Title

An application of neurohydrodynamics to a Hopfield neural network.

SelectedWorks Author Profiles:

Leon Hardy

Document Type

Presentation

Publication Date

2015

Date Issued

January 2015

Date Available

August 2016

ISSN

2161-4393

Abstract

In this paper, we apply our approach of Neurohydrodynamics (NHD) to a Hopfield neural network by introducing a one-dimensional spacial diffusion term. This reaction-diffusion equation includes an auxiliary equation that “guides” the weights of the network using the divergence of neuron's activation amplitude, which we call the neuropotential. This guiding principle is similar to de Broglie's “pilot wave” interpretation for Quantum Mechanics or Turing's oracle for “human intuition” of a Turing machine. Finally, using a numerical derivation of the dynamical equations of one-dimensional Hopfield neural network, we include a simulation of the network so that we can discuss its behavior and future directions of NHD.

Comments

Abstract only. Full-text article is available through licensed access provided by the publisher. Published in 2015 International Joint Conference on Neural Networks (IJCNN). Doi: 10.1109/IJCNN.2015.7280359. Members of the USF System may access the full-text of the article through the authenticated link provided.

Language

en_US

Publisher

IEEE

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.