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» Topological Persistence and Simplification
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COMPGEOM
2009
ACM
15 years 6 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
15 years 12 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
15 years 2 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»
14 years 9 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»
15 years 3 days 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