729 search results - page 4 / 146 » Computing persistent homology |
118
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COMPGEOM
2005
ACM
14 years 11 months ago
2005
ACM
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...
113
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FOCS
2000
IEEE
15 years 1 months ago
2000
IEEE
We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens ...
IPSN
2005
Springer
15 years 3 months ago
2005
Springer
We consider coverage problems in sensor networks of stationary nodes with minimal geometric data. In particular, there are no coordinates and no localization of nodes. We introduc...
CORR
2010
Springer
14 years 7 months ago
2010
Springer
The present lack of a stable method to compare persistent homology groups with torsion is a relevant problem in current research about Persistent Homology and its applications in P...
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IPMI
2009
Springer
15 years 10 months ago
2009
Springer
We present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy mu...