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Geometric Inference for Measures based on Distance Functions

Frédéric Chazal , David Cohen-Steiner , Quentin Mérigot
Foundations of Computational Mathematics, 2011, 11 (6), pp.733-751. ⟨10.1007/s10208-011-9098-0⟩
Article dans une revue istex inria-00383685v2
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Persistence-based Pooling for Shape Pose Recognition

Thomas Bonis , Maks Ovsjanikov , Steve Oudot , Frédéric Chazal
6th International Workshop on Computational Topology in Image Context (CTIC 2016), Jun 2016, Marseille, France
Communication dans un congrès hal-01301937v2

Persistence-Based Clustering in Riemannian Manifolds

Frédéric Chazal , Leonidas J. Guibas , Steve Oudot , Primoz Skraba
ACM Annual Symposium on Computational Geometry, Jun 2011, Paris, France. pp.97-106, ⟨10.1145/1998196.1998212⟩
Communication dans un congrès hal-01094872v1
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Statistical properties of general Markov dynamical sources: applications to information theory

Frédéric Chazal , Véronique Maume-Deschamps
Discrete Mathematics and Theoretical Computer Science, 2004, Vol. 6 no. 2 (2), pp.283-314. ⟨10.46298/dmtcs.329⟩
Article dans une revue hal-00959009v1
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Efficient and Robust Persistent Homology for Measures

Mickaël Buchet , Frédéric Chazal , Steve Oudot , Donald Sheehy
Computational Geometry, 2016, 58, ⟨10.1016/j.comgeo.2016.07.001⟩
Article dans une revue hal-01342385v1
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Topological Data Analysis

Jean-Daniel Boissonnat , Frédéric Chazal , Bertrand Michel
Novel Mathematics Inspired by Industrial Challenges, 38, Springer International Publishing, pp.247-269, 2022, Mathematics in Industry, ⟨10.1007/978-3-030-96173-2_9⟩
Chapitre d'ouvrage hal-03813929v1
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On the Stability of Functional Maps and Shape Difference Operators

Ruqi Huang , Frédéric Chazal , Maks Ovsjanikov
Computer Graphics Forum, 2017, pp.1 - 12. ⟨10.1111/cgf.13238⟩
Article dans une revue hal-01668186v1

Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space

Quentin Merigot , Alex Delalande , Frédéric Chazal
AISTATS 2020 - 23rd International Conference on Artificial Intelligence and Statistics, Aug 2020, Palermo /Online, Italy. pp.3186-3196
Communication dans un congrès hal-02315998v1
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Rates of convergence for robust geometric inference

Frédéric Chazal , Pascal Massart , Bertrand Michel
[Research Report] INRIA. 2015
Rapport hal-01232197v1

Subsampling Methods for Persistent Homology

Frédéric Chazal , Brittany Terese Fasy , Fabrizio Lecci , Bertrand Michel , Alessandro Rinaldo , et al.
International Conference on Machine Learning (ICML 2015), Jul 2015, Lille, France
Communication dans un congrès hal-01073073v1
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Deconvolution for the Wasserstein Metric and Geometric Inference

Claire Caillerie , Frédéric Chazal , Jérôme Dedecker , Bertrand Michel
Electronic Journal of Statistics , 2011, 5, pp.1394-1423. ⟨10.1214/11-EJS646⟩
Article dans une revue inria-00607806v1
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Stability of Curvature Measures

Frédéric Chazal , David Cohen-Steiner , André Lieutier , Boris Thibert
[Research Report] RR-6756, INRIA. 2008, pp.34
Rapport inria-00344903v1
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Supervised Contamination Detection, with Flow Cytometry Application

Solenne Gaucher , Gilles Blanchard , Frédéric Chazal
2024
Pré-publication, Document de travail hal-04535142v1

Persistence-Based Clustering in Riemannian Manifolds

Frédéric Chazal , Leonidas J. Guibas , Steve Y. Oudot , Primoz Skraba
Journal of the ACM (JACM), 2013, 60 (6), pp.38
Article dans une revue hal-00923563v1

Robust Stride Detector from Ankle-Mounted Inertial Sensors for Pedestrian Navigation and Activity Recognition with Machine Learning Approaches

Bertrand Beaufils , Frédéric Chazal , Marc Grelet , Bertrand Michel
Sensors, 2019, 19 (20), pp.4491. ⟨10.3390/s19204491⟩
Article dans une revue hal-02365094v1
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Topological signatures of periodic-like signals

Wojciech Reise , Bertrand Michel , Frédéric Chazal
2023
Pré-publication, Document de travail hal-04140929v1
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RipsNet: a general architecture for fast and robust estimation of the persistent homology of point clouds

Felix Hensel , Marc Glisse , Frédéric Chazal , Thibault de Surrel , Mathieu Carriere , et al.
Proceedings of Machine Learning Research, 2022, Proceedings of Topological, Algebraic, and Geometric Learning Workshops 2022, 196, pp.96-106
Article dans une revue hal-03867083v1

The density of expected persistence diagrams and its kernel based estimation

Frédéric Chazal , Vincent Divol
Journal of Computational Geometry, 2019, 10 (2), ⟨10.20382/jocg.v10i2a7⟩
Article dans une revue hal-04308723v1

Choosing the parameter of the Fermat distance: navigating geometry and noise

Frédéric Chazal , Laure Ferraris , Pablo Groisman , Matthieu Jonckheere , Frédéric Pascal , et al.
2023
Pré-publication, Document de travail hal-04317396v1
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Proximity of persistence modules and their diagrams

Frédéric Chazal , David Cohen-Steiner , Marc Glisse , Leonidas Guibas , Steve Y. Oudot
SoCG 2009 - 25th Annual Symposium on Computational Geometry, Jun 2009, Aarhus, Denmark. pp.10, ⟨10.1145/1542362.1542407⟩
Communication dans un congrès hal-02292996v1

Persistence Stability for Geometric complexes

Frédéric Chazal , Vin de Silva , Steve Y. Oudot
Geometriae Dedicata, 2014, 173, pp.193-214. ⟨10.1007/s10711-013-9937-z⟩
Article dans une revue hal-00923560v1

Exploring phenotypic space for mining genotypes and alleles in maize

Jonas Rodriguez , Emilie Millet , Claude Welcker , Llorenç Cabrera-Bosquet , Boris Parent , et al.
Plant Biology Europe 2023, Jul 2023, Marseille, France
Communication dans un congrès hal-04157374v1
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Efficient and Robust Persistent Homology for Measures

Mickaël Buchet , Frédéric Chazal , Steve Yann Oudot , Donald R. Sheehy
ACM-SIAM Symposium on Discrete Algorithms, Jan 2015, San Diego, United States
Communication dans un congrès hal-01074566v1
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Robust Topological Inference: Distance To a Measure and Kernel Distance

Frédéric Chazal , Brittany Fasy , Fabrizio Lecci , Bertrand Michel , Alessandro Rinaldo , et al.
Journal of Machine Learning Research, 2018, 18 (159), pp.40
Article dans une revue hal-01232217v1
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Robust pedestrian trajectory reconstruction from inertial sensor

Bertrand Beaufils , Frédéric Chazal , Marc Grelet , Bertrand Michel
IPIN 2019 - 10th International Conference on Indoor Positioning and Indoor Navigation, Sep 2019, Pisa, Italy
Communication dans un congrès hal-02271580v1
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Computing and Processing Correspondences with Functional Maps

Maks Ovsjanikov , Etienne Corman , Michael Bronstein , Emanuele Rodola , Mirela Ben-Chen , et al.
ACM SIGGRAPH 2017 Courses, Jul 2017, Los Angeles, United States. pp.1-62
Communication dans un congrès hal-01664767v1
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A Weighted k-Nearest Neighbor Density Estimate for Geometric Inference

Gérard Biau , Frédéric Chazal , David Cohen-Steiner , Luc Devroye , Carlos Rodriguez
2011
Pré-publication, Document de travail inria-00560623v2
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Persistence-based Structural Recognition

Chunyuan Li , Maks Ovsjanikov , Frederic Chazal
IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2014, Jun 2014, Colombus, Ohio, United States. pp.1995-2002
Communication dans un congrès hal-01073075v1

A Sampling Theory for Compact Sets in Euclidean Space

Frédéric Chazal , David Cohen-Steiner , André Lieutier
Discrete and Computational Geometry, 2009, 41 (3), pp.461-479. ⟨10.1007/s00454-009-9144-8⟩
Article dans une revue hal-00864493v1
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Gromov-Hausdorff Approximation of Metric Spaces with Linear Structure

Frédéric Chazal , Jian Sun
2013
Pré-publication, Document de travail hal-00820599v1