Nicolas Ruiz · 2026 · arXiv
DOI: 10.48550/arXiv.2610.26460 · open-access PDF
De una fórmula alternativa propuesta de matrices de aleatorización que cumpla con las garantías de privacidad diferenciales, mostramos que, bajo la aleatorización a nivel de atributo y donde la aleatorización de la distribución entera se caracteriza por los productos de Kronecker, cualquier cruce del conjunto de datos anonimizado que involucre atributos distintos es igual al cruce original multiplicado por parámetros de atenuación, determinados por la parte del p total.
Machine translation (Meta M2M100); the English original follows.
This paper derives an exact attenuation formula for multivariate cross-moments under differential privacy achieved through randomized response. From a proposed alternative formulation of randomization matrices compliant with differential privacy guarantees we show that, under attribute-level randomization and where the randomization of the whole distribution is characterized by Kronecker products, any cross-moment of the anonymized dataset involving distinct attributes is equal to the original cross-moment multiplied by attenuation parameters, themselves determined by the part of the overall p
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