Self-organizing map algorithm and distortion measure

DOI10.1016/j.neunet.2006.05.016zbMath1102.68588arXiv0802.3150OpenAlexW2047037449WikidataQ51939610 ScholiaQ51939610MaRDI QIDQ2506517

Joseph Rynkiewicz

Publication date: 10 October 2006

Published in: Neural Networks (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.3150

zbMATH Keywords

consistencyempirical processesGlivenko-Cantelli classuniform law of large numbersself-organizing mapasymptotic convergencedistortion measuregeneral neighborhood function

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05)

Cites Work

• Strong consistency of k-means clustering
• Self-organizing maps: Ordering, convergence properties and energy functions
• Empirical processes: A survey of results for independent and identically distributed random variables
• Theoretical aspects of the SOM algorithm
• On the a.s. convergence of the Kohonen algorithm with a general neighborhood function
• Consistency of an estimator of the minimum of an extended variance.
• Self-organizing maps
• Unnamed Item

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