Efficient Quantile Retrieval on Multi-dimensional Data

  • Man Lung Yiu
  • Nikos Mamoulis
  • Yufei Tao
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3896)


Given a set of N multi-dimensional points, we study the computation of φ-quantiles according to a ranking function F, which is provided by the user at runtime. Specifically, F computes a score based on the coordinates of each point; our objective is to report the object whose score is the φN-th smallest in the dataset. φ-quantiles provide a succinct summary about the F-distribution of the underlying data, which is useful for online decision support, data mining, selectivity estimation, query optimization, etc. Assuming that the dataset is indexed by a spatial access method, we propose several algorithms for retrieving a quantile efficiently. Analytical and experimental results demonstrate that a branch-and-bound method is highly effective in practice, outperforming alternative approaches by a significant factor.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Man Lung Yiu
    • 1
  • Nikos Mamoulis
    • 1
  • Yufei Tao
    • 2
  1. 1.Department of Computer ScienceUniversity of Hong KongHong Kong
  2. 2.Department of Computer ScienceCity University of Hong KongKowloon, Hong Kong

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