Edit Profile (opens in new tab) Mémoli, Facundo Compute Distance To: Compute Author ID: memoli.facundo Published as: Mémoli, Facundo Documents Indexed: 40 Publications since 2001 Co-Authors: 27 Co-Authors with 34 Joint Publications 705 Co-Co-Authors all top 5 Co-Authors 6 single-authored 5 Chowdhury, Samir 5 Sapiro, Guillermo 4 Carlsson, Gunnar E. 4 Kim, Woojin 4 Wang, Yusu 3 Mio, Washington 2 Dey, Tamal Krishna 2 Diaz Martinez, Diego H. 2 Landi, Claudia 2 Okutan, Osman Berat 2 Segarra, Santiago 2 Sidiropoulos, Anastasios 2 Sridhar, Vijay 2 Wan, Zhengchao 1 Bauer, Ulrich 1 Cai, Chen 1 Clause, Nathaniel 1 Elchesen, Alexander 1 Frosini, Patrizio 1 Hang, Haibin 1 Le, Triet M. 1 Osher, Stanley Joel 1 Ribeiro, Alejandro R. 1 Sánchez, Jose Ángel 1 Singhal, Kritika 1 Smith, Zane 1 Wellner, Zoe all top 5 Serials 4 Foundations of Computational Mathematics 4 Journal of Applied and Computational Topology 3 Discrete & Computational Geometry 3 Applied and Computational Harmonic Analysis 2 Journal of Computational Physics 2 SIAM Journal on Applied Algebra and Geometry 1 Discrete Mathematics 1 Bulletin of Mathematical Biology 1 Topology and its Applications 1 Algorithmica 1 SIAM Journal on Applied Mathematics 1 Homology, Homotopy and Applications 1 Journal of Machine Learning Research (JMLR) 1 Advances in Data Analysis and Classification. ADAC 1 Electronic Research Announcements in Mathematical Sciences 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Information and Inference 1 Axioms 1 Actes des Rencontres du C.I.R.M. 1 SIAM Journal on Mathematics of Data Science all top 5 Fields 16 Algebraic topology (55-XX) 13 Computer science (68-XX) 11 Statistics (62-XX) 9 Differential geometry (53-XX) 7 Combinatorics (05-XX) 5 General topology (54-XX) 5 Probability theory and stochastic processes (60-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 4 Information and communication theory, circuits (94-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 285 times in 208 Documents Cited by ▼ Year ▼ Characterization, stability and convergence of hierarchical clustering methods. Zbl 1242.62050Carlsson, Gunnar; Mémoli, Facundo 44 2010 A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022Mémoli, Facundo; Sapiro, Guillermo 42 2005 Gromov-Wasserstein distances and the metric approach to object matching. Zbl 1244.68078Mémoli, Facundo 31 2011 Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces. Zbl 0991.65018Mémoli, Facundo; Sapiro, Guillermo 28 2001 Classifying clustering schemes. Zbl 1358.62057Carlsson, Gunnar; Mémoli, Facundo 16 2013 Some properties of Gromov-Hausdorff distances. Zbl 1254.54033Mémoli, Facundo 13 2012 A spectral notion of Gromov-Wasserstein distance and related methods. Zbl 1219.53046Mémoli, Facundo 13 2011 Distance functions and geodesics on submanifolds of \({\mathbb R}^d\) and point clouds. Zbl 1079.65020Mémoli, Facundo; Sapiro, Guillermo 13 2005 Persistent path homology of directed networks. Zbl 1403.68154Chowdhury, Samir; Mémoli, Facundo 11 2018 Solving variational problems and partial differential equations mapping into general target manifolds. Zbl 1044.65060Mémoli, Facundo; Sapiro, Guillermo; Osher, Stanley 10 2004 Topological analysis of nerves, Reeb spaces, mappers, and multiscale mappers. Zbl 1436.55007Dey, Tamal K.; Mémoli, Facundo; Wang, Yusu 9 2017 Multiscale mapper: topological summarization via codomain covers. Zbl 1410.68315Dey, Tamal K.; Mémoli, Facundo; Wang, Yusu 7 2016 A functorial Dowker theorem and persistent homology of asymmetric networks. Zbl 1423.55038Chowdhury, Samir; Mémoli, Facundo 6 2018 Spatiotemporal persistent homology for dynamic metric spaces. Zbl 1480.55007Kim, Woojin; Mémoli, Facundo 5 2021 Generalized persistence diagrams for persistence modules over posets. Zbl 1500.55004Kim, Woojin; Mémoli, Facundo 4 2021 The Gromov-Wasserstein distance between networks and stable network invariants. Zbl 1471.62387Chowdhury, Samir; Mémoli, Facundo 4 2019 The Reeb graph edit distance is universal. Zbl 1485.55006Bauer, Ulrich; Landi, Claudia; Mémoli, Facundo 4 2021 Reeb posets and tree approximations. Zbl 1429.05197Mémoli, Facundo; Okutan, Osman Berat 3 2020 Hierarchical clustering of asymmetric networks. Zbl 1414.91298Carlsson, Gunnar; Mémoli, Facundo; Ribeiro, Alejandro; Segarra, Santiago 3 2018 Explicit geodesics in Gromov-Hausdorff space. Zbl 1405.53066Chowdhury, Samir; Mémoli, Facundo 2 2018 The shape of data and probability measures. Zbl 1464.62321Díaz Martínez, Diego H.; Mémoli, Facundo; Mio, Washington 2 2020 Local scales on curves and surfaces. Zbl 1252.68332Le, Triet; Mémoli, Facundo 2 2012 Multiscale covariance fields, local scales, and shape transforms. Zbl 1322.62185Diaz Martinez, Diego H.; Mémoli, Facundo; Mio, Washington 2 2013 The reflection distance between zigzag persistence modules. Zbl 1435.55002Elchesen, Alexander; Mémoli, Facundo 2 2019 The persistent homotopy type distance. Zbl 1503.55003Frosini, Patrizio; Landi, Claudia; Mémoli, Facundo 2 2019 The Gromov-Wasserstein distance: a brief overview. Zbl 1311.68174Mémoli, Facundo 2 2014 Elder-rule-staircodes for augmented metric spaces. Zbl 1477.55005Cai, Chen; Kim, Woojin; Mémoli, Facundo; Wang, Yusu 1 2021 Analysis of dynamic graphs and dynamic metric spaces via zigzag persistence. Zbl 1448.55008Kim, Woojin; Mémoli, Facundo; Smith, Zane 1 2020 Persistent Laplacians: properties, algorithms and implications. Zbl 1496.55007Mémoli, Facundo; Wan, Zhengchao; Wang, Yusu 1 2022 Distances between datasets. Zbl 1386.53045Mémoli, Facundo 1 2017 A topological study of functional data and Fréchet functions of metric measure spaces. Zbl 1435.62449Hang, Haibin; Mémoli, Facundo; Mio, Washington 1 2019 Persistent Laplacians: properties, algorithms and implications. Zbl 1496.55007Mémoli, Facundo; Wan, Zhengchao; Wang, Yusu 1 2022 Spatiotemporal persistent homology for dynamic metric spaces. Zbl 1480.55007Kim, Woojin; Mémoli, Facundo 5 2021 Generalized persistence diagrams for persistence modules over posets. Zbl 1500.55004Kim, Woojin; Mémoli, Facundo 4 2021 The Reeb graph edit distance is universal. Zbl 1485.55006Bauer, Ulrich; Landi, Claudia; Mémoli, Facundo 4 2021 Elder-rule-staircodes for augmented metric spaces. Zbl 1477.55005Cai, Chen; Kim, Woojin; Mémoli, Facundo; Wang, Yusu 1 2021 Reeb posets and tree approximations. Zbl 1429.05197Mémoli, Facundo; Okutan, Osman Berat 3 2020 The shape of data and probability measures. Zbl 1464.62321Díaz Martínez, Diego H.; Mémoli, Facundo; Mio, Washington 2 2020 Analysis of dynamic graphs and dynamic metric spaces via zigzag persistence. Zbl 1448.55008Kim, Woojin; Mémoli, Facundo; Smith, Zane 1 2020 The Gromov-Wasserstein distance between networks and stable network invariants. Zbl 1471.62387Chowdhury, Samir; Mémoli, Facundo 4 2019 The reflection distance between zigzag persistence modules. Zbl 1435.55002Elchesen, Alexander; Mémoli, Facundo 2 2019 The persistent homotopy type distance. Zbl 1503.55003Frosini, Patrizio; Landi, Claudia; Mémoli, Facundo 2 2019 A topological study of functional data and Fréchet functions of metric measure spaces. Zbl 1435.62449Hang, Haibin; Mémoli, Facundo; Mio, Washington 1 2019 Persistent path homology of directed networks. Zbl 1403.68154Chowdhury, Samir; Mémoli, Facundo 11 2018 A functorial Dowker theorem and persistent homology of asymmetric networks. Zbl 1423.55038Chowdhury, Samir; Mémoli, Facundo 6 2018 Hierarchical clustering of asymmetric networks. Zbl 1414.91298Carlsson, Gunnar; Mémoli, Facundo; Ribeiro, Alejandro; Segarra, Santiago 3 2018 Explicit geodesics in Gromov-Hausdorff space. Zbl 1405.53066Chowdhury, Samir; Mémoli, Facundo 2 2018 Topological analysis of nerves, Reeb spaces, mappers, and multiscale mappers. Zbl 1436.55007Dey, Tamal K.; Mémoli, Facundo; Wang, Yusu 9 2017 Distances between datasets. Zbl 1386.53045Mémoli, Facundo 1 2017 Multiscale mapper: topological summarization via codomain covers. Zbl 1410.68315Dey, Tamal K.; Mémoli, Facundo; Wang, Yusu 7 2016 The Gromov-Wasserstein distance: a brief overview. Zbl 1311.68174Mémoli, Facundo 2 2014 Classifying clustering schemes. Zbl 1358.62057Carlsson, Gunnar; Mémoli, Facundo 16 2013 Multiscale covariance fields, local scales, and shape transforms. Zbl 1322.62185Diaz Martinez, Diego H.; Mémoli, Facundo; Mio, Washington 2 2013 Some properties of Gromov-Hausdorff distances. Zbl 1254.54033Mémoli, Facundo 13 2012 Local scales on curves and surfaces. Zbl 1252.68332Le, Triet; Mémoli, Facundo 2 2012 Gromov-Wasserstein distances and the metric approach to object matching. Zbl 1244.68078Mémoli, Facundo 31 2011 A spectral notion of Gromov-Wasserstein distance and related methods. Zbl 1219.53046Mémoli, Facundo 13 2011 Characterization, stability and convergence of hierarchical clustering methods. Zbl 1242.62050Carlsson, Gunnar; Mémoli, Facundo 44 2010 A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022Mémoli, Facundo; Sapiro, Guillermo 42 2005 Distance functions and geodesics on submanifolds of \({\mathbb R}^d\) and point clouds. Zbl 1079.65020Mémoli, Facundo; Sapiro, Guillermo 13 2005 Solving variational problems and partial differential equations mapping into general target manifolds. Zbl 1044.65060Mémoli, Facundo; Sapiro, Guillermo; Osher, Stanley 10 2004 Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces. Zbl 0991.65018Mémoli, Facundo; Sapiro, Guillermo 28 2001 all cited Publications top 5 cited Publications all top 5 Cited by 390 Authors 24 Mémoli, Facundo 11 Kimmel, Ron 8 Bronstein, Alexander M. 8 Bronstein, Michael M. 7 Dovgoshey, Oleksiy Alfredovich 6 Sapiro, Guillermo 5 Mio, Washington 4 Adams, Henry 4 Guralnik, Dan P. 4 Ivanov, Aleksandr Olegovich 4 Kim, Woojin 4 Lipman, Yaron 4 Raviv, Dan 3 Aflalo, Yonathan 3 Bubenik, Peter 3 Carlsson, Gunnar E. 3 Carrière, Mathieu 3 Daubechies, Ingrid Chantal 3 Dey, Tamal Krishna 3 Dubrovina, Anastasia 3 Rumpf, Martin 3 Schnörr, Christoph 3 Tuzhilin, Alexey Avgustinovich 3 Wang, Bei 3 Wang, Yusu 3 Wirth, Benedikt 2 Bauer, Ulrich 2 Bobrowski, Omer 2 Cecil, Thomas C. 2 Chacón, José E. 2 Chowdhury, Samir 2 Culbertson, Jared 2 Diaz Martinez, Diego H. 2 Do Duc Thuan 2 Elchesen, Alex 2 Greer, John B. 2 Hang, Haibin 2 He, Ying 2 Le, Triet M. 2 Leung, Shingyu 2 Luo, Shousheng 2 Martínez-Pérez, Álvaro 2 Michel, Bertrand 2 Muranov, Yuriĭ Vladimirovich 2 Needham, Tom 2 Nguyen Huu Du 2 Nguyen Thu Ha 2 Okutan, Osman Berat 2 Osher, Stanley Joel 2 Oudot, Steve Yann 2 Peterson, Chris 2 Scheffer, Christian 2 Schmitzer, Bernhard 2 Segarra, Santiago 2 Srivastava, Anuj 2 Stiller, Peter F. 2 Tai, Xuecheng 2 Vahrenhold, Jan 2 Wan, Zhengchao 2 Wu, Hau-Tieng 2 Xin, Shiqing 1 Ackerman, Margareta 1 Agulló-Antolín, Marina 1 Aigerman, Noam 1 Al-Aifari, Reema 1 Angulo, Jesús 1 Antonietti, Paola Francesca 1 Arguillère, Sylvain 1 Arslan, Omur 1 Bacci, Giorgio 1 Bacci, Giovanni 1 Bachini, Elena 1 Bakkelund, Daniel 1 Balch, Brenden 1 Baldan, Paolo 1 Ball, Michael O. 1 Bar, Leah 1 Bartesaghi, Alberto 1 Baryshnikov, Yuliy M. 1 Basu, Saugata 1 Bates, Jonathan 1 Batool, Fatima 1 Bauer, Martin 1 Bayro-Corrochano, Eduardo 1 Becker, Florian 1 Belchí, Francisco 1 Belkin, Mikhail 1 Ben-David, Shai 1 Bergomi, Mattia Giuseppe 1 Bertozzi, Andrea Louise 1 Bilet, Viktoriia Viktorivna 1 Bińkowski, Mikołaj 1 Blumberg, Andrew J. 1 Blumstein, Mark 1 Bose, Prosenjit K. 1 Botnan, Magnus Bakke 1 Bourn, Rebecca 1 Brézis, Haïm 1 Brodzki, Jacek 1 Brown, Adam ...and 290 more Authors all top 5 Cited in 91 Serials 11 Journal of Computational Physics 11 Journal of Applied and Computational Topology 9 Discrete & Computational Geometry 9 International Journal of Computer Vision 7 Journal of Mathematical Imaging and Vision 6 Applied and Computational Harmonic Analysis 5 Foundations of Computational Mathematics 5 SIAM Journal on Applied Algebra and Geometry 4 Advances in Mathematics 4 Computational Geometry 4 SIAM Journal on Imaging Sciences 4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 3 Computer Aided Geometric Design 3 ACM Transactions on Graphics 3 Journal of Scientific Computing 3 Journal of Machine Learning Research (JMLR) 3 Actes des Rencontres du C.I.R.M. 3 SIAM Journal on Mathematics of Data Science 2 Computer Methods in Applied Mechanics and Engineering 2 Discrete Applied Mathematics 2 Mathematics of Computation 2 Bulletin of Mathematical Biology 2 Calcolo 2 Topology and its Applications 2 Journal of Classification 2 Probability Theory and Related Fields 2 Machine Learning 2 Computational Statistics and Data Analysis 2 Advances in Data Analysis and Classification. ADAC 2 Axioms 2 Computational and Mathematical Biophysics 2 Foundations of Data Science 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Fuzzy Sets and Systems 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Econometrics 1 Journal of Geometry 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Matematički Vesnik 1 Mathematics of Operations Research 1 Mathematica Slovaca 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Statistics & Probability Letters 1 Statistical Science 1 MCSS. Mathematics of Control, Signals, and Systems 1 Forum Mathematicum 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Computational Statistics 1 Linear Algebra and its Applications 1 Pattern Recognition 1 Proceedings of the National Academy of Sciences of the United States of America 1 IEEE Transactions on Pattern Analysis and Machine Intelligence 1 Expositiones Mathematicae 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Computational and Applied Mathematics 1 Sbornik: Mathematics 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Qualitative Theory of Dynamical Systems 1 Algebraic & Geometric Topology 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Oberwolfach Reports 1 Journal of Zhejiang University. Science A 1 Inverse Problems and Imaging 1 Journal of Topology and Analysis 1 Advances in Adaptive Data Analysis 1 Communications in Applied and Industrial Mathematics 1 Analysis and Geometry in Metric Spaces 1 Open Mathematics 1 Pure and Applied Analysis 1 Algebraic Statistics all top 5 Cited in 47 Fields 66 Computer science (68-XX) 49 Algebraic topology (55-XX) 42 Statistics (62-XX) 42 Numerical analysis (65-XX) 30 Combinatorics (05-XX) 27 Differential geometry (53-XX) 19 Partial differential equations (35-XX) 19 General topology (54-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 16 Information and communication theory, circuits (94-XX) 10 Probability theory and stochastic processes (60-XX) 9 Biology and other natural sciences (92-XX) 8 Geometry (51-XX) 8 Manifolds and cell complexes (57-XX) 5 Category theory; homological algebra (18-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Fluid mechanics (76-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Citations by Year