arXiv Machine Learning By Katharine M. Clark, Paul D. McNicholas

Clustering Three-Way Data with Outliers

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The paper introduces a method for clustering matrix-variate normal data that accounts for outliers. It extends the OCLUST algorithm by employing subset log-likelihood distributions and an iterative trimming procedure. This approach enables robust clustering of complex structured data such as images and time series.

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arXiv Statistics ML
Aug 31

Robust model-based clustering via mixtures of multivariate pseudo-Voigt distributions

The paper introduces a multivariate pseudo‑Voigt mixture model, combining Gaussian and Cauchy components with shared location and scale parameters, for robust clustering and outlier detection. Parameter estimation is performed using an EM algorithm that leverages latent variables for efficient likelihood inference. The authors evaluate the model through simulations and real data, comparing it to established robust mixtures such as contaminated normals, and demonstrate its effectiveness on heavy‑tailed datasets.

By Babak F. Dehkordi, Jeffrey L. Andrews, Andrew Jirasek