Asymptotic level density for a class of vector quantization processes
- 1 January 1991
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Neural Networks
- Vol. 2 (1) , 173-175
- https://doi.org/10.1109/72.80310
Abstract
It is shown that for a class of vector quantization processes, related to neural modeling, that the asymptotic density Q(x ) of the quantization levels in one dimension in terms of the input signal distribution P(x) is a power law Q(x)=C-P(x)(alpha ), where the exponent alpha depends on the number n of neighbors on each side of a unit and is given by alpha=2/3-1/(3n (2)+3[n+1](2)). The asymptotic level density is calculated, and Monte Carlo simulations are presented.Keywords
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