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Paper · arXiv

Individual-heterogeneous sub-Gaussian Mixture Models

The classical Gaussian mixture model assumes homogeneity within clusters, an assumption that often fails in real-world data where observations naturally exhibit varying scales or intensities. To address this, we introduce the individual-heterogeneous sub-Gaussian mixture model, a flexible framework that assigns each observation its own heterogeneity parameter, thereby explicitly capturing the heterogeneity inherent in practical applications. Built upon this model, we propose an efficient spectral method that provably achieves exact recovery of the true cluster labels under mild separation conditions, even in high-dimensional settings where the number of features far exceeds the number of ...

AuthorsHuan Qing
Primary categorystat.ML
Published7 April 2026
Last updated at source7 April 2026
stat.MLcs.LG
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