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PRODID:-//Memento EPFL//
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SUMMARY:Approximating persistent homology in Euclidean space through colla
 pses
DTSTART:20160310T141500
DTEND:20160310T153000
DTSTAMP:20260408T050342Z
UID:6413f472f9ebd52c1a4ca76ae48af15e23484bf84d7d4c35c4e91182
CATEGORIES:Conferences - Seminars
DESCRIPTION:Gard Spreemann (EPFL)    \n\n	 \nThe inclusive nature of th
 e widely used Čech filtration can\, for computational reasons\, preclude 
 its use in certain situations. Imagine for example points sampled nicely f
 rom a circle\, together with a "lump" of points collected very densely som
 ewhere. While the lump contributes nothing of interest to homology\, its p
 resence will cause a complete subcomplex on many vertices to form at a ver
 y early stage in the filtration\, and remain with the persistence computat
 ion at all later scales. We propose a method for coarsening the covering s
 ets of the Čech complex\, which yields a sequence of nerves connected by 
 simplicial maps. While the coarsened covers are no longer good\, we show t
 hat their associated persistence module is approximate to that of ordinary
  Čech persistence. Joint work with Magnus Botnan.\n\n	 
LOCATION:MA 12
STATUS:CONFIRMED
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