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Phys Rev Lett. 2010 Nov 19;105(21):218102. Epub 2010 Nov 19.

Theory of spike timing-based neural classifiers.

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Racah Institute of Physics, Hebrew University, 91904 Jerusalem, Israel.


We study the computational capacity of a model neuron, the tempotron, which classifies sequences of spikes by linear-threshold operations. We use statistical mechanics and extreme value theory to derive the capacity of the system in random classification tasks. In contrast with its static analog, the perceptron, the tempotron's solutions space consists of a large number of small clusters of weight vectors. The capacity of the system per synapse is finite in the large size limit and weakly diverges with the stimulus duration relative to the membrane and synaptic time constants.

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