Rotor Neurons — Formalism and Dynamics

Research output: Contribution to journalArticle

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.

Details

Authors
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Computational Mathematics
Original languageEnglish
Pages (from-to)737-745
Number of pages9
JournalNeural Computation
Volume4
Issue number5
Publication statusPublished - 1992
Publication categoryResearch
Peer-reviewedYes