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Robust Classification via Support Vector Machines

Asimit, V. ORCID: 0000-0002-7706-0066, Kyriakou, I. ORCID: 0000-0001-9592-596X, Santoni, S. ORCID: 0000-0002-5928-3901 , Scognamiglio, S. & Zhu, R. ORCID: 0000-0002-9944-0369 (2022). Robust Classification via Support Vector Machines. Risks, 10(8), 154. doi: 10.3390/risks10080154


Classification models are very sensitive to data uncertainty, and finding robust classifiers that are less sensitive to data uncertainty has raised great interest in the machine learning literature. This paper aims to construct robust support vector machine classifiers under feature data uncertainty via two probabilistic arguments. The first classifier, Single Perturbation, reduces the local effect of data uncertainty with respect to one given feature and acts as a local test that could confirm or refute the presence of significant data uncertainty for that particular feature. The second classifier, Extreme Empirical Loss, aims to reduce the aggregate effect of data uncertainty with respect to all features, which is possible via a trade-off between the number of prediction model violations and the size of these violations. Both methodologies are computationally efficient and our extensive numerical investigation highlights the advantages and possible limitations of the two robust classifiers on synthetic and real-life insurance claims and mortgage lending data, but also the fairness of an automatized decision based on our classifier.

Publication Type: Article
Additional Information: © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
Publisher Keywords: binary robust classification; insurance fraud prediction; mortgage lending prediction; support vector machine
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics
Departments: Bayes Business School > Actuarial Science & Insurance
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