preprints_on_spiking_neurons

[Wulfram Gerstner]

Three review papers on 
Neural Networks with Spiking Neurons 
can be retrieved from the following web page.

http://diwww.epfl.ch/lami/team/gerstner/wg_pub.html
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I. SPIKING NEURONS. 
(W. Gerstner)
This tutorial paper gives a  review of several
models of spiking neurons (integrate-and-fire; Hodgkin-Huxley;
spike response model).
(55 pages)


II. POPULATIONS OF SPIKING NEURONS.
(W. Gerstner)
The second paper develops the mathematical framework
to describe populations of spiking neurons.
Specific topics are
(i) the rapid response of populations of spiking neurons
to changes in the input.
(ii) exact stability conditions for perfectly synchronized
locked solutions as well as
(iii) the stability of  incoherent firing activity
in the presence of noise and transmission delays.
(38 pages)


III. HEBBIAN LEARNING OF PULSE TIMING IN THE BARN OWL AUDITORY SYSTEM.
(W. Gerstner, R. Kempter, J.L. van Hemmen and H. Wagner)
A correlation based learning
rule based on spike timing is discussed and applied
to the problem of coincidence detection
and sound localization in the barn owl auditory system.
Specific topics are
(i) the relation of spike-based and rate-based learning
(ii) delay line selection by learning
(iii) phase locking in the auditory system.
(26 pages)


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The three papers are preprints of book chapters.
The  book entitled  Pulsed Neural Nets edited by W. Maas and C. Bishop
 will appear in October/November 98 (MIT Press).