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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

  • 2006. "Computing with Point Cloud Data." In Statistics and Analysis of Shapes (Modeling and Simulation in Science, Engineering and Tech- nology),

2002

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

Journal Articles

2014

  • Facundo Memoli, 2014, "The Gromov-Wasserstein distance: a brief overview." Axioms 3, 335-341 - 335-341.

2013

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

2012

  • 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, e1002581 - e1002581.

2011

  • Memoli,Facundo, 2011, "Gromov-Wasserstein Distances and the Metric Approach to Object Matching." FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 11, no. 4, 417-487 - 417-487.
  • Memoli,Facundo, 2011, "A spectral notion of Gromov-Wasserstein distance and related methods." APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 30, no. 3, 363-401 - 363-401.

2010

  • Ovsjanikov,Maks; Merigot,Quentin; Memoli,Facundo; Guibas,Leonidas, 2010, "One Point Isometric Matching with the Heat Kernel." COMPUTER GRAPHICS FORUM 29, no. 5, 1555-1564 - 1555-1564.
  • Carlsson,Gunnar; Memoli,Facundo, 2010, "Characterization, Stability and Convergence of Hierarchical Clustering Methods." JOURNAL OF MACHINE LEARNING RESEARCH 11, 1425-1470 - 1425-1470.

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

  • Singh,Gurjeet; Memoli,Facundo; Ishkhanov,Tigran; Sapiro,Guillermo; Carlsson,Gunnar; Ringach,Dario,L, 2008, "Topological analysis of population activity in visual cortex." JOURNAL OF VISION 8, no. 8, 11 - 11.

2007

  • Moenning,C; Memoli,F; Sapiro,G; Dyn,N; Dodgson,N,A, 2007, "Meshless geometric subdivision." GRAPHICAL MODELS 69, no. 3-4, 160-179 - 160-179.

2005

  • 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, 313-347 - 313-347.
  • 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, 1227-1260 - 1227-1260.

2004

  • Facundo Memoli, Guillermo Sapiro, Paul Thompson, 2004, "Implicit Brain Imaging." NeuroImage 23, 179-188 - 179-188.
  • Memoli,F; Sapiro,G; Osher,S, 2004, "Solving variational problems and partial differential equations mapping into general target manifolds." JOURNAL OF COMPUTATIONAL PHYSICS 195, no. 1, 263-292 - 263-292.

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, 730-764 - 730-764.

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,
  • "Hierarchical clustering of asymmetric networks." 2015, Presented at Functoriality in Data Analysis,
  • "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,
  • "The classification of clustering schemes." 2015, Presented at The Geometry Luncheon 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,
  • "Characterization, stability, and convergence of hierarchical clustering methods." 2010, Presented at Statistics department seminar -- University of Washington,
  • "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,
  • "Some properties of Gromov-Hausdorff distances." 2011, Presented at Shape Focused Research Group conference,
  • "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.,
  • "Gromov-Hausdorff stable signatures for shapes using persistence." 2009, Presented at Simposium on Geometry Processing 2009,
  • "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),

Papers in Proceedings

2014

  • Diego Diaz Martinez, Facundo Memoli, Washington Mio "Multiscale Covariance Fields, Local Scales, and Shape Transforms." in Geometric Science of Information. (1 2014).
  • Gunnar Carlsson, Facundo Memoli, Alejandro Ribeiro, Santiago Segarra "Hierarchical quasi-clustering methods for asymmetric networks." in International conference on Machine Learning. (7 2014).

2013

  • Gunnar Carlsson, Facundo Memoli, Alejandro Ribeiro, Santiago Segarra. "Axiomatic construction of hierarchical clustering on asymmetric networks." (5 2013).
  • Gunnar Calrsson, Facundo Memoli, Alejandro Ribeiro, Santiago Segarra "Alternative Axiomatic constructions for hierarchical clustering of asymmetric networks." (12 2013).
  • Gunnar Carlsson, Facundo Memoli, Alejandro Ribeiro, Santiago Segarra. "Hierarchical clustering methods and algorithms for asymmetric networks." (11 2013).

2011

2010

  • Gunnar Carlsson, Facundo Memoli "Multiparameter hierarchical clustering methods." in 11th IFCS Biennial Conference and 33rd Annual Conference of the Gesellschaft für Klassifikation. (5 2010).

2009

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

2008

  • Carlsson, G.; Memoli, F. "Stability of Clustering methods." in ICCV workshop on Non-rigid Shape Analysis and Deformable Image Alignment. (12 2008).
  • Facundo Memoli "Gromov-Hausdorff distances on Euclidean Spaces." in Computer Vision and Pattern Recognition 2008. CVPR '08.. (12 2008).
  • Gunnar Carlsson Facundo Memoli "Stability of Clustering methods." in ICCV workshop on Non-rigid Shape Analysis and Deformable Image Alignment. (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

  • Facundo Memoli, Guillermo Sapiro "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).
  • Samir Chowdhury, Facundo Memoli "Distances between directed networks and applications." in ICASSP.
  • Samir Chowdhury, Facundo Memoli "Metric structures on networks and applications." in 53rd Annual Allerton Conference on Communication, Control, and Computing.