From 5ffc53e69e956054fdefd1fe193e00eee705dcab Mon Sep 17 00:00:00 2001 From: Douglas Rumbaugh Date: Mon, 12 May 2025 19:59:26 -0400 Subject: Updates --- chapters/sigmod23/conclusion.tex | 33 +++++++++++++++++++-------------- 1 file changed, 19 insertions(+), 14 deletions(-) (limited to 'chapters/sigmod23/conclusion.tex') diff --git a/chapters/sigmod23/conclusion.tex b/chapters/sigmod23/conclusion.tex index de6bffc..f350cfd 100644 --- a/chapters/sigmod23/conclusion.tex +++ b/chapters/sigmod23/conclusion.tex @@ -1,17 +1,22 @@ \section{Conclusion} \label{sec:conclusion} -This chapter discussed the creation of a framework for the dynamic extension of -static indexes designed for various sampling problems. Specifically, extensions -were created for the alias structure (WSS), the in-memory ISAM tree (IRS), and -the alias-augmented B+tree (WIRS). In each case, the SSIs were extended -successfully with support for updates and deletes, without compromising their -sampling performance advantage relative to existing dynamic baselines. This was -accomplished by leveraging ideas borrowed from the Bentley-Saxe method and the -design space of the LSM tree to divide the static index into multiple shards, -which could be individually reconstructed in a systematic fashion to -accommodate new data. This framework provides a large design space for trading -between update performance, sampling performance, and memory usage, which was -explored experimentally. The resulting extended indexes were shown to approach -or match the insertion performance of the B+tree, while simultaneously -performing significantly faster in sampling operations under most situations. +In this chapter, we discussed the creation of a dynamization system +based upon the Bentley-Saxe method that can be used to create dynamized +sampling data structures that outperform dynamic baselines and feature a +configurable design space. Specifically, we discussed dynamized versions +of the alias structure for weighted set sampling, the alias-augmented +B+tree for weighted independent range sampling, and the ISAM tree for +independent range sampling. In each case, the static structures were +dynamized with support for inserts and deletes without compromising +their query performance advantage over dynamic baselines, and while +matching or exceeding the dynamic structures' insertion performance. + +The techniques proposed in chapter, however, are limited to a very +specific class of data structures for addressing a very specific type +of search problem. While these results are promising, they fall short +of a general solution to data structure dynamization that addresses +the limitations of classical dynamization techniques discussed in +Chapter~\ref{chap:background}. In the next chapter, we will take several +of the results of this chapter, generalize them, and apply them to a much +wider range of data structures. -- cgit v1.2.3