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BEGIN:VEVENT
SUMMARY:Applied Topology Seminar - "A directed persistent homology theory 
 for dissimilarity functions"
DTSTART:20200922T151500
DTEND:20200922T161500
DTSTAMP:20260414T072406Z
UID:0ba9426d3fc850aae535c3c9f60760c33bb12bc957bc92a03b8933a3
CATEGORIES:Conferences - Seminars
DESCRIPTION:David Mendez\nThe first Applied Topology Seminar of this year 
 will be held online on Tuesday\, the 22nd of September at 15:15.\n\nZoom l
 ink:  https://epfl.zoom.us/j/96240198275\n\nSpeaker: David Mendez\, Univ
 ersity of Southampton\n\nTitle: A directed persistent homology theory for
  dissimilarity functions\n\nAbstact: Persistent homology is one of the mo
 st successful tools in Topological Data Analysis\, having been applied in 
 numerous scientific domains such as medicine\, neuroscience\, robotics\, a
 nd many others. However\, a fundamental limitation of persistent homology 
 is its inability to incorporate directionality.\nIn this talk we will intr
 oduce a theory of persistent homology for directed simplicial complexes wh
 ich detects directed cycles in odd dimensions. To do so\, we introduce a h
 omology theory with coefficients in semirings for these complexes: by expl
 icitly removing additive inverses\, we can detect directed cycles algebrai
 cally. We will also exhibit some of the features of this persistent homolo
 gy theory\, including its stability and how the obtained persistent diagra
 ms relate to those obtained from persistent homology with ring coefficient
 s. We will end the talk by highlighting some of the computational challeng
 es towards the effective computation of the directed persistent diagram of
  a pointcloud.\n\nMore information on the seminar's webpage: https://www.
 epfl.ch/labs/hessbellwald-lab/seminar/apptopsem2021/#mendez
LOCATION:
STATUS:CONFIRMED
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