From 5ba5085f4b8774eda8fbd7e89894ac7ac37cc582 Mon Sep 17 00:00:00 2001 From: Aaron Huber Date: Tue, 19 Apr 2022 08:18:07 -0400 Subject: [PATCH] Rewrote the 'Concurrent Work' paragraph, including a citation, and other aspects of Grohe's work, comparing/contrasting with ours. --- introduction.tex | 2 +- main.bbl | 15 ++++++++++++++- main.bib | 11 +++++++++++ main.pdf | Bin 1008214 -> 1008668 bytes main.synctex.gz | Bin 806449 -> 807576 bytes 5 files changed, 26 insertions(+), 2 deletions(-) diff --git a/introduction.tex b/introduction.tex index 89e14f4..545635a 100644 --- a/introduction.tex +++ b/introduction.tex @@ -260,7 +260,7 @@ Bags, as we consider, are sufficient for production use, where bag-relational al Our results show that bag-\abbrPDB\xplural can be competitive, laying the groundwork for probabilistic functionality in production database engines. \mypar{Concurrent Work} -In work unpublished and independent of ours, Grohe, et. al. investigate \abbrBPDB\xplural in the context of infinite multiplicities, and show a dichotomy for the query evaluation problem over \abbrBPDB\xplural when computing the probability of an output tuple having at most a multiplicity of $k$. Their work, however, does not take into consideration the fine-grained analysis of computing the expected multiplicity of an output tuple. +In work unpublished and independent of ours, Grohe, et. al.~\cite{https://doi.org/10.48550/arxiv.2201.11524} investigate \abbrBPDB\xplural showing a dichotomy for the query evaluation problem over \abbrBPDB\xplural when computing the probability of an output tuple having at most a multiplicity of $k$. This work allows for unbounded multiplicities and therefore addresses the concern of a succinct representation of the distribution over infinitely many multiplicities. Our work in contrast assumes a finite bound on the multiplicities where we simply list the finitely many probability values. The work also observes that computing the expected value of an output tuple multiplicity is in polynomial time, but does not, as this work does, further look into the fine-grained analysis of computing this value. diff --git a/main.bbl b/main.bbl index 2b7c211..7e79cea 100644 --- a/main.bbl +++ b/main.bbl @@ -2,7 +2,7 @@ %%% Do NOT edit. File created by BibTeX with style %%% ACM-Reference-Format-Journals [18-Jan-2012]. -\begin{thebibliography}{49} +\begin{thebibliography}{50} %%% ==================================================================== %%% NOTE TO THE USER: you can override these defaults by providing @@ -335,6 +335,19 @@ \newblock +\bibitem[Grohe et~al\mbox{.}(2022)]% + {https://doi.org/10.48550/arxiv.2201.11524} +\bibfield{author}{\bibinfo{person}{Martin Grohe}, \bibinfo{person}{Peter + Lindner}, {and} \bibinfo{person}{Christoph Standke}.} + \bibinfo{year}{2022}\natexlab{}. +\newblock \bibinfo{title}{Probabilistic Query Evaluation with Bag Semantics}. +\newblock +\newblock +\urldef\tempurl% +\url{https://doi.org/10.48550/ARXIV.2201.11524} +\showDOI{\tempurl} + + \bibitem[Imielinski and Lipski(1989)]% {Imielinski1989IncompleteII} \bibfield{author}{\bibinfo{person}{T. Imielinski} {and} \bibinfo{person}{W. diff --git a/main.bib b/main.bib index c577856..4c42b01 100644 --- a/main.bib +++ b/main.bib @@ -1,3 +1,14 @@ +@misc{https://doi.org/10.48550/arxiv.2201.11524, + doi = {10.48550/ARXIV.2201.11524}, + url = {https://arxiv.org/abs/2201.11524}, + author = {Grohe, Martin and Lindner, Peter and Standke, Christoph}, + keywords = {Databases (cs.DB), FOS: Computer and information sciences, FOS: Computer and information sciences}, + title = {Probabilistic Query Evaluation with Bag Semantics}, + publisher = {arXiv}, + year = {2022}, + copyright = {arXiv.org perpetual, non-exclusive license} +} + @INPROCEEDINGS{4497507, author={Antova, Lyublena and Jansen, Thomas and Koch, Christoph and Olteanu, Dan}, booktitle={2008 IEEE 24th International Conference on Data Engineering}, diff --git a/main.pdf b/main.pdf index 0b15fbd4d571845cf3746bdcb8b419f8ec866bc5..eefec9d4f60658daae562312cccc02d1eb7dcf7b 100644 GIT binary patch delta 168755 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