Cutoff for Exact Recovery of Gaussian Mixture Models

نویسندگان

چکیده

We determine the information-theoretic cutoff value on separation of cluster centers for exact recovery labels in a K-component Gaussian mixture model with equal sizes. Moreover, we show that semidefinite programming (SDP) relaxation K-means clustering method achieves such sharp threshold without assuming symmetry centers.

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ژورنال

عنوان ژورنال: IEEE Transactions on Information Theory

سال: 2021

ISSN: ['0018-9448', '1557-9654']

DOI: https://doi.org/10.1109/tit.2021.3063155