Hypothesis testing for topological data analysis

@article{Robinson2017HypothesisTF,
  title={Hypothesis testing for topological data analysis},
  author={A. Robinson and Katharine Turner},
  journal={Journal of Applied and Computational Topology},
  year={2017},
  volume={1},
  pages={241-261}
}
Persistence homology is a vital tool for topological data analysis. Previous work has developed some statistical estimators for characteristics of collections of persistence diagrams. However, tools that provide statistical inference for observations that are persistence diagrams are limited. Specifically, there is a need for tests that can assess the strength of evidence against a claim that two samples arise from the same population or process. This expository paper provides an introduction… Expand
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