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146 nips-2000-What Can a Single Neuron Compute?

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Author: Blaise Agüera y Arcas, Adrienne L. Fairhall, William Bialek

Abstract: In this paper we formulate a description of the computation performed by a neuron as a combination of dimensional reduction and nonlinearity. We implement this description for the HodgkinHuxley model, identify the most relevant dimensions and find the nonlinearity. A two dimensional description already captures a significant fraction of the information that spikes carry about dynamic inputs. This description also shows that computation in the Hodgkin-Huxley model is more complex than a simple integrateand-fire or perceptron model. 1

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