Conformality in the self-organization network☆

https://doi.org/10.1016/S0004-3702(99)00093-4Get rights and content
Under an Elsevier user license
open archive

Abstract

The conformality of the self-organizing network is studied in this work. We use multi-dimensional deformation analyses to interpret the self-organizing mapping. It can be shown that this mapping is quasi-conformal with a convergent deformation bound. Based on analyses, a deformation measure and a non-conformality measure are derived to indicate the evolution status of the network. These measures can serve as new criteria to evolve the network. We test these measures with simulations on surface mapping problems.

Keywords

Conformality
Self-organization network
Natural coordinate
Data manifold
Deformation measure
Simplices
Learning algorithm
Pattern recognition

Cited by (0)

☆

This work has been supported by National Science Council under contract number NSC-82-0408-E-002-255 and NSC-84-2213-E-002-012.

Copyright © 2000 Elsevier Science B.V. All rights reserved.