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Spatial Indexing for Scalability in FCA

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Formal Concept Analysis

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3874))

Abstract

The paper provides evidence that spatial indexing structures offer faster resolution of Formal Concept Analysis queries than B-Tree/Hash methods. We show that many Formal Concept Analysis operations, computing the contingent and extent sizes as well as listing the matching objects, enjoy improved performance with the use of spatial indexing structures such as the RD-Tree. Speed improvements can vary up to eighty times faster depending on the data and query. The motivation for our study is the application of Formal Concept Analysis to Semantic File Systems. In such applications millions of formal objects must be dealt with. It has been found that spatial indexing also provides an effective indexing technique for more general purpose applications requiring scalability in Formal Concept Analysis systems. The coverage and benchmarking are presented with general applications in mind.

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Author information

Authors and Affiliations

  1. Information Technology and Electrical Engineering, The University of Queensland, St. Lucia, QLD 4072, Australia

    Ben Martin

  2. School of Economics and Information Systems, The University of Wollongong, Northfields Avenue, Wollongong, NSW 2522, Australia

    Peter Eklund

Authors
  1. Ben Martin
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  2. Peter Eklund
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Editor information

Editors and Affiliations

  1. Département d’informatique et d’ingénierie, Université du Québec en Outaouais, succursale B, C.P. 1250, J8X 3X7, Gatineau, Québec, Canada

    Rokia Missaoui

  2. Mathematisches Institut, Universität Bern, Sidlerstr. 5, 3012, Bern, Switzerland

    Jürg Schmidt

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© 2006 Springer-Verlag Berlin Heidelberg

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Martin, B., Eklund, P. (2006). Spatial Indexing for Scalability in FCA. In: Missaoui, R., Schmidt, J. (eds) Formal Concept Analysis. Lecture Notes in Computer Science(), vol 3874. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11671404_14

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  • DOI: https://doi.org/10.1007/11671404_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-32203-0

  • Online ISBN: 978-3-540-32204-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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