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Persistent homology based characterization of the breast cancer immune microenvironment: a feasibility study

Andrew Aukerman , Mathieu Carriere , Chao Chen , Kevin Gardner , Raúl Rabadán et al.
Journal of Computational Geometry, 2022, Special Issue of Selected Papers from SoCG 2020, 12 (2), pp.183-206
Journal articles hal-03912324v1
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Topological Data Analysis and its usefulness for precision medicine studies

Raquel Iniesta , Ewan Carr , Mathieu Carriere , Naya Yerolemou , Bertrand Michel et al.
Sort: Statistics and Operations Research Transactions, 2022, ⟨10.2436/20.8080.02.120⟩
Journal articles hal-03912322v1
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Structure and Stability of the 1-Dimensional Mapper

Mathieu Carriere , Steve Y. Oudot
Foundations of Computational Mathematics, 2017, pp.1-64. ⟨10.1007/s10208-017-9370-z⟩
Journal articles hal-01633101v2
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Multiparameter Persistence Images for Topological Machine Learning

Mathieu Carriere , Andrew J Blumberg
NeurIPS 2020 - 34th Conference on Neural Information Processing Systems, Dec 2020, Vancouver / Virtuel, Canada
Conference papers hal-03112442v1

Statistical analysis of Mapper for stochastic and multivariate filters

Mathieu Carriere , Bertrand Michel
Journal of Applied and Computational Topology, 2022, 6 (3), pp.331-369. ⟨10.1007/s41468-022-00090-w⟩
Journal articles hal-03912325v1

Identifying homogeneous subgroups of patients and important features: a topological machine learning approach

Ewan Carr , Mathieu Carriere , Bertrand Michel , Frédéric Chazal , Raquel Iniesta et al.
BMC Bioinformatics, 2021, 22, pp.449. ⟨10.1186/s12859-021-04360-9⟩
Journal articles hal-03368489v1
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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
Journal articles hal-03867083v1
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Stable topological signatures for points on 3D shapes

Mathieu Carriere , Steve Oudot , Maks Ovsjanikov
Symposium on Geometry Processing, Jul 2015, Graz, Austria
Conference papers hal-01203716v2
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Local Equivalence and Intrinsic Metrics Between Reeb Graphs

Mathieu Carriere , Steve Y. Oudot
International Symposium on Computational Geometry, Jul 2017, Brisbane, Australia
Conference papers hal-01633109v1
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A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis

Jacob Leygonie , Mathieu Carriere , Théo Lacombe , Steve Oudot
2021
Preprints, Working Papers, ... hal-03330940v2
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Efficient Approximation of Multiparameter Persistence Modules

David Loiseaux , Mathieu Carriere , Andrew Blumberg
2022
Preprints, Working Papers, ... hal-03689199v1
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Statistical analysis and parameter selection for Mapper

Mathieu Carriere , Bertrand Michel , Steve Y. Oudot
Journal of Machine Learning Research, 2018
Journal articles hal-01633106v2
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Optimizing persistent homology based functions

Mathieu Carriere , Frédéric Chazal , Marc Glisse , Yuichi Ike , Hariprasad Kannan et al.
ICML 2021 - 38th International Conference on Machine Learning, Jul 2021, Virtual conference, United States. pp.1294-1303
Conference papers hal-02969305v2
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A General Neural Network Architecture for Persistence Diagrams and Graph Classification

Mathieu Carriere , Frédéric Chazal , Yuichi Ike , Théo Lacombe , Martin Royer et al.
2019
Preprints, Working Papers, ... hal-02105788v1

Structure and Stability of the 1-Dimensional Mapper

Mathieu Carriere , Steve Oudot
International Symposium on Computational Geometry, Jun 2016, Boston, United States
Conference papers hal-01247511v1
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Local Signatures using Persistence Diagrams

Mathieu Carriere , Steve Oudot , Maks Ovsjanikov
2015
Preprints, Working Papers, ... hal-01159297v2
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Sliced Wasserstein Kernel for Persistence Diagrams

Mathieu Carriere , Marco Cuturi , Steve Y. Oudot
International Conference on Machine Learning, Aug 2017, Sydney, Australia
Conference papers hal-01633105v1
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On Metric and Statistical Properties of Topological Descriptors for geometric Data

Mathieu Carriere
Computational Geometry [cs.CG]. Université Paris-Saclay, 2017. English. ⟨NNT : 2017SACLS433⟩
Theses tel-01659347v2
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Topology identifies emerging adaptive mutations in SARS-CoV-2

Michael Bleher , Lukas Hahn , Juanángel Patiño-Galindo , Mathieu Carriere , Ulrich Bauer et al.
2021
Preprints, Working Papers, ... hal-03368477v1
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Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs

Théo Lacombe , Yuichi Ike , Mathieu Carriere , Frédéric Chazal , Marc Glisse et al.
IJCAI 2021 - 30th International Joint Conference on Artificial Intelligence, Aug 2021, Montréal, Canada. ⟨10.24963/ijcai.2021/367⟩
Conference papers hal-03213188v1

PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures

Mathieu Carriere , Frédéric Chazal , Yuichi Ike , Théo Lacombe , Martin Royer et al.
International Conference on Artificial Intelligence and Statistics, Aug 2020, Virtual, Italy
Conference papers hal-03112050v1

RipsNet: a general architecture for fast and robust estimation of the persistent homology of point clouds

Thibault de Surrel , Felix Hensel , Mathieu Carriere , Théo Lacombe , Yuichi Ike et al.
2022
Preprints, Working Papers, ... hal-03560450v1