• DOI:10.1007/s10208-014-9229-5
Corpus ID: 16351674

Metrics for Generalized Persistence Modules

@article{Bubenik2015MetricsFG,
  title={Metrics for Generalized Persistence Modules},
  author={Peter Bubenik and V. D. Silva and J. Scott},
  journal={Foundations of Computational Mathematics},
  year={2015},
  volume={15},
  pages={1501-1531}
}

Peter Bubenik, V. D. Silva, J. Scott

Published 2015

Mathematics, Computer Science

Foundations of Computational Mathematics

We consider the question of defining interleaving metrics on generalized persistence modules over arbitrary preordered sets. Our constructions are functorial, which implies a form of stability for these metrics. We describe a large class of examples, inverse-image persistence modules, which occur whenever a topological space is mapped to a metric space. Several standard theories of persistence and their stability can be described in this framework. This includes the classical case of… CONTINUE READING

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