Frédéric Chazal

发表

A Sampling Theory for Compact Sets in Euclidean Space

Frédéric Chazal, David Cohen-Steiner, André Lieutier, 2006, SCG '06.

Software - CULT, the Computational Unified Library for Topology

Steve Oudot, Jean-Daniel Boissonnat, Frédéric Chazal, 2009 .

Topology guaranteeing manifold reconstruction using distance function to noisy data

Frédéric Chazal, André Lieutier, F. Chazal, 2006, SCG '06.

Geometric Inference for Measures based on Distance Functions

Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot, 2011 .

Geometric Inference for Probability Measures

Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot, 2011, Found. Comput. Math..

DTM-based filtrations

Hirokazu Anai, Frédéric Chazal, Marc Glisse, 2018, SoCG.

Projection-homeomorphic surfaces

Frédéric Chazal, André Lieutier, Jarek Rossignac, 2005, SPM '05.

Ball-Map: Homeomorphism between Compatible Surfaces

Frédéric Chazal, André Lieutier, Jarek Rossignac, 2010, Int. J. Comput. Geom. Appl..

Activity recognition from stride detection: a machine learning approach based on geometric patterns and trajectory reconstruction

Frédéric Chazal, Bertrand Michel, Bertrand Beaufils, 2018 .

On the Bootstrap for Persistence Diagrams and Landscapes pdf

Frédéric Chazal, Larry A. Wasserman, Alessandro Rinaldo, 2013, ArXiv.

Data driven estimation of Laplace-Beltrami operator

Frédéric Chazal, Bertrand Michel, Ilaria Giulini, 2016, NIPS.

A Sampling Theory for Compact Sets in Euclidean Space

Frédéric Chazal, David Cohen-Steiner, André Lieutier, 2009, Discret. Comput. Geom..

Metric graph reconstruction from noisy data

Leonidas J. Guibas, Frédéric Chazal, Marc Glisse, 2011, SoCG '11.

Boundary Measures for Geometric Inference

Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot, 2010, Found. Comput. Math..

An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists pdf

Frédéric Chazal, Bertrand Michel, F. Chazal, 2017, Frontiers in Artificial Intelligence.

Analysis of scalar fields over point cloud data

Leonidas J. Guibas, Steve Oudot, Frédéric Chazal, 2009, SODA.

Data-driven trajectory smoothing

Leonidas J. Guibas, Frédéric Chazal, Christian Sommer, 2011, GIS.

An Operator Approach to Tangent Vector Field Processing

Maks Ovsjanikov, Frédéric Chazal, Omri Azencot, 2013, SGP '13.

Rates of convergence for robust geometric inference pdf

Frédéric Chazal, Pascal Massart, Bertrand Michel, 2015, ArXiv.

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

Frédéric Chazal, Mathieu Carrière, Yuichi Ike, 2019, ArXiv.

Computing and processing correspondences with functional maps

Leonidas J. Guibas, Maks Ovsjanikov, Frédéric Chazal, 2016, SIGGRAPH Courses.

Proximity of persistence modules and their diagrams

Leonidas J. Guibas, Steve Oudot, Frédéric Chazal, 2009, SCG '09.

Geometric and Topological Inference

Mariette Yvinec, Jean-Daniel Boissonnat, Frédéric Chazal, 2018 .

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

Frédéric Chazal, Larry A. Wasserman, Alessandro Rinaldo, 2020, Symposium on Computational Geometry.

Gromov-Hausdorff Approximation of Metric Spaces with Linear Structure pdf

Jian Sun, Frédéric Chazal, Jian Sun, 2013, ArXiv.

Map-based exploration of intrinsic shape differences and variability

Leonidas J. Guibas, Maks Ovsjanikov, Frédéric Chazal, 2013, ACM Trans. Graph..

Normal-Map between Normal-Compatible Manifolds

Frédéric Chazal, André Lieutier, Jarek Rossignac, 2007, Int. J. Comput. Geom. Appl..

Robust Topological Inference: Distance To a Measure and Kernel Distance

Frédéric Chazal, Larry A. Wasserman, Alessandro Rinaldo, 2014, J. Mach. Learn. Res..

Gromov‐Hausdorff Stable Signatures for Shapes using Persistence

Leonidas J. Guibas, Steve Oudot, Frédéric Chazal, 2009, Comput. Graph. Forum.

Erratum to “Dynamical Sources in Information Theory: Fundamental Intervals and Word Prefixes”

Frédéric Chazal, Brigitte Vallée, Véronique Maume-Deschamps, 2003, Algorithmica.

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

Frédéric Chazal, Véronique Maume-Deschamps, F. Chazal, 2004, Discret. Math. Theor. Comput. Sci..

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

Maks Ovsjanikov, Frédéric Chazal, Omri Azencot, 2015, ACM Trans. Graph..

Discrete Critical Values: a General Framework for Silhouettes Computation

Frédéric Chazal, André Lieutier, N. Montana, 2009, Comput. Graph. Forum.

Persistence stability for geometric complexes

Steve Oudot, Frédéric Chazal, Vin de Silva, 2012, ArXiv.

Computing and processing correspondences with functional maps

Leonidas J. Guibas, Maks Ovsjanikov, Frédéric Chazal, 2016, SIGGRAPH ASIA Courses.

Deconvolution for the Wasserstein Metric and Geometric Inference

Frédéric Chazal, Bertrand Michel, Jérôme Dedecker, 2011, GSI.

Persistence-Based Clustering in Riemannian Manifolds

Leonidas J. Guibas, Steve Oudot, Frédéric Chazal, 2013, JACM.

Stochastic convergence of persistence landscapes and silhouettes

Frédéric Chazal, Alessandro Rinaldo, Brittany Terese Fasy, 2015, J. Comput. Geom..

The "lambda-medial axis"

Frédéric Chazal, André Lieutier, F. Chazal, 2005, Graph. Model..

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

Frédéric Chazal, André Lieutier, F. Chazal, 2008, Comput. Geom..

Normal cone approximation and offset shape isotopy

Frédéric Chazal, David Cohen-Steiner, André Lieutier, 2009, Comput. Geom..

Convergence rates for persistence diagram estimation in topological data analysis

Frédéric Chazal, Marc Glisse, Bertrand Michel, 2014, J. Mach. Learn. Res..

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

Frédéric Chazal, Bertrand Michel, Bertrand Beaufils, 2017, 2017 International Conference on Indoor Positioning and Indoor Navigation (IPIN).

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

Frédéric Chazal, André Lieutier, F. Chazal, 2005, SCG.

Towards persistence-based reconstruction in euclidean spaces

Steve Oudot, Frédéric Chazal, F. Chazal, 2007, SCG '08.

A condition for isotopic approximation

Frédéric Chazal, David Cohen-Steiner, D. Cohen-Steiner, 2004, SM '04.

Shape smoothing using double offsets

Frédéric Chazal, David Cohen-Steiner, André Lieutier, 2007, Symposium on Solid and Physical Modeling.

Stability of Curvature Measures

Frédéric Chazal, David Cohen-Steiner, André Lieutier, 2008, Comput. Graph. Forum.

Persistence-based clustering in riemannian manifolds

Leonidas J. Guibas, Steve Oudot, Frédéric Chazal, 2011, SoCG '11.

Efficient and robust persistent homology for measures

Steve Oudot, Frédéric Chazal, Don Sheehy, 2016, Comput. Geom..

The Intersection of Statistics and Topology

Frédéric Chazal, Alessandro Rinaldo, Brittany Terese Fasy, 2014 .

Boundary Measures for Geometric Inference pdf

Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot, 2007, Found. Comput. Math..

New Results - Topological and Geometric Inference

Steve Oudot, Mariette Yvinec, Jean-Daniel Boissonnat, 2009 .

The Structure and Stability of Persistence Modules pdf

Steve Oudot, Frédéric Chazal, Marc Glisse, 2012, Springer Briefs in Mathematics.

New Results - Mesh Generation and Geometry Processing

Mariette Yvinec, Jean-Daniel Boissonnat, Pierre Alliez, 2008 .

Stability and Computation of Topological Invariants of Solids in ${\Bbb R}^n$

Frédéric Chazal, André Lieutier, 2007, Discret. Comput. Geom..

Computing well diagrams for vector fields on Rn

Frédéric Chazal, Primoz Skraba, Amit Patel, 2012, Appl. Math. Lett..

Efficient and robust persistent homology for measures

Steve Oudot, Frédéric Chazal, Don Sheehy, 2013, Comput. Geom..

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

Frédéric Chazal, Thomas Lewiner, Frédéric Cazals, 2002, SCG '03.

Functoriality in Geometric Data (Dagstuhl Seminar 17021)

Leonidas J. Guibas, Maks Ovsjanikov, Frédéric Chazal, 2017, Dagstuhl Reports.

On the Stability of Functional Maps and Shape Difference Operators

Maks Ovsjanikov, Frédéric Chazal, Ruqi Huang, 2018, Comput. Graph. Forum.

Optimal rates of convergence for persistence diagrams in Topological Data Analysis pdf

Frédéric Chazal, Marc Glisse, Bertrand Michel, 2013, ArXiv.

The density of expected persistence diagrams and its kernel based estimation

Frédéric Chazal, Vincent Divol, 2019, J. Comput. Geom..

Persistence-Based Pooling for Shape Pose Recognition

Steve Oudot, Maks Ovsjanikov, Frédéric Chazal, 2016, CTIC.

Informatique Mathématique : une photographie en 2013

Mariette Yvinec, Jean-Daniel Boissonnat, Frédéric Chazal, 2013 .

The density of expected persistence diagrams and its kernel based estimation

Frédéric Chazal, Vincent Divol, F. Chazal, 2018, SoCG.

Persistence-based segmentation of deformable shapes

Leonidas J. Guibas, Maks Ovsjanikov, Frédéric Chazal, 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Workshops.

Persistence-Based Structural Recognition

Maks Ovsjanikov, Frédéric Chazal, Chunyuan Li, 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

Topological Analysis of Scalar Fields with Outliers

Steve Oudot, Frédéric Chazal, Tamal K. Dey, 2015, Symposium on Computational Geometry.

Interleaved Filtrations: Theory and Applications in Point Cloud Data Analysis

Steve Oudot, Frédéric Chazal, 2013, GSI.

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

Jian Sun, Frédéric Chazal, Ruqi Huang, 2015, Discret. Comput. Geom..

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

Jian Sun, Frédéric Chazal, Jian Sun, 2014, SoCG.

Scalar Field Analysis over Point Cloud Data

Leonidas J. Guibas, Steve Oudot, Frédéric Chazal, 2011, Discret. Comput. Geom..

Subsampling Methods for Persistent Homology

Frédéric Chazal, Larry A. Wasserman, Alessandro Rinaldo, 2014, ICML.

Stochastic Convergence of Persistence Landscapes and Silhouettes pdf

Frédéric Chazal, Larry A. Wasserman, Alessandro Rinaldo, 2013, J. Comput. Geom..

Clustering of measures via mean measure quantization

Frédéric Chazal, Martin Royer, Clément Levrard, 2021 .

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

Frédéric Chazal, Mathieu Carrière, Bertrand Michel, 2021, BMC Bioinform..

Optimizing persistent homology based functions

Frédéric Chazal, Marc Glisse, Mathieu Carrière, 2020, ICML.

Inference of curvature using tubular neighborhoods

Frédéric Chazal, David Cohen-Steiner, André Lieutier, 2017 .

Computing the Robustness of Roots

Frédéric Chazal, Primoz Skraba, Amit Patel, 2010 .

Algorithms for Complex Shapes with Certified Numerics and Topology Computation of the medial axis of smooth curves with topological guarantees

Frédéric Chazal, Gert Vegter, G. Vegter, 2006 .

High-Dimensional Topological Data Analysis

Frédéric Chazal, F. Chazal, 2016 .