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» The theory of multidimensional persistence
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CORR
2006
Springer
93views Education» more  CORR 2006»
14 years 11 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
15 years 3 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
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
COMPGEOM
2009
ACM
15 years 6 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...