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Oudot, Steve

  1. The structure and stability of persistence modules
    2012/07/16 by Frédéric Chazal, Chazal, Frederic, Vin de Silva +5 · 19 citations
    Computer Science · Mathematics · Physics and Astronomy · #Algebraic Topology (math.AT) #Category Theory (math.CT) #Complex Network Analysis Techniques #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
  2. Persistence stability for geometric complexes
    2012/07/17 by Chazal, Frederic, de Silva, Vin, Oudot, Steve · 15 citations
    #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  3. Sliced Wasserstein Kernel for Persistence Diagrams
    2017/06/11 by Mathieu Carrière, Marco Cuturi, Carrière, Mathieu +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. Intrinsic Interleaving Distance for Merge Trees
    2019/07/31 by Gasparovic, Ellen, Munch, Elizabeth, Oudot, Steve +3 · 6 citations
    #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  5. Towards Persistence-Based Reconstruction in Euclidean Spaces
    2007/12/17 by Frédéric Chazal, Steve Oudot, Chazal, Frédéric +1 · 4 citations
    Computer Science · #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #FOS: Computer and information sciences #FOS: Mathematics #Topological and Geometric Data Analysis
  6. 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
  7. Large Scale computation of Means and Clusters for Persistence Diagrams using Optimal Transport
    2018/05/22 by Théo Lacombe, Marco Cuturi, Lacombe, Théo +3 · 5 citations
    Computer Science · Mathematics · #Advanced Graph Neural Networks #Computational Geometry (cs.CG) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Topological and Geometric Data Analysis
  8. Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions
    2021/07/14 by Botnan, Magnus Bakke, Oppermann, Steffen, Oudot, Steve · 4 citations
    #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Representation Theory (math.RT)
  9. On rectangle-decomposable 2-parameter persistence modules
    2020/02/20 by Botnan, Magnus Bakke, Vadim Lebovici, Lebovici, Vadim +2 · 3 citations
    Computer Science · Mathematics · #Advanced Graph Neural Networks #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
  10. Exact computation of the matching distance on 2-parameter persistence modules
    2018/12/21 by Kerber, Michael, Lesnick, Michael, Oudot, Steve · 3 citations
    #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  11. 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
  12. Local Equivalence and Intrinsic Metrics between Reeb Graphs
    2017/03/08 by Carrière, Mathieu, Oudot, Steve · 2 citations
    #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  13. 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
  14. A Framework for Differential Calculus on Persistence Barcodes
    2019/10/02 by Leygonie, Jacob, Oudot, Steve, Tillmann, Ulrike · 2 citations
    #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Mathematics #Optimization and Control (math.OC)
  15. Decomposition of exact pfd persistence bimodules
    2016/05/31 by Cochoy, Jérémy, Oudot, Steve · 1 citation
    #Algebraic Topology (math.AT) #FOS: Mathematics #Representation Theory (math.RT)
  16. Local characterization of block-decomposability for multiparameter persistence modules
    2024/02/26 by Vadim Lebovici, Jan-Paul Lerch, Lebovici, Vadim +3 · 2 citations
    Computer Science · Physics and Astronomy · #Algebraic Topology (math.AT) #Complex Network Analysis Techniques #Data Visualization and Analytics #FOS: Mathematics #Representation Theory (math.RT) #Topological and Geometric Data Analysis
  17. Inverse Problems in Topological Persistence
    2018/10/25 by Oudot, Steve, Solomon, Elchanan · 1 citation
    #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  18. ADAPT: Multimodal Learning for Detecting Physiological Changes under Missing Modalities
    2024/07/04 by Mordacq, Julie, Milecki, Leo, Vakalopoulou, Maria +2 · 2 citations
    #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Machine Learning (cs.LG)
  19. D-GRIL: End-to-End Topological Learning with 2-parameter Persistence
    2024/06/11 by Mukherjee, Soham, Samaga, Shreyas N., Xin, Cheng +2 · 2 citations
    #Algebraic Topology (math.AT) #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG)
  20. Efficient computation of topological integral transforms
    2024/05/03 by Lebovici, Vadim, Oudot, Steve, Passe, Hugo · 1 citation
    #Computational Geometry (cs.CG) #FOS: Computer and information sciences