Cutoff for Exact Recovery of Gaussian Mixture Models
Xiaohui Chen, Yun Yang · IEEE Transactions on Information Theory · 2021
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 cluster sizes. Moreover, we show that a semidefinite programming (SDP) relaxation of the K-means clustering method achieves such sharp threshold for exact recovery without assuming the symmetry of cluster centers.