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Cutoff for Exact Recovery of Gaussian Mixture Models

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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… Click to show full abstract

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.

Keywords: cutoff exact; cluster; exact recovery; recovery; gaussian mixture

Journal Title: IEEE Transactions on Information Theory
Year Published: 2021

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