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K-Dominance in Multidimensional Data: Theory and Applications

Authors Thomas Schibler, Subhash Suri

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Thomas Schibler
Subhash Suri

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Thomas Schibler and Subhash Suri. K-Dominance in Multidimensional Data: Theory and Applications. In 25th Annual European Symposium on Algorithms (ESA 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 87, pp. 65:1-65:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)
https://doi.org/10.4230/LIPIcs.ESA.2017.65

Abstract

We study the problem of k-dominance in a set of d-dimensional vectors, prove bounds on the number of maxima (skyline vectors), under both worst-case and average-case models, perform experimental evaluation using synthetic and real-world data, and explore an application of k-dominant skyline for extracting a small set of top-ranked vectors in high dimensions where the full skylines can be unmanageably large.
Keywords
  • Dominance
  • skyline
  • database search
  • average case analysis
  • random vectors

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