Controlling False Discovery in Arbitrarily Structured Hypothesis Spaces via Reproducing Kernels
用再生核控制任意结构假设空间中的错误发现
Large-scale hypothesis testing is central to modern science, where controlling the False Discovery Rate (FDR) has become the standard approach to managing false positives across many simultaneous tests. Hypotheses rarely exist in isolation; they often exhibit structure through proximity, connectivity, or hierarchy. This structure represents both a challenge and an opportunity: while classical methods treat these dependencies as obstacles requiring conservative correction,…