Neural Propagation of Beliefs

Details Neural Propagation of Beliefs Neural Propagation of Beliefs

2001-02-23

arxiv.org/abs/cond-mat/0102426v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

22 pages, 5 figures, submitted to Neural Computation, v2. significant structural changes

Scientific paper

We continue to explore the hypothesis that neuronal populations represent and process analog variables in terms of probability density functions (PDFs). A neural assembly encoding the joint probability density over relevant analog variables can in principle answer any meaningful question about these variables by implementing the Bayesian rules of inference. Aided by an intermediate representation of the probability density based on orthogonal functions spanning an underlying low-dimensional function space, we show how neural circuits may be generated from Bayesian belief networks. The ideas and the formalism of this PDF approach are illustrated and tested with several elementary examples, and in particular through a problem in which model-driven top-down information flow influences the processing of bottom-up sensory input.

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