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SUMMARY:Mike Lesnick (SUNY Albany - USA)
DTSTART:20241115T160000Z
DTEND:20241115T170000Z
DTSTAMP:20260423T022917Z
UID:GEOTOP-A/89
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEOTOP-A/89/
 ">Robustness and Computability of 2-Parameter Persistent Homology</a>\nby 
 Mike Lesnick (SUNY Albany - USA) as part of GEOTOP-A seminar\n\n\nAbstract
 \nThe Vietoris-Rips filtration\, the standard filtration on metric data in
  topological data analysis\, is notoriously sensitive to outliers and can 
 be insensitive to variations in density. A natural solution is to consider
  2-parameter persistence\, treating density and spatial scale as separate 
 parameters. In this talk\, I will present results on the stability\, robus
 tness\, and computability of 2-parameter persistence. A main focus will be
  Sheehy's subdivision-Rips bifiltration\, the only density-sensitive bifil
 tration on metric data known to satisfy a strong robustness property. This
  filtration is too large to compute directly\, but we will see that it can
  be approximated by much smaller objects. Our results reveal an apparent t
 ension between robustness and computability for 2-parameter persistence\, 
 which in spite of substantial progress\, is not yet fully understood.\n\nT
 he talk will be based on three papers\, the first with Andrew Blumberg and
  the others with KenMcCabe: \n<ul>\n<li>https://link.springer.com/article/
 10.1007/s10208-022-09576-6</li>\n<li>https://arxiv.org/abs/2406.07679</li>
 \n<li>https://arxiv.org/abs/2408.16716</li>\n</ul>\n
LOCATION:https://researchseminars.org/talk/GEOTOP-A/89/
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