Comparing Point Clouds. - Facundo Mémoli; Guillermo Sapiro (Symposium on Geometry Processing, 2004)

A Theoretical and Computational Framework for Isometry Invariant Recognition of Point Cloud Data. - Facundo Mémoli; Guillermo Sapiro (Found. Comput. Math., 2005)

Distance Functions and Geodesics on Submanifolds of Rd and Point Clouds. - Facundo Mémoli; Guillermo Sapiro (SIAM J. Appl. Math., 2005)

Computing with Point Cloud Data. - Facundo Mémoli; Guillermo Sapiro (Statistics and Analysis of Shapes, 2006)

On the use of Gromov-Hausdorff Distances for Shape Comparison. - Facundo Mémoli (PBG@Eurographics, 2007)

Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition. - Gurjeet Singh; Facundo Mémoli; Gunnar E. Carlsson (PBG@Eurographics, 2007)

Meshless geometric subdivision. - Carsten Moenning; Facundo Mémoli; Guillermo Sapiro; Nira Dyn; Neil A. Dodgson (Graph. Model., 2007)

Gromov-Hausdorff distances in Euclidean spaces. - Facundo Mémoli (CVPR Workshops, 2008)

Spectral Gromov-Wasserstein distances for shape matching. - Facundo Mémoli (ICCV Workshops, 2009)

Gromov-Hausdorff Stable Signatures for Shapes using Persistence. - Frédéric Chazal; David Cohen-Steiner; Leonidas J. Guibas; Facundo Mémoli; Steve Oudot (Comput. Graph. Forum, 2009)

One Point Isometric Matching with the Heat Kernel. - Maks Ovsjanikov; Quentin Mérigot; Facundo Mémoli; Leonidas J. Guibas (Comput. Graph. Forum, 2010)

Characterization, Stability and Convergence of Hierarchical Clustering Methods. - Gunnar E. Carlsson; Facundo Mémoli (J. Mach. Learn. Res., 2010)

Metric Structures on Datasets: Stability and Classification of Algorithms. - Facundo Mémoli (CAIP (2), 2011)

Gromov-Wasserstein Distances and the Metric Approach to Object Matching. - Facundo Mémoli (Found. Comput. Math., 2011)

Some Properties of Gromov-Hausdorff Distances. - Facundo Mémoli (Discret. Comput. Geom., 2012)

A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology. - Yu. Dabaghian; Facundo Mémoli; Loren M. Frank; Gunnar E. Carlsson (PLoS Comput. Biol., 2012)

Hierarchical clustering methods and algorithms for asymmetric networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (ACSSC, 2013)

Alternative axiomatic constructions for hierarchical clustering of asymmetric networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (GlobalSIP, 2013)

Multiscale Covariance Fields, Local Scales, and Shape Transforms. - Diego H. Diaz Martinez; Facundo Mémoli; Washington Mio (GSI, 2013)

Axiomatic construction of hierarchical clustering in asymmetric networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (ICASSP, 2013)

Classifying Clustering Schemes. - Gunnar E. Carlsson; Facundo Mémoli (Found. Comput. Math., 2013)

Hierarchical Quasi-Clustering Methods for Asymmetric Networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (ICML, 2014)

The Gromov-Wasserstein Distance: A Brief Overview. - Facundo Mémoli (Axioms, 2014)

Metric structures on networks and applications. - Samir Chowdhury 001; Facundo Mémoli (Allerton, 2015)

Mutiscale Mapper: A Framework for Topological Summarization of Data and Maps. - Tamal K. Dey; Facundo Mémoli; Yusu Wang 001 (CoRR, 2015)

Persistent homology of directed networks. - Samir Chowdhury 001; Facundo Mémoli (ACSSC, 2016)

Hierarchical representations of network data with optimal distortion bounds. - Zane T. Smith; Samir Chowdhury 001; Facundo Mémoli (ACSSC, 2016)

Distances between directed networks and applications. - Samir Chowdhury 001; Facundo Mémoli (ICASSP, 2016)

Improved Error Bounds for Tree Representations of Metric Spaces. - Samir Chowdhury 001; Facundo Mémoli; Zane T. Smith (NIPS, 2016)

Multiscale Mapper: Topological Summarization via Codomain Covers. - Tamal K. Dey; Facundo Mémoli; Yusu Wang 001 (SODA, 2016)

Excisive Hierarchical Clustering Methods for Network Data. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (CoRR, 2016)

A Topological Model of the Hippocampal Cell Assembly Network. - Andrey Babichev; Daoyun Ji; Facundo Mémoli; Yuri A. Dabaghian (Frontiers Comput. Neurosci., 2016)

Topological Analysis of Nerves, Reeb Spaces, Mappers, and Multiscale Mappers. - Tamal K. Dey; Facundo Mémoli; Yusu Wang 001 (SoCG, 2017)

Consistent Partial Matching of Shape Collections via Sparse Modeling. - Luca Cosmo; Emanuele Rodolà; Andrea Albarelli; Facundo Mémoli; Daniel Cremers (Comput. Graph. Forum, 2017)

The Persistent Homotopy Type Distance. - Patrizio Frosini; Claudia Landi 001; Facundo Mémoli (CoRR, 2017)

A Distance Between Filtered Spaces Via Tripods. - Facundo Mémoli (CoRR, 2017)

Distances and Isomorphism between Networks and the Stability of Network Invariants. - Samir Chowdhury 001; Facundo Mémoli (CoRR, 2017)

Stable Signatures for Dynamic Metric Spaces via Zigzag Persistent Homology. - Woojin Kim 001; Facundo Mémoli (CoRR, 2017)

Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (IEEE Trans. Signal Inf. Process. over Networks, 2017)

Formigrams: Clustering Summaries of Dynamic Data. - Woojin Kim 001; Facundo Mémoli (CCCG, 2018)

Persistent Path Homology of Directed Networks. - Samir Chowdhury 001; Facundo Mémoli (SODA, 2018)

Hierarchical clustering of asymmetric networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (Adv. Data Anal. Classif., 2018)

Quasimetric Embeddings and Their Applications. - Facundo Mémoli; Anastasios Sidiropoulos; Vijay Sridhar (Algorithmica, 2018)

Sketching and Clustering Metric Measure Spaces. - Facundo Mémoli; Anastasios Sidiropoulos; Kritika Singhal (CoRR, 2018)

The Gromov-Wasserstein distance between networks and stable network invariants. - Samir Chowdhury 001; Facundo Mémoli (CoRR, 2018)

Rank invariant for Zigzag Modules. - Woojin Kim 001; Facundo Mémoli (CoRR, 2018)

Stable Persistent Homology Features of Dynamic Metric Spaces. - Woojin Kim 001; Facundo Mémoli (CoRR, 2018)

A functorial Dowker theorem and persistent homology of asymmetric networks. - Samir Chowdhury 001; Facundo Mémoli (J. Appl. Comput. Topol., 2018)

The Wasserstein Transform. - Facundo Mémoli; Zane T. Smith; Zhengchao Wan (ICML, 2019)

A Primer on Persistent Homology of Finite Metric Spaces. - Facundo Mémoli; Kritika Singhal (CoRR, 2019)

Persistent Homotopy Groups of Metric Spaces. - Facundo Mémoli; Ling Zhou 001 (CoRR, 2019)

The reflection distance between zigzag persistence modules. - Alexander Elchesen; Facundo Mémoli (J. Appl. Comput. Topol., 2019)

A topological study of functional data and Fréchet functions of metric measure spaces. - Haibin Hang; Facundo Mémoli; Washington Mio (J. Appl. Comput. Topol., 2019)

Metric Representations of Networks: A Uniqueness Result. - Santiago Segarra; T. Mitchell Roddenberry; Facundo Mémoli; Alejandro Ribeiro (ICASSP, 2020)

Motivic clustering schemes for directed graphs. - Facundo Mémoli; Guilherme Vituri F. Pinto (CoRR, 2020)

Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius. - Sunhyuk Lim; Facundo Mémoli; Osman Berat Okutan (CoRR, 2020)

The Gaussian Transform. - Kun Jin; Facundo Mémoli; Zhengchao Wan (CoRR, 2020)

Reeb posets and tree approximations. - Facundo Mémoli; Osman Berat Okutan (Discret. Math., 2020)

The persistent cup-length invariant. - Marco Contessoto; Facundo Mémoli; Anastasios Stefanou; Ling Zhou 001 (CoRR, 2021)

The Gromov-Hausdorff distance between ultrametric spaces: its structure and computation. - Facundo Mémoli; Zane T. Smith; Zhengchao Wan (CoRR, 2021)

Spatiotemporal Persistent Homology for Dynamic Metric Spaces. - Woojin Kim 001; Facundo Mémoli (Discret. Comput. Geom., 2021)

Quantitative Simplification of Filtered Simplicial Complexes. - Facundo Mémoli; Osman Berat Okutan (Discret. Comput. Geom., 2021)

The Reeb Graph Edit Distance is Universal. - Ulrich Bauer; Claudia Landi 001; Facundo Mémoli (Found. Comput. Math., 2021)

Generalized persistence diagrams for persistence modules over posets. - Woojin Kim 001; Facundo Mémoli (J. Appl. Comput. Topol., 2021)

Elder-Rule-Staircodes for Augmented Metric Spaces. - Chen Cai; Woojin Kim 001; Facundo Mémoli; Yusu Wang 001 (SIAM J. Appl. Algebra Geom., 2021)

Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach. - Gunnar E. Carlsson; Facundo Mémoli; Santiago Segarra (SIAM J. Appl. Algebra Geom., 2021)

Persistent Cup-Length. - Marco Contessoto; Facundo Mémoli; Anastasios Stefanou; Ling Zhou 001 (SoCG, 2022)

Weisfeiler-Lehman Meets Gromov-Wasserstein. - Samantha Chen 001; Sunhyuk Lim; Facundo Mémoli; Zhengchao Wan; Yusu Wang 001 (ICML, 2022)

The discriminating power of the generalized rank invariant. - Nate Clause; Woojin Kim 001; Facundo Mémoli (CoRR, 2022)

Persistent Laplacians: Properties, Algorithms and Implications. - Facundo Mémoli; Zhengchao Wan; Yusu Wang 001 (SIAM J. Math. Data Sci., 2022)

Meta-Diagrams for 2-Parameter Persistence. - Nate Clause; Tamal K. Dey; Facundo Mémoli; Bei Wang (SoCG, 2023)

A Generalization of the Persistent Laplacian to Simplicial Maps. - Aziz Burak Gülen; Facundo Mémoli; Zhengchao Wan; Yusu Wang 001 (SoCG, 2023)

Ephemeral Persistence Features and the Stability of Filtered Chain Complexes. - Facundo Mémoli; Ling Zhou 001 (SoCG, 2023)

The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs. - Samantha Chen 001; Sunhyuk Lim; Facundo Mémoli; Zhengchao Wan; Yusu Wang 001 (TAG-ML, 2023)

Sampling random graph homomorphisms and applications to network data analysis. - Hanbaek Lyu; Facundo Mémoli; David Sivakoff (J. Mach. Learn. Res., 2023)

The Gromov-Hausdor? distance between ultrametric spaces: its structure and computation. - Facundo Mémoli; Zane T. Smith; Zhengchao Wan (J. Comput. Geom., 2023)

Distances and isomorphism between networks: stability and convergence of network invariants. - Samir Chowdhury 001; Facundo Mémoli (J. Appl. Comput. Topol., 2023)

The Ultrametric Gromov-Wasserstein Distance. - Facundo Mémoli; Axel Munk; Zhengchao Wan; Christoph Weitkamp (Discret. Comput. Geom., 2023)

Geometry and Stability of Supervised Learning Problems. - Facundo Mémoli; Brantley Vose; Robert C. Williamson (CoRR, 2024)

The Z-Gromov-Wasserstein Distance. - Martin Bauer 004; Facundo Mémoli; Tom Needham; Mao Nishino (CoRR, 2024)

Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and Its Applications. - Tamal K. Dey; Woojin Kim 001; Facundo Mémoli (Discret. Comput. Geom., 2024)

Persistent cup product structures and related invariants. - Facundo Mémoli; Anastasios Stefanou; Ling Zhou 001 (J. Appl. Comput. Topol., 2024)

The Four Point Condition: An Elementary Tropicalization of Ptolemy's Inequality. - Mario Gómez; Facundo Mémoli (Am. Math. Mon., 2024)

Extracting Persistent Clusters in Dynamic Data via Möbius Inversion. - Woojin Kim 001; Facundo Mémoli (Discret. Comput. Geom., 2024)

Curvature Sets Over Persistence Diagrams. - Mario Gómez; Facundo Mémoli (Discret. Comput. Geom., 2024)

Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics. - Woojin Kim 001; Facundo Mémoli; Anastasios Stefanou (Order, 2024)