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Stochastic Variance Reduced Optimization for Nonconvex Sparse Learning

ICML 2016 · Optimization › Nonconvex and smooth optimization · approach: Stochastic variance reduction · 33 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add SVRG-style variance reduction to stochastic gradient hard thresholding (SGHT -> SVR-GHT)SGHT · Simulated sparse regression, Sigma_ij=0.5, (n,b)=(10000,1)relative estimation error: 0.21676 -> 0.02614Helped
add variance reduction (SGHT -> SVR-GHT)SGHT · Simulated sparse regression, Sigma_ij=0.1, (n,b)=(200,50)relative estimation error: 0.06412 -> 0.00970Helped
add variance reduction (SGHT -> SVR-GHT)SGHT · RCV1 GCAT, (n,b)=(100,50)misclassification rate: 0.09142 -> 0.03444Helped
replace full-gradient GHT with SVR-GHTGHT · Simulated sparse regression, Sigma_ij=0.1, (n,b)=(10000,1)relative estimation error at optimal step size: 0.00851 -> 0.00968No clear effect
replace full-gradient GHT with SVR-GHTGHT · Simulated data and RCV1convergence speed in passes over dataHelped

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