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lars gislen

Lars Gislén

Retired, affiliated researcher

lars gislen

Rotor Neurons: Basic Formalism and Dynamics

Author

  • Lars Gislén
  • Carsten Peterson
  • Bo Söderberg

Summary, in English

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.

Department/s

  • Theoretical Particle Physics - Has been reorganised

Publishing year

1992

Language

English

Pages

737-745

Publication/Series

Neural Computation

Volume

4

Issue

5

Document type

Journal article

Publisher

MIT Press

Topic

  • Computational Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1530-888X