Quantifying Privacy via Information Density

arXiv:2402.12967v1 Announce Type: cross
Abstract: We examine the relationship between privacy metrics that utilize information density to measure information leakage between a private and a disclosed random variable. Firstly, we prove that bounding the information density from above or below in turn implies a lower or upper bound on the information density, respectively. Using this result, we establish new relationships between local information privacy, asymmetric local information privacy, pointwise maximal leakage and local differential privacy. We further provide applications of …

arxiv cs.cr cs.it information information leakage math.it measure metrics privacy private prove random relationship turn variable