Proximity of persistence modules and their diagrams

@inproceedings{Chazal2009ProximityOP,
  title={Proximity of persistence modules and their diagrams},
  author={F. Chazal and D. Cohen-Steiner and M. Glisse and L. Guibas and S. Oudot},
  booktitle={SCG '09},
  year={2009}
}
  • F. Chazal, D. Cohen-Steiner, +2 authors S. Oudot
  • Published in SCG '09 2009
  • Mathematics, Computer Science
  • 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 that the persistence diagrams of nearby functions are close. However, existing stability results are restricted to the case of continuous functions defined over triangulable spaces. In this paper, we present new stability results that do not suffer from the above restrictions. Furthermore, by working at an algebraic level… CONTINUE READING
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    References

    Proximity of persistence modules and their diagrams
    • Research Report 6568,
    • 2008