Cagliari, Francesca ;
Di Fabio, Barbara ;
Ferri, Massimo
(2008)
One-Dimensional Reduction of Multidimensional Persistent Homology.
DOI
10.6092/unibo/amsacta/2632.
Full text available as:
Abstract
A recent result on size functions is extended to higher homology modules: the persistent
homology based on a multidimensional measuring function is reduced to a 1-dimensional
one. This leads to a stable distance for multidimensional persistent homology. Some reflec-
tions on i-essentiality of homological critical values conclude the paper.
Abstract
A recent result on size functions is extended to higher homology modules: the persistent
homology based on a multidimensional measuring function is reduced to a 1-dimensional
one. This leads to a stable distance for multidimensional persistent homology. Some reflec-
tions on i-essentiality of homological critical values conclude the paper.
Document type
Monograph
(Technical Report)
Creators
Keywords
Size function, measuring function, rank invariant, pattern recognition, i-essentiality
Subjects
DOI
Deposit date
23 Sep 2009 09:14
Last modified
16 May 2011 12:11
URI
Other metadata
Document type
Monograph
(Technical Report)
Creators
Keywords
Size function, measuring function, rank invariant, pattern recognition, i-essentiality
Subjects
DOI
Deposit date
23 Sep 2009 09:14
Last modified
16 May 2011 12:11
URI
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