Multi-Class Support Vector Machine with Differential Privacy

Fuente: arXiv
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Autori principali: Park, Jinseong, Choi, Yujin, Lee, Jaewook
Natura: Preprint
Pubblicazione: 2025
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author Park, Jinseong
Choi, Yujin
Lee, Jaewook
author_facet Park, Jinseong
Choi, Yujin
Lee, Jaewook
contents With the increasing need to safeguard data privacy in machine learning models, differential privacy (DP) is one of the major frameworks to build privacy-preserving models. Support Vector Machines (SVMs) are widely used traditional machine learning models due to their robust margin guarantees and strong empirical performance in binary classification. However, applying DP to multi-class SVMs is inadequate, as the standard one-versus-rest (OvR) and one-versus-one (OvO) approaches repeatedly query each data sample when building multiple binary classifiers, thus consuming the privacy budget proportionally to the number of classes. To overcome this limitation, we explore all-in-one SVM approaches for DP, which access each data sample only once to construct multi-class SVM boundaries with margin maximization properties. We propose a novel differentially Private Multi-class SVM (PMSVM) with weight and gradient perturbation methods, providing rigorous sensitivity and convergence analyses to ensure DP in all-in-one SVMs. Empirical results demonstrate that our approach surpasses existing DP-SVM methods in multi-class scenarios.
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id arxiv_https___arxiv_org_abs_2510_04027
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multi-Class Support Vector Machine with Differential Privacy
Park, Jinseong
Choi, Yujin
Lee, Jaewook
Machine Learning
Cryptography and Security
With the increasing need to safeguard data privacy in machine learning models, differential privacy (DP) is one of the major frameworks to build privacy-preserving models. Support Vector Machines (SVMs) are widely used traditional machine learning models due to their robust margin guarantees and strong empirical performance in binary classification. However, applying DP to multi-class SVMs is inadequate, as the standard one-versus-rest (OvR) and one-versus-one (OvO) approaches repeatedly query each data sample when building multiple binary classifiers, thus consuming the privacy budget proportionally to the number of classes. To overcome this limitation, we explore all-in-one SVM approaches for DP, which access each data sample only once to construct multi-class SVM boundaries with margin maximization properties. We propose a novel differentially Private Multi-class SVM (PMSVM) with weight and gradient perturbation methods, providing rigorous sensitivity and convergence analyses to ensure DP in all-in-one SVMs. Empirical results demonstrate that our approach surpasses existing DP-SVM methods in multi-class scenarios.
title Multi-Class Support Vector Machine with Differential Privacy
topic Machine Learning
Cryptography and Security
url https://arxiv.org/abs/2510.04027