An Alphabet of Leakage Measures
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We introduce a family of information leakage measures called maximal α,β-leakage, parameterized by real numbers α and β. The measure is formalized via an operational definition involving an adversary guessing an unknown function of the data given the released data. We obtain a simple, computable expression for the measure and show that it satisfies several basic properties such as monotonicity in β for a fixed α, non-negativity, data processing inequalities, and additivity over independent releases. Finally, we highlight the relevance of this family by showing that it bridges several known leakage measures, including maximal α-leakage (β=1), maximal leakage (α=∞,β=1), local differential privacy (α=∞,β=∞), and local Renyi differential privacy (α=β).
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