Conditional Gradient Methods via Stochastic Path-Integrated Differential Estimator


Alp Yurtsever, Suvrit Sra, Volkan Cevher ;
Proceedings of the 36th International Conference on Machine Learning, PMLR 97:7282-7291, 2019.


We propose a class of variance-reduced stochastic conditional gradient methods. By adopting the recent stochastic path-integrated differential estimator technique (SPIDER) of Fang et. al. (2018) for the classical Frank-Wolfe (FW) method, we introduce SPIDER-FW for finite-sum minimization as well as the more general expectation minimization problems. SPIDER-FW enjoys superior complexity guarantees in the non-convex setting, while matching the best known FW variants in the convex case. We also extend our framework a la conditional gradient sliding (CGS) of Lan & Zhou. (2016), and propose SPIDER-CGS.

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