Frédéric Chazal

According to our database1, Frédéric Chazal authored at least 77 papers between 2003 and 2021.

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Bibliography

2021
Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs.
CoRR, 2021

Optimizing persistent homology based functions.
Proceedings of the 38th International Conference on Machine Learning, 2021

ATOL: Measure Vectorization for Automatic Topologically-Oriented Learning.
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.
CoRR, 2020

Efficient Topological Layer based on Persistent Landscapes.
CoRR, 2020

PLLay: Efficient Topological Layer based on Persistent Landscapes.
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.
Proceedings of the 36th International Symposium on Computational Geometry, 2020

Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space.
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.
Proceedings of the 23rd International Conference on Artificial Intelligence and Statistics, 2020

Topological Data Analysis for Arrhythmia Detection Through Modular Neural Networks.
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.
Sensors, 2019

The density of expected persistence diagrams and its kernel based estimation.
J. Comput. Geom., 2019

ATOL: Automatic Topologically-Oriented Learning.
CoRR, 2019

A General Neural Network Architecture for Persistence Diagrams and Graph Classification.
CoRR, 2019

Robust pedestrian trajectory reconstruction from inertial sensor.
Proceedings of the 2019 International Conference on Indoor Positioning and Indoor Navigation, 2019

DTM-Based Filtrations.
Proceedings of the 35th International Symposium on Computational Geometry, 2019

2018
On the Stability of Functional Maps and Shape Difference Operators.
Comput. Graph. Forum, 2018

2017
Robust Topological Inference: Distance To a Measure and Kernel Distance.
J. Mach. Learn. Res., 2017

Functoriality in Geometric Data (Dagstuhl Seminar 17021).
Dagstuhl Reports, 2017

An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists.
CoRR, 2017

Computing and processing correspondences with functional maps.
Proceedings of the Special Interest Group on Computer Graphics and Interactive Techniques Conference, 2017

Stride detection for pedestrian trajectory reconstruction: A machine learning approach based on geometric patterns.
Proceedings of the 2017 International Conference on Indoor Positioning and Indoor Navigation, 2017

2016
Efficient and robust persistent homology for measures.
Comput. Geom., 2016

Data driven estimation of Laplace-Beltrami operator.
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.
Proceedings of the Computational Topology in Image Context - 6th International Workshop, 2016

The Structure and Stability of Persistence Modules.
Springer Briefs in Mathematics, Springer, ISBN: 978-3-319-42543-6, 2016

2015
Discrete Derivatives of Vector Fields on Surfaces - An Operator Approach.
ACM Trans. Graph., 2015

Stochastic convergence of persistence landscapes and silhouettes.
J. Comput. Geom., 2015

Convergence rates for persistence diagram estimation in topological data analysis.
J. Mach. Learn. Res., 2015

Gromov-Hausdorff Approximation of Filamentary Structures Using Reeb-Type Graphs.
Discret. Comput. Geom., 2015

Rates of convergence for robust geometric inference.
CoRR, 2015

Subsampling Methods for Persistent Homology.
Proceedings of the 32nd International Conference on Machine Learning, 2015

Topological Analysis of Scalar Fields with Outliers.
Proceedings of the 31st International Symposium on Computational Geometry, 2015

2014
Persistence-Based Structural Recognition.
Proceedings of the 2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014

Gromov-Hausdorff Approximation of Filament Structure Using Reeb-type Graph.
Proceedings of the 30th Annual Symposium on Computational Geometry, 2014

2013
Map-based exploration of intrinsic shape differences and variability.
ACM Trans. Graph., 2013

Persistence-Based Clustering in Riemannian Manifolds.
J. ACM, 2013

Optimal rates of convergence for persistence diagrams in Topological Data Analysis
CoRR, 2013

Gromov-Hausdorff Approximation of Metric Spaces with Linear Structure
CoRR, 2013

On the Bootstrap for Persistence Diagrams and Landscapes.
CoRR, 2013

Efficient and Robust Topological Data Analysis on Metric Spaces.
CoRR, 2013

Analysis and Visualization of Maps Between Shapes.
Comput. Graph. Forum, 2013

An Operator Approach to Tangent Vector Field Processing.
Comput. Graph. Forum, 2013

Interleaved Filtrations: Theory and Applications in Point Cloud Data Analysis.
Proceedings of the Geometric Science of Information - First International Conference, 2013

Deconvolution for the Wasserstein Metric and Geometric Inference.
Proceedings of the Geometric Science of Information - First International Conference, 2013

2012
Metric Graph Reconstruction from noisy Data.
Int. J. Comput. Geom. Appl., 2012

Persistence stability for geometric complexes
CoRR, 2012

The structure and stability of persistence modules
CoRR, 2012

Computing well diagrams for vector fields on R<sup>n</sup>.
Appl. Math. Lett., 2012

2011
Geometric Inference for Probability Measures.
Found. Comput. Math., 2011

Scalar Field Analysis over Point Cloud Data.
Discret. Comput. Geom., 2011

Data-driven trajectory smoothing.
Proceedings of the 19th ACM SIGSPATIAL International Symposium on Advances in Geographic Information Systems, 2011

2010
Ball-Map: Homeomorphism between Compatible Surfaces.
Int. J. Comput. Geom. Appl., 2010

Boundary Measures for Geometric Inference.
Found. Comput. Math., 2010

Persistence-based segmentation of deformable shapes.
Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2010

2009
A Sampling Theory for Compact Sets in Euclidean Space.
Discret. Comput. Geom., 2009

Normal cone approximation and offset shape isotopy.
Comput. Geom., 2009

Discrete Critical Values: a General Framework for Silhouettes Computation.
Comput. Graph. Forum, 2009

Stability of Curvature Measures.
Comput. Graph. Forum, 2009

Gromov-Hausdorff Stable Signatures for Shapes using Persistence.
Comput. Graph. Forum, 2009

Analysis of scalar fields over point cloud data.
Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2009

Proximity of persistence modules and their diagrams.
Proceedings of the 25th ACM Symposium on Computational Geometry, 2009

2008
Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees.
Comput. Geom., 2008

Towards persistence-based reconstruction in euclidean spaces.
Proceedings of the 24th ACM Symposium on Computational Geometry, 2008

2007
Normal-Map between Normal-Compatible Manifolds.
Int. J. Comput. Geom. Appl., 2007

Stability and Computation of Topological Invariants of Solids in \Bbb <i>R</i><sup><i>n</i></sup>.
Discret. Comput. Geom., 2007

Stability of boundary measures
CoRR, 2007

Shape smoothing using double offsets.
Proceedings of the 2007 ACM Symposium on Solid and Physical Modeling, 2007

2006
Topology guaranteeing manifold reconstruction using distance function to noisy data.
Proceedings of the 22nd ACM Symposium on Computational Geometry, 2006

2005
The "<i>lambda</i>-medial axis".
Graph. Model., 2005

A condition for isotopic approximation.
Graph. Model., 2005

Projection-homeomorphic surfaces.
Proceedings of the Tenth ACM Symposium on Solid and Physical Modeling 2005, 2005

Weak feature size and persistent homology: computing homology of solids in R<sup>n</sup> from noisy data samples.
Proceedings of the 21st ACM Symposium on Computational Geometry, 2005

2004
Statistical properties of general Markov dynamical sources: applications to information theory.
Discret. Math. Theor. Comput. Sci., 2004

Erratum to 'Dynamical Sources in Information Theory: Fundamental Intervals and Word Prefixes'.
Algorithmica, 2004

Stability and homotopy of a subset of the medial axis.
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.
Proceedings of the 19th ACM Symposium on Computational Geometry, 2003


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