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Classifying Human Activities with Temporal Extension of Random Forest Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Self-organization on a Sphere with Application to Topological Ordering of Chinese Characters

Author : Andrew P. Papliński

Published in: Neural Information Processing

Publisher: Springer International Publishing

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Abstract

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 Mixture Models. 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.

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Footnotes
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Metadata
Title
Self-organization on a Sphere with Application to Topological Ordering of Chinese Characters
Author
Andrew P. Papliński
Copyright Year
2016
Book
Neural Information Processing

Print ISBN: 978-3-319-46680-4

Electronic ISBN: 978-3-319-46681-1

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-46681-1_54

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