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Facundo Memoli

  • Associate Professor, Mathematics
  • Associate Professor, Computer Science & Engineering
  • 281 Dreese Labs
    Columbus, OH 43210
  • 100 Math Tower/231 West 18th Av
  • 614-292-4975

Chapters

2013

  • 2013. "The Gromov-Hausdorff distance: a brief tutorial on some of its quantitative aspects.." In Actes des rencontres du CIRM, 3 no. 1: Courbure discrete : theorie et applications,

2006

2002

  • 2002. "Variational Problems and PDEs on Implicit Surfaces.." In Geometric Level Set Methods in Imaging, Vision and Graphics,

Journal Articles

2019

2018

  • Chowdhury, S.; Memoli Techera, F., 2018, "A functorial Dowker theorem and persistent homology of asymmetric networks." Journal of Applied and Computational Topology
  • Diaz, D.; Memoli, F.; Mio, W., 2018, The Shape of Data and Probability Measures. Applied and Computational Harmonic Analysis
  • Chowdhury, S.; Memoli, F., 2018, "EXPLICIT GEODESICS IN GROMOV-HAUSDORFF SPACE." ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES 25, 48-59 - 48-59.
  • Chowdhury, S.; Dai, B.; Mémoli, F., 2018, "The importance of forgetting: Limiting memory improves recovery of topological characteristics from neural data." PLoS ONE 13, no. 9,

2017

  • Carlsson, G.; Memoli, F.; Ribeiro, A.; Segarra, S., 2017, "Admissible hierarchical clustering methods and algorithms for asymmetric networks." IEEE Transactions on Signal and Information Processing over Networks 3, no. 4, 711-727 - 711-727.

2016

2014

  • Memoli, F., 2014, "The Gromov-Wasserstein distance: a brief overview." Axioms 3,

2013

  • Carlsson,Gunnar; Memoli,Facundo, 2013, "Classifying Clustering Schemes." FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 13, no. 2, 221-252 - 221-252.

2012

  • Le, T.; Memoli, F., 2012, "Local scales on curves and surfaces." APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 33, no. 3,
  • Memoli,Facundo, 2012, "Some Properties of Gromov-Hausdorff Distances." DISCRETE & COMPUTATIONAL GEOMETRY 48, no. 2, 416-440 - 416-440.
  • Dabaghian, Y.; Memoli, F.; Frank, L.; Carlsson, G., 2012, "A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology." PLOS COMPUTATIONAL BIOLOGY 8, no. 8,

2011

  • Memoli, F., 2011, "Gromov-Wasserstein Distances and the Metric Approach to Object Matching." FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 11, no. 4,
  • Memoli, F., 2011, "A spectral notion of Gromov-Wasserstein distance and related methods." APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 30, no. 3,

2010

  • Ovsjanikov, M.; Merigot, Q.; Memoli, F.; Guibas, L., 2010, "One Point Isometric Matching with the Heat Kernel." COMPUTER GRAPHICS FORUM 29, no. 5,
  • Carlsson,Gunnar; Memoli,Facundo, 2010, "Characterization, Stability and Convergence of Hierarchical Clustering Methods." JOURNAL OF MACHINE LEARNING RESEARCH 11, 1425-1470 - 1425-1470.
  • Ovsjanikov, M.; Mérigot, Q.; Mémoli, F.; Guibas, L., 2010, "One point isometric matching with the heat kernel." Eurographics Symposium on Geometry Processing 29, no. 5, 1555-1564 - 1555-1564.

2009

  • Chazal,Frederic; Cohen-Steiner,David; Guibas,Leonidas,J; Memoli,Facundo; Oudot,Steve,Y, 2009, "Gromov-Hausdorff Stable Signatures for Shapes using Persistence." COMPUTER GRAPHICS FORUM 28, no. 5, 1393-1403 - 1393-1403.

2008

2007

  • Moenning, C.; Memoli, F.; Sapiro, G.; Dyn, N. et al., 2007, "Meshless geometric subdivision." GRAPHICAL MODELS 69, no. 3-4,

2005

  • Memoli, F.; Sapiro, G., 2005, "Distance functions and geodesics on submanifolds of R-d and point clouds." SIAM JOURNAL ON APPLIED MATHEMATICS 65, no. 4,
  • Memoli, F.; Sapiro, G., 2005, "A theoretical and computational framework for isometry invariant recognition of point cloud data." FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 5, no. 3,

2004

  • Memoli, F.; Sapiro, G.; Thomson, P., 2004, "Implicit Brain Imaging." NeuroImage 23,
  • Memoli, F.; Sapiro, G., 2004, "Solving variational problems and partial differential equations mapping into general target manifolds." JOURNAL OF COMPUTATIONAL PHYSICS 195, no. 1,

2001

  • Memoli, F.; Sapiro, G., 2001, "Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces." JOURNAL OF COMPUTATIONAL PHYSICS 173, no. 2,

Unknown

  • Cosmo, L.; Rodola, E.; Albarelli, A.; Memoli, F. et al., Consistent Partial Matching of Shape Collections via Sparse Modeling. COMPUTER GRAPHICS FORUM
  • Mémoli, F.; Smith, Z.; Wan, Z., "The Wasserstein transform."
  • Diaz, D.; Memoli, F.; Mio, W., "The Shape of Data and Probability Measures." Applied and Computational Harmonic Analysis
  • Dey, T.K.; Memoli, F.; Wang, Y., "Mutiscale Mapper: A Framework for Topological Summarization of Data and Maps."

Presentations

  • "The shape space defined by the Gromov-Wasserstein distance." 2014, Presented at University of Bologna Math seminar,
  • "Curvature sets over persistence diagrams." 2013, Presented at Topological Data Analysis,
  • "The shape space defined by the Gromov-Wasserstein distance." 2015, Presented at Infinite-dimensional Riemannian geometry with applications to image matching and shape analysis,
  • "Persistence diagrams of metric measure spaces." 2015, Presented at New trends in optimal transport,
  • "A spectral notion of distance between shapes." 2015, Presented at Center for Nonlinear Analysis Seminar. CMU,
  • "The Shape Space defined by the Gromov-Hausdorff distance." 2015, Presented at Geometry Seminar, Penn State,
  • "Curvature sets over persistence diagrams." 2014, Presented at Low dimensional structure on high dimensional data,
  • "The shape space defined by the Gromov-Wasserstein distance." 2014, Presented at University of Georgia Geometry Seminar,
  • "Classifying clustering schemes." 2014, Presented at Institute for Mathematics and its Applications workshop: Topological systems: communications, sensing, and actuation,
  • "A spectral notion of distance between shapes." 2014, Presented at ICIAM scientific workshop,
  • "The shape space defined by the Gromov-Wasserstein distance." 2014, Presented at European Research Council Workshop on Optimal Transportation,
  • "Metric Geometry and Data Analysis." 2014, Presented at Southeast Geometry Symposium,
  • "Lower bounds for the Gromov-Hausdorff distance using persistent topology." 2011, Presented at SIAM Conference on Applied Algebraic Geometry,
  • "The Gromov-Wasserstein distance and lower bounds." 2013, Presented at Discrete Curvature,
  • "L^p Gromov-Hausdorff distances for shape comparison." 2008, Presented at Workshop on the Geometry and Statistics of shapes -- The Hausdorff institute,
  • "Gromov-Wasserstein distances for shape matching and connections with other approaches." 2008, Presented at CEREMADE Paris - Dauphine seminar,
  • "Stability of clustering methods." 2008, Presented at Workshop on Computational Algebraic Topology: Mathematisches Forschinginstitut Oberwolfach,
  • "L^p Gromov-Hausdorff distances for shape matching." 2008, Presented at UCLA Applied Math Colloquium,
  • "Spectral Gromov-Wasserstein distances for shape matching and the role of scale." 2010, Presented at SIAM Imaging Science 2010,
  • "The classification of clustering schemes." 2011, Presented at Dagstuhl seminar on Mathematical and Computational Foundations of Learning Theory,
  • "Metric geometry in Data Analysis." 2011, Presented at CAIP 2011 -- 14th International conference on Computational Foundations of Learning Theory,
  • "Probability measures on persistence diagrams." 2015, Presented at IFIP 2015,
  • "Shape matching using L^p Gromov-Hausdorff distances." 2009, Presented at Computer Science department seminar. The Johns Hopkins University,
  • "Gromov-Wasserstein distances and object matching." 2009, Presented at CMLA seminar (Centre pour le Mathematique et leurs applications seminaire),
  • "Gromov-Wasserstein stable signatures for object matching and the role of persistence." 2009, Presented at Workshop on recent advances on topological and geometric data analysis.,
  • "A spectral notion of Gromov-Wasserstein distances." 2009, Presented at Yale Applied analysis seminar,
  • "The Gromov-Wasserstein distance and object matching." 2010, Presented at Center for Nonlinear Analysis seminar series, CMU,
  • "Metric geometry in shape analysis." 2010, Presented at AMS 2010 Fall Western section meeting,
  • "Some properties of Gromov-Hausdorff distances." 2012, Presented at Eight International conference on Mathematical Methods for Curves and Surfaces,
  • "Metric Geometry and Persistent Homology." 2012, Presented at ATMCS 2012 (Algebraic and Topological Methods in Computer Science),
  • "A metric geometry approach to object matching." 2009, Presented at Workshop on Data Analysis using Computational Topology and Geometric Statistics,
  • "Stability of Persistent Homology arising from Vietoris-Rips simplicial constructions." 2010, Presented at Topologia de Datos (Data Topology),
  • "Metric geometry for object matching." 2010, Presented at CVPR 2010,
  • "Some Metric Geometry ideas for Shape Matching." 2010, Presented at ACCV 2010 Area chair colloquium,
  • "Metric geometry in shape matching." 2010, Presented at NCSU - ECE Seminar,
  • "Persistent Homology and Metric Geometry." 2012, Presented at Banff workshop on Topological Data Analysis and Machine Learning,
  • "The classification of clustering methods I." 2014, Presented at Topology, Geometry, and Data Analysis seminar,
  • "The classification of clustering methods II." 2014, Presented at Topology, Geometry and Data Analysis Seminar,
  • "Some ideas for formalizing clustering schemes." 2009, Presented at NIPS 2009,
  • Persistent Homology of Finite Metric Spaces and its Stability. 2015, Presented at Encontro Regional de Topologia,
  • "The shape space defined by the Gromov-Wasserstein distance." 2015, Presented at Seminario de Geometria,
  • "Some metric geometry ideas for shape matching." 2009, Presented at Shape Focused Research Group Conference,
  • "The shape space defined by the Gromov-Wasserstein distance." 2012, Presented at Workshop on Geometry and Statistics in bioimaging: manifolds and stratified spaces,
  • "Curvature sets over persistence diagrams." 2012, Presented at Applied and Computational Topology,
  • "Spectral similarity of Shapes." 2014, Presented at Topology, Geometry and Data Analysis Seminar,
  • "Curvature set over persistence diagrams." 2013, Presented at Applied and Computational Topology,
  • "Multiscale Covariance Fields, Local Scales, and Shape Transforms." 2015, Presented at ICIAM 2015 (International congress on industrial and applied mathematics),
  • "Hierarchical clustering of asymmetric networks." Presented at Functoriality in Data Analysis,
  • "The classification of clustering schemes." Presented at The Geometry Luncheon Seminar, Penn State,
  • "Some properties of Gromov-Hausdorff distances." Presented at Shape Focused Research Group conference,
  • "Gromov-Hausdorff stable signatures for shapes using persistence." Presented at Simposium on Geometry Processing 2009,
  • "Characterization, stability, and convergence of hierarchical clustering methods." Presented at Statistics department seminar -- University of Washington,
  • Stable invariants for dynamic metric spaces. 2019, Presented at Geometric Data Analysis,
  • The Gromov-Wasserstein distance and distributional invariants of datasets. 2019, Presented at Oberwolfach workshop on Statistical and Computational aspects of learning,
  • Time dependent data, persistence, and stability. 2019, Presented at Topological data analysis with applications,
  • Metrics on the collection of dynamic shapes. 2018, Presented at Shape analysis, stochastic mechanics, and optimal transport,
  • "Stable signatures for dynamic graphs and dynamic metric spaces via zigzag persistence." 2018, Presented at Brazilian Topology Meeting,
  • Stable signatures for dynamic graphs and dynamic metric spaces via zigzag persistence. 2018, Presented at Abel symposium,
  • "Algebraic methods for characterizing dynamic networks." 2018, Presented at OSU-UPS joint Math conference,
  • Stable signatures for dynamic metric spaces via persistent homology. 2018, Presented at Oberwolfach seminar on Statistics for Data with Geometric Structure,
  • Analysis of dynamic networks via persistent homology. 2017, Presented at ICERM wokshop on Geometry and Topology of Data,
  • "Persistent homology of asymmetric networks." 2017, Presented at Encontro Regional de Topologia,
  • Persistent homology of asymmetric networks. 2017, Presented at Banff workshop on 'Topological data analysis: developing abstract foundations",
  • "Persistent homology of asymmetric networks." 2017, Presented at Foundations of Computational Mathematics Conference: Computational Geometry and Topology,
  • "Persistent homology of asymmetric networks." 2017, Presented at Workshop on Geometry and Shape Analysis in Biological Sciences,
  • "Persistent homology of asymmetric networks." 2017, Presented at CNA/Ki-Net workshop: dynamics and geometry from high dimensional data,
  • "Multiscale covariance fields and shape characterization in euclidean spaces." 2016, Presented at Mathematics of shapes and applications,
  • "Multiscale mapper: topological summarization via codomain covers." 2016, Presented at SIAM Imaging Sciences: Topology and Geometry across scales,
  • "Multiscale covariance fields and shape characterization in euclidean spaces." 2016, Presented at SIAM Imaging Sciences: Theoretical and computational aspects of shape analysis,
  • "Hierarchical clustering on asymmetric networks." 2015, Presented at IAS-Rutgers-UPenn workshop on topology: identifying order in complex systems,
  • Multiscale mapper: topological summarization via codomain covers. 2016, Presented at SODA 2016,

Papers in Proceedings

2019

  • Memoli Techera, F.; Wan, Z.; Smith, Z. The Wasserstein Transform. in Thirty-sixth International Conference on Machine Learning (ICML 2019). http://proceedings.mlr.press/v97/memoli19a.html, (1 2019).

2018

  • Kim, W.; Mémoli, F. "Formigrams: Clustering summaries of dynamic data." (1 2018).
  • Chowdhury, S.; Mémoli, F. Persistent path homology of directed networks. in SODA 2018. https://epubs.siam.org/doi/abs/10.1137/1.9781611975031.75, (1 2018).

2017

2016

2014

2013

  • Carlsson, G.; Memoli, F.; Ribeiro, A.; Segarra, S. "Hierarchical clustering methods and algorithms for asymmetric networks." in Asilomar. (11 2013).
  • Calrsson, G.; Memoli, F.; Ribeiro, A.; Segarra, S. "Axiomatic construction of hierarchical clustering on asymmetric networks." in ICASSP. (5 2013).

2011

2010

  • Carlsson, G.; Memoli, F. "Multiparameter hierarchical clustering methods." in 11th IFCS Biennial Conference and 33rd Annual Conference of the Gesellschaft für Klassifikation. (5 2010).
  • Carlsson, G.; Mémoli, F. Multiparameter hierarchical clustering methods. in The IFCS Biennial Conference 2009. https://link.springer.com/chapter/10.1007/978-3-642-10745-0_6, (12 2010).

2009

  • Memoli, F. "Spectral Gromov-Wasserstein distances for shape matching." in ICCV 2009. (12 2009).

2008

  • Memoli, F. "Gromov-Hausdorff distances on Euclidean Spaces." in Computer Vision and Pattern Recognition 2008. CVPR '08.. (12 2008).
  • Carlsson, G.; Memoli, F. Stability of Clustering methods. in Computational Algebraic Topology. Oberwolfach 2008. https://www.mfo.de/document/0827a/OWR_2008_29.pdf, (12 2008).

2007

  • Gurjeet Singh, Facundo Memoli, Gunnar Carlsson "Topological methods for the analysis of high dimensional datasets and 3d object recognition." in Point Based Graphics. (8 2007).
  • Facundo Memoli "On the use of the Gromov-Hausdorff distance for shape matching." in Eurographics Symposium on Point-Based Graphics. (8 2007).

2004

  • Memoli, F.; Sapiro, G. "Comparing Point Clouds." in Simposium on Geometry Processing. (12 2004).

Unknown

  • Tamal Dey, Facundo Memoli, Yusu Wang "Multiscale Mapper: An Algorithm for Topological Summarization via Codomain Covers .." in ACM-SIAM Symposium on Discrete Algorithms (SODA16).