Spiking neuron channel
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2009-01-01
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IEEE International Symposium on Information Theory - Proceedings
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IEEE
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Electrical and Electronic Engineering
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Conference Paper
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Ikeda, S. & Manton, J. H. (2009). Spiking neuron channel. IEEE International Symposium on Information Theory Proceedings, pp.1589-1593. IEEE. https://doi.org/10.1109/ISIT.2009.5205817.
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Abstract
The information transfer through a single neuron is a fundamental information processing in the brain. This paper studies the information-theoretic capacity of a single neuron by treating the neuron as a communication channel. Two different models are considered. The temporal coding model of a neuron as a communication channel assumes the output is $\tau$ where $\tau$ is a gamma-distributed random variable corresponding to the inter-spike interval, that is, the time it takes for the neuron to fire once. The rate coding model is similar; the output is the actual rate of firing over a fixed period of time. We prove that for both models, the capacity achieving distribution has only a finite number of probability mass points. This allows us to compute numerically the capacity of a neuron. Our capacity results are in a plausible range based on biological evidence to date.
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