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SAGA: A Fast Incremental Gradient Method With Support for Non-Strongly Convex Composite Objectives

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arxiv 1407.0202 v3 pith:FNGHSSZZ submitted 2014-07-01 cs.LG math.OCstat.ML

SAGA: A Fast Incremental Gradient Method With Support for Non-Strongly Convex Composite Objectives

classification cs.LG math.OCstat.ML
keywords sagamethodcompositeconvergenceconvexfastgradientincremental
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work we introduce a new optimisation method called SAGA in the spirit of SAG, SDCA, MISO and SVRG, a set of recently proposed incremental gradient algorithms with fast linear convergence rates. SAGA improves on the theory behind SAG and SVRG, with better theoretical convergence rates, and has support for composite objectives where a proximal operator is used on the regulariser. Unlike SDCA, SAGA supports non-strongly convex problems directly, and is adaptive to any inherent strong convexity of the problem. We give experimental results showing the effectiveness of our method.

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