Mathieu Carrière
Mathieu Carrière
Inria Sophia Antipolis
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Sliced Wasserstein Kernel for Persistence Diagrams
M Carrière, M Cuturi, S Oudot
Proceedings of the 34th International Conference on Machine Learning, 664-673, 2017
Perslay: A neural network layer for persistence diagrams and new graph topological signatures
M Carrière, F Chazal, Y Ike, T Lacombe, M Royer, Y Umeda
International Conference on Artificial Intelligence and Statistics, 2786-2796, 2020
Stable Topological Signatures for Points on 3D Shapes
M Carrière, S Oudot, M Ovsjanikov
Computer Graphics Forum 34 (5), 1-12, 2015
Structure and Stability of the One-dimensional Mapper
M Carrière, S Oudot
Foundations of Computational Mathematics 18 (6), 1-64, 2017
Statistical Analysis and Parameter Selection for Mapper
M Carrière, B Michel, S Oudot
Journal of Machine Learning Research 19 (1), 478-516, 2018
Optimizing persistent homology based functions
M Carriere, F Chazal, M Glisse, Y Ike, H Kannan, Y Umeda
International conference on machine learning, 1294-1303, 2021
Multiparameter persistence image for topological machine learning
M Carriere, A Blumberg
Advances in Neural Information Processing Systems 33, 22432-22444, 2020
On the Metric Distortion of Embedding Persistence Diagrams into separable Hilbert spaces
M Carrière, U Bauer
Proceedings of the International Symposium on Computational Geometry, 2018
Local Equivalence and Intrinsic Metrics between Reeb Graphs
M Carrière, S Oudot
Proceedings of the International Symposium on Computational Geometry 77, 2017
Persistent homology based characterization of the breast cancer immune microenvironment: a feasibility study
A Aukerman, M Carrière, C Chen, K Gardner, R Rabadán, R Vanguri
Journal of Computational Geometry 12 (2), 183-206, 2022
Topological Data Analysis of Single-cell Hi-C Contact Maps
M Carrière, R Rabadan
Abel Symposium, 2018
Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs
T Lacombe, Y Ike, M Carriere, F Chazal, M Glisse, Y Umeda
arXiv preprint arXiv:2105.04404, 2021
Two-Tier Mapper, an unbiased topology-based clustering method for enhanced global gene expression analysis
R Jeitziner, M Carrière, J Rougemont, S Oudot, K Hess, C Brisken
Bioinformatics, 2019
MREC: a fast and versatile framework for aligning and matching point clouds with applications to single cell molecular data
AJ Blumberg, M Carriere, MA Mandell, R Rabadan, S Villar
arXiv preprint arXiv:2001.01666, 2020
RipsNet: a general architecture for fast and robust estimation of the persistent homology of point clouds
T de Surrel, F Hensel, M Carrière, T Lacombe, Y Ike, H Kurihara, M Glisse, ...
Topological, Algebraic and Geometric Learning Workshops 2022, 96-106, 2022
Local Signatures using Persistence Diagrams
M Carrière, S Oudot, M Ovsjanikov
Statistical analysis of Mapper for stochastic and multivariate filters
M Carrière, B Michel
Journal of Applied and Computational Topology 6 (3), 331-369, 2022
Fast, Stable and Efficient Approximation of Multi-parameter Persistence Modules with MMA
D Loiseaux, M Carriere, A Blumberg
Topological data analysis identifies emerging adaptive mutations in SARS-CoV-2
M Bleher, L Hahn, M Neumann, JA Patino-Galindo, M Carriere, U Bauer, ...
arXiv preprint arXiv:2106.07292, 2021
Stable vectorization of multiparameter persistent homology using signed barcodes as measures
D Loiseaux, L Scoccola, M Carrière, MB Botnan, S Oudot
Advances in Neural Information Processing Systems 36, 2024
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