From 9ba6ef4029a4a867df4c1abc99e5b887ff4935b2 Mon Sep 17 00:00:00 2001 From: Manos Date: Sun, 19 Sep 2021 23:36:18 +0200 Subject: [PATCH] thething: Reviwed def:thething-prv --- text/problem/thething/problem.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/text/problem/thething/problem.tex b/text/problem/thething/problem.tex index c506436..319dcbf 100644 --- a/text/problem/thething/problem.tex +++ b/text/problem/thething/problem.tex @@ -139,8 +139,8 @@ We proceed to propose \emph{{\thething} privacy}, a configurable variation of di \begin{definition} % [{\Thething} privacy] \label{def:thething-prv} - Let $\mathcal{M}$ be a privacy mechanism with range $\mathcal{O}$ and domain $\mathcal{S}_T$ being the set of all time series with length $|T|$, where $T$ is a sequence of timestamps. - $\mathcal{M}$ satisfies {\thething} $\varepsilon$-differential privacy (or, simply, {\thething} privacy) if for all sets $O \subseteq \mathcal{O}$, and for every pair of {\thething}-neighboring time series $S_T$, $S_T'$, + Let $\mathcal{M}$ be a privacy mechanism with range $\mathcal{O}$ that takes as input a time series. + We say that $\mathcal{M}$ satisfies {\thething} $\varepsilon$-differential privacy (or, simply, {\thething} privacy) if for all sets of possible outputs $O \subseteq \mathcal{O}$, and for every pair of {\thething}-neighboring time series $S_T$, $S_T'$, % and all $T = (t)_{t \in \mathbb{N}}$, it holds that $$Pr[\mathcal{M}(S_T) \in O] \leq e^\varepsilon Pr[\mathcal{M}(S_T') \in O]$$