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NeuroCOLT
Technical Report NC-TR-97-026
Computing
Functions with Spiking Neurons in Temporal Coding
Berthold
Ruf
Technische Universitaet Graz, Austria
Abstract
For fast neural computations within the brain it is very likely
that the timing of single firing events is relevant. Recently Maass
has shown that under certain weak assumptions functions can be computed
in temporal coding by leaky integrate-and-fire neurons. Here we demonstrate
with the help of computer simulations using GENESIS that biologically
more realistic neurons can compute linear functions in a natural and
straightforward way based on the basic principles of the construction
given by Maass. One only has to assume that a neuron receives all
its inputs in a time intervall of approximately the length of the
rising segment of its excitatory postsynaptic potentials. We also
show that under certain assumptions there exists within this construction
some type of activation function being computed by such neurons, which
allows the fast computation of arbitrary continuous bounded functions.
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