Nicolas Ruiz · 2026 · arXiv
DOI: 10.48550/arXiv.2610.26460 · open-access PDF
A partir de uma formulação alternativa proposta de matrizes de aleatorização em conformidade com as garantias de privacidade diferencial, mostramos que, sob a aleatorização de nível de atributo e onde a aleatorização de toda a distribuição é caracterizada por produtos Kronecker, qualquer cruzamento do conjunto de dados anonimizados envolvendo atributos distintos é igual ao cruzamento original multiplicado por parâmetros de atenuação, determinados por parte do 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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