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A Simple Linear Convergence Analysis of the Point-SAGA Algorithm

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arxiv 2405.19951 v1 pith:DHWC5F4Q submitted 2024-05-30 math.OC

A Simple Linear Convergence Analysis of the Point-SAGA Algorithm

classification math.OC
keywords algorithmconvergenceconvexfunctionsiterationlinearonlypoint-saga
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Point-SAGA is a randomized algorithm for minimizing a sum of convex functions using their proximity operators (proxs), proposed by Defazio (2016). At every iteration, the prox of only one randomly chosen function is called. We generalize the algorithm to any number of prox calls per iteration, not only one, and propose a simple proof of linear convergence when the functions are smooth and strongly convex.

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