From 83b0953fa85b4c7a11edc4bc75b205f38e434a75 Mon Sep 17 00:00:00 2001 From: Yuchen Pei Date: Thu, 14 Mar 2019 11:19:59 +0100 Subject: minor changes --- posts/2019-03-13-a-tail-of-two-densities.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) (limited to 'posts/2019-03-13-a-tail-of-two-densities.md') diff --git a/posts/2019-03-13-a-tail-of-two-densities.md b/posts/2019-03-13-a-tail-of-two-densities.md index dda906b..4897874 100644 --- a/posts/2019-03-13-a-tail-of-two-densities.md +++ b/posts/2019-03-13-a-tail-of-two-densities.md @@ -25,7 +25,7 @@ on privacy by stating and proving the composition theorems for differential priv as well as the effect of mixing mechanisms, by presenting the subsampling theorem (a.k.a. amplification theorem). -In Part 2, I discuss the Rényi differential privacy, corresponding to +In [Part 2](/posts/2019-03-14-great-but-manageable-expectations.html), I discuss the Rényi differential privacy, corresponding to the Rényi divergence, a study of the moment generating functions the divergence between probability measures to derive the tail bounds. @@ -923,7 +923,7 @@ compared to the Basic Composition Theorem (Claim 10). **Remark**. In practice one can try different choices of $\beta$ and settle with the one that gives the best privacy guarantee. -See the discussions at the end of Part 2 of this post. +See the discussions at the end of [Part 2 of this post](/posts/2019-03-14-great-but-manageable-expectations.html). **Proof**. Let $p_i$, $q_i$, $p$ and $q$ be the laws of $M_i(x)$, $M_i(x')$, $M(x)$ and $M(x')$ respectively. @@ -1215,7 +1215,7 @@ have sensitivity $C$. It makes the difference between the query results of two *arbitrary* inputs bounded by $C$, rather than *neighbouring* inputs. -In Part 2 we will use the tools developed above to discuss the privacy +In [Part 2 of this post](/posts/2019-03-14-great-but-manageable-expectations.html) we will use the tools developed above to discuss the privacy guarantee for DP-SGD, among other things. References -- cgit v1.2.3