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Local to Global Normalization Dynamic by Nonlinear Local Interactions

Matthias S. Keil
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Abstract

Here, I present a novel method for normalizing a finite set of numbers, which is studied by the domain of biological vision. Normalizing in this context means searching the maximum and minimum number in a set and then rescaling all numbers such that they fit into a numerical interval. My method computes the minimum and maximum number by two pseudo-diffusion processes in separate diffusion layers. Activity of these layers feed into a third layer for performing the rescaling operation. The dynamic of the network is richer than merely performing a rescaling of its input, and reveals phenomena like contrast detection, contrast enhancement, and a transient compression of the numerical range of the input. Apart from presenting computer simulations, some properties of the diffusion operators and the network are analyzed mathematically. Furthermore, a method is proposed for to freeze the model's state when adaptation is observed.

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Matthias S. Keil. 2007-09-19. Local to Global Normalization Dynamic by Nonlinear Local Interactions. https://arxiv.org/abs/nlin/0506048

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