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Discrete Network Implementation of KII and KIII Freeman's Model

By Vitor Grade Tavares, Msc Jose Principe and Ph. D


This paper presents results concerning a full digital implementation of the KII and KIII model proposed by Freeman to explain and model the chaotic behavior of the mammalian's Olfactory Cortex [1]. The environment used for the task is a commercial neural network package. The immediate goal is to offer a computational efficient alternative to Runge-Kutta methods of solving the system's differential equations. To accomplish the goal the differential equations impulse response were sampled and decomposed over the gamma basis [2] Both models, KII and KIII, are presently working as associative memories, where stored patterns can be recalled from an input pattern [3][4]. 1. Introduction The systems described in this paper are known as the KII and the KIII models [4]. We will be emphasizing here the dynamic behavior of these models for information processing. Both models are based on the same single element, a second order dynamic equation with forcing inputs. These inputs (static or time v..

Year: 2007
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