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Covariate Adjusted Precision Matrix Estimation via Nonconvex Optimization

ICML 2018 · Learning theory and algorithms › Matrix and tensor methods · approach: Nonconvex low-rank and sparse optimization

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
alternating gradient descent with hard thresholding (vs. convex/two-stage baselines)covariate adjusted precision matrix estimation · synthetic Hub/Band/Cluster graphs, n=m=d=500 to 1500Frobenius error of precision matrix and running timeHelped
alternating GD with hard thresholding instead of Capmeprecision matrix estimation · synthetic settings where Capme ranrunning time (s): e.g. 2.99s vs 345.44s at n=m=d=500 (Hub)Helped
alternating GD with hard thresholdingyeast eQTL gene network recovery · yeast cell cycle, 92 genesF1 score: 0.46 vs 0.40 best baseline (Alt-NCD)Helped
alternating GD with hard thresholdingGTEx gene regulation network recovery · GTEx whole blood, 53 genesF1 scoreHelped

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