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SUMMARY:Attractive coupling of determinantal point processes using nonsymm
 etric kernels
DTSTART:20251021T091500Z
DTEND:20251021T101500Z
DTSTAMP:20260613T085000Z
UID:indico-event-14452@indico.math.cnrs.fr
DESCRIPTION:Speakers: Arnaud Poinas (Laboratoire de mathématiques de l'un
 iversité de Poitiers)\n\nDeterminantal point processes (or DPPs for short
 ) are a family of point processes used to model repulsive point patterns\,
  i.e. a random set of points that avoids being too close to each others. T
 hey are defined by a symmetric function\, called their kernel\, from which
  most of their properties are derived (correlations\, likelihood\, summary
  statistics\, simulation algorithms\, etc...). DPPs can also be defined us
 ing a non-symmetric kernel but this scenario has been rarely studied since
  most of the nice usual properties of DPPs needs the kernel symmetry to wo
 rk.\nIn this talk\, we are going to discuss the properties of these DPPs w
 ith generic kernels. First\, by taking a look at the necessary and suffici
 ent conditions needed on the kernel for the point process to be well-defin
 ed. Then\, by generalizing some of the usual properties of DPPs that needs
  the kernel symmetry. In particular\, since DPPs with non-symmetric kernel
 s can generate attraction\, we are going to look at how to use them to mod
 el marked point patterns with attraction between points of the same mark a
 nd repulsion between points of different marks.\n\nhttps://indico.math.cnr
 s.fr/event/14452/
LOCATION:Salle K. Johnson (1R3\, 1er étage)
URL:https://indico.math.cnrs.fr/event/14452/
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