A self-organizing cluster process

DOI10.1214/aoap/1035463330zbMath0870.60063OpenAlexW1995461583MaRDI QIDQ1354840

William G. Faris, Robert M. jun. Burton

Publication date: 1 September 1997

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1035463330

zbMATH Keywords

clusterpattern recognitionneural networkMarkov chainself-organizationrandom transformationKohonen

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Neural networks for/in biological studies, artificial life and related topics (92B20) Pattern recognition, speech recognition (68T10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Diagnostics, and linear inference and regression (62J20)

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Cites Work

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• Self-organization and a.s. convergence of the one-dimensional Kohonen algorithm with non-uniformly distributed stimuli
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• Étude d'un processus d'auto-organisation. (Study of a self-organization process)
• Self-organizing maps: Ordering, convergence properties and energy functions
• On the topology distortion in self-organizing feature maps
• Convergence in Distribution of the One-Dimensional Kohonen Algorithms when the Stimuli are not Uniform
• Convergence of stochastic processes

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