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Asymptotic level density for a class of vector quantization processes

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1 Author(s)
Ritter, H. ; Dept. of Phys., Illinois Univ., Urbana, IL, USA

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)α , where the exponent α depends on the number n of neighbors on each side of a unit and is given by α=2/3-1/(3n 2+3[n+1]2). The asymptotic level density is calculated, and Monte Carlo simulations are presented

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Neural Networks, IEEE Transactions on  (Volume:2 ,  Issue: 1 )