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On spike and slab empirical Bayes multiple testing

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abstract

This paper explores a connection between empirical Bayes posterior distributions and false discovery rate (FDR) control. In the Gaussian sequence model, this work shows that empirical Bayes-calibrated spike and slab posterior distributions allow a correct FDR control under sparsity. Doing so, it offers a frequentist theoretical validation of empirical Bayes methods in the context of multiple testing. Our theoretical results are illustrated with numerical experiments.

fields

math.ST 1

years

2019 1

verdicts

UNVERDICTED 1

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  • Graph inference with clustering and false discovery rate control math.ST · 2019-07-23 · unverdicted · none · ref 3 · internal anchor

    Introduces NSBM and a VEM-plus-FDR procedure that controls false discovery rate for graph inference with optimal true discovery rate up to small remainder terms as graph size grows.