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
arXiv:2508. 00110v2 Announce Type: replace-cross Abstract: Functional data present unique challenges for clustering due to their infinite-dimensional nature and potential sensitivity to outliers.
By Katharine M. Clark, Paul D. McNicholas
arXiv:2505. 19925v2 Announce Type: replace-cross Abstract: The sample covariance matrix is a cornerstone of multivariate statistics, but it is highly sensitive to outliers.
By Fabio Centofanti, Mia Hubert, Peter J. Rousseeuw
arXiv:2511. 17823v2 Announce Type: replace Abstract: Clustering algorithms have long been the topic of research, representing the more popular side of unsupervised learning.
By Naitik Gada (Rochester Institute of Technology)
arXiv:2608.30093v1 Announce Type: cross
Abstract: We introduce a robust clustering method, MK-means DPD, that estimates cluster centers and covariance matrices using density power divergence (DPD) me...
By Anirban Mondal, Paromita Banerjee, Abhijit Mandal
arXiv:2606. 19255v1 Announce Type: new Abstract: Time series anomaly detection plays a crucial role in a wide range of real-world applications.
By Xingze Zheng, Hanyin Cheng, Siyuan Wang, Yiting Hao, Peng Chen, Yuan Jun, Yang Shu