Mini-Batch Primal and Dual Methods for SVMs


Martin Takac, Avleen Bijral, Peter Richtarik, Nati Srebro ;
Proceedings of the 30th International Conference on Machine Learning, PMLR 28(3):1022-1030, 2013.


We address the issue of using mini-batches in stochastic optimization of SVMs. We show that the same quantity, the spectral norm of the data, controls the parallelization speedup obtained for both primal stochastic subgradient descent(SGD) and stochastic dual coordinate ascent (SCDA) methods and use it to derive novel variants of mini-batched SDCA. Our guarantees for both methods are expressed in terms of the original nonsmooth primal problem based on the hinge-loss.

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