Zhou Fan

collaborators

3 papers

math.ST2026

Empirical Bayes linear regression in high dimensions: Method of moments and sub-linear sample complexity

Zhou Fan, Yandi Shen, Haoyu Wang +1

We study empirical Bayes estimation of the prior in high-dimensional linear regression $y = X β + ε$ , where the regression coefficients are d…

math.ST2026

Geometric planted matchings in high dimensions: The power of multiple views

Timothy L. H. Wee, Kaylee Y. Yang, Zhou Fan +1

We study the problem of recovering the correspondence between a collection of $n$ points in $R^{d}$ and a noisy, permuted version of those points. In the high-dimensional re…

math.ST2026

Bayesian inference of planted matchings: Local posterior approximation and infinite-volume limit

Zhou Fan, Timothy L. H. Wee, Kaylee Y. Yang

We study Bayesian inference of an unknown matching $π^{*}$ between two correlated random point sets ${X_{i}}_{i = 1}^{n}$ and ${Y_{i}}_{i = 1}^{n}$ in $[0, 1]^{d}$ , under a critical scaling $\|…