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authorYuchen Pei <me@ypei.me>2019-03-14 11:54:34 +0100
committerYuchen Pei <me@ypei.me>2019-03-14 11:54:34 +0100
commit8aa39aca94320b2e192e0a46099bc339d4a55eb8 (patch)
tree7881ad023c7a5a7be6f7187a0d44f331e73d4d2b
parent4045d1b54eeb132282caa78e5857945a54634cf3 (diff)
minor
-rw-r--r--posts/2019-03-14-great-but-manageable-expectations.md4
1 files changed, 2 insertions, 2 deletions
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