36 citations · 92 across the 17 of their papers we have counts for
9 papers · 1 filter
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…
Statistical Inference in Mean-Field Variational Bayes
Wei Han, Yun Yang
We conduct non-asymptotic analysis on the mean-field variational inference for approximating posterior distributions in complex Bayesian models that may involve latent variables. W…
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…
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…
On Statistical Optimality of Variational Bayes
Debdeep Pati, Anirban Bhattacharya, Yun Yang
The article addresses a long-standing open problem on the justification of using variational Bayes methods for parameter estimation. We provide general conditions for obtaining opt…
Frequentist coverage and sup-norm convergence rate in Gaussian process regression
Yun Yang, Anirban Bhattacharya, Debdeep Pati
Gaussian process (GP) regression is a powerful interpolation technique due to its flexibility in capturing non-linearity. In this paper, we provide a general framework for understa…