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

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

2002-02-01

arxiv.org/abs/cond-mat/0202023v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 5 figures, Network: Computation in Neural Systems, vol 12 (1) 21 - 31 (2000)

Scientific paper

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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