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minimizer-review: Add reference to 1.8 density factor
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RagnarGrootKoerkamp committed Oct 30, 2024
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Expand Up @@ -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.
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