Document Detail


Neural representation of probabilistic information.
MedLine Citation:
PMID:  14511515     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
It has been proposed that populations of neurons process information in terms of probability density functions (PDFs) of analog variables. Such analog variables range, for example, from target luminance and depth on the sensory interface to eye position and joint angles on the motor output side. The requirement that analog variables must be processed leads inevitably to a probabilistic description, while the limited precision and lifetime of the neuronal processing units lead naturally to a population representation of information. We show how a time-dependent probability density rho(x; t) over variable x, residing in a specified function space of dimension D, may be decoded from the neuronal activities in a population as a linear combination of certain decoding functions phi(i)(x), with coefficients given by the N firing rates a(i)(t) (generally with D << N). We show how the neuronal encoding process may be described by projecting a set of complementary encoding functions phi;(i)(x) on the probability density rho(x; t), and passing the result through a rectifying nonlinear activation function. We show how both encoders phi;(i)(x) and decoders phi(i)(x) may be determined by minimizing cost functions that quantify the inaccuracy of the representation. Expressing a given computation in terms of manipulation and transformation of probabilities, we show how this representation leads to a neural circuit that can carry out the required computation within a consistent Bayesian framework, with the synaptic weights being explicitly generated in terms of encoders, decoders, conditional probabilities, and priors.
Authors:
M J Barber; J W Clark; C H Anderson
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't    
Journal Detail:
Title:  Neural computation     Volume:  15     ISSN:  0899-7667     ISO Abbreviation:  Neural Comput     Publication Date:  2003 Aug 
Date Detail:
Created Date:  2003-09-26     Completed Date:  2003-10-23     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  9426182     Medline TA:  Neural Comput     Country:  United States    
Other Details:
Languages:  eng     Pagination:  1843-64     Citation Subset:  IM    
Affiliation:
Institut für Theoretische Physik, Universität zu Köln, D-50937 Köln, Germany.
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MeSH Terms
Descriptor/Qualifier:
Models, Neurological*
Models, Statistical*
Neural Networks (Computer)*
Neurons / physiology*
Visual Pathways / cytology,  physiology*

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