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Stochastic Block Mirror Descent Methods for Nonsmooth and Stochastic Optimization

Stochastic Block Mirror Descent Methods for Nonsmooth and Stochastic Optimization

In this paper, we present a new stochastic algorithm, namely, the stochastic block mirror descent (SBMD) method for solving large-scale nonsmooth and stochastic optimization problems. The basic idea of this algorithm is to incorporate block coordinate decomposition and an incremental block averaging scheme into the classic (stochastic) mirror descent method, …