Magnification Control in Self-Organizing Maps and Neural Gas

DOI10.1162/089976606775093918zbMath1110.68134DBLPjournals/neco/VillmannC06arXivcond-mat/0609517OpenAlexW3123606858WikidataQ51957395 ScholiaQ51957395MaRDI QIDQ5473193

Thomas Villmann, Jens Christian Claussen

Publication date: 19 June 2006

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0609517

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05)

Related Items (6)

Similarity interaction in information-theoretic self-organizing maps ⋮ Cooperation in self-organizing map networks enhances information transmission in the presence of input background activity ⋮ Intrinsic dimension estimation: advances and open problems ⋮ Self-Organizing Maps with Asymmetric Neighborhood Function ⋮ Fuzzy classification by fuzzy labeled neural gas ⋮ Similarities, Dissimilarities and Types of Inner Products for Data Analysis in the Context of Machine Learning

Cites Work

• On the stationary state of Kohonen's self-organizing sensory mapping
• Measuring the strangeness of strange attractors
• Topographic organization of nerve fields
• Self-organizing maps: Ordering, convergence properties and energy functions
• Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems
• Theoretical aspects of the SOM algorithm
• Neural maps for faithful data modelling in medicine -- state-of-the-art and exemplary applications
• Asymptotic quantization error of continuous signals and the quantization dimension
• Winner-Relaxing Self-Organizing Maps
• Intrinsic dimension estimation of data: An approach based on Grassberger-Procaccia's algorithm

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