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SUMMARY:Mathis Rost (Chalmers)
DTSTART:20251022T111500Z
DTEND:20251022T120000Z
DTSTAMP:20260422T155052Z
UID:gbgstats/99
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/gbgstats/99/
 ">Void Probabilities and Likelihood Approximation for Gibbs Processes</a>\
 nby Mathis Rost (Chalmers) as part of Gothenburg statistics seminar\n\nLec
 ture held in MVL14.\n\nAbstract\nWhen fitting a model to data\, one would 
 ideally like to use maximum likelihood estimation\, due to its nice statis
 tical properties. Unfortunately\, the likelihood function\nof a general Gi
 bbs point process is typically not tractable\, due to the associated norma
 lizing constant. This has led to the development of a range of alternative
  methods\,\nsuch as Takacs-Fiksel estimation (including its special case p
 seudolikelihood estimation) and Point Process Learning.\nLeveraging recent
  probabilistic results for Gibbs processes\, in this talk we present an\na
 pproach to perform approximate likelihood estimation for Gibbs processes. 
 Specifically\, we show that the likelihood function can be expressed compl
 etely in terms of\nthe Papangelou conditional intensity\, which is typical
 ly known and tractable. This\nnew likelihood representation involves an in
 finite series expansion\, and we discuss\ndifferent ways of approximating 
 it\, and thereby the likelihood function. We further\ndiscuss how this pla
 ys out in certain models and compare it to the state-of-the-art.\n
LOCATION:https://researchseminars.org/talk/gbgstats/99/
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