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SUMMARY:Computational Neuroscience Journal Club - Dr Jean-Pascal Pfister (
 Cambridge University\, UK)
DTSTART:20091020T150000Z
DTEND:20091020T160000Z
UID:TALK20589@talks.cam.ac.uk
CONTACT:Dr Jean-Pascal Pfister
DESCRIPTION:Jean-Pascal will present a paper by A.G. Hawkes\n\nPoint Spect
 ra of Some Mutually Exciting Point Processes\n\nJournal of the Royal Stati
 stical Society. Series B (Methodological)\, Vol. 33\, No. 3 (1971)\, pp. 4
 38\n\nURL: http://www.jstor.org/stable/2984686\n\nAlthough slightly techni
 cal\, this elegant paper is very relevant for the study of the dynamics  
 of recurrent neural networks. In particular it calculates explicitly the a
 utocorrelation function for a family of recurrent networks.\n\nAbstract:\n
 \nIn contagious processes\, the occurrence of events increases the probabi
 lity of further events occurring in the near future. Also several series o
 f events may interact with each other\, for example on might consider noti
 fications of some disease in a number of adjacent regions which would inte
 ract through infectives or carriers moving between the regions\, In this p
 aper\, we postulate a model for such processes and derive a general expres
 sion for the point spectral matrices. These theoretical spectra are useful
  for comparison with spectra estimated from data and thus provide a means 
 of evaluating the fit of such a model in the madder of Barlett (1963). The
  model studied was put forward in an earlier paper (Hawkes\, 1971) but the
  solution was obtained only in special cases. In this paper\, an elegant s
 olution is obtained for the general case.\n
LOCATION:Cambridge University Engineering Department\, CBL Rm #438 (http:/
 /learning.eng.cam.ac.uk/Public/Directions)
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