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Nonconvex Variance Reduced Optimization with Arbitrary Sampling

ICML 2019 · Optimization › Nonconvex and smooth optimization · approach: Stochastic variance reduction · 25 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
importance sampling (optimal independent sampling S*) instead of uniform sampling (ablation)SVRG, SAGA, SARAH non-convex minibatch methods · LIBSVM australian, covtype, ijcnn1, splice (logistic-type regression loss)gradient norm / function value convergence: up to 4 orders of magnitude on australian (b=2)Helped
minibatch size increase with optimal sampling S* (ablation)SVRG, SAGA, SARAH · LIBSVM dataset (simulated multi-core, cores = minibatch size)iterations/epochs to convergence: linear and sometimes superlinear speedup up to minibatch size 250Helped
approximate independent sampling Sa instead of independent sampling S* (ablation)SVRG/SAGA/SARAH importance sampling · LIBSVM datasetsconvergence speedNo clear effect

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