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» Topological Persistence and Simplification
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COMPGEOM
2009
ACM
14 years 2 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
MOBIHOC
2008
ACM
14 years 7 months ago
Using persistent homology to recover spatial information from encounter traces
In order to better understand human and animal mobility and its potential effects on Mobile Ad-Hoc networks and Delay-Tolerant Networks, many researchers have conducted experiment...
Brenton D. Walker
COMPGEOM
2005
ACM
13 years 9 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...
CORR
2010
Springer
96views Education» more  CORR 2010»
13 years 5 months ago
Stable comparison of multidimensional persistent homology groups with torsion
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...
Patrizio Frosini
CN
2000
84views more  CN 2000»
13 years 7 months ago
Persistent route oscillations in inter-domain routing
Hop-by-hop inter-domain routing protocols, such as BGP and IDRP, use independent route selection to realize domains' local policies. A domain chooses its routes based on path...
Kannan Varadhan, Ramesh Govindan, Deborah Estrin