Analytic Solutions to the Formation of Feature-Analysing Cells of a Three-Layer Feedforward Visual Information Processing Neural Net

Abstract

Analytic solutions to the information-theoretic evolution equa(cid:173) tion of the connection strength of a three-layer feedforward neural net for visual information processing are presented. The results are (1) the receptive fields of the feature-analysing cells corre(cid:173) spond to the eigenvector of the maximum eigenvalue of the Fred(cid:173) holm integral equation of the first kind derived from the evolution equation of the connection strength; (2) a symmetry-breaking mechanism (parity-violation) has been identified to be respon(cid:173) sible for the changes of the morphology of the receptive field; (3) the conditions for the formation of different morphologies are explicitly identified.

Cite

Text

Tang. "Analytic Solutions to the Formation of Feature-Analysing Cells of a Three-Layer Feedforward Visual Information Processing Neural Net." Neural Information Processing Systems, 1989.

Markdown

[Tang. "Analytic Solutions to the Formation of Feature-Analysing Cells of a Three-Layer Feedforward Visual Information Processing Neural Net." Neural Information Processing Systems, 1989.](https://mlanthology.org/neurips/1989/tang1989neurips-analytic/)

BibTeX

@inproceedings{tang1989neurips-analytic,
  title     = {{Analytic Solutions to the Formation of Feature-Analysing Cells of a Three-Layer Feedforward Visual Information Processing Neural Net}},
  author    = {Tang, Dun-Sung},
  booktitle = {Neural Information Processing Systems},
  year      = {1989},
  pages     = {160-165},
  url       = {https://mlanthology.org/neurips/1989/tang1989neurips-analytic/}
}