• Corpus ID: 58889445

New families of simplicial filtration functors

@article{Chowdhury2017NewFO,
  title={New families of simplicial filtration functors},
  author={Samir Chowdhury and Nathaniel Clause and Facundo M{\'e}moli and Jose Angel Sanchez and Zoe Wellner},
  journal={arXiv: Algebraic Topology},
  year={2017}
}
The so called \v{C}ech and Vietoris-Rips simplicial filtrations are designed to capture information about the topological structure of metric datasets. These filtrations are two of the workhorses in the field of topological data analysis. They enjoy stability with respect to the Gromov-Hausdorff (GH) distance, and this stability property allows us to estimate the GH distance between finite metric space representations of the underlying datasets. Via the concept of Gromov's curvature sets we… 
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