Independent neurons representing a finite set of stimuli: dependence of the mutual information on the number of units sampled.
نویسنده
چکیده
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.
منابع مشابه
Representational capacity of a set of independent neurons.
The capacity with which a system of independent neuron-like units represents a given set of stimuli is studied by calculating the mutual information between the stimuli and the neural responses. Both discrete noiseless and continuous noisy neurons are analyzed. In both cases, the information grows monotonically with the number of neurons considered. Under the assumption that neurons are indepen...
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ورودعنوان ژورنال:
- Network
دوره 12 1 شماره
صفحات -
تاریخ انتشار 2001