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DISTA-LP: Privacy-Preserving Distributed Linear Programming for Metric Differential Privacy

Michael Oluwole, Ruiyao Liu, Aleksander Stevens, Chenxi Qiu · 2026 · arXiv

DOI: 10.48550/arXiv.2610.27615 · open-access PDF

German

Lineare Programmierung (LP) Mechanismen für metrische Differential-Privatsphäre (mDP) ermöglichen fein gesäumte, Aufgabenbewusste Utility-Steuerung, aber sie sind berechnend teuer und werden in verteilten Einstellungen privatsphäre-brüchig: das Hochladen benutzerspezifischer LP-Koeffizient-Matrixen (z.B. Entfernungs- und Verlustblöcke) auf einen zentralen Lösungsanbieter kann selbst sensible Informationen entgehen. Wir präsentieren DISTA-LP, ein Datenschutz-bewahrendes verteiltes mDP-Optimierungs-Framework, das Rohkoeffizient-Uploads durch kompakte Surrogate-Parameter-Matrizen ersetzt und nur kalibrierte, gestörte

Machine translation (Meta M2M100); the English original follows.

Abstract

Linear-programming (LP) mechanisms for metric differential privacy (mDP) enable fine-grained, task-aware utility control, but they are computationally expensive and become privacy-fragile in distributed settings: uploading user-specific LP coefficient matrices (e.g., distance and loss blocks) to a central solver can itself leak sensitive information. We present DISTA-LP, a privacy-preserving distributed mDP optimization framework that replaces raw coefficient uploads with compact surrogate parameterizations and releases only calibrated, perturbed parameter vectors, thereby reducing both upload

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