references.bib

@article{kaji2020cubical,
  title={Cubical ripser: Software for computing persistent homology of image and volume data},
  author={Kaji, Shizuo and Sudo, Takeki and Ahara, Kazushi},
  journal={arXiv preprint arXiv:2005.12692},
  year={2020}
}

@article{ali2023survey,
  title={A survey of vectorization methods in topological data analysis},
  author={Ali, Dashti and Asaad, Aras and Jimenez, Maria-Jose and Nanda, Vidit and Paluzo-Hidalgo, Eduardo and Soriano-Trigueros, Manuel},
  journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
  year={2023},
  publisher={IEEE}
}

@inproceedings{fasy2020comparing,
  title={Comparing distance metrics on vectorized persistence summaries},
  author={Fasy, Brittany Terese and Qin, Yu and Summa, Brian and Wenk, Carola},
  booktitle={Topological Data Analysis and Beyond Workshop at the 34th Conference on Neural Information Processing Systems (NeurIPS 2020)},
  year={2020}
}

@article{pun2022persistent,
  title={Persistent-homology-based machine learning: a survey and a comparative study},
  author={Pun, Chi Seng and Lee, Si Xian and Xia, Kelin},
  journal={Artificial Intelligence Review},
  volume={55},
  number={7},
  pages={5169--5213},
  year={2022},
  publisher={Springer}
}

@book{kuhn2022tidy,
  title={Tidy modeling with {R}},
  author={Kuhn, Max and Silge, Julia},
  year={2022},
  publisher={" O'Reilly Media, Inc."}
}

@book{pesarin2010permutation,
  title={Permutation tests for complex data: theory, applications and software},
  author={Pesarin, Fortunato and Salmaso, Luigi},
  year={2010},
  publisher={John Wiley \& Sons}
}

@article{chan2022computationally,
  title={A computationally efficient framework for vector representation of persistence diagrams},
  author={Chan, Kit C and Islambekov, Umar and Luchinsky, Alexey and Sanders, Rebecca},
  journal={Journal of Machine Learning Research},
  volume={23},
  number={268},
  pages={1--33},
  year={2022}
}

@phdthesis{pathirana2023efficient,
  title={An efficient framework for hypothesis testing using Topological Data Analysis},
  author={Pathirana, Hasani Indunil},
  year={2023},
  school={Bowling Green State University}
}

@article{islambekov2023vector,
  title={Vector summaries of persistence diagrams for permutation-based hypothesis testing},
  author={Islambekov, Umar and Pathirana, Hasani},
  journal={arXiv preprint arXiv:2306.06257},
  year={2023}
}

@article{cohensteiner2009extending,
  title = {Extending {{Persistence Using Poincar{\'e}}} and {{Lefschetz Duality}}},
  author = {{Cohen-Steiner}, David and Edelsbrunner, Herbert and Harer, John},
  year = {2009},
  journal = {Foundations of Computational Mathematics},
  volume = {9},
  number = {1},
  pages = {79--103},
  issn = {1615-3383},
}

@article{desilva2011dualities,
  title = {Dualities in Persistent (Co)Homology},
  author = {{de Silva}, Vin and Morozov, Dmitriy and {Vejdemo-Johansson}, Mikael},
  year = {2011},
  month = nov,
  journal = {Inverse Problems},
  volume = {27},
  number = {12},
  pages = {124003},
  issn = {0266-5611},
  doi = {10.1088/0266-5611/27/12/124003},
  langid = {english}
}

@inproceedings{chen2011persistent,
  title = {Persistent Homology Computation with a Twist},
  booktitle = {27th {{European Workshop}} on {{Computational Geometry}} ({{EuroCG}} 2011)},
  author = {Chen, Chao and Kerber, Michael},
  year = {2011},
  month = mar,
  pages = {197--200},
  address = {Morschach, Switzerland},
  url = {https://research-explorer.ista.ac.at/record/3270},
  langid = {english},
  annotation = {Accepted: 2022-08-04T11:31:22Z}
}

@article{bauer2021ripser,
  ids = {Bauer2021a},
  title = {Ripser: Efficient Computation of {{Vietoris}}--{{Rips}} Persistence Barcodes},
  author = {Bauer, Ulrich},
  year = {2021},
  month = jun,
  journal = {Journal of Applied and Computational Topology},
  volume = {5},
  number = {3},
  pages = {391--423},
  issn = {2367-1734},
  doi = {10.1007/s41468-021-00071-5},
  langid = {english}
}

@inproceedings{pham2023wagner,
  title = {Computing {{Representatives}} of {{Persistent Homology Generators}} with a {{Double Twist}}},
  booktitle = {Proceedings of the 35th {{Canadian Conference}} on {{Computational Geometry}} ({{CCCG}} 2023)},
  author = {Pham, Tuyen and Wagner, Hubert},
  year = {2023},
  month = aug,
  pages = {283--290},
  address = {Montreal, QC, Canada}
}

@article{abramowicz2023domain,
  title={Domain selection and familywise error rate for functional data: A unified framework},
  author={Abramowicz, Konrad and Pini, Alessia and Schelin, Lina and Sj{\"o}stedt de Luna, Sara and Stamm, Aymeric and Vantini, Simone},
  journal={Biometrics},
  volume={79},
  number={2},
  pages={1119--1132},
  year={2023},
  publisher={Wiley Online Library}
}

@article{pini2017interval,
  title={Interval-wise testing for functional data},
  author={Pini, Alessia and Vantini, Simone},
  journal={Journal of Nonparametric Statistics},
  volume={29},
  number={2},
  pages={407--424},
  year={2017},
  publisher={Taylor \& Francis}
}

@inproceedings{motta2019hyperparameter,
  title = {Hyperparameter {{Optimization}} of {{Topological Features}} for {{Machine Learning Applications}}},
  booktitle = {2019 18th {{IEEE International Conference On Machine Learning And Applications}} ({{ICMLA}})},
  author = {Motta, Francis and Tralie, Christopher and Bedini, Rossella and Bini, Fabiano and Bini, Gilberto and Eramian, Hamed and Gameiro, Marcio and Haase, Steve and Haddox, Hugh and Harer, John and Leiby, Nick and Marinozzi, Franco and Novotney, Scott and Rocklin, Gabe and Singer, Jed and Strickland, Devin and Vaughn, Matt},
  year = {2019},
  month = dec,
  pages = {1107--1114},
  doi = {10.1109/ICMLA.2019.00185}
}

@article{bubenik2017persistence,
  title = {A Persistence Landscapes Toolbox for Topological Statistics},
  author = {Bubenik, Peter and D{\l}otko, Pawe{\l}},
  year = {2017},
  month = jan,
  journal = {Journal of Symbolic Computation},
  series = {Algorithms and {{Software}} for {{Computational Topology}}},
  volume = {78},
  pages = {91--114},
  issn = {0747-7171},
  doi = {10.1016/j.jsc.2016.03.009},
}

@article{bubenik2023exact,
  title={Exact weights, path metrics, and algebraic Wasserstein distances},
  author={Bubenik, Peter and Scott, Jonathan and Stanley, Donald},
  journal={Journal of Applied and Computational Topology},
  volume={7},
  number={2},
  pages={185--219},
  year={2023},
  publisher={Springer}
}

@misc{kerber2017geometry,
  title={Geometry helps to compare persistence diagrams},
  author={Kerber, Michael and Morozov, Dmitriy and Nigmetov, Arnur},
  year={2017},
  publisher={ACM New York, NY, USA}
}

@article{carriere2018structure,
  title = {Structure and {{Stability}} of the {{One-Dimensional Mapper}}},
  author = {Carri{\`e}re, Mathieu and Oudot, Steve},
  year = {2018},
  month = dec,
  journal = {Foundations of Computational Mathematics},
  volume = {18},
  number = {6},
  pages = {1333--1396},
  issn = {1615-3383},
  doi = {10.1007/s10208-017-9370-z},
  langid = {english}
}