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Article

Severity-Regularized Deep Support Vector Data Description with Application to Intrusion Detection in Cybersecurity

Department of Industrial Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Mathematics 2025, 13(23), 3741; https://doi.org/10.3390/math13233741
Submission received: 27 October 2025 / Revised: 17 November 2025 / Accepted: 18 November 2025 / Published: 21 November 2025
(This article belongs to the Special Issue Advances in Algorithm Design and Machine Learning)

Abstract

Anomalies in real systems differ widely in impact, as such, missing a high-severity event can be far costlier and consequential than flagging a benign outlier. This paper introduces Severity-Regularized Deep Support Vector Data Description, an extention of deep support vector data description that incorporates severity for various anomaly types, reflecting the application-specific importance assigned to each type. The formulation retains the well-known deep support vector data description decision geometry and scoring system while allowing for specific control over the balance between false alarm rate and the prioritization of detecting anomalies with greater impact. In the proposed loss function, we introduce regularizing parameters that control the importance assign to each anomaly type. Experiments are carried out on a demanding simulated dataset and a real-world intrusion detection case study utilizing the Australian Defence Force Academy Linux Dataset. The results demonstrate the effectiveness of the proposed approach in detecting highly severe anomalies while maintaining competitive overall performance.
Keywords: anomaly detection; cybersecurity; Deep SVDD; host-based intrusion detection (HIDS); severity-aware intrusion detection; Severity-Regularized Deep SVDD (SR-DeepSVDD); Support Vector Data Description (SVDD) anomaly detection; cybersecurity; Deep SVDD; host-based intrusion detection (HIDS); severity-aware intrusion detection; Severity-Regularized Deep SVDD (SR-DeepSVDD); Support Vector Data Description (SVDD)

Share and Cite

MDPI and ACS Style

Alhindi, T.J. Severity-Regularized Deep Support Vector Data Description with Application to Intrusion Detection in Cybersecurity. Mathematics 2025, 13, 3741. https://doi.org/10.3390/math13233741

AMA Style

Alhindi TJ. Severity-Regularized Deep Support Vector Data Description with Application to Intrusion Detection in Cybersecurity. Mathematics. 2025; 13(23):3741. https://doi.org/10.3390/math13233741

Chicago/Turabian Style

Alhindi, Taha J. 2025. "Severity-Regularized Deep Support Vector Data Description with Application to Intrusion Detection in Cybersecurity" Mathematics 13, no. 23: 3741. https://doi.org/10.3390/math13233741

APA Style

Alhindi, T. J. (2025). Severity-Regularized Deep Support Vector Data Description with Application to Intrusion Detection in Cybersecurity. Mathematics, 13(23), 3741. https://doi.org/10.3390/math13233741

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