## Mémoli, Facundo

Compute Distance To:
 Author ID: memoli.facundo Published as: Mémoli, Facundo
 Documents Indexed: 38 Publications since 2001 Co-Authors: 26 Co-Authors with 32 Joint Publications 666 Co-Co-Authors
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### Co-Authors

 6 single-authored 5 Chowdhury, Samir 5 Sapiro, Guillermo 4 Carlsson, Gunnar E. 4 Kim, Woojin 3 Mio, Washington 3 Wang, Yusu 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 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
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### 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 Information and Inference 1 Axioms 1 Actes des Rencontres du C.I.R.M.
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### Fields

 15 Algebraic topology (55-XX) 13 Computer science (68-XX) 11 Statistics (62-XX) 9 Differential geometry (53-XX) 6 Combinatorics (05-XX) 5 Probability theory and stochastic processes (60-XX) 4 General topology (54-XX) 4 Numerical analysis (65-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 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)

### Citations contained in zbMATH Open

26 Publications have been cited 232 times in 178 Documents Cited by Year
A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022
Mémoli, Facundo; Sapiro, Guillermo
2005
Characterization, stability and convergence of hierarchical clustering methods. Zbl 1242.62050
Carlsson, Gunnar; Mémoli, Facundo
2010
Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces. Zbl 0991.65018
Mémoli, Facundo; Sapiro, Guillermo
2001
Gromov-Wasserstein distances and the metric approach to object matching. Zbl 1244.68078
Mémoli, Facundo
2011
Classifying clustering schemes. Zbl 1358.62057
Carlsson, Gunnar; Mémoli, Facundo
2013
Distance functions and geodesics on submanifolds of $${\mathbb R}^d$$ and point clouds. Zbl 1079.65020
Mémoli, Facundo; Sapiro, Guillermo
2005
A spectral notion of Gromov-Wasserstein distance and related methods. Zbl 1219.53046
Mémoli, Facundo
2011
Some properties of Gromov-Hausdorff distances. Zbl 1254.54033
Mémoli, Facundo
2012
Solving variational problems and partial differential equations mapping into general target manifolds. Zbl 1044.65060
Mémoli, Facundo; Sapiro, Guillermo; Osher, Stanley
2004
Persistent path homology of directed networks. Zbl 1403.68154
Chowdhury, Samir; Mémoli, Facundo
2018
A functorial Dowker theorem and persistent homology of asymmetric networks. Zbl 1423.55038
Chowdhury, Samir; Mémoli, Facundo
2018
Multiscale mapper: topological summarization via codomain covers. Zbl 1410.68315
Dey, Tamal K.; Mémoli, Facundo; Wang, Yusu
2016
Topological analysis of nerves, Reeb spaces, mappers, and multiscale mappers. Zbl 1436.55007
Dey, Tamal K.; Mémoli, Facundo; Wang, Yusu
2017
The Reeb graph edit distance is universal. Zbl 07434420
Bauer, Ulrich; Landi, Claudia; Mémoli, Facundo
2021
Multiscale covariance fields, local scales, and shape transforms. Zbl 1322.62185
Diaz Martinez, Diego H.; Mémoli, Facundo; Mio, Washington
2013
Local scales on curves and surfaces. Zbl 1252.68332
Le, Triet; Mémoli, Facundo
2012
The Gromov-Wasserstein distance: a brief overview. Zbl 1311.68174
Mémoli, Facundo
2014
Distances between datasets. Zbl 1386.53045
Mémoli, Facundo
2017
Reeb posets and tree approximations. Zbl 1429.05197
Mémoli, Facundo; Okutan, Osman Berat
2020
The Gromov-Wasserstein distance between networks and stable network invariants. Zbl 1471.62387
Chowdhury, Samir; Mémoli, Facundo
2019
Analysis of dynamic graphs and dynamic metric spaces via zigzag persistence. Zbl 1448.55008
Kim, Woojin; Mémoli, Facundo; Smith, Zane
2020
Hierarchical clustering of asymmetric networks. Zbl 1414.91298
Carlsson, Gunnar; Mémoli, Facundo; Ribeiro, Alejandro; Segarra, Santiago
2018
The reflection distance between zigzag persistence modules. Zbl 1435.55002
Elchesen, Alexander; Mémoli, Facundo
2019
The persistent homotopy type distance. Zbl 07114172
Frosini, Patrizio; Landi, Claudia; Mémoli, Facundo
2019
The shape of data and probability measures. Zbl 1464.62321
Díaz Martínez, Diego H.; Mémoli, Facundo; Mio, Washington
2020
Generalized persistence diagrams for persistence modules over posets. Zbl 07454845
Kim, Woojin; Mémoli, Facundo
2021
The Reeb graph edit distance is universal. Zbl 07434420
Bauer, Ulrich; Landi, Claudia; Mémoli, Facundo
2021
Generalized persistence diagrams for persistence modules over posets. Zbl 07454845
Kim, Woojin; Mémoli, Facundo
2021
Reeb posets and tree approximations. Zbl 1429.05197
Mémoli, Facundo; Okutan, Osman Berat
2020
Analysis of dynamic graphs and dynamic metric spaces via zigzag persistence. Zbl 1448.55008
Kim, Woojin; Mémoli, Facundo; Smith, Zane
2020
The shape of data and probability measures. Zbl 1464.62321
Díaz Martínez, Diego H.; Mémoli, Facundo; Mio, Washington
2020
The Gromov-Wasserstein distance between networks and stable network invariants. Zbl 1471.62387
Chowdhury, Samir; Mémoli, Facundo
2019
The reflection distance between zigzag persistence modules. Zbl 1435.55002
Elchesen, Alexander; Mémoli, Facundo
2019
The persistent homotopy type distance. Zbl 07114172
Frosini, Patrizio; Landi, Claudia; Mémoli, Facundo
2019
Persistent path homology of directed networks. Zbl 1403.68154
Chowdhury, Samir; Mémoli, Facundo
2018
A functorial Dowker theorem and persistent homology of asymmetric networks. Zbl 1423.55038
Chowdhury, Samir; Mémoli, Facundo
2018
Hierarchical clustering of asymmetric networks. Zbl 1414.91298
Carlsson, Gunnar; Mémoli, Facundo; Ribeiro, Alejandro; Segarra, Santiago
2018
Topological analysis of nerves, Reeb spaces, mappers, and multiscale mappers. Zbl 1436.55007
Dey, Tamal K.; Mémoli, Facundo; Wang, Yusu
2017
Distances between datasets. Zbl 1386.53045
Mémoli, Facundo
2017
Multiscale mapper: topological summarization via codomain covers. Zbl 1410.68315
Dey, Tamal K.; Mémoli, Facundo; Wang, Yusu
2016
The Gromov-Wasserstein distance: a brief overview. Zbl 1311.68174
Mémoli, Facundo
2014
Classifying clustering schemes. Zbl 1358.62057
Carlsson, Gunnar; Mémoli, Facundo
2013
Multiscale covariance fields, local scales, and shape transforms. Zbl 1322.62185
Diaz Martinez, Diego H.; Mémoli, Facundo; Mio, Washington
2013
Some properties of Gromov-Hausdorff distances. Zbl 1254.54033
Mémoli, Facundo
2012
Local scales on curves and surfaces. Zbl 1252.68332
Le, Triet; Mémoli, Facundo
2012
Gromov-Wasserstein distances and the metric approach to object matching. Zbl 1244.68078
Mémoli, Facundo
2011
A spectral notion of Gromov-Wasserstein distance and related methods. Zbl 1219.53046
Mémoli, Facundo
2011
Characterization, stability and convergence of hierarchical clustering methods. Zbl 1242.62050
Carlsson, Gunnar; Mémoli, Facundo
2010
A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022
Mémoli, Facundo; Sapiro, Guillermo
2005
Distance functions and geodesics on submanifolds of $${\mathbb R}^d$$ and point clouds. Zbl 1079.65020
Mémoli, Facundo; Sapiro, Guillermo
2005
Solving variational problems and partial differential equations mapping into general target manifolds. Zbl 1044.65060
Mémoli, Facundo; Sapiro, Guillermo; Osher, Stanley
2004
Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces. Zbl 0991.65018
Mémoli, Facundo; Sapiro, Guillermo
2001
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### Cited by 328 Authors

 22 Mémoli, Facundo 11 Kimmel, Ron 8 Bronstein, Alexander M. 8 Bronstein, Michael M. 6 Dovgoshey, Oleksiy Alfredovich 6 Sapiro, Guillermo 4 Guralnik, Dan P. 4 Kim, Woojin 4 Lipman, Yaron 4 Mio, Washington 4 Raviv, Dan 4 Tuzhilin, Alexey Avgustinovich 3 Aflalo, Yonathan 3 Carlsson, Gunnar E. 3 Daubechies, Ingrid Chantal 3 Dubrovina, Anastasia 3 Ivanov, Aleksandr Olegovich 3 Rumpf, Martin 3 Schnörr, Christoph 3 Wirth, Benedikt 2 Adams, Henry 2 Bauer, Ulrich 2 Bobrowski, Omer 2 Carrière, Mathieu 2 Cecil, Thomas C. 2 Chacón, José E. 2 Chowdhury, Samir 2 Culbertson, Jared 2 Dey, Tamal Krishna 2 Diaz Martinez, Diego H. 2 Do Duc Thuan 2 Greer, John B. 2 He, Ying 2 Le, Triet M. 2 Leung, Shingyu 2 Luo, Shousheng 2 Martínez-Pérez, Álvaro 2 Muranov, Yuriĭ Vladimirovich 2 Nguyen Huu Du 2 Nguyen Thu Ha 2 Osher, Stanley Joel 2 Scheffer, Christian 2 Schmitzer, Bernhard 2 Segarra, Santiago 2 Srivastava, Anuj 2 Stiller, Peter F. 2 Tai, Xuecheng 2 Vahrenhold, Jan 2 Wang, Yusu 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 Bachini, Elena 1 Balch, Brenden 1 Baldan, Paolo 1 Ball, Michael O. 1 Bar, Leah 1 Bartesaghi, Alberto 1 Baryshnikov, Yuliy M. 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 V. 1 Bińkowski, Mikołaj 1 Blumberg, Andrew J. 1 Blumstein, Mark 1 Bose, Prosenjit K. 1 Botnan, Magnus Bakke 1 Brézis, Haïm 1 Brodzki, Jacek 1 Brown, Adam 1 Bruckstein, Alfred Marcel 1 Bruveris, Martins 1 Bubenik, Peter 1 Bücker, H. Martin 1 Burfitt, Matthew 1 Bush, Johnathan 1 Cai, Chen 1 Candès, Emmanuel J. 1 Cellat, Serdar 1 Chan, Tony Fan-Cheong 1 Chen, Jiahui 1 Chen, Ray-Ming 1 Chen, Shikui 1 Chierchia, Giovanni 1 Chousionis, Vasileios ...and 228 more Authors
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### Cited in 81 Serials

 11 Journal of Computational Physics 9 International Journal of Computer Vision 7 Discrete & Computational Geometry 7 Journal of Mathematical Imaging and Vision 7 Journal of Applied and Computational Topology 6 Applied and Computational Harmonic Analysis 5 Foundations of Computational Mathematics 4 Advances in Mathematics 4 SIAM Journal on Imaging Sciences 4 SIAM Journal on Applied Algebra and Geometry 3 Computer Aided Geometric Design 3 ACM Transactions on Graphics 3 Journal of Scientific Computing 3 Computational Geometry 3 Journal of Machine Learning Research (JMLR) 3 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 3 Actes des Rencontres du C.I.R.M. 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 Computational Statistics and Data Analysis 2 Advances in Data Analysis and Classification. ADAC 2 Axioms 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 Probability Theory and Related Fields 1 Statistical Science 1 MCSS. Mathematics of Control, Signals, and Systems 1 Forum Mathematicum 1 Machine Learning 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 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 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Sbornik: Mathematics 1 Mathematical Problems in Engineering 1 Qualitative Theory of Dynamical Systems 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 Advances in Adaptive Data Analysis 1 Communications in Applied and Industrial Mathematics 1 Open Mathematics 1 Computational and Mathematical Biophysics 1 SIAM Journal on Mathematics of Data Science
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### Cited in 45 Fields

 60 Computer science (68-XX) 42 Numerical analysis (65-XX) 33 Algebraic topology (55-XX) 33 Statistics (62-XX) 24 Differential geometry (53-XX) 21 Combinatorics (05-XX) 18 Partial differential equations (35-XX) 17 Global analysis, analysis on manifolds (58-XX) 15 Information and communication theory, circuits (94-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 General topology (54-XX) 8 Probability theory and stochastic processes (60-XX) 7 Geometry (51-XX) 7 Manifolds and cell complexes (57-XX) 7 Biology and other natural sciences (92-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Category theory; homological algebra (18-XX) 3 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-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 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-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 Operator theory (47-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)