Cutoff for exact recovery of Gaussian mixture models

01/05/2020 ∙ by Xiaohui Chen, et al. ∙ 0

We determine the 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.

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