129 citations · 555 across the 28 of their papers we have counts for
4 papers · 1 filter
Smoothed Nested Testing on Directed Acyclic Graphs
Jackson H. Loper, Lihua Lei, William Fithian +1
We consider the problem of multiple hypothesis testing when there is a logical nested structure to the hypotheses. When one hypothesis is nested inside another, the outer hypothesi…
Unified Eigenspace Perturbation Theory for Symmetric Random Matrices
Lihua Lei
Modern applications in statistics, computer science and network science have seen tremendous values of finer matrix spectral perturbation theory. In this paper, we derive a generic…
An Assumption-Free Exact Test For Fixed-Design Linear Models With Exchangeable Errors
Lihua Lei, Peter J. Bickel
We propose the Cyclic Permutation Test (CPT) to test general linear hypotheses for linear models. This test is non-randomized and valid in finite samples with exact Type I error $α…
On the Adaptivity of Stochastic Gradient-Based Optimization
Lihua Lei, Michael I. Jordan
Stochastic-gradient-based optimization has been a core enabling methodology in applications to large-scale problems in machine learning and related areas. Despite the progress, the…