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SUMMARY:Christophe Biscio (Aalborg University)
DTSTART:20220929T131500Z
DTEND:20220929T140000Z
DTSTAMP:20260422T155025Z
UID:gbgstats/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/gbgstats/1/"
 >Asymptotic topological data analysis for point processes</a>\nby Christop
 he Biscio (Aalborg University) as part of Gothenburg statistics seminar\n\
 nLecture held in MVL14.\n\nAbstract\nTopological Data Analysis has in the 
 past year attracted more attention in various fields such as in material s
 ciences to study the properties of porous material or in statistics to stu
 dy the asymptotic properties of random objects. However\, topological data
  analysis still appears hard to grasp for many statisticians. \n\nThis tal
 k intends to be an introduction to topological data analysis and therefore
  does not require any background in the field. We will present an overview
  of the different approaches in topological data analysis and will focus o
 n the persistent homology approach. \nWe will present the framework of thi
 s approach and its main mathematical objects. \nFinally\, we come back to 
 the land of Probability and will present a central limit theorem for the s
 o-called Betti numbers obtained from stationary point processes\, non-nece
 ssarily Poisson.\n
LOCATION:https://researchseminars.org/talk/gbgstats/1/
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