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Mémoli, Facundo

  1. Persistent Path Homology of Directed Networks
    2017/01/03 by Chowdhury, Samir, Mémoli, Facundo · 10 citations
    #Algebraic Topology (math.AT) #FOS: Mathematics
  2. A functorial Dowker theorem and persistent homology of asymmetric\n networks
    2016/08/18 by Samir Chowdhury, Chowdhury, Samir, Facundo Mémoli +1 · 8 citations
    Computer Science · #Topological and Geometric Data Analysis
  3. The Gromov-Wasserstein distance between networks and stable network\n invariants
    2018/08/13 by Samir Chowdhury, Facundo Mémoli, Chowdhury, Samir +1 · 8 citations
    Computer Science · Medicine · Physics and Astronomy · #Advanced Neuroimaging Techniques and Applications #Complex Network Analysis Techniques #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Metric Geometry (math.MG) #Topological and Geometric Data Analysis
  4. Distance distributions and inverse problems for metric measure spaces
    2018/10/23 by Mémoli, Facundo, Needham, Tom · 3 citations
    #FOS: Mathematics #Metric Geometry (math.MG)
  5. Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics
    2019/12/09 by Kim, Woojin, Mémoli, Facundo, Stefanou, Anastasios · 3 citations
    #06A99 #18B35 #51F99 #55N31 #Algebraic Topology (math.AT) #FOS: Mathematics
  6. Weisfeiler-Lehman meets Gromov-Wasserstein
    2022/02/05 by Samantha Chen, Sunhyuk Lim, Chen, Samantha +7 · 3 citations
    Computer Science · #Advanced Graph Neural Networks #Adversarial Robustness in Machine Learning #Complexity and Algorithms in Graphs #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Metric Geometry (math.MG)
  7. Meta-Diagrams for 2-Parameter Persistence
    2023/03/14 by Clause, Nate, Dey, Tamal K., Mémoli, Facundo +1 · 3 citations
    #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  8. Hierarchical Quasi-Clustering Methods for Asymmetric Networks
    2014/04/17 by Gunnar Carlsson, Facundo Mémoli, Carlsson, Gunnar +5 · 2 citations
    Physics and Astronomy · Computer Science · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Data Management and Algorithms
  9. Ephemeral persistence features and the stability of filtered chain complexes
    2022/08/24 by Mémoli, Facundo, Zhou, Ling · 3 citations
    #55N31 #55U15 #Algebraic Topology (math.AT) #FOS: Mathematics
  10. Axiomatic Construction of Hierarchical Clustering in Asymmetric Networks
    2013/01/31 by Gunnar Carlsson, Facundo Mémoli, Carlsson, Gunnar +5 · 1 citation
    Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Social and Information Networks (cs.SI)
  11. A generalization of the persistent Laplacian to simplicial maps
    2023/02/07 by Gülen, Aziz Burak, Mémoli, Facundo, Wan, Zhengchao +1 · 2 citations
    #Combinatorics (math.CO) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  12. Explicit Geodesics in Gromov-Hausdorff Space
    2016/03/08 by Chowdhury, Samir, Mémoli, Facundo · 1 citation
    #FOS: Mathematics #Metric Geometry (math.MG)
  13. Sketching and Clustering Metric Measure Spaces
    2018/01/02 by Mémoli, Facundo, Sidiropoulos, Anastasios, Singhal, Kritika · 1 citation
    #Computational Complexity (cs.CC) #Computational Geometry (cs.CG) #FOS: Computer and information sciences
  14. The Generalized Rank Invariant: Möbius invertibility, Discriminating Power, and Connection to Other Invariants
    2022/07/23 by Clause, Nathaniel, Kim, Woojin, Mémoli, Facundo · 2 citations
    #55U99 #5N31 #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  15. Comparison Results for Gromov-Wasserstein and Gromov-Monge Distances
    2022/12/28 by Facundo Mémoli, Tom Needham, Mémoli, Facundo +1 · 2 citations
    Computer Science · Medicine · #FOS: Mathematics #Medical Imaging Techniques and Applications #Metric Geometry (math.MG) #Topological and Geometric Data Analysis
  16. Persistent Homotopy Groups of Metric Spaces
    2019/12/28 by Mémoli, Facundo, Zhou, Ling · 2 citations
    #51F99 #53C23 #55N35 #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  17. The ultrametric Gromov-Wasserstein distance
    2021/01/14 by Mémoli, Facundo, Munk, Axel, Wan, Zhengchao +1 · 1 citation
    #FOS: Biological sciences #FOS: Mathematics #Metric Geometry (math.MG) #Populations and Evolution (q-bio.PE)
  18. The Gromov-Hausdorff distance between ultrametric spaces: its structure and computation
    2021/10/07 by Facundo Mémoli, Zane Smith, Mémoli, Facundo +3 · 1 citation
    Computer Science · Mathematics · #Advanced Topology and Set Theory #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Metric Geometry (math.MG) #Topological and Geometric Data Analysis
  19. Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and its Applications
    2021/11/30 by Dey, Tamal K., Kim, Woojin, Mémoli, Facundo · 1 citation
    #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  20. The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs
    2023/02/01 by Samantha Chen, Sunhyuk Lim, Chen, Samantha +7 · 1 citation
    Psychology · Neuroscience · #Mental Health Research Topics #EEG and Brain-Computer Interfaces
  21. Grassmannian Persistence Diagrams: Special Properties in the 1-Parameter Setting
    2025/04/04 by Aziz Burak Gülen, Facundo Mémoli, Gülen, Aziz Burak +3 · 2 citations
    Computer Science · Mathematics · #Topological and Geometric Data Analysis #Advanced Combinatorial Mathematics #Homotopy and Cohomology in Algebraic Topology
  22. Persistent Cup-Length
    2021/07/04 by Contessoto, Marco, Mémoli, Facundo, Stefanou, Anastasios +1 · 2 citations
    #51F99 #55-04 #55N20 #55N31 #55U99 #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
  23. Geometric Bounds for Persistence
    2024/03/20 by Alexey Balitskiy, Balitskiy, Alexey, Barış Coşkunuzer +3 · 1 citation
    Computer Science · #Algebraic Topology (math.AT) #FOS: Mathematics #Metric Geometry (math.MG) #Topological and Geometric Data Analysis
  24. Persistent Cup Product Structures and Related Invariants
    2022/11/30 by Mémoli, Facundo, Stefanou, Anastasios, Zhou, Ling · 2 citations
    #55M30 #55N20 #55U99 #Algebraic Topology (math.AT) #FOS: Mathematics #General Topology (math.GN)
  25. Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes
    2022/12/31 by Adams, Henry, Bush, Johnathan, Clause, Nate +13 · 3 citations
    #51F30 #53C23 #55N31 #55P91 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG)