Mathieu Carrière

1. PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures
   2019/04/20 by Mathieu Carrière, Carrière, Mathieu, Frédéric Chazal +9 · 19 citations
   Computer Science · Medicine · #Topological and Geometric Data Analysis #Advanced Neuroimaging Techniques and Applications
2. RipsNet: a general architecture for fast and robust estimation of the persistent homology of point clouds
   2022/02/03 by Thibault de Surrel, de Surrel, Thibault, Felix Hensel +13 · 1 voice · 5 citations
   Computer Science · #Advanced Vision and Imaging #Computational Geometry (cs.CG) #Digital Image Processing Techniques #FOS: Computer and information sciences #Machine Learning (cs.LG) #Topological and Geometric Data Analysis #cs.CG #cs.LG
3. Sliced Wasserstein Kernel for Persistence Diagrams
   2017/06/11 by Mathieu Carrière, Carrière, Mathieu, Marco Cuturi +3 · 12 citations
   Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Algebraic Topology (math.AT) #Cell Image Analysis Techniques #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Morphological variations and asymmetry #Topological and Geometric Data Analysis
4. Statistical Analysis and Parameter Selection for Mapper
   2017/06/01 by Mathieu Carrière, Carrière, Mathieu, Bertrand Michel +3 · 5 citations
   Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Genomics and Chromatin Dynamics #Homotopy and Cohomology in Algebraic Topology #Methodology (stat.ME) #Topological and Geometric Data Analysis
5. Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
   2023/06/06 by David Loiseaux, Luis Scoccola, Loiseaux, David +7 · 4 citations
   Computer Science · #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Topological and Geometric Data Analysis
6. A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions
   2023/06/19 by David Loiseaux, Loiseaux, David, Mathieu Carrière +3 · 4 citations
   Computer Science · #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Topological and Geometric Data Analysis
7. A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis
   2021/09/01 by Jacob Leygonie, Mathieu Carrière, Leygonie, Jacob +5 · 2 citations
   Computer Science · #Topological and Geometric Data Analysis
8. Multi-parameter Module Approximation: an efficient and interpretable invariant for multi-parameter persistence modules with guarantees
   2022/06/04 by David Loiseaux, Mathieu Carrière, Loiseaux, David +3 · 1 citation
   Computer Science · Biochemistry, Genetics and Molecular Biology · Immunology and Microbiology · #Topological and Geometric Data Analysis #Metabolomics and Mass Spectrometry Studies #Immune cells in cancer
9. Subsampling, aligning, and averaging to find circular coordinates in recurrent time series
   2024/12/24 by Andrew J. Blumberg, Blumberg, Andrew J., Mathieu Carrière +5 · 1 citation
   Mathematics · Computer Science · #Morphological variations and asymmetry #Topological and Geometric Data Analysis