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» The theory of multidimensional persistence
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CORR
2006
Springer
93views Education» more  CORR 2006»
13 years 5 months ago
Stability in multidimensional Size Theory
This paper proves that in Size Theory the comparison of multidimensional size functions can be reduced to the 1-dimensional case by a suitable change of variables. Indeed, we show...
Andrea Cerri, Patrizio Frosini, Claudia Landi
OOIS
1997
Springer
13 years 9 months ago
Object-Oriented Design of a Database Engine for Multidimensional Discrete Data
Multidimensional discrete data (MDD), i.e. arrays of arbitrary size, dimension and base type, occur in a variety of application elds. The object-oriented DBMS RasDaMan2 provides d...
Paula Furtado, Roland Ritsch, Norbert Widmann, Pet...
COMPGEOM
2009
ACM
13 years 12 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
COMPGEOM
2009
ACM
13 years 12 months ago
Proximity of persistence modules and their diagrams
Topological persistence has proven to be a key concept for the study of real-valued functions defined over topological spaces. Its validity relies on the fundamental property tha...
Frédéric Chazal, David Cohen-Steiner...