Sums

We propose a stochastic first-order trust-region method with inexact function and gradient evaluations for solving finite-sum minimization problems. At each iteration, the function and the gradient are approximated by sampling. The sample size in gradient approximations is smaller than the sample size in function approximations and the latter is determined using a deterministic rule inspired … Read more

An algorithm is proposed for solving stochastic and finite sum minimization problems. Based on a trust region methodology, the algorithm employs normalized steps, at least as long as the norms of the stochastic gradient estimates are within a specified interval. The complete algorithm—which dynamically chooses whether or not to employ normalized steps—is proved to have … Read more