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» Zigzag Persistence
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COMPGEOM
2009
ACM
15 years 4 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
14 years 1 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»
14 years 10 months ago
Zigzag Persistence
Gunnar Carlsson, Vin de Silva
FOCM
2011
107views more  FOCM 2011»
14 years 1 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...