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SUMMARY:Harmonic Data Analysis for Shape and Centrality
DTSTART;VALUE=DATE-TIME:20191108T014000Z
DTEND;VALUE=DATE-TIME:20191108T020000Z
DTSTAMP;VALUE=DATE-TIME:20260724T053722Z
UID:indico-contribution-38@sshep.snu.ac.kr
DESCRIPTION:Speakers: Woong Kook (Seoul National University)\nHarmonic dat
 a analysis aims to provide topological and combinatorial summaries of data
  sets by representing them as simplicial complexes. Topological data analy
 sis\, which we shall review briefly\, initiated a topological approach and
  introduced shape of data as a new data scientific feature. Recently\, the
  need for simplicial complexes for data analysis arose again due to the em
 ergence of simplicial networks for modeling higher order relations among d
 ata points\, which requires both topological insight and combinatorial pre
 cision. In this talk\, we will present methods from topological combinator
 ics for refining data shape via harmonic cycles and computing network cent
 rality via simplicial effective conductance. Applications to medicine and 
 social networks will be presented. We will also describe recent experiment
 s in machine learning incorporating mathematical data summary.\n\nhttps://
 sshep.snu.ac.kr/event/107/contributions/38/
LOCATION:Seoul National University\, College of Natural Sciences\, Buildin
 g 25-1 국제회의실 (International Conference Hall)
URL:https://sshep.snu.ac.kr/event/107/contributions/38/
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