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Rotor Neurons: Basic Formalism and Dynamics

Gislén, Lars LU ; Peterson, Carsten LU and Söderberg, Bo LU (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.
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author
; and
organization
publishing date
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}},
}