论文标题

泄漏措施的字母

An Alphabet of Leakage Measures

论文作者

Gilani, Atefeh, Kurri, Gowtham R., Kosut, Oliver, Sankar, Lalitha

论文摘要

我们介绍了一个称为最大$α,β$渗出量的信息泄漏措施,由实数$α$和$β$参数化。该度量是通过涉及对手猜测数据的未知功能的操作定义形式化的。我们获得了该度量的简单,可计算的表达式,并表明它满足了几种基本属性,例如固定$α$,非负性,数据处理不等式的$β$中的单调性,以及对独立发行版的添加性。最后,我们通过表明它桥接了几种已知的泄漏措施,包括最大$α$α$ - 裂解$(β= 1)$,最大泄漏$(α= \ infty,β= 1)$,局部微分隐私$(α= \ infty,β= \ infty)$(β= \ infty)$(lastialy)$(α)$(β= 1)$(β= 1)$(β= 1)$(β= \ infty)$(β= 1)$(β= 1)$(β= 1)$(β= 1)$(β= 1)$(β= \ infty)$(β= 1)$(

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 $(α=\infty,β=1)$, local differential privacy $(α=\infty,β=\infty)$, and local Renyi differential privacy $(α=β)$.

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