Analysis of large-scale digital optical neural networks by Feynman diagrams

Jose Antonio Martin-Pereda; Ana P. Gonzalez-Marcos

doi:10.1117/12.367692

1 November 1999 Analysis of large-scale digital optical neural networks by Feynman diagrams

Jose Antonio Martin-Pereda, Ana P. Gonzalez-Marcos

Proceedings Volume 3812, Applications and Science of Neural Networks, Fuzzy Systems, and Evolutionary Computation II; (1999) https://doi.org/10.1117/12.367692
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

A new method to study large scale neural networks is presented in this paper. The basis is the use of Feynman- like diagrams. These diagrams allow the analysis of collective and cooperative phenomena with a similar methodology to the employed in the Many Body Problem. The proposed method is applied to a very simple structure composed by an string of neurons with interaction among them. It is shown that a new behavior appears at the end of the row. This behavior is different to the initial dynamics of a single cell. When a feedback is present, as in the case of the hippocampus, this situation becomes more complex with a whole set of new frequencies, different from the proper frequencies of the individual neurons. Application to an optical neural network is reported.

Citation Download Citation

Jose Antonio Martin-Pereda and Ana P. Gonzalez-Marcos "Analysis of large-scale digital optical neural networks by Feynman diagrams", Proc. SPIE 3812, Applications and Science of Neural Networks, Fuzzy Systems, and Evolutionary Computation II, (1 November 1999); https://doi.org/10.1117/12.367692

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