• DOI:10.1007/S10440-012-9769-0
Corpus ID: 4809929

Stable Comparison of Multidimensional Persistent Homology Groups with Torsion

@article{Frosini2010StableCO,
  title={Stable Comparison of Multidimensional Persistent Homology Groups with Torsion},
  author={P. Frosini},
  journal={Acta Applicandae Mathematicae},
  year={2010},
  volume={124},
  pages={43-54}
}

P. Frosini

Published 2010

Mathematics, Computer Science

Acta Applicandae Mathematicae

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 Pattern Recognition. In this paper we introduce a pseudo-distance dT that represents a possible solution to this problem. Indeed, dT is a pseudo-distance between multidimensional persistent homology groups with coefficients in an Abelian group, hence possibly having torsion. Our main theorem proves the stability of the… CONTINUE READING

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