Hyperbolic Quotient Feature Map for Competitive Learning Neural Networks

  • Jinwuk Seok
  • Seongwon Cho
  • Jaemin Kim
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3971)


In this paper, we present a new learning method called hyperbolic quotient feature map for competitive learning neural networks. The previous neural network learning algorithms didn’t consider their topological properties, and thus their dynamics were not clearly defined. We show that the weight vectors obtained by competitive learning decompose the input vector space and map it to the quotient space X/R. In addition, we define a quotient function which maps [1, ∞) ⊂ R n to [0,1) and induce the proposed algorithm from the performance measure with the quotient function. Experimental results for pattern recognition of remote sensing data indicate the superiority of the proposed algorithm in comparison to the conventional competitive learning methods.


Weight Vector Input Vector Canonical Function Quotient Function Topological Information 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Jinwuk Seok
    • 1
  • Seongwon Cho
    • 2
  • Jaemin Kim
    • 2
  1. 1.Embedded S/W Research DivisionETRIDaejunKorea
  2. 2.School of Electronic and Electrical EngineeringHongik UniversitySeoulKorea

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