Self-organization on a sphere with application to topological ordering of Chinese characters

Andrew P. Paplinski

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    We consider a case of self-organization in which a relatively small number N of data points is mapped on a larger number M of nodes. This is a reverse situation to a typical clustering problem when a node represents a center of the cluster of data points. In our case the objective is to have a Gaussian-like distribution of weights over nodes in the neighbourhood of the winner for a given stimulus. The fact that M > N creates some problem with using learning schemes related to Gaussian MixtureModels.We also show how the objects, Chinese characters in our case, can be topologically ordered on a surface of a 3D sphere. A Chinese character is represented by an angular integral of the Radon Transform (aniRT) which is an RTS-invariant 1-D signature function of an image.

    Original languageEnglish
    Title of host publicationNeural Information Processing
    Subtitle of host publication23rd International Conference, ICONIP 2016, Kyoto, Japan, October 16-21, 2016, Proceedings, Part IV
    EditorsAkira Hirose, Seiichi Ozawa, Kenji Doya, Kazushi Ikeda, Minho Lee, Derong Liu
    Number of pages8
    ISBN (Electronic)9783319466811
    ISBN (Print)9783319466804
    Publication statusPublished - 2016
    EventInternational Conference on Neural Information Processing 2016 - Kyoto, Japan
    Duration: 16 Oct 201621 Oct 2016
    Conference number: 23rd (Proceedings)

    Publication series

    NameLecture Notes in Computer Science
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349


    ConferenceInternational Conference on Neural Information Processing 2016
    Abbreviated titleICONIP 2016
    Internet address


    • Angular integral of the radon transform
    • Gaussian mixture models
    • Probabilistic self-organizing maps
    • Self-organization on a sphere

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