• DocumentCode
    1139337
  • Title

    A Fast-Converging Algorithm for Nonlinear Mapping of High-Dimensional Data to a Plane

  • Author

    Niemann, Heinrich ; Weiss, Jürgen

  • Author_Institution
    Friedrich-Alexander-Universitat, Institut fur Mathematische Maschinen und Datenverarbeitung
  • Issue
    2
  • fYear
    1979
  • Firstpage
    142
  • Lastpage
    147
  • Abstract
    An iterative algorithm for nonlinear mapping of high-dimensional data is developed. The step size of the descent algorithm is chosen to assure convergence. Steepest descent and Coordinate descent are treated. The algorithm is applied to artificial and real data to demonstrate its excellent convergence properties.
  • Keywords
    Cluster analysis; coordinate descent; dimensionality reduction; iterative algorithm; nonlinear mapping; steepest descent; unsupervised learning; Algorithm design and analysis; Convergence; Iterative algorithms; Iterative methods; Nonlinear distortion; Pattern analysis; Unsupervised learning; Cluster analysis; coordinate descent; dimensionality reduction; iterative algorithm; nonlinear mapping; steepest descent; unsupervised learning;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1979.1675303
  • Filename
    1675303