ML Anthology

On the Ordering Conditions for Self-Organizing Maps

Marco Budinich, John G. Taylor
NeCo 1995 pp. 284-289
doi:10.1162/NECO.1995.7.2.284 /neco/1995/budinich1995neco-ordering/

Abstract

We present a geometric interpretation of ordering in self-organizing feature maps. This view provides simpler proofs of Kohonen ordering theorem and of convergence to an ordered state in the one-dimensional case. At the same time it explains intuitively the origin of the problems in higher dimensional cases. Furthermore it provides a geometric view of the known characteristics of learning in self-organizing nets.

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Cite

Text

Budinich and Taylor. "On the Ordering Conditions for Self-Organizing Maps." Neural Computation, 1995. doi:10.1162/NECO.1995.7.2.284

Markdown

[Budinich and Taylor. "On the Ordering Conditions for Self-Organizing Maps." Neural Computation, 1995.](https://mlanthology.org/neco/1995/budinich1995neco-ordering/) doi:10.1162/NECO.1995.7.2.284

BibTeX

@article{budinich1995neco-ordering,
  title     = {{On the Ordering Conditions for Self-Organizing Maps}},
  author    = {Budinich, Marco and Taylor, John G.},
  journal   = {Neural Computation},
  year      = {1995},
  pages     = {284-289},
  doi       = {10.1162/NECO.1995.7.2.284},
  volume    = {7},
  url       = {https://mlanthology.org/neco/1995/budinich1995neco-ordering/}
}