3 papers
stat.ME2025
Testing for latent structure via the Wilcoxon--Wigner random matrix of normalized rank statistics
Jonquil Z. Liao, Joshua Cape
This paper considers the problem of testing for latent structure in large symmetric data matrices. The goal here is to develop statistically principled methodology that is flexible…
math.ST2025
Eigenvector fluctuations and limit results for random graphs with infinite rank kernels
Minh Tang, Joshua R. Cape
This paper systematically studies the behavior of the leading eigenvectors for independent edge undirected random graphs generated from a general latent position model whose link f…
stat.ML2024
Robust spectral clustering with rank statistics
Joshua Cape, Xianshi Yu, Jonquil Z. Liao
This paper analyzes the statistical performance of a robust spectral clustering method for latent structure recovery in noisy data matrices. We consider eigenvector-based clusterin…