Facundo Mémoli

Anastasios Stefanou

Order, August, 2024

Curvature Sets Over Persistence Diagrams.

[BibT_eX]

[DOI]

Mario Gómez

Discret. Comput. Geom., July, 2024

Extracting Persistent Clusters in Dynamic Data via Möbius Inversion.

[BibT_eX]

[DOI]

Discret. Comput. Geom., June, 2024

The Four Point Condition: An Elementary Tropicalization of Ptolemy's Inequality.

[BibT_eX]

[DOI]

Mario Gómez

Am. Math. Mon., March, 2024

Persistent cup product structures and related invariants.

[BibT_eX]

[DOI]

Anastasios Stefanou

Ling Zhou

J. Appl. Comput. Topol., March, 2024

Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and Its Applications.

[BibT_eX]

[DOI]

Discret. Comput. Geom., January, 2024

The Z-Gromov-Wasserstein Distance.

[BibT_eX]

[DOI]

CoRR, 2024

Geometry and Stability of Supervised Learning Problems.

[BibT_eX]

[DOI]

Brantley Vose

Robert C. Williamson

CoRR, 2024

2023

The Ultrametric Gromov-Wasserstein Distance.

[BibT_eX]

[DOI]

Discret. Comput. Geom., December, 2023

Distances and isomorphism between networks: stability and convergence of network invariants.

[BibT_eX]

[DOI]

J. Appl. Comput. Topol., June, 2023

The Gromov-Hausdor? distance between ultrametric spaces: its structure and computation.

[BibT_eX]

[DOI]

J. Comput. Geom., 2023

Sampling random graph homomorphisms and applications to network data analysis.

[BibT_eX]

[DOI]

Hanbaek Lyu

David Sivakoff

J. Mach. Learn. Res., 2023

The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs.

[BibT_eX]

[DOI]

Proceedings of the Topological, 2023

Ephemeral Persistence Features and the Stability of Filtered Chain Complexes.

[BibT_eX]

[DOI]

Ling Zhou

Proceedings of the 39th International Symposium on Computational Geometry, 2023

A Generalization of the Persistent Laplacian to Simplicial Maps.

[BibT_eX]

[DOI]

Proceedings of the 39th International Symposium on Computational Geometry, 2023

Meta-Diagrams for 2-Parameter Persistence.

[BibT_eX]

[DOI]

Proceedings of the 39th International Symposium on Computational Geometry, 2023

2022

Persistent Laplacians: Properties, Algorithms and Implications.

[BibT_eX]

[DOI]

SIAM J. Math. Data Sci., June, 2022

The discriminating power of the generalized rank invariant.

[BibT_eX]

[DOI]

Nate Clause

CoRR, 2022

Weisfeiler-Lehman Meets Gromov-Wasserstein.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Machine Learning, 2022

Persistent Cup-Length.

[BibT_eX]

[DOI]

Proceedings of the 38th International Symposium on Computational Geometry, 2022

2021

Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach.

[BibT_eX]

[DOI]

Santiago Segarra

SIAM J. Appl. Algebra Geom., 2021

Elder-Rule-Staircodes for Augmented Metric Spaces.

[BibT_eX]

[DOI]

SIAM J. Appl. Algebra Geom., 2021

Generalized persistence diagrams for persistence modules over posets.

[BibT_eX]

[DOI]

J. Appl. Comput. Topol., 2021

The Reeb Graph Edit Distance is Universal.

[BibT_eX]

[DOI]

Ulrich Bauer

Claudia Landi

Found. Comput. Math., 2021

Quantitative Simplification of Filtered Simplicial Complexes.

[BibT_eX]

[DOI]

Osman Berat Okutan

Discret. Comput. Geom., 2021

Spatiotemporal Persistent Homology for Dynamic Metric Spaces.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2021

The Gromov-Hausdorff distance between ultrametric spaces: its structure and computation.

[BibT_eX]

[DOI]

CoRR, 2021

The persistent cup-length invariant.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Reeb posets and tree approximations.

[BibT_eX]

[DOI]

Osman Berat Okutan

Discret. Math., 2020

The Gaussian Transform.

[BibT_eX]

[DOI]

Kun Jin

CoRR, 2020

Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius.

[BibT_eX]

[DOI]

Sunhyuk Lim

Osman Berat Okutan

CoRR, 2020

Motivic clustering schemes for directed graphs.

[BibT_eX]

[DOI]

Guilherme Vituri F. Pinto

CoRR, 2020

Metric Representations of Networks: A Uniqueness Result.

[BibT_eX]

[DOI]

Santiago Segarra

T. Mitchell Roddenberry

Alejandro Ribeiro

Proceedings of the 2020 IEEE International Conference on Acoustics, 2020

2019

A topological study of functional data and Fréchet functions of metric measure spaces.

[BibT_eX]

[DOI]

Haibin Hang

Washington Mio

J. Appl. Comput. Topol., 2019

The reflection distance between zigzag persistence modules.

[BibT_eX]

[DOI]

Alexander Elchesen

J. Appl. Comput. Topol., 2019

Persistent Homotopy Groups of Metric Spaces.

[BibT_eX]

[DOI]

Ling Zhou

CoRR, 2019

A Primer on Persistent Homology of Finite Metric Spaces.

[BibT_eX]

[DOI]

Kritika Singhal

CoRR, 2019

The Wasserstein Transform.

[BibT_eX]

[DOI]

Proceedings of the 36th International Conference on Machine Learning, 2019

2018

A functorial Dowker theorem and persistent homology of asymmetric networks.

[BibT_eX]

[DOI]

J. Appl. Comput. Topol., 2018

Stable Persistent Homology Features of Dynamic Metric Spaces.

[BibT_eX]

[DOI]

CoRR, 2018

Rank invariant for Zigzag Modules.

[BibT_eX]

[DOI]

CoRR, 2018

The Gromov-Wasserstein distance between networks and stable network invariants.

[BibT_eX]

[DOI]

CoRR, 2018

Sketching and Clustering Metric Measure Spaces.

[BibT_eX]

[DOI]

Anastasios Sidiropoulos

Kritika Singhal

CoRR, 2018

Quasimetric Embeddings and Their Applications.

[BibT_eX]

[DOI]

Anastasios Sidiropoulos

Vijay Sridhar

Algorithmica, 2018

Hierarchical clustering of asymmetric networks.

[BibT_eX]

[DOI]

Adv. Data Anal. Classif., 2018

Persistent Path Homology of Directed Networks.

[BibT_eX]

[DOI]

Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms, 2018

Formigrams: Clustering Summaries of Dynamic Data.

[BibT_eX]

[DOI]

Proceedings of the 30th Canadian Conference on Computational Geometry, 2018

2017

Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks.

[BibT_eX]

[DOI]

IEEE Trans. Signal Inf. Process. over Networks, 2017

Stable Signatures for Dynamic Metric Spaces via Zigzag Persistent Homology.

[BibT_eX]

[DOI]

CoRR, 2017

Distances and Isomorphism between Networks and the Stability of Network Invariants.

[BibT_eX]

[DOI]

CoRR, 2017

A Distance Between Filtered Spaces Via Tripods.

[BibT_eX]

[DOI]

CoRR, 2017

The Persistent Homotopy Type Distance.

[BibT_eX]

[DOI]

Patrizio Frosini

Claudia Landi

CoRR, 2017

Consistent Partial Matching of Shape Collections via Sparse Modeling.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2017

Topological Analysis of Nerves, Reeb Spaces, Mappers, and Multiscale Mappers.

[BibT_eX]

[DOI]

Proceedings of the 33rd International Symposium on Computational Geometry, 2017

2016

A Topological Model of the Hippocampal Cell Assembly Network.

[BibT_eX]

[DOI]

Frontiers Comput. Neurosci., 2016

Excisive Hierarchical Clustering Methods for Network Data.

[BibT_eX]

[DOI]

CoRR, 2016

Multiscale Mapper: Topological Summarization via Codomain Covers.

[BibT_eX]

[DOI]

Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, 2016

Improved Error Bounds for Tree Representations of Metric Spaces.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 29: Annual Conference on Neural Information Processing Systems 2016, 2016

Distances between directed networks and applications.

[BibT_eX]

[DOI]

Proceedings of the 2016 IEEE International Conference on Acoustics, 2016

Hierarchical representations of network data with optimal distortion bounds.

[BibT_eX]

[DOI]

Proceedings of the 50th Asilomar Conference on Signals, Systems and Computers, 2016

Persistent homology of directed networks.

[BibT_eX]

[DOI]

Proceedings of the 50th Asilomar Conference on Signals, Systems and Computers, 2016

2015

Mutiscale Mapper: A Framework for Topological Summarization of Data and Maps.

[BibT_eX]

[DOI]

CoRR, 2015

Metric structures on networks and applications.

[BibT_eX]

[DOI]

Proceedings of the 53rd Annual Allerton Conference on Communication, 2015

2014

The Gromov-Wasserstein Distance: A Brief Overview.

[BibT_eX]

[DOI]

Axioms, 2014

Hierarchical Quasi-Clustering Methods for Asymmetric Networks.

[BibT_eX]

[DOI]

Proceedings of the 31th International Conference on Machine Learning, 2014

2013

Classifying Clustering Schemes.

[BibT_eX]

[DOI]

Found. Comput. Math., 2013

Axiomatic construction of hierarchical clustering in asymmetric networks.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2013

Multiscale Covariance Fields, Local Scales, and Shape Transforms.

[BibT_eX]

[DOI]

Diego H. Diaz Martinez

Washington Mio

Proceedings of the Geometric Science of Information - First International Conference, 2013

Alternative axiomatic constructions for hierarchical clustering of asymmetric networks.

[BibT_eX]

[DOI]

Proceedings of the IEEE Global Conference on Signal and Information Processing, 2013

Hierarchical clustering methods and algorithms for asymmetric networks.

[BibT_eX]

[DOI]

Proceedings of the 2013 Asilomar Conference on Signals, 2013

2012

A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology.

[BibT_eX]

[DOI]

PLoS Comput. Biol., 2012

Some Properties of Gromov-Hausdorff Distances.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2012

2011

Gromov-Wasserstein Distances and the Metric Approach to Object Matching.

[BibT_eX]

[DOI]

Found. Comput. Math., 2011

Metric Structures on Datasets: Stability and Classification of Algorithms.

[BibT_eX]

[DOI]

Proceedings of the Computer Analysis of Images and Patterns, 2011

2010

Characterization, Stability and Convergence of Hierarchical Clustering Methods.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2010

One Point Isometric Matching with the Heat Kernel.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2010

2009

Gromov-Hausdorff Stable Signatures for Shapes using Persistence.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2009

Spectral Gromov-Wasserstein distances for shape matching.

[BibT_eX]

[DOI]

Proceedings of the 12th IEEE International Conference on Computer Vision Workshops, 2009

2008

Gromov-Hausdorff distances in Euclidean spaces.

[BibT_eX]

[DOI]

Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2008

2007

Meshless geometric subdivision.

[BibT_eX]

[DOI]

Graph. Model., 2007

Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition.

[BibT_eX]

[DOI]

Gurjeet Singh

Proceedings of the 4th Symposium on Point Based Graphics, 2007

On the use of Gromov-Hausdorff Distances for Shape Comparison.

[BibT_eX]

[DOI]

Proceedings of the 4th Symposium on Point Based Graphics, 2007

2006

Computing with Point Cloud Data.

[BibT_eX]

[DOI]

Proceedings of the Statistics and Analysis of Shapes, 2006

2005

Distance Functions and Geodesics on Submanifolds of R<sup>d</sup> and Point Clouds.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2005

A Theoretical and Computational Framework for Isometry Invariant Recognition of Point Cloud Data.

[BibT_eX]

[DOI]

Found. Comput. Math., 2005

2004

Comparing Point Clouds.

[BibT_eX]

[DOI]