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» Computing Multidimensional Persistence
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ICDCS
1993
IEEE
14 years 1 months ago
Maintaining Information about Persistent Replicated Objects in a Distributed System
The paper presents a general model for persistent replicated object management and identifies what meta information about objects needs to be maintained by a naming and binding se...
Mark C. Little, Daniel L. McCue, Santosh K. Shriva...
COMPGEOM
2005
ACM
13 years 11 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
MFCS
2010
Springer
13 years 8 months ago
Persistent Homology under Non-uniform Error
Using ideas from persistent homology, the robustness of a level set of a real-valued function is defined in terms of the magnitude of the perturbation necessary to kill the classe...
Paul Bendich, Herbert Edelsbrunner, Michael Kerber...
COMPGEOM
2006
ACM
14 years 3 months ago
Vines and vineyards by updating persistence in linear time
Persistent homology is the mathematical core of recent work on shape, including reconstruction, recognition, and matching. Its pertinent information is encapsulated by a pairing o...
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy...
COMPGEOM
2011
ACM
13 years 1 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang