The role of hubness in clustering high-dimensional data

  • Authors:
  • Nenad Tomašev;Miloš Radovanovič;Dunja Mladenič;Mirjana Ivanovič

  • Affiliations:
  • Institute Jozef Stefan, Artificial Intelligence Laboratory, Ljubljana, Slovenia;University of Novi Sad, Department of Mathematics and Informatics, Novi Sad, Serbia;Inst itute Jozef Stefan, Artificial Intelligence Laboratory, Ljubljana, Slovenia;University of Novi Sad, Department of Mathematics and Informatics, Novi Sad, Serbia

  • Venue:
  • PAKDD'11 Proceedings of the 15th Pacific-Asia conference on Advances in knowledge discovery and data mining - Volume Part I
  • Year:
  • 2011

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Abstract

High-dimensional data arise naturally in many domains, and have regularly presented a great challenge for traditional data-mining techniques, both in terms of effectiveness and efficiency. Clustering becomes difficult due to the increasing sparsity of such data, as well as the increasing difficulty in distinguishing distances between data points. In this paper we take a novel perspective on the problem of clustering high-dimensional data. Instead of attempting to avoid the curse of dimensionality by observing a lower-dimensional feature subspace, we embrace dimensionality by taking advantage of some inherently high-dimensional phenomena. More specifically, we show that hubness, i.e., the tendency of high-dimensional data to contain points (hubs) that frequently occur in k-nearest neighbor lists of other points, can be successfully exploited in clustering. We validate our hypothesis by proposing several hubness-based clustering algorithms and testing them on high-dimensional data. Experimental results demonstrate good performance of our algorithms in multiple settings, particularly in the presence of large quantities of noise.