• DocumentCode
    2940818
  • Title

    A Nearest-Neighbor Approach to Estimating Divergence between Continuous Random Vectors

  • Author

    Wang, Qing ; Kulkarni, Sanjeev R. ; Verdu, Sergio

  • Author_Institution
    Dept. of Electr. Eng., Princeton Univ., NJ
  • fYear
    2006
  • fDate
    9-14 July 2006
  • Firstpage
    242
  • Lastpage
    246
  • Abstract
    A method for divergence estimation between multidimensional distributions based on nearest neighbor distances is proposed. Given i.i.d. samples, both the bias and the variance of this estimator are proven to vanish as sample sizes go to infinity. In experiments on high-dimensional data, the nearest neighbor approach generally exhibits faster convergence compared to previous algorithms based on partitioning
  • Keywords
    statistical distributions; continuous random vectors; divergence estimation; multidimensional distributions; nearest-neighbor distances approach; Convergence; Entropy; Frequency estimation; H infinity control; Multidimensional systems; Nearest neighbor searches; Neural networks; Partitioning algorithms; Probability distribution; Random variables;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2006 IEEE International Symposium on
  • Conference_Location
    Seattle, WA
  • Print_ISBN
    1-4244-0505-X
  • Electronic_ISBN
    1-4244-0504-1
  • Type

    conf

  • DOI
    10.1109/ISIT.2006.261842
  • Filename
    4035959