Controlling the false discovery rate in high-dimensional linear models using model-X knockoffs and $p$-values
结合 model-X knockoffs 与 p 值的高维线性模型 FDR 控制
We propose a novel multiple testing methodology for controlling the false discovery rate (FDR) in high-dimensional linear models that integrates model-X knockoff techniques with debiased penalized regression estimators. At the foundation of our methodology, we construct and study two sets of naturally paired high-dimensional test statistics and the associated $p$-values for evaluating the same null hypotheses. The first set is shown to be asymptotically mutually independent,…