A Unifying Objective Function for Topographic Mappings

Abstract

Many different algorithms and objective functions for topographic mappings have been proposed. We show that several of these approaches can be seen as particular cases of a more general objective function. Consideration of a very simple mapping problem reveals large differences in the form of the map that each particular case favors. These differences have important consequences for the practical application of topographic mapping methods.

Cite

Text

Goodhill and Sejnowski. "A Unifying Objective Function for Topographic Mappings." Neural Computation, 1997. doi:10.1162/NECO.1997.9.6.1291

Markdown

[Goodhill and Sejnowski. "A Unifying Objective Function for Topographic Mappings." Neural Computation, 1997.](https://mlanthology.org/neco/1997/goodhill1997neco-unifying/) doi:10.1162/NECO.1997.9.6.1291

BibTeX

@article{goodhill1997neco-unifying,
  title     = {{A Unifying Objective Function for Topographic Mappings}},
  author    = {Goodhill, Geoffrey J. and Sejnowski, Terrence J.},
  journal   = {Neural Computation},
  year      = {1997},
  pages     = {1291-1303},
  doi       = {10.1162/NECO.1997.9.6.1291},
  volume    = {9},
  url       = {https://mlanthology.org/neco/1997/goodhill1997neco-unifying/}
}