Facundo Mémoli

ORCID

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 81

Top Venues

CoRR

SoCG

J. Appl. Comput. Topol.

Discret. Comput. Geom.

Publications

Tamal K. Dey, Woojin Kim, Facundo Mémoli
Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and Its Applications. Discret. Comput. Geom. 71 (1) (2024)
Mario Gómez, Facundo Mémoli
Curvature Sets Over Persistence Diagrams. Discret. Comput. Geom. 72 (1) (2024)
Facundo Mémoli, Anastasios Stefanou, Ling Zhou
Persistent cup product structures and related invariants. J. Appl. Comput. Topol. 8 (1) (2024)
Facundo Mémoli, Brantley Vose, Robert C. Williamson
Geometry and Stability of Supervised Learning Problems. CoRR (2024)
Woojin Kim, Facundo Mémoli
Extracting Persistent Clusters in Dynamic Data via Möbius Inversion. Discret. Comput. Geom. 71 (4) (2024)
Mario Gómez, Facundo Mémoli
The Four Point Condition: An Elementary Tropicalization of Ptolemy's Inequality. Am. Math. Mon. 131 (3) (2024)
Samantha Chen, Sunhyuk Lim, Facundo Mémoli, Zhengchao Wan, Yusu Wang
The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs. CoRR (2023)
Samantha Chen, Sunhyuk Lim, Facundo Mémoli, Zhengchao Wan, Yusu Wang
The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs. TAG-ML (2023)
Hanbaek Lyu, Facundo Mémoli, David Sivakoff
Sampling random graph homomorphisms and applications to network data analysis. J. Mach. Learn. Res. 24 (2023)
Aziz Burak Gülen, Facundo Mémoli, Zhengchao Wan, Yusu Wang
A generalization of the persistent Laplacian to simplicial maps. CoRR (2023)
Samir Chowdhury, Facundo Mémoli
Distances and isomorphism between networks: stability and convergence of network invariants. J. Appl. Comput. Topol. 7 (2) (2023)
Facundo Mémoli, Ling Zhou
Ephemeral Persistence Features and the Stability of Filtered Chain Complexes. SoCG (2023)
Aziz Burak Gülen, Facundo Mémoli, Zhengchao Wan, Yusu Wang
A Generalization of the Persistent Laplacian to Simplicial Maps. SoCG (2023)
Nate Clause, Tamal K. Dey, Facundo Mémoli, Bei Wang
Meta-Diagrams for 2-Parameter Persistence. CoRR (2023)
Nate Clause, Tamal K. Dey, Facundo Mémoli, Bei Wang
Meta-Diagrams for 2-Parameter Persistence. SoCG (2023)
Facundo Mémoli, Axel Munk, Zhengchao Wan, Christoph Weitkamp
The Ultrametric Gromov-Wasserstein Distance. Discret. Comput. Geom. 70 (4) (2023)
Tamal K. Dey, Woojin Kim, Facundo Mémoli
Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and Its Applications. SoCG (2022)
Nate Clause, Woojin Kim, Facundo Mémoli
The discriminating power of the generalized rank invariant. CoRR (2022)
Marco Contessoto, Facundo Mémoli, Anastasios Stefanou, Ling Zhou
Persistent Cup-Length. SoCG (2022)
Samantha Chen, Sunhyuk Lim, Facundo Mémoli, Zhengchao Wan, Yusu Wang
Weisfeiler-Lehman meets Gromov-Wasserstein. CoRR (2022)
Samantha Chen, Sunhyuk Lim, Facundo Mémoli, Zhengchao Wan, Yusu Wang
Weisfeiler-Lehman Meets Gromov-Wasserstein. ICML (2022)
Facundo Mémoli, Zhengchao Wan, Yusu Wang
Persistent Laplacians: Properties, Algorithms and Implications. SIAM J. Math. Data Sci. 4 (2) (2022)
Facundo Mémoli, Zane T. Smith, Zhengchao Wan
The Gromov-Hausdorff distance between ultrametric spaces: its structure and computation. CoRR (2021)
Gunnar E. Carlsson, Facundo Mémoli, Santiago Segarra
Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach. CoRR (2021)
Woojin Kim, Facundo Mémoli
Generalized persistence diagrams for persistence modules over posets. J. Appl. Comput. Topol. 5 (4) (2021)
Gunnar E. Carlsson, Facundo Mémoli, Santiago Segarra
Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach. SIAM J. Appl. Algebra Geom. 5 (4) (2021)
Facundo Mémoli, Osman Berat Okutan
Quantitative Simplification of Filtered Simplicial Complexes. Discret. Comput. Geom. 65 (2) (2021)
Marco Contessoto, Facundo Mémoli, Anastasios Stefanou, Ling Zhou
The persistent cup-length invariant. CoRR (2021)
Chen Cai, Woojin Kim, Facundo Mémoli, Yusu Wang
Elder-Rule-Staircodes for Augmented Metric Spaces. SIAM J. Appl. Algebra Geom. 5 (3) (2021)
Ulrich Bauer, Claudia Landi, Facundo Mémoli
The Reeb Graph Edit Distance is Universal. Found. Comput. Math. 21 (5) (2021)
Tamal K. Dey, Woojin Kim, Facundo Mémoli
Computing Generalized Rank invariant for 2-Parameter Persistence Modules via Zigzag Persistence and its Applications. CoRR (2021)
Woojin Kim, Facundo Mémoli
Spatiotemporal Persistent Homology for Dynamic Metric Spaces. Discret. Comput. Geom. 66 (3) (2021)
Facundo Mémoli, Zhengchao Wan, Yusu Wang
Persistent Laplacians: properties, algorithms and implications. CoRR (2020)
Facundo Mémoli, Osman Berat Okutan
Reeb posets and tree approximations. Discret. Math. 343 (2) (2020)
Santiago Segarra, T. Mitchell Roddenberry, Facundo Mémoli, Alejandro Ribeiro
Metric Representations of Networks: A Uniqueness Result. ICASSP (2020)
Kun Jin, Facundo Mémoli, Zhengchao Wan
The Gaussian Transform. CoRR (2020)
Facundo Mémoli, Guilherme Vituri F. Pinto
Motivic clustering schemes for directed graphs. CoRR (2020)
Sunhyuk Lim, Facundo Mémoli, Osman Berat Okutan
Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius. CoRR (2020)
Ulrich Bauer, Claudia Landi, Facundo Mémoli
The Reeb Graph Edit Distance Is Universal. SoCG (2020)
Chen Cai, Woojin Kim, Facundo Mémoli, Yusu Wang
Elder-rule-staircodes for Augmented Metric Spaces. CoRR (2020)
Chen Cai, Woojin Kim, Facundo Mémoli, Yusu Wang
Elder-Rule-Staircodes for Augmented Metric Spaces. SoCG (2020)
Haibin Hang, Facundo Mémoli, Washington Mio
A topological study of functional data and Fréchet functions of metric measure spaces. J. Appl. Comput. Topol. 3 (4) (2019)
Santiago Segarra, T. Mitchell Roddenberry, Facundo Mémoli, Alejandro Ribeiro
Metric Representations of Networks: A Uniqueness Result. CoRR (2019)
Facundo Mémoli, Zane T. Smith, Zhengchao Wan
The Wasserstein Transform. ICML (2019)
Alexander Elchesen, Facundo Mémoli
The reflection distance between zigzag persistence modules. J. Appl. Comput. Topol. 3 (3) (2019)
Facundo Mémoli, Ling Zhou
Persistent Homotopy Groups of Metric Spaces. CoRR (2019)
Hanbaek Lyu, Facundo Mémoli, David Sivakoff
Sampling random graph homomorphisms and applications to network data analysis. CoRR (2019)
Facundo Mémoli, Kritika Singhal
A Primer on Persistent Homology of Finite Metric Spaces. CoRR (2019)
Alexander Elchesen, Facundo Mémoli
The reflection distance between zigzag persistence modules. CoRR (2018)
Samir Chowdhury, Facundo Mémoli
Persistent Path Homology of Directed Networks. SODA (2018)
Facundo Mémoli, Zane T. Smith, Zhengchao Wan
The Wasserstein transform. CoRR (2018)
Woojin Kim, Facundo Mémoli
Formigrams: Clustering Summaries of Dynamic Data. CCCG (2018)
Ulrich Bauer, Claudia Landi, Facundo Mémoli
The Reeb Graph Edit Distance is Universal. CoRR (2018)
Samir Chowdhury, Facundo Mémoli
The Metric Space of Networks. CoRR (2018)
Woojin Kim, Facundo Mémoli
Stable Persistent Homology Features of Dynamic Metric Spaces. CoRR (2018)
Facundo Mémoli, Anastasios Sidiropoulos, Kritika Singhal
Sketching and Clustering Metric Measure Spaces. CoRR (2018)
Samir Chowdhury, Facundo Mémoli
The Gromov-Wasserstein distance between networks and stable network invariants. CoRR (2018)
Facundo Mémoli, Anastasios Sidiropoulos, Vijay Sridhar
Quasimetric Embeddings and Their Applications. Algorithmica 80 (12) (2018)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Hierarchical clustering of asymmetric networks. Adv. Data Anal. Classif. 12 (1) (2018)
Woojin Kim, Facundo Mémoli
Rank invariant for Zigzag Modules. CoRR (2018)
Samir Chowdhury, Facundo Mémoli
A functorial Dowker theorem and persistent homology of asymmetric networks. J. Appl. Comput. Topol. 2 (1-2) (2018)
Patrizio Frosini, Claudia Landi, Facundo Mémoli
The Persistent Homotopy Type Distance. CoRR (2017)
Samir Chowdhury, Facundo Mémoli
Convergence of Hierarchical Clustering and Persistent Homology Methods on Directed Networks. CoRR (2017)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks. IEEE Trans. Signal Inf. Process. over Networks 3 (4) (2017)
Woojin Kim, Facundo Mémoli
Stable Signatures for Dynamic Metric Spaces via Zigzag Persistent Homology. CoRR (2017)
Tamal K. Dey, Facundo Mémoli, Yusu Wang
Topological Analysis of Nerves, Reeb Spaces, Mappers, and Multiscale Mappers. SoCG (2017)
Facundo Mémoli
A Distance Between Filtered Spaces Via Tripods. CoRR (2017)
Luca Cosmo, Emanuele Rodolà, Andrea Albarelli, Facundo Mémoli, Daniel Cremers
Consistent Partial Matching of Shape Collections via Sparse Modeling. Comput. Graph. Forum 36 (1) (2017)
Samir Chowdhury, Facundo Mémoli
Distances and Isomorphism between Networks and the Stability of Network Invariants. CoRR (2017)
Tamal K. Dey, Facundo Mémoli, Yusu Wang
Topological Analysis of Nerves, Reeb Spaces, Mappers, and Multiscale Mappers. CoRR (2017)
Facundo Mémoli, Anastasios Sidiropoulos, Vijay Sridhar
Quasimetric Embeddings and Their Applications. ICALP (2016)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Excisive Hierarchical Clustering Methods for Network Data. CoRR (2016)
Samir Chowdhury, Facundo Mémoli
Distances between directed networks and applications. ICASSP (2016)
Zane T. Smith, Samir Chowdhury, Facundo Mémoli
Hierarchical representations of network data with optimal distortion bounds. ACSSC (2016)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Hierarchical Clustering of Asymmetric Networks. CoRR (2016)
Samir Chowdhury, Facundo Mémoli
Persistent homology of directed networks. ACSSC (2016)
Facundo Mémoli, Anastasios Sidiropoulos, Vijay Sridhar
Quasimetric embeddings and their applications. CoRR (2016)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks. CoRR (2016)
Andrey Babichev, Daoyun Ji, Facundo Mémoli, Yuri A. Dabaghian
A Topological Model of the Hippocampal Cell Assembly Network. Frontiers Comput. Neurosci. 10 (2016)
Tamal K. Dey, Facundo Mémoli, Yusu Wang
Multiscale Mapper: Topological Summarization via Codomain Covers. SODA (2016)
Samir Chowdhury, Facundo Mémoli, Zane T. Smith
Improved Error Bounds for Tree Representations of Metric Spaces. NIPS (2016)
Samir Chowdhury, Facundo Mémoli
Metric structures on networks and applications. Allerton (2015)
Tamal K. Dey, Facundo Mémoli, Yusu Wang
Mutiscale Mapper: A Framework for Topological Summarization of Data and Maps. CoRR (2015)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Hierarchical Quasi-Clustering Methods for Asymmetric Networks. CoRR (2014)
Facundo Mémoli
The Gromov-Wasserstein Distance: A Brief Overview. Axioms 3 (3) (2014)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Hierarchical Quasi-Clustering Methods for Asymmetric Networks. ICML (2014)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Axiomatic Construction of Hierarchical Clustering in Asymmetric Networks CoRR (2013)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Axiomatic construction of hierarchical clustering in asymmetric networks. ICASSP (2013)
Diego H. Diaz Martinez, Facundo Mémoli, Washington Mio
Multiscale Covariance Fields, Local Scales, and Shape Transforms. GSI (2013)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Hierarchical clustering methods and algorithms for asymmetric networks. ACSSC (2013)
Gunnar E. Carlsson, Facundo Mémoli
Classifying Clustering Schemes. Found. Comput. Math. 13 (2) (2013)
Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra
Alternative axiomatic constructions for hierarchical clustering of asymmetric networks. GlobalSIP (2013)
Facundo Mémoli
Some Properties of Gromov-Hausdorff Distances. Discret. Comput. Geom. 48 (2) (2012)
Yu. Dabaghian, Facundo Mémoli, Loren M. Frank, Gunnar E. Carlsson
A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology. PLoS Comput. Biol. 8 (8) (2012)
Facundo Mémoli
Metric Structures on Datasets: Stability and Classification of Algorithms. CAIP (2) (2011)
Facundo Mémoli
Gromov-Wasserstein Distances and the Metric Approach to Object Matching. Found. Comput. Math. 11 (4) (2011)
Gunnar E. Carlsson, Facundo Mémoli
Classifying Clustering Schemes CoRR (2010)
Gunnar E. Carlsson, Facundo Mémoli
Characterization, Stability and Convergence of Hierarchical Clustering Methods. J. Mach. Learn. Res. 11 (2010)
Maks Ovsjanikov, Quentin Mérigot, Facundo Mémoli, Leonidas J. Guibas
One Point Isometric Matching with the Heat Kernel. Comput. Graph. Forum 29 (5) (2010)
Frédéric Chazal, David Cohen-Steiner, Leonidas J. Guibas, Facundo Mémoli, Steve Oudot
Gromov-Hausdorff Stable Signatures for Shapes using Persistence. Comput. Graph. Forum 28 (5) (2009)

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Publication Activity (10 Years)

Top Topics

Top Venues

Facundo Mémoli