skip to main content
10.1145/1341012.1341089acmotherconferencesArticle/Chapter ViewAbstractPublication PagesgisConference Proceedingsconference-collections
poster

On supervised density estimation techniques and their application to spatial data mining

Published:07 November 2007Publication History

ABSTRACT

The basic idea of traditional density estimation is to model the overall point density analytically as the sum of influence functions of data points. However, traditional density estimation techniques only consider the location of a point. Supervised density estimation techniques, on the other hand, additionally consider a variable of interest that is associated with a point. Density in supervised density estimation is measured as the product of an influence function with the variable of interest. Based on this novel idea, a supervised density-based clustering named SCDE is introduced and discussed in detail. The SCDE algorithm forms clusters by associating data points with supervised density attractors which represent maxima and minima of a supervised density function.

References

  1. Clifford, S. 1993. A model for the hydrological and climatic behavior of water on mars. Journal of Geophysical Research, Vol. 98, No. E6, 1993, 10973--11016.Google ScholarGoogle ScholarCross RefCross Ref
  2. Eick C., Vaezian B., Jiang, D. and Wang, J. 2006. Discovery of Interesting Regions in Spatial Datasets Using Supervised Clustering. In Proceedings of the 10th European Conference on Principles and Practice of Knowledge Discovery in Databases, (Berlin, Germany, September 2006).Google ScholarGoogle Scholar
  3. Ester, M., Kriegel, H., Sander, J., and Xu, X. 1996. A Density-Based Algorithm for Discovering Clusters in Large Spatial Databases with Noise. In Proceedings of 2nd International Conference on Knowledge Discovery and Data Mining (Portland, Oregon, August 1996). 226--231.Google ScholarGoogle Scholar
  4. Hinneburg, A. and Keim, D. A. 1998. An Efficient Approach to Clustering in Large Multimedia Databases with Noise. In Proceedings of the 4th International Conference on Knowledge Discovery and Data Mining, (New York City, August 1998). 58--65.Google ScholarGoogle Scholar
  5. Hinneburg, A. and Gabriel, H., 2007. Denclue 2.0: Fast Clustering based on Kernel Density Estimation. In Proceedings of the 7th International Symposium on Intelligent Data Analysis (Ljubljana, Slovenoja, September 2007). Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Kaufman, L. and Rousseeuw, P. J. 2000. Finding groups in data: An introduction to cluster analysis, John Wiley and Sons, New Jersey, USA, 2000.Google ScholarGoogle Scholar
  7. Kulldorff, M. 1997. A spatial scan statistic, Communications in Statistics: Theory and Methods, Vol. 26, No.6, 1997, 1481--1496.Google ScholarGoogle ScholarCross RefCross Ref
  8. Levine, N. 2007. CrimeStat III: A Spatial Statistics Program for the Analysis of Crime Incident Locations (v 3.1), Ned Levine & Associates, Houston, TX, and the National Institute of Justice, Washington, DC., March 2007.Google ScholarGoogle Scholar
  9. Murray, A. T. and Estivill-Castro, V. 1998. Cluster discovery techniques for exploratory spatial data analysis, International Journal of Geographical Information Science, Vol. 12, No. 5, 1998, 431--443.Google ScholarGoogle ScholarCross RefCross Ref
  10. Sander, J., Ester, M., Kriegel, H. P., and Xu, X., 1998. Density-Based Clustering in Spatial Databases: The Algorithm GDBSCAN and its Applications. Data Mining and Knowledge Discovery, Kluwer Academic Publishers, Vol. 2, No. 2, 1998, 169--194. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. Silverman, B. 1986. Density Estimation for Statistics and Data Analysis. Chapman & Hall, London, UK, 1986.Google ScholarGoogle ScholarCross RefCross Ref
  12. Tay, S. C., Hsu, W., and Lim, K. H. 2003. Spatial data mining: Clustering of hot spots and pattern recognition. In International Geoscience & Remote Sensing Symposium, (Toulouse France, July 2003).Google ScholarGoogle Scholar
  13. Williams, G. J. 1999. Evolutionary hot spots data mining -- an architecture for exploring for interesting discoveries. In Proceedings of the 3rd Pacific-Asia Conference on Methodologies for Knowledge Discovery and Data Mining, (London, UK, 1999). 184--193. Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. On supervised density estimation techniques and their application to spatial data mining

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in
    • Published in

      cover image ACM Other conferences
      GIS '07: Proceedings of the 15th annual ACM international symposium on Advances in geographic information systems
      November 2007
      439 pages
      ISBN:9781595939142
      DOI:10.1145/1341012

      Copyright © 2007 ACM

      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 7 November 2007

      Permissions

      Request permissions about this article.

      Request Permissions

      Check for updates

      Qualifiers

      • poster

      Acceptance Rates

      Overall Acceptance Rate220of1,116submissions,20%

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader