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» Zigzag Persistence
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COMPGEOM
2009
ACM
13 years 11 months ago
Zigzag persistent homology and real-valued functions
We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derived from the levelsets of a real-valued function on a top...
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov
COMPGEOM
2011
ACM
12 years 8 months ago
Zigzag persistent homology in matrix multiplication time
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skra...
CORR
2008
Springer
53views Education» more  CORR 2008»
13 years 4 months ago
Zigzag Persistence
Gunnar Carlsson, Vin de Silva
FOCM
2011
107views more  FOCM 2011»
12 years 8 months ago
Quantifying Transversality by Measuring the Robustness of Intersections
By definition, transverse intersections are stable under infinitesimal perturbations. Using persistent homology, we extend this notion to a measure. Given a space of perturbatio...
Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Pat...