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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 -component Gaussian mixture model with equal clust…
math.ST2019
Diffusion -means clustering on manifolds: provable exact recovery via semidefinite relaxations
Xiaohui Chen, Yun Yang
We introduce the {\it diffusion -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 -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…