Frédéric Chazal

Bertrand Michel

Frontiers Artif. Intell., 2021

Identifying homogeneous subgroups of patients and important features: a topological machine learning approach.

[BibT_eX]

[DOI]

BMC Bioinform., 2021

Topological Uncertainty: Monitoring Trained Neural Networks through Persistence of Activation Graphs.

[BibT_eX]

[DOI]

Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence, 2021

Optimizing persistent homology based functions.

[BibT_eX]

[DOI]

Proceedings of the 38th International Conference on Machine Learning, 2021

ATOL: Measure Vectorization for Automatic Topologically-Oriented Learning.

[BibT_eX]

[DOI]

Proceedings of the 24th International Conference on Artificial Intelligence and Statistics, 2021

2020

A note on stochastic subgradient descent for persistence-based functionals: convergence and practical aspects.

[BibT_eX]

[DOI]

CoRR, 2020

Efficient Topological Layer based on Persistent Landscapes.

[BibT_eX]

[DOI]

CoRR, 2020

PLLay: Efficient Topological Layer based on Persistent Landscapes.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

Homotopy Reconstruction via the Cech Complex and the Vietoris-Rips Complex.

[BibT_eX]

[DOI]

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

Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space.

[BibT_eX]

[DOI]

Alex Delalande

Proceedings of the 23rd International Conference on Artificial Intelligence and Statistics, 2020

PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures.

[BibT_eX]

[DOI]

Proceedings of the 23rd International Conference on Artificial Intelligence and Statistics, 2020

Topological Data Analysis for Arrhythmia Detection Through Modular Neural Networks.

[BibT_eX]

[DOI]

Meryll Dindin

Yuhei Umeda

Proceedings of the Advances in Artificial Intelligence, 2020

2019

Robust Stride Detector from Ankle-Mounted Inertial Sensors for Pedestrian Navigation and Activity Recognition with Machine Learning Approaches.

[BibT_eX]

[DOI]

Sensors, 2019

The density of expected persistence diagrams and its kernel based estimation.

[BibT_eX]

[DOI]

Vincent Divol

J. Comput. Geom., 2019

ATOL: Automatic Topologically-Oriented Learning.

[BibT_eX]

[DOI]

CoRR, 2019

A General Neural Network Architecture for Persistence Diagrams and Graph Classification.

[BibT_eX]

[DOI]

CoRR, 2019

Robust pedestrian trajectory reconstruction from inertial sensor.

[BibT_eX]

[DOI]

Proceedings of the 2019 International Conference on Indoor Positioning and Indoor Navigation, 2019

DTM-Based Filtrations.

[BibT_eX]

[DOI]

Proceedings of the 35th International Symposium on Computational Geometry, 2019

2018

On the Stability of Functional Maps and Shape Difference Operators.

[BibT_eX]

[DOI]

Ruqi Huang

Maks Ovsjanikov

Comput. Graph. Forum, 2018

2017

Robust Topological Inference: Distance To a Measure and Kernel Distance.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2017

Functoriality in Geometric Data (Dagstuhl Seminar 17021).

[BibT_eX]

[DOI]

Dagstuhl Reports, 2017

Stride detection for pedestrian trajectory reconstruction: A machine learning approach based on geometric patterns.

[BibT_eX]

[DOI]

Proceedings of the 2017 International Conference on Indoor Positioning and Indoor Navigation, 2017

2016

Efficient and robust persistent homology for measures.

[BibT_eX]

[DOI]

Comput. Geom., 2016

Computing and processing correspondences with functional maps.

[BibT_eX]

[DOI]

Alexander M. Bronstein

Proceedings of the SIGGRAPH ASIA 2016, Macao, December 5-8, 2016 - Courses, 2016

Data driven estimation of Laplace-Beltrami operator.

[BibT_eX]

[DOI]

Ilaria Giulini

Bertrand Michel

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

Persistence-Based Pooling for Shape Pose Recognition.

[BibT_eX]

[DOI]

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

The Structure and Stability of Persistence Modules.

[BibT_eX]

[DOI]

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

2015

Discrete Derivatives of Vector Fields on Surfaces - An Operator Approach.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2015

Stochastic convergence of persistence landscapes and silhouettes.

[BibT_eX]

[DOI]

J. Comput. Geom., 2015

Convergence rates for persistence diagram estimation in topological data analysis.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2015

Gromov-Hausdorff Approximation of Filamentary Structures Using Reeb-Type Graphs.

[BibT_eX]

[DOI]

Ruqi Huang

Jian Sun

Discret. Comput. Geom., 2015

Rates of convergence for robust geometric inference.

[BibT_eX]

[DOI]

Pascal Massart

Bertrand Michel

CoRR, 2015

Subsampling Methods for Persistent Homology.

[BibT_eX]

[DOI]

Proceedings of the 32nd International Conference on Machine Learning, 2015

Topological Analysis of Scalar Fields with Outliers.

[BibT_eX]

[DOI]

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

2014

Persistence-Based Structural Recognition.

[BibT_eX]

[DOI]

Chunyuan Li

Maks Ovsjanikov

Proceedings of the 2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014

Gromov-Hausdorff Approximation of Filament Structure Using Reeb-type Graph.

[BibT_eX]

[DOI]

Jian Sun

Proceedings of the 30th Annual Symposium on Computational Geometry, 2014

2013

Map-based exploration of intrinsic shape differences and variability.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2013

Persistence-Based Clustering in Riemannian Manifolds.

[BibT_eX]

[DOI]

J. ACM, 2013

Optimal rates of convergence for persistence diagrams in Topological Data Analysis

[BibT_eX]

[DOI]

CoRR, 2013

Gromov-Hausdorff Approximation of Metric Spaces with Linear Structure

[BibT_eX]

[DOI]

Jian Sun

CoRR, 2013

On the Bootstrap for Persistence Diagrams and Landscapes.

[BibT_eX]

[DOI]

CoRR, 2013

Efficient and Robust Topological Data Analysis on Metric Spaces.

[BibT_eX]

[DOI]

CoRR, 2013

Analysis and Visualization of Maps Between Shapes.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2013

An Operator Approach to Tangent Vector Field Processing.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2013

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

[BibT_eX]

[DOI]

Steve Y. Oudot

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

Deconvolution for the Wasserstein Metric and Geometric Inference.

[BibT_eX]

[DOI]

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

2012

Metric Graph Reconstruction from noisy Data.

[BibT_eX]

[DOI]

Int. J. Comput. Geom. Appl., 2012

Persistence stability for geometric complexes

[BibT_eX]

[DOI]

Vin de Silva

Steve Oudot

CoRR, 2012

The structure and stability of persistence modules

[BibT_eX]

[DOI]

CoRR, 2012

Computing well diagrams for vector fields on Rn.

[BibT_eX]

[DOI]

Primoz Skraba

Amit Patel

Appl. Math. Lett., 2012

2011

Geometric Inference for Probability Measures.

[BibT_eX]

[DOI]

Found. Comput. Math., 2011

Scalar Field Analysis over Point Cloud Data.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2011

Data-driven trajectory smoothing.

[BibT_eX]

[DOI]

Proceedings of the 19th ACM SIGSPATIAL International Symposium on Advances in Geographic Information Systems, 2011

2010

Ball-Map: Homeomorphism between Compatible Surfaces.

[BibT_eX]

[DOI]

Int. J. Comput. Geom. Appl., 2010

Boundary Measures for Geometric Inference.

[BibT_eX]

[DOI]

Found. Comput. Math., 2010

Persistence-based segmentation of deformable shapes.

[BibT_eX]

[DOI]

Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2010

2009

A Sampling Theory for Compact Sets in Euclidean Space.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2009

Normal cone approximation and offset shape isotopy.

[BibT_eX]

[DOI]

Comput. Geom., 2009

Discrete Critical Values: a General Framework for Silhouettes Computation.

[BibT_eX]

[DOI]

N. Montana

Comput. Graph. Forum, 2009

Stability of Curvature Measures.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 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

Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees.

[BibT_eX]

[DOI]

Comput. Geom., 2008

Towards persistence-based reconstruction in euclidean spaces.

[BibT_eX]

[DOI]

Steve Oudot

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

2007

Normal-Map between Normal-Compatible Manifolds.

[BibT_eX]

[DOI]

Jarek Rossignac

Int. J. Comput. Geom. Appl., 2007

Stability and Computation of Topological Invariants of Solids in \Bbb Rn.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2007

Stability of boundary measures

[BibT_eX]

[DOI]

CoRR, 2007

Shape smoothing using double offsets.

[BibT_eX]

[DOI]

Proceedings of the 2007 ACM Symposium on Solid and Physical Modeling, 2007

2006

Topology guaranteeing manifold reconstruction using distance function to noisy data.

[BibT_eX]

[DOI]

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

2005

The "lambda-medial axis".

[BibT_eX]

[DOI]

Graph. Model., 2005

A condition for isotopic approximation.

[BibT_eX]

[DOI]

Graph. Model., 2005

Projection-homeomorphic surfaces.

[BibT_eX]

[DOI]

Jarek Rossignac

Proceedings of the Tenth ACM Symposium on Solid and Physical Modeling 2005, 2005

Weak feature size and persistent homology: computing homology of solids in Rn from noisy data samples.

[BibT_eX]

[DOI]

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

2004

Statistical properties of general Markov dynamical sources: applications to information theory.

[BibT_eX]

[DOI]

Véronique Maume-Deschamps

Discret. Math. Theor. Comput. Sci., 2004

Erratum to 'Dynamical Sources in Information Theory: Fundamental Intervals and Word Prefixes'.

[BibT_eX]

[DOI]

Véronique Maume-Deschamps

Brigitte Vallée

Algorithmica, 2004

Stability and homotopy of a subset of the medial axis.

[BibT_eX]

[DOI]

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

2003

Molecular shape analysis based upon the morse-smale complex and the connolly function.

[BibT_eX]

[DOI]

Frédéric Cazals