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references.bib
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references.bib
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@article{vr,
author = {Barsocchi, Paolo and Cassara, Pietro and Giorgi, Daniela and Moroni, Davide and Pascali, Maria},
year = {2018},
month = {01},
pages = {99},
title = {Computational Topology to Monitor Human Occupancy},
volume = {2},
journal = {Proceedings},
doi = {10.3390/proceedings2020099}
}
@article{ghrist2008barcodes,
title={Barcodes: the persistent topology of data},
author={Ghrist, Robert},
journal={Bulletin of the American Mathematical Society},
volume={45},
number={1},
pages={61--75},
year={2008}
}
@book{oudot2017persistence,
title={Persistence theory: from quiver representations to data analysis},
author={Oudot, Steve Y},
volume={209},
year={2017},
publisher={American Mathematical Soc.}
}
@article{adams2017persistence,
title={Persistence images: A stable vector representation of persistent homology},
author={Adams, Henry and Emerson, Tegan and Kirby, Michael and Neville, Rachel and Peterson, Chris and Shipman, Patrick and Chepushtanova, Sofya and Hanson, Eric and Motta, Francis and Ziegelmeier, Lori},
journal={Journal of Machine Learning Research},
volume={18},
number={8},
pages={1--35},
year={2017}
}
@article{singh2007topological,
title={Topological methods for the analysis of high dimensional data sets and 3d object recognition.},
author={Singh, Gurjeet and M{\'e}moli, Facundo and Carlsson, Gunnar E and others},
journal={PBG@ Eurographics},
volume={2},
pages={091--100},
year={2007}
}
@article{dlotko2019ball,
title={Ball mapper: A shape summary for topological data analysis},
author={D{\l}otko, Pawe{\l}},
journal={arXiv preprint arXiv:1901.07410},
year={2019}
}
@article{chazal2013persistence,
title={Persistence-based clustering in Riemannian manifolds},
author={Chazal, Fr{\'e}d{\'e}ric and Guibas, Leonidas J and Oudot, Steve Y and Skraba, Primoz},
journal={Journal of the ACM (JACM)},
volume={60},
number={6},
pages={1--38},
year={2013},
publisher={ACM New York, NY, USA}
}
@article{chazal2021talk,
title={A brief introduction to Persistent Homology},
author={Chazal, Fr{\'e}d{\'e}ric},
journal={https://gdr-gdm.univ-lr.fr/ihp-maths-meca/materials/chazal_ihp_Nov2021.pdf},
}
@article{nicolau2011topology,
title={Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival},
author={Nicolau, Monica and Levine, Arnold J and Carlsson, Gunnar},
journal={Proceedings of the National Academy of Sciences},
volume={108},
number={17},
pages={7265--7270},
year={2011},
publisher={National Acad Sciences}
}
@article{lum2013extracting,
title={Extracting insights from the shape of complex data using topology},
author={Lum, Pek Y and Singh, Gurjeet and Lehman, Alan and Ishkanov, Tigran and Vejdemo-Johansson, Mikael and Alagappan, Muthu and Carlsson, John and Carlsson, Gunnar},
journal={Scientific reports},
volume={3},
number={1},
pages={1236},
year={2013},
publisher={Nature Publishing Group UK London}
}
@article{dlotko2019ball,
title={Ball mapper: A shape summary for topological data analysis},
author={D{\l}otko, Pawe{\l}},
journal={arXiv preprint arXiv:1901.07410},
year={2019}
}