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Kohonen Learning with a Mechanism, the Law of the Jungle, Capable of Dealing with Nonstationary Probability Distribution Functions
Taira NAKAJIMA Hiroyuki TAKIZAWA Hiroaki KOBAYASHI Tadao NAKAMURA
Publication
IEICE TRANSACTIONS on Information and Systems
Vol.E81D
No.6
pp.584591 Publication Date: 1998/06/25
Online ISSN:
DOI:
Print ISSN: 09168532 Type of Manuscript: PAPER Category: BioCybernetics and Neurocomputing Keyword: adaptive vector quantization, equiprobable principle, conscience mechanism, Kohonen learning, LOJ mechanism, neural networks, nonstationary probability distribution,
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Summary:
We present a mechanism, named the law of the jungle (LOJ), to improve the Kohonen learning. The LOJ is used to be an adaptive vector quantizer for approximating nonstationary probability distribution functions. In the LOJ mechanism, the probability that each node wins in a competition is dynamically estimated during the learning. By using the estimated win probability, "strong" nodes are increased through creating new nodes near the nodes, and "weak" nodes are decreased through deleting themselves. A pair of creation and deletion is treated as an atomic operation. Therefore, the nodes which cannot win the competition are transferred directly from the region where inputs almost never occur to the region where inputs often occur. This direct "jump" of weak nodes provides rapid convergence. Moreover, the LOJ requires neither timedecaying parameters nor a special periodic adaptation. From the above reasons, the LOJ is suitable for quick approximation of nonstationary probability distribution functions. In comparison with some other Kohonen learning networks through experiments, only the LOJ can follow nonstationary probability distributions except for under highnoise environments.

