Xiaohui Chen

collaborators

4 papers

math.PR2020

A note on Stein equation for weighted sums of independent $χ^{2}$ distributions

Xiaohui Chen, Partha Dey

This note provides the Stein equation for weighted sums of independent $χ^{2}$ distributions.

math.ST2020

Cutoff for exact recovery of Gaussian mixture models

Xiaohui Chen, Yun Yang

We determine the information-theoretic cutoff value on separation of cluster centers for exact recovery of cluster labels in a $K$ -component Gaussian mixture model with equal clust…

math.ST2019

Diffusion $K$ -means clustering on manifolds: provable exact recovery via semidefinite relaxations

Xiaohui Chen, Yun Yang

We introduce the {\it diffusion $K$ -means} clustering method on Riemannian submanifolds, which maximizes the within-cluster connectedness based on the diffusion distance. The diffu…

math.ST2018

Hanson-Wright inequality in Hilbert spaces with application to $K$ -means clustering for non-Euclidean data

Xiaohui Chen, Yun Yang

We derive a dimension-free Hanson-Wright inequality for quadratic forms of independent sub-gaussian random variables in a separable Hilbert space. Our inequality is an infinite-dim…

A note on Stein equation for weighted sums of independent χ2 distributions

Cutoff for exact recovery of Gaussian mixture models

Diffusion K-means clustering on manifolds: provable exact recovery via semidefinite relaxations

Hanson-Wright inequality in Hilbert spaces with application to K-means clustering for non-Euclidean data

A note on Stein equation for weighted sums of independent $χ^{2}$ distributions

Diffusion $K$ -means clustering on manifolds: provable exact recovery via semidefinite relaxations

Hanson-Wright inequality in Hilbert spaces with application to $K$ -means clustering for non-Euclidean data