%-----------------------------
% A
%-----------------------------

@inproceedings{cavanna15geometric,
  author    = {Nicholas J. Cavanna and Mahmoodreza Jahanseir and Donald R. Sheehy},
  booktitle = {Proceedings of the Canadian Conference on Computational Geometry},
  title     = {A Geometric Perspective on Sparse Filtrations},
  url       = {https://arxiv.org/abs/1506.03797},
  year      = {2015}
}

@article{DBLP:journals/corr/BoissonnatS16,
  author        = {Jean{-}Daniel Boissonnat and
                   {Karthik {C. S.}}},
  title         = {An Efficient Representation for Filtrations of Simplicial Complexes},
  journal       = {CoRR},
  volume        = {abs/1607.08449},
  year          = {2016},
  url           = {https://arxiv.org/abs/1607.08449},
  archiveprefix = {arXiv},
  eprint        = {1607.08449},
  timestamp     = {Mon, 13 Aug 2018 16:46:26 +0200},
  biburl        = {https://dblp.org/rec/bib/journals/corr/BoissonnatS16},
  bibsource     = {dblp computer science bibliography, https://dblp.org}
}

@article{bubenik_dlotko_landscapes_2016,
  author  = {P. Bubenik and P. Dlotko},
  title   = {A persistence landscapes toolbox for topological statistics.},
  journal = {Journal of Symbolic Computation.},
  year    = {2016},
  url     = {https://doi.org/10.1016/j.jsc.2016.03.009}
}

@article{Reininghaus_Huber_ALL_PSSK,
  author  = {J. Reininghaus and S. Huber and U. Bauer and R. Kwitt},
  title   = {A Stable Multi-Scale Kernel for Topological Machine Learning.},
  journal = {Proc. 2015 IEEE Conf. Comp. Vision \& Pat. Rec. (CVPR '15)},
  year    = {2015},
  url     = {https://doi.org/10.1109/CVPR.2015.7299106}
}

@misc{royer2019atol,
  title         = {ATOL: Measure Vectorisation for Automatic Topologically-Oriented Learning},
  author        = {Martin Royer and Frédéric Chazal and Clément Levrard and Yuichi Ike and Yuhei Umeda},
  year          = {2019},
  eprint        = {1909.13472},
  archiveprefix = {arXiv},
  primaryclass  = {cs.CG}
}

@article{dtmdensity,
  author    = {Biau, Gérard and Chazal, Frédéric and Cohen-Steiner, David and Devroye, Luc and Rodríguez, Carlos},
  doi       = {10.1214/11-EJS606},
  fjournal  = {Electronic Journal of Statistics},
  journal   = {Electron. J. Statist.},
  pages     = {204--237},
  publisher = {The Institute of Mathematical Statistics and the Bernoulli Society},
  title     = {A weighted k-nearest neighbor density estimate for geometric inference},
  url       = {https://doi.org/10.1214/11-EJS606},
  volume    = {5},
  year      = {2011}
}

%-----------------------------
% B
%-----------------------------

@inproceedings{boissonnat_et_al:LIPIcs:2015:5098,
  author    = {Jean-Daniel Boissonnat and Karthik C. S. and S{\'e}bastien Tavenas},
  title     = {{Building Efficient and Compact Data Structures for Simplicial Complexes}},
  booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)},
  pages     = {642--656},
  series    = {Leibniz International Proceedings in Informatics (LIPIcs)},
  isbn      = {978-3-939897-83-5},
  issn      = {1868-8969},
  year      = {2015},
  volume    = {34},
  editor    = {Lars Arge and J{\'a}nos Pach},
  publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address   = {Dagstuhl, Germany},
  url       = {https://drops.dagstuhl.de/opus/volltexte/2015/5098/},
  urn       = {urn:nbn:de:0030-drops-50981},
  doi       = {10.4230/LIPIcs.SOCG.2015.642},
  annote    = {Keywords: Simplicial complex, Compact data structures, Automaton, NP-hard}
}

%-----------------------------
% C
%-----------------------------

@book{kaczynski2004computational,
  title     = {Computational Homology},
  author    = {Kaczynski, T. and Mischaikow, K. and Mrozek, M.},
  isbn      = {9780387408538},
  lccn      = {03061109},
  series    = {Applied Mathematical Sciences},
  url       = {https://books.google.fr/books?id=AShKtpi3GecC},
  year      = {2004},
  publisher = {Springer New York}
}

@book{DBLP:books/daglib/0025666,
  author    = {Herbert Edelsbrunner and
               John Harer},
  title     = {Computational Topology - an Introduction},
  publisher = {American Mathematical Society},
  year      = {2010},
  isbn      = {978-0-8218-4925-5},
  pages     = {I-XII, 1-241},
  ee        = {http://www.ams.org/bookstore-getitem/item=MBK-69},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {http://www.ams.org/bookstore-getitem/item=MBK-69}
}

@article{DBLP:journals/dcg/ZomorodianC05,
  author    = {Afra Zomorodian and
               Gunnar E. Carlsson},
  title     = {Computing Persistent Homology},
  journal   = {Discrete {\&} Computational Geometry},
  volume    = {33},
  number    = {2},
  year      = {2005},
  pages     = {249-274},
  ee        = {http://www.springerlink.com/index/10.1007/s00454-004-1146-y},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1007/s00454-004-1146-y}
}

@techreport{boissonnat:hal-00922572,
  hal_id      = {hal-00922572},
  url         = {https://hal.inria.fr/hal-00922572},
  title       = {Computing Persistent Homology with Various Coefficient Fields in a Single Pass},
  author      = {Boissonnat, Jean-Daniel and Maria, Cl{\'e}ment},
  keywords    = {Computational Topology, Persistent homology, Modular reconstruction},
  language    = {Anglais},
  affiliation = {GEOMETRICA - INRIA Sophia Antipolis / INRIA Saclay - Ile de France},
  pages       = {19},
  type        = {Rapport de recherche},
  institution = {INRIA},
  number      = {RR-8436},
  year        = {2013},
  month       = Dec,
  pdf         = {https://hal.inria.fr/hal-00922572v5/document}
}

@inproceedings{DBLP:conf/compgeom/DeyFW14,
  author    = {Tamal K. Dey and
               Fengtao Fan and
               Yusu Wang},
  title     = {Computing Topological Persistence for Simplicial Maps},
  booktitle = {Symposium on Computational Geometry},
  year      = {2014},
  pages     = {345},
  doi       = {10.1145/2582112.2582165},
  ee        = {http://doi.acm.org/10.1145/2582112.2582165},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1145/2582112.2582165}
}

%-----------------------------
% D
%-----------------------------

@inbook{incremental-delaunay,
  author = {Ángel Javier Alonso and Michael Kerber and Tung Lam and Michael Lesnick},
  title = {Delaunay Bifiltrations of Functions on Point Clouds},
  booktitle = {Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)},
  chapter = {},
  pages = {4872-4891},
  doi = {10.1137/1.9781611977912.173},
  URL = {https://epubs.siam.org/doi/abs/10.1137/1.9781611977912.173},
  eprint = {https://epubs.siam.org/doi/pdf/10.1137/1.9781611977912.173},
}

@inproceedings{dtmfiltrations,
  author    = {Anai, Hirokazu
               and Chazal, Fr{\'e}d{\'e}ric
               and Glisse, Marc
               and Ike, Yuichi
               and Inakoshi, Hiroya
               and Tinarrage, Rapha{\"e}l
               and Umeda, Yuhei},
  editor    = {Baas, Nils A.
               and Carlsson, Gunnar E.
               and Quick, Gereon
               and Szymik, Markus
               and Thaule, Marius},
  title     = {DTM-Based Filtrations},
  booktitle = {Topological Data Analysis},
  year      = {2020},
  publisher = {Springer International Publishing},
  address   = {Cham},
  pages     = {33--66},
  isbn      = {978-3-030-43408-3},
  doi       = {10.1007/978-3-030-43408-3_2},
  url       = {https://doi.org/10.4230/LIPIcs.SoCG.2019.58}
}

%-----------------------------
% E
%-----------------------------

@article{buchet16efficient,
  title   = {Efficient and Robust Persistent Homology for Measures},
  author  = {Micka\"{e}l Buchet and Fr\'{e}d\'{e}ric Chazal and Steve Y. Oudot and Donald Sheehy},
  journal = {Computational Geometry: Theory and Applications},
  volume  = {58},
  pages   = {70--96},
  doi     = {10.1016/j.comgeo.2016.07.001},
  year    = {2016},
  url     = {https://doi.org/10.1016/j.comgeo.2016.07.001}
}

@inbook{peikert2012topological,
  year      = {2012},
  isbn      = {978-3-642-23174-2},
  booktitle = {Topological Methods in Data Analysis and Visualization II},
  series    = {Mathematics and Visualization},
  editor    = {Peikert, Ronald and Hauser, Helwig and Carr, Hamish and Fuchs, Raphael},
  doi       = {10.1007/978-3-642-23175-9_7},
  title     = {Efficient Computation of Persistent Homology for Cubical Data},
  url       = {http://dx.doi.org/10.1007/978-3-642-23175-9_7},
  publisher = {Springer Berlin Heidelberg},
  author    = {Wagner, Hubert and Chen, Chao and Vucini, Erald},
  pages     = {91-106},
  language  = {English}
}

@article{blockers2012,
  author    = {Dominique Attali and
               Andr{\'e} Lieutier and
               David Salinas},
  title     = {Efficient Data Structure for Representing and Simplifying
               Simplicial complexes in High Dimensions},
  journal   = {Int. J. Comput. Geometry Appl.},
  volume    = {22},
  number    = {4},
  year      = {2012},
  pages     = {279-304},
  ee        = {http://dx.doi.org/10.1142/S0218195912600060},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1142/S0218195912600060}
}

@inproceedings{socg_blockers_2011,
  author    = {Attali, Dominique and Lieutier, Andr{\'e} and Salinas, David},
  title     = {Efficient data structure for representing and simplifying simplicial complexes in high dimensions},
  booktitle = {Proceedings of the 27th annual ACM symposium on Computational geometry},
  series    = {SoCG '11},
  year      = {2011},
  location  = {Paris, France},
  pages     = {501--509},
  numpages  = {9},
  keywords  = {clique complexes, data structure, edge contraction, flag complexes, high dimensions, homotopy equivalence, shape reconstruction, shape simplification, simplicial complexes, vietoris-rips complexes},
  url       = {https://doi.org/10.1145/1998196.1998277}
}

@book{Munkres-elementsalgtop1984,
  author    = {James R. Munkres},
  title     = {Elements of algebraic topology},
  publisher = {Addison-Wesley},
  year      = {1984},
  isbn      = {978-0-201-04586-4},
  pages     = {I-IX, 1-454},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{Cohen-Steiner2009,
  author    = {Cohen-Steiner, David and Edelsbrunner, Herbert and Harer, John},
  journal   = {Foundations of Computational Mathematics},
  number    = {1},
  pages     = {79--103},
  publisher = {Springer-Verlag},
  doi       = {10.1007/s10208-008-9027-z},
  title     = {{Extending persistence using Poincar{\'{e}} and Lefschetz duality}},
  volume    = {9},
  year      = {2009},
  url       = {https://doi.org/10.1007/s10208-008-9027-z}
}

%-----------------------------
% F
%-----------------------------

@inproceedings{Lindstrom,
  author    = {Lindstrom, Peter and Turk, Greg},
  title     = {Fast and Memory Efficient Polygonal Simplification},
  booktitle = {Proceedings of the Conference on Visualization '98},
  series    = {VIS '98},
  year      = {1998},
  isbn      = {1-58113-106-2},
  location  = {Research Triangle Park, North Carolina, USA},
  pages     = {279--286},
  numpages  = {8},
  publisher = {IEEE Computer Society Press},
  address   = {Los Alamitos, CA, USA},
  url       = {https://doi.org/10.1109/VISUAL.1998.745314}
}

@misc{arxivpers1d,
  doi       = {10.48550/ARXIV.2301.04745},
  url       = {https://arxiv.org/abs/2301.04745},
  author    = {Glisse, Marc},
  keywords  = {Computational Geometry (cs.CG), Algebraic Topology (math.AT), FOS: Computer and information sciences, FOS: Computer and information sciences, FOS: Mathematics, FOS: Mathematics},
  title     = {Fast persistent homology computation for functions on $\mathbb{R}$},
  publisher = {arXiv},
  year      = {2023},
  copyright = {arXiv.org perpetual, non-exclusive license}
}

@article{turner2014frechet,
  title     = {Fr{\'e}chet means for distributions of persistence diagrams},
  author    = {Turner, Katharine and Mileyko, Yuriy and Mukherjee, Sayan and Harer, John},
  journal   = {Discrete \& Computational Geometry},
  doi       = {10.1007/s00454-014-9604-7},
  volume    = {52},
  number    = {1},
  pages     = {44--70},
  year      = {2014},
  publisher = {Springer},
  url       = {https://doi.org/10.1007/s00454-014-9604-7}
}

%-----------------------------
% G
%-----------------------------

@article{dtmgeoinference2011,
  author   = {Chazal, Fr{\'e}d{\'e}ric
              and Cohen-Steiner, David
              and M{\'e}rigot, Quentin},
  title    = {Geometric Inference for Probability Measures},
  journal  = {Foundations of Computational Mathematics},
  year     = {2011},
  volume   = {11},
  number   = {6},
  pages    = {733-751},
  issn     = {1615-3383},
  doi      = {10.1007/s10208-011-9098-0},
  url      = {https://doi.org/10.1007/s10208-011-9098-0}
}

@article{DBLP:journals/algorithmica/EfratIK01,
  author    = {Alon Efrat and
               Alon Itai and
               Matthew J. Katz},
  title     = {Geometry Helps in Bottleneck Matching and Related Problems},
  journal   = {Algorithmica},
  volume    = {31},
  number    = {1},
  year      = {2001},
  pages     = {1-28},
  ee        = {http://dx.doi.org/10.1007/s00453-001-0016-8},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1007/s00453-001-0016-8}
}

@article{Kerber:2017:GHC:3047249.3064175,
  author     = {Kerber, Michael and Morozov, Dmitriy and Nigmetov, Arnur},
  title      = {Geometry Helps to Compare Persistence Diagrams},
  journal    = {J. Exp. Algorithmics},
  issue_date = {2017},
  volume     = {22},
  month      = sep,
  year       = {2017},
  issn       = {1084-6654},
  pages      = {1.4:1--1.4:20},
  articleno  = {1.4},
  numpages   = {20},
  url        = {http://doi.acm.org/10.1145/3064175},
  doi        = {10.1145/3064175},
  acmid      = {3064175},
  publisher  = {ACM},
  address    = {New York, NY, USA},
  keywords   = {Assignment problems, bipartite matching, k-d tree, persistent homology}
}

@inproceedings{Dey13,
  author    = {Dey, Tamal and Fan, Fengtao and Wang, Yusu},
  title     = {Graph Induced Complex on Point Data},
  booktitle = {Proceedings of the Twenty-ninth Annual Symposium on Computational Geometry},
  year      = {2013},
  pages     = {107--116},
  doi       = {10.1145/2462356.2462387},
  url       = {https://doi.org/10.1016/j.comgeo.2015.04.003}
}

@inproceedings{chubet_et_al:LIPIcs.SoCG.2023.64,
  author    = {Chubet, Oliver A. and Macnichol, Paul and Parikh, Parth and Sheehy, Donald R. and Sheth, Siddharth S.},
  title     = {{Greedy Permutations and Finite Voronoi Diagrams}},
  booktitle = {39th International Symposium on Computational Geometry (SoCG 2023)},
  pages     = {64:1--64:5},
  series    = {Leibniz International Proceedings in Informatics (LIPIcs)},
  isbn      = {978-3-95977-273-0},
  issn      = {1868-8969},
  year      = {2023},
  volume    = {258},
  editor    = {Chambers, Erin W. and Gudmundsson, Joachim},
  publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address   = {Dagstuhl, Germany},
  url       = {https://drops.dagstuhl.de/opus/volltexte/2023/17914},
  urn       = {urn:nbn:de:0030-drops-179146},
  doi       = {10.4230/LIPIcs.SoCG.2023.64},
  annote    = {Keywords: greedy permutation, Voronoi diagrams}
}

%-----------------------------
% H
%-----------------------------



%-----------------------------
% I
%-----------------------------

@article{Fasy_Kim_Lecci_Maria_tda,
  author  = {B. Fasy and J. Kim and F. Lecci and C. Maria},
  title   = {Introduction to the R package TDA.},
  journal = {arXiv:1411.1830.},
  year    = {2016},
  url     = {http://arxiv.org/abs/1411.1830}
}

%-----------------------------
% J
%-----------------------------



%-----------------------------
% K
%-----------------------------



%-----------------------------
% L
%-----------------------------

@inproceedings{10.5555/3327546.3327645,
  author    = {Lacombe, Th\'{e}o and Cuturi, Marco and Oudot, Steve},
  title     = {Large Scale Computation of Means and Clusters for Persistence Diagrams Using Optimal Transport},
  year      = {2018},
  publisher = {Curran Associates Inc.},
  address   = {Red Hook, NY, USA},
  booktitle = {Proceedings of the 32nd International Conference on Neural Information Processing Systems},
  pages     = {9792–9802},
  numpages  = {11},
  location  = {Montr\'{e}al, Canada},
  series    = {NIPS’18},
  url       = {https://proceedings.neurips.cc/paper/2018/hash/b58f7d184743106a8a66028b7a28937c-Abstract.html}
}

@article{sheehy13linear,
  title   = {Linear-Size Approximations to the {V}ietoris-{R}ips Filtration},
  author  = {Donald R. Sheehy},
  journal = {Discrete \& Computational Geometry},
  volume  = {49},
  number  = {4},
  pages   = {778--796},
  doi     = {10.1007/s00454-013-9513-1},
  year    = {2013},
  url     = {https://doi.org/10.1007/s00454-013-9513-1}
}

%-----------------------------
% M
%-----------------------------

@article{tangentialcomplex2014,
  author   = {Boissonnat, Jean-Daniel and Ghosh, Arijit},
  title    = {Manifold Reconstruction Using Tangential Delaunay Complexes},
  journal  = {Discrete {\&} Computational Geometry},
  year     = {2014},
  volume   = {51},
  number   = {1},
  pages    = {221--267},
  issn     = {1432-0444},
  doi      = {10.1007/s00454-013-9557-2},
  url      = {http://dx.doi.org/10.1007/s00454-013-9557-2}
}

@phdthesis{KachanovichThesis,
  title       = {{Meshing submanifolds using Coxeter triangulations}},
  author      = {Kachanovich, Siargey},
  url         = {https://hal.inria.fr/tel-02419148},
  number      = {2019AZUR4072},
  school      = {{COMUE Universit{\'e} C{\^o}te d'Azur (2015 - 2019)}},
  year        = {2019},
  month       = Oct,
  keywords    = {Mesh generation ; Coxeter triangulations ; Simplex quality ; Triangulations of the Euclidean space ; Freudenthal-Kuhn triangulations ; G{\'e}n{\'e}ration de maillages ; Triangulations de Coxeter ; Qualit{\'e} des simplexes ; Triangulations de l'espace euclidien ; Triangulations de Freudenthal-Kuhn},
  type        = {Theses},
  pdf         = {https://hal.inria.fr/tel-02419148v2/file/2019AZUR4072.pdf},
  hal_id      = {tel-02419148},
  hal_version = {v2}
}

%-----------------------------
% N
%-----------------------------



%-----------------------------
% O
%-----------------------------



%-----------------------------
% P
%-----------------------------

@article{tomato2013,
  author     = {Chazal, Fr\'{e}d\'{e}ric and Guibas, Leonidas J. and Oudot, Steve Y. and Skraba, Primoz},
  title      = {Persistence-Based Clustering in Riemannian Manifolds},
  year       = {2013},
  issue_date = {November 2013},
  publisher  = {Association for Computing Machinery},
  address    = {New York, NY, USA},
  volume     = {60},
  number     = {6},
  issn       = {0004-5411},
  url        = {https://doi.org/10.1145/2535927},
  doi        = {10.1145/2535927},
  journal    = {J. ACM},
  month      = nov,
  articleno  = {Article 41},
  numpages   = {38},
  keywords   = {mode seeking, Unsupervised learning, computational topology, clustering, Morse theory, topological persistence}
}

@article{Persistence_Images_2017,
  author  = {H. Adams and S. Chepushtanova and T. Emerson and E. Hanson and M. Kirby and F. Motta and R. Neville and C. Peterson and P. Shipman and L. Ziegelmeier},
  title   = {Persistence Images: A Stable Vector Representation of Persistent Homology.},
  journal = {Journal of Machine Learning Research},
  year    = {2017},
  url     = {http://jmlr.org/papers/v18/16-337.html}
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@article{Kusano_Fukumizu_Hiraoka_PWGK,
  author  = {G. Kusano and K. Fukumizu and Y. Hiraoka},
  title   = {Persistence weighted Gaussian kernel for topological data analysis.},
  journal = {ICML'16 Proceedings of the 33rd International Conference on International Conference on Machine Learning - Volume 48},
  year    = {2016},
  url     = {http://proceedings.mlr.press/v48/kusano16.html}
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@article{DBLP:journals/dcg/SilvaMV11,
  author    = {Vin de Silva and
               Dmitriy Morozov and
               Mikael Vejdemo-Johansson},
  title     = {Persistent Cohomology and Circular Coordinates},
  journal   = {Discrete {\&} Computational Geometry},
  volume    = {45},
  number    = {4},
  year      = {2011},
  pages     = {737-759},
  ee        = {http://dx.doi.org/10.1007/s00454-011-9344-x},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  url       = {https://doi.org/10.1007/s00454-011-9344-x}
}

@article{Ferri_Frosini_comparision_sheme_2,
  author  = {M. Ferri and P. Frosini and A. Lovato and C. Zambelli},
  title   = {Point selection: A new comparison scheme for size functions (With an application to monogram recognition).},
  journal = {Proceedings Third Asian Conference on Computer Vision, Lecture Notes in Computer Science 1351.},
  year    = {1998},
  url     = {https://doi.org/10.1007/3-540-63930-6\_138}
}

%-----------------------------
% Q
%-----------------------------



%-----------------------------
% R
%-----------------------------



%-----------------------------
% S
%-----------------------------

@article{Ferri_Frosini_comparision_sheme_1,
  author  = {P. Donatini and P. Frosini and A. Lovato},
  title   = {Size functions for signature recognition.},
  journal = {Proceedings of SPIE, Vision Geometry VII, vol. 3454},
  year    = {1998},
  url     = {https://doi.org/10.1117/12.323253}
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@inproceedings{pmlr-v70-carriere17a,
  title     = {Sliced {W}asserstein Kernel for Persistence Diagrams},
  author    = {Mathieu Carri{\`e}re and Marco Cuturi and Steve Oudot},
  booktitle = {Proceedings of the 34th International Conference on Machine Learning},
  pages     = {664--673},
  year      = {2017},
  editor    = {Doina Precup and Yee Whye Teh},
  volume    = {70},
  series    = {Proceedings of Machine Learning Research},
  address   = {International Convention Centre, Sydney, Australia},
  month     = {06--11 Aug},
  publisher = {PMLR},
  url       = {http://proceedings.mlr.press/v70/carriere17a.html}
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@article{Carriere_Oudot_Ovsjanikov_top_signatures_3d,
  author  = {M. Carri\`ere and S. Oudot and M. Ovsjanikov},
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  author    = {Carri{\`{e}}re, Mathieu and Michel, Bertrand and Oudot, Steve},
  journal   = {Journal of Machine Learning Research},
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  publisher = {JMLR.org},
  title     = {{Statistical analysis and parameter selection for Mapper}},
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@article{bubenik_landscapes_2015,
  author  = {P. Bubenik},
  title   = {Statistical topological data analysis using persistence landscapes.},
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@article{Carriere16,
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  number    = {6},
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  title     = {{Structure and stability of the one-dimensional Mapper}},
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@misc{icml2014,
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  keywords  = {Algebraic Topology (math.AT), Computational Geometry (cs.CG), Applications (stat.AP), FOS: Mathematics, FOS: Mathematics, FOS: Computer and information sciences, FOS: Computer and information sciences},
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@inproceedings{Garland,
  author    = {Garland, Michael and Heckbert, Paul S.},
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}

@misc{edgecollapsearxiv,
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  title  = {{Swap, Shift and Trim to Edge Collapse a Filtration}},
  url    = {https://arxiv.org/abs/2203.07022}
}

%-----------------------------
% T
%-----------------------------

@inproceedings{DBLP:conf/esa/BoissonnatDM13,
  author    = {Jean-Daniel Boissonnat and
               Tamal K. Dey and
               Cl{\'e}ment Maria},
  title     = {The Compressed Annotation Matrix: An Efficient Data Structure for Computing Persistent Cohomology},
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  pages     = {1-22},
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@article{de2004topological,
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  pages   = {157-166},
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}

%-----------------------------
% U
%-----------------------------



%-----------------------------
% V
%-----------------------------

@inproceedings{vineyards,
  author    = {David Cohen-Steiner and
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@inproceedings{cavanna15visualizing,
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  doi       = {10.4230/LIPIcs.SOCG.2015.23},
  url       = {https://doi.org/10.4230/LIPIcs.SOCG.2015.23}
}

%-----------------------------
% W
%-----------------------------



%-----------------------------
% X
%-----------------------------



%-----------------------------
% Y
%-----------------------------



%-----------------------------
% Z
%-----------------------------

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  doi       = {10.1137/1.9781611973730.14}
}

%-----------------------------
% UNUSED
%-----------------------------

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@misc{buddha_stanford_scan,
  author = {},
  title  = {The Stanford 3D Scanning Repository},
  note   = {http://graphics.stanford.edu/data/3Dscanrep/}
}

@article{DBLP:journals/dcg/EdelsbrunnerLZ02,
  author    = {Herbert Edelsbrunner and
               David Letscher and
               Afra Zomorodian},
  title     = {Topological Persistence and Simplification},
  journal   = {Discrete Comput. Geom.},
  volume    = {28},
  number    = {4},
  year      = {2002},
  pages     = {511-533},
  ee        = {http://dx.doi.org/10.1007/s00454-002-2885-2},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@article{martin2010top,
  title    = {Topology of cyclo-octane energy landscape.},
  author   = {Martin, S. and Thompson, A. and Coutsias, E.A. and Watson, J.},
  journal  = {J Chem Phys},
  volume   = {132},
  number   = {23},
  pages    = {234115},
  year     = {2010},
  abstract = {Understanding energy landscapes is a major challenge in chemistry and biology. Although a wide variety of methods have been invented and applied to this problem, very little is understood about the actual mathematical structures underlying such landscapes. Perhaps the most general assumption is the idea that energy landscapes are low-dimensional manifolds embedded in high-dimensional Euclidean space. While this is a very mild assumption, we have discovered an example of an energy landscape which is nonmanifold, demonstrating previously unknown mathematical complexity. The example occurs in the energy landscape of cyclo-octane, which was found to have the structure of a reducible algebraic variety, composed of the union of a sphere and a Klein bottle, intersecting in two rings.}
}

@inproceedings{CO08,
  author    = {F. Chazal and S. Oudot},
  title     = {Towards persistence-based reconstruction in Euclidean spaces},
  booktitle = {Proc. 24th. Annu. Sympos. Comput. Geom.},
  year      = {2008},
  pages     = {231-241}
}

@article{rips2012,
  hal_id      = {hal-00785072},
  url         = {https://hal.archives-ouvertes.fr/hal-00785072},
  title       = {{Vietoris-Rips Complexes also Provide Topologically Correct Reconstructions of Sampled Shapes}},
  author      = {Attali, Dominique and Lieutier, Andr{\'e} and Salinas, David},
  keywords    = {Shape reconstruction \sep Rips complexes \sep clique complexes \sep \v Cech complexes ; homotopy equivalence ; collapses ; high dimensions},
  language    = {Anglais},
  affiliation = {Grenoble Images Parole Signal Automatique - GIPSA-lab , Laboratoire Jean Kuntzmann - LJK},
  pages       = {448-465},
  journal     = {Computational Geometry},
  volume      = {46},
  number      = {4, special issue },
  audience    = {internationale },
  doi         = {10.1016/j.comgeo.2012.02.009 },
  year        = {2012},
  pdf         = {http://hal.archives-ouvertes.fr/hal-00785072/PDF/2012-cgta-Rips.pdf}
}

@inproceedings{DBLP:conf/compgeom/CarlssonSM09,
  author    = {Gunnar E. Carlsson and
               Vin de Silva and
               Dmitriy Morozov},
  title     = {Zigzag persistent homology and real-valued functions},
  booktitle = {Symposium on Computational Geometry},
  year      = {2009},
  pages     = {247-256},
  ee        = {http://doi.acm.org/10.1145/1542362.1542408},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@inproceedings{DBLP:conf/compgeom/MilosavljevicMS11,
  author    = {Nikola Milosavljevic and
               Dmitriy Morozov and
               Primoz Skraba},
  title     = {Zigzag persistent homology in matrix multiplication time},
  booktitle = {Symposium on Comp. Geom.},
  year      = {2011},
  ee        = {http://doi.acm.org/10.1145/1998196.1998229},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}
