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Recurrent Bayesian Reasoning in Probabilistic Neural Networks

Jiří Grim1 and Jan Hora2

(1)  Institute of Information Theory and Automation, of the Czech Academy of Sciences, P.O. Box 18, 18208 Prague 8, Czech Republic
(2)  Faculty of Nuclear Science and Physical Engineering, Czech Technical University, Trojanova 13, CZ-120 00 Prague 2, Czech Republic
Abstract
Considering the probabilistic approach to neural networks in the framework of statistical pattern recognition we assume approximation of class-conditional probability distributions by finite mixtures of product components. The mixture components can be interpreted as probabilistic neurons in neurophysiological terms and, in this respect, the fixed probabilistic description becomes conflicting with the well known short-term dynamic properties of biological neurons. We show that some parameters of PNN can be “released” for the sake of dynamic processes without destroying the statistically correct decision making. In particular, we can iteratively adapt the mixture component weights or modify the input pattern in order to facilitate the correct recognition.

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