De Wilde, Philippe (1993) Class of Hamiltonian neural networks. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 47 (2). pp. 1392-1396. ISSN 1063-651X. (doi:10.1103/PhysRevE.47.1392) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:93397)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: https://doi.org/10.1103/PhysRevE.47.1392 |
Abstract
We investigate analog neural networks. They have continuous state variables that depend continuously on time. Although they all have an energy function, not all can have their dynamics derived from a Hamiltonian. Some necessary conditions are given for the network to have Hamiltonian dynamics. We give an example and, using symplectic transformations, describe a whole class of neural networks with Hamiltonian dynamics.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1103/PhysRevE.47.1392 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming, |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing |
| Depositing User: | Philippe De Wilde |
| Date Deposited: | 20 Dec 2022 09:37 UTC |
| Last Modified: | 05 Nov 2024 12:58 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/93397 (The current URI for this page, for reference purposes) |
University of Kent Author Information
De Wilde, Philippe.
| Creator's ORCID: |
 https://orcid.org/0000-0002-4332-1715
|
|---|---|
| CReDIT Contributor Roles: |
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):
Altmetric
Altmetric
