A robust approach to model-based classification based on trimming and constraints

Andrea Cappozzo (), Francesca Greselin () and Thomas Brendan Murphy ()
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Andrea Cappozzo: University of Milano-Bicocca
Thomas Brendan Murphy: University College Dublin

Advances in Data Analysis and Classification, 2020, vol. 14, issue 2, No 5, 327-354

Abstract: Abstract In a standard classification framework a set of trustworthy learning data are employed to build a decision rule, with the final aim of classifying unlabelled units belonging to the test set. Therefore, unreliable labelled observations, namely outliers and data with incorrect labels, can strongly undermine the classifier performance, especially if the training size is small. The present work introduces a robust modification to the Model-Based Classification framework, employing impartial trimming and constraints on the ratio between the maximum and the minimum eigenvalue of the group scatter matrices. The proposed method effectively handles noise presence in both response and exploratory variables, providing reliable classification even when dealing with contaminated datasets. A robust information criterion is proposed for model selection. Experiments on real and simulated data, artificially adulterated, are provided to underline the benefits of the proposed method.

Keywords: Model-based classification; Label noise; Outliers detection; Impartial trimming; Eigenvalues restrictions; Robust estimation; 62H30; 62F35 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s11634-019-00371-w

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