License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICDT.2021.15
URN: urn:nbn:de:0030-drops-137230
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/13723/
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Livshits, Ester ; Kimelfeld, Benny

The Shapley Value of Inconsistency Measures for Functional Dependencies

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Abstract

Quantifying the inconsistency of a database is motivated by various goals including reliability estimation for new datasets and progress indication in data cleaning. Another goal is to attribute to individual tuples a level of responsibility to the overall inconsistency, and thereby prioritize tuples in the explanation or inspection of dirt. Therefore, inconsistency quantification and attribution have been a subject of much research in Knowledge Representation and, more recently, in Databases. As in many other fields, a conventional responsibility sharing mechanism is the Shapley value from cooperative game theory. In this paper, we carry out a systematic investigation of the complexity of the Shapley value in common inconsistency measures for functional-dependency (FD) violations. For several measures we establish a full classification of the FD sets into tractable and intractable classes with respect to Shapley-value computation. We also study the complexity of approximation in intractable cases.

BibTeX - Entry

@InProceedings{livshits_et_al:LIPIcs.ICDT.2021.15,
  author =	{Livshits, Ester and Kimelfeld, Benny},
  title =	{{The Shapley Value of Inconsistency Measures for Functional Dependencies}},
  booktitle =	{24th International Conference on Database Theory (ICDT 2021)},
  pages =	{15:1--15:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-179-5},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{186},
  editor =	{Yi, Ke and Wei, Zhewei},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/13723},
  URN =		{urn:nbn:de:0030-drops-137230},
  doi =		{10.4230/LIPIcs.ICDT.2021.15},
  annote =	{Keywords: Shapley value, inconsistent databases, functional dependencies, database repairs}
}

Keywords: Shapley value, inconsistent databases, functional dependencies, database repairs
Collection: 24th International Conference on Database Theory (ICDT 2021)
Issue Date: 2021
Date of publication: 11.03.2021

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