From d8eb5a4c442e95fa5662f2807d730dba20e204f0 Mon Sep 17 00:00:00 2001 From: Ragnar Groot Koerkamp Date: Wed, 30 Oct 2024 17:55:56 +0100 Subject: [PATCH] minimizer-review: Add reference to 1.8 density factor --- posts/minimizer-review-comments.org | 2 ++ 1 file changed, 2 insertions(+) diff --git a/posts/minimizer-review-comments.org b/posts/minimizer-review-comments.org index e47d0fa..750c2ef 100644 --- a/posts/minimizer-review-comments.org +++ b/posts/minimizer-review-comments.org @@ -30,6 +30,8 @@ Recent investigations indicate that ordering algorithms can achieve a density va $1.8/(w + 1)$ [cite:@docks-wabi], well below the originally proposed lower bound of $2/(w + 1)$ [cite:@sketching-and-sublinear-datastructures;@minimizers]. #+end_quote - I cannot find the $1.8/(w+1)$ in either [cite/t:@docks-wabi] or [cite/t:@docks]. + - It turns out the followup paper [cite/t:@improved-minimizers] states that + DOCKS has density factor $1.737$ for $k=w=10$. - For which $k$? For $k=1$, this is impossible. For $k>w$, miniception [cite:@miniception] is better at $1.67/w$, and in fact, mod-minimizer [cite:@modmini] is even better and asymptotically reaches density $1/w$, so this $1.8/(w+1)$ is quite meaningless anyway.