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» Computing Multidimensional Persistence
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ISAAC
2009
Springer
93views Algorithms» more  ISAAC 2009»
13 years 11 months ago
Computing Multidimensional Persistence
Abstract. The theory of multidimensional persistence captures the topology of a multifiltration – a multiparameter family of increasing spaces. Multifiltrations arise naturally...
Gunnar Carlsson, Gurjeet Singh, Afra Zomorodian
CORR
2010
Springer
91views Education» more  CORR 2010»
13 years 4 months ago
Invariance properties of the multidimensional matching distance in Persistent Topology and Homology
Abstract. Persistent Topology studies topological features of shapes by analyzing the lower level sets of suitable functions, called filtering functions, and encoding the arising i...
Andrea Cerri, Patrizio Frosini
CORR
2010
Springer
96views Education» more  CORR 2010»
13 years 1 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
SIGMOD
2010
ACM
255views Database» more  SIGMOD 2010»
13 years 9 months ago
Indexing multi-dimensional data in a cloud system
Providing scalable database services is an essential requirement for extending many existing applications of the Cloud platform. Due to the diversity of applications, database ser...
Jinbao Wang, Sai Wu, Hong Gao, Jianzhong Li, Beng ...
COMPGEOM
2007
ACM
13 years 8 months ago
The theory of multidimensional persistence
Persistent homology captures the topology of a filtration
Gunnar Carlsson, Afra Zomorodian