Local to Global Normalization Dynamic by Nonlinear Local Interactions
| dc.creator | Keil, Matthias S. | |
| dc.date | 2005-06-22 | |
| dc.date | 2007-09-19 | |
| dc.date.accessioned | 2026-07-07T08:30:39Z | |
| dc.date.available | 2026-07-07T08:30:39Z | |
| dc.description | 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. | |
| dc.description | This is an extended version of one which is submitted to Physics D. The first version underwent some improvement (organization, new results) | |
| dc.identifier | https://arxiv.org/abs/nlin/0506048 | |
| dc.identifier | http://arxiv.org/abs/nlin/0506048 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138293 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.title | Local to Global Normalization Dynamic by Nonlinear Local Interactions | |
| dc.type | text |