From 8aa39aca94320b2e192e0a46099bc339d4a55eb8 Mon Sep 17 00:00:00 2001 From: Yuchen Pei Date: Thu, 14 Mar 2019 11:54:34 +0100 Subject: minor --- posts/2019-03-14-great-but-manageable-expectations.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'posts/2019-03-14-great-but-manageable-expectations.md') diff --git a/posts/2019-03-14-great-but-manageable-expectations.md b/posts/2019-03-14-great-but-manageable-expectations.md index 5ed5134..be7bf81 100644 --- a/posts/2019-03-14-great-but-manageable-expectations.md +++ b/posts/2019-03-14-great-but-manageable-expectations.md @@ -108,9 +108,9 @@ $$\log \mathbb E \exp(t L(M(x) || M(x'))) \le \kappa_M(t), \qquad \forall x, x'\ For example, we can set $\kappa_M(t) = t \rho(t + 1)$. Using the same argument we have the following: -**Claim 21**. +**Claim 21**. If $M$ is $(\lambda, \rho)$-rdp, then -1. If $M$ is $(\lambda, \rho)$-rdp, then it is also +1. it is also $(\epsilon, \exp((\lambda - 1) (\rho - \epsilon)))$-dp for any $\epsilon \ge \rho$. 2. Alternatively, $M$ is $(\epsilon, - \exp(\kappa_M^*(\epsilon)))$-dp -- cgit v1.2.3