Steve Oudot

Luis Scoccola

SIAM J. Appl. Algebra Geom., March, 2024

2023

A gradient sampling algorithm for stratified maps with applications to topological data analysis.

[BibT_eX]

[DOI]

Math. Program., November, 2023

Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

2022

A Framework for Differential Calculus on Persistence Barcodes.

[BibT_eX]

[DOI]

Jacob Leygonie

Ulrike Tillmann

Found. Comput. Math., 2022

On Rectangle-Decomposable 2-Parameter Persistence Modules.

[BibT_eX]

[DOI]

Magnus Bakke Botnan

Vadim Lebovici

Discret. Comput. Geom., 2022

On the bottleneck stability of rank decompositions of multi-parameter persistence modules.

[BibT_eX]

[DOI]

CoRR, 2022

Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions.

[BibT_eX]

[DOI]

Magnus Bakke Botnan

Steffen Oppermann

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

2021

Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions.

[BibT_eX]

[DOI]

Magnus Bakke Botnan

Steffen Oppermann

CoRR, 2021

2020

Exact computation of the matching distance on 2-parameter persistence modules.

[BibT_eX]

[DOI]

Michael Kerber

Michael Lesnick

J. Comput. Geom., 2020

Decomposition of Exact pfd Persistence Bimodules.

[BibT_eX]

[DOI]

Jérémy Cochoy

Discret. Comput. Geom., 2020

Intrinsic Topological Transforms via the Distance Kernel Embedding.

[BibT_eX]

[DOI]

Clément Maria

Elchanan Solomon

Proceedings of the 36th International Symposium on Computational Geometry, 2020

2019

Intrinsic Interleaving Distance for Merge Trees.

[BibT_eX]

[DOI]

CoRR, 2019

Level-sets persistence and sheaf theory.

[BibT_eX]

[DOI]

Nicolas Berkouk

Grégory Ginot

CoRR, 2019

Two-Tier Mapper, an unbiased topology-based clustering method for enhanced global gene expression analysis.

[BibT_eX]

[DOI]

Bioinform., 2019

2018

A fuzzy clustering algorithm for the mode-seeking framework.

[BibT_eX]

[DOI]

Thomas Bonis

Pattern Recognit. Lett., 2018

Statistical Analysis and Parameter Selection for Mapper.

[BibT_eX]

[DOI]

Bertrand Michel

J. Mach. Learn. Res., 2018

Structure and Stability of the One-Dimensional Mapper.

[BibT_eX]

[DOI]

Found. Comput. Math., 2018

Inverse Problems in Topological Persistence.

[BibT_eX]

[DOI]

Elchanan Solomon

CoRR, 2018

Large Scale computation of Means and Clusters for Persistence Diagrams using Optimal Transport.

[BibT_eX]

[DOI]

Théo Lacombe

Marco Cuturi

Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

2017

Only distances are required to reconstruct submanifolds.

[BibT_eX]

[DOI]

Ramsay Dyer

Arijit Ghosh

Comput. Geom., 2017

Sliced Wasserstein Kernel for Persistence Diagrams.

[BibT_eX]

[DOI]

Marco Cuturi

Proceedings of the 34th International Conference on Machine Learning, 2017

Local Equivalence and Intrinsic Metrics between Reeb Graphs.

[BibT_eX]

[DOI]

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

2016

Computing Zigzag Persistent Cohomology.

[BibT_eX]

[DOI]

Clément Maria

CoRR, 2016

Efficient and robust persistent homology for measures.

[BibT_eX]

[DOI]

Comput. Geom., 2016

Persistence-Based Pooling for Shape Pose Recognition.

[BibT_eX]

[DOI]

Proceedings of the Computational Topology in Image Context - 6th International Workshop, 2016

Structure and Stability of the 1-Dimensional Mapper.

[BibT_eX]

[DOI]

Proceedings of the 32nd International Symposium on Computational Geometry, 2016

The Structure and Stability of Persistence Modules.

[BibT_eX]

[DOI]

Springer Briefs in Mathematics, Springer, ISBN: 978-3-319-42543-6, 2016

2015

Zigzag Zoology: Rips Zigzags for Homology Inference.

[BibT_eX]

[DOI]

Donald R. Sheehy

Found. Comput. Math., 2015

Stable Topological Signatures for Points on 3D Shapes.

[BibT_eX]

[DOI]

Maks Ovsjanikov

Comput. Graph. Forum, 2015

Zigzag Persistence via Reflections and Transpositions.

[BibT_eX]

[DOI]

Clément Maria

Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms, 2015

Topological Analysis of Scalar Fields with Outliers.

[BibT_eX]

[DOI]

Proceedings of the 31st International Symposium on Computational Geometry, 2015

Persistence Theory - From Quiver Representations to Data Analysis.

[BibT_eX]

[DOI]

Mathematical surveys and monographs 209, American Mathematical Society, ISBN: 978-1-4704-2545-6, 2015

2013

Persistence-Based Clustering in Riemannian Manifolds.

[BibT_eX]

[DOI]

J. ACM, 2013

Guest Editors' Foreword.

[BibT_eX]

[DOI]

Tamal K. Dey

Discret. Comput. Geom., 2013

Efficient and Robust Topological Data Analysis on Metric Spaces.

[BibT_eX]

[DOI]

CoRR, 2013

Interleaved Filtrations: Theory and Applications in Point Cloud Data Analysis.

[BibT_eX]

[DOI]

Frédéric Chazal

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

2012

Persistence stability for geometric complexes

[BibT_eX]

[DOI]

Frédéric Chazal

Vin de Silva

CoRR, 2012

The structure and stability of persistence modules

[BibT_eX]

[DOI]

CoRR, 2012

2011

Scalar Field Analysis over Point Cloud Data.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2011

2010

Geodesic delaunay triangulations in bounded planar domains.

[BibT_eX]

[DOI]

ACM Trans. Algorithms, 2010

Meshing volumes with curved boundaries.

[BibT_eX]

[DOI]

Laurent Rineau

Mariette Yvinec

Eng. Comput., 2010

Reverse Nearest Neighbors Search in High Dimensions using Locality-Sensitive Hashing

[BibT_eX]

[DOI]

David Arthur

CoRR, 2010

Topological inference via meshing.

[BibT_eX]

[DOI]

Proceedings of the 26th ACM Symposium on Computational Geometry, 2010

2009

Manifold Reconstruction in Arbitrary Dimensions Using Witness Complexes.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2009

Gromov-Hausdorff Stable Signatures for Shapes using Persistence.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2009

Analysis of scalar fields over point cloud data.

[BibT_eX]

[DOI]

Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2009

Proximity of persistence modules and their diagrams.

[BibT_eX]

[DOI]

Proceedings of the 25th ACM Symposium on Computational Geometry, 2009

2008

Reconstruction Using Witness Complexes.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2008

On the Topology of the Restricted Delaunay Triangulation and Witness Complex in Higher Dimensions

[BibT_eX]

[DOI]

CoRR, 2008

Geodesic Delaunay triangulation and witness complex in the plane.

[BibT_eX]

[DOI]

Proceedings of the Nineteenth Annual ACM-SIAM Symposium on Discrete Algorithms, 2008

Towards persistence-based reconstruction in euclidean spaces.

[BibT_eX]

[DOI]

Frédéric Chazal

Proceedings of the 24th ACM Symposium on Computational Geometry, 2008

2007

Learning smooth shapes by probing.

[BibT_eX]

[DOI]

Comput. Geom., 2007

2006

Provably good sampling and meshing of Lipschitz surfaces.

[BibT_eX]

[DOI]

Proceedings of the 22nd ACM Symposium on Computational Geometry, 2006

2005

Sampling and Meshing Surfaces with Guarantees. (Échantillonnage et maillage de surfaces avec garanties).

[BibT_eX]

[DOI]

PhD thesis, 2005

Provably good sampling and meshing of surfaces.

[BibT_eX]

[DOI]

Graph. Model., 2005

Meshing Volumes Bounded by Smooth Surfaces.

[BibT_eX]

[DOI]

Laurent Rineau

Mariette Yvinec

Proceedings of the 14th International Meshing Roundtable, 2005

Learning smooth objects by probing.

[BibT_eX]

[DOI]

Proceedings of the 21st ACM Symposium on Computational Geometry, 2005

2004

An effective condition for sampling surfaces with guarantees.

[BibT_eX]

[DOI]

Proceedings of the Ninth ACM Symposium on Solid Modeling and Applications, 2004

2003

Provably Good Surface Sampling and Approximation.

[BibT_eX]

[DOI]