Independent neurons representing a finite set of stimuli: dependence of the mutual information on the number of units sampled

Ines Samengo

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arXiv · cond-mat/0202023

Independent neurons representing a finite set of stimuli: dependence of the mutual information on the number of units sampled

Ines Samengo

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Abstract

We 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.

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BibTeX RIS

Ines Samengo. 2002-02-01. Independent neurons representing a finite set of stimuli: dependence of the mutual information on the number of units sampled. https://arxiv.org/abs/cond-mat/0202023

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