Rotor Neurons: Basic Formalism and Dynamics
(1992) In Neural Computation 4(5). p.737-745- Abstract
- Rotor neurons are introduced to encode states living on the surface of a sphere in D dimensions. Such rotors can be regarded as continuous generalizations of binary (Ising) neurons. The corresponding mean field equations are derived, and phase transition properties based on linearized dynamics are given. The power of this approach is illustrated with an optimization problem—placing N identical charges on a sphere such that the overall repulsive energy is minimized. The rotor approach appears superior to other methods for this problem both with respect to solution quality and computational effort needed.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/b9d65bb0-c044-475c-8561-081d3a3270ee
- author
- Gislén, Lars LU ; Peterson, Carsten LU and Söderberg, Bo LU
- organization
- publishing date
- 1992
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Neural Computation
- volume
- 4
- issue
- 5
- pages
- 9 pages
- publisher
- MIT Press
- ISSN
- 1530-888X
- DOI
- 10.1162/neco.1992.4.5.737
- language
- English
- LU publication?
- yes
- id
- b9d65bb0-c044-475c-8561-081d3a3270ee
- date added to LUP
- 2019-05-13 19:53:32
- date last changed
- 2021-08-27 10:54:57
@article{b9d65bb0-c044-475c-8561-081d3a3270ee, abstract = {{Rotor neurons are introduced to encode states living on the surface of a sphere in D dimensions. Such rotors can be regarded as continuous generalizations of binary (Ising) neurons. The corresponding mean field equations are derived, and phase transition properties based on linearized dynamics are given. The power of this approach is illustrated with an optimization problem—placing N identical charges on a sphere such that the overall repulsive energy is minimized. The rotor approach appears superior to other methods for this problem both with respect to solution quality and computational effort needed.}}, author = {{Gislén, Lars and Peterson, Carsten and Söderberg, Bo}}, issn = {{1530-888X}}, language = {{eng}}, number = {{5}}, pages = {{737--745}}, publisher = {{MIT Press}}, series = {{Neural Computation}}, title = {{Rotor Neurons: Basic Formalism and Dynamics}}, url = {{http://dx.doi.org/10.1162/neco.1992.4.5.737}}, doi = {{10.1162/neco.1992.4.5.737}}, volume = {{4}}, year = {{1992}}, }