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27 April 2024
 
  » arxiv » cond-mat/0202023

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Independent neurons representing a finite set of stimuli: dependence of the mutual information on the number of units sampled
Ines Samengo ;
Date 1 Feb 2002
Subject Disordered Systems and Neural Networks; Neurons and Cognition | cond-mat.dis-nn q-bio.NC
AbstractWe study the capacity with which a system of independent neuron-like units represents a given set of stimuli. We assume that each neuron provides a fixed amount of information, and that the information provided by different neurons has a random overlap. We derive analytically the dependence of the mutual information between the set of stimuli and the neural responses on the number of units sampled. For a large set of stimuli, the mutual information rises linearly with the number of neurons, and later saturates exponentially at its maximum value.
Source arXiv, cond-mat/0202023
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