Molecular shape analysis based upon the morse-smale complex and the connolly function. - Frédéric Cazals; Frédéric Chazal; Thomas Lewiner (SCG, 2003)

Stability and homotopy of a subset of the medial axis. - Frédéric Chazal; André Lieutier (Symposium on Solid Modeling and Applications, 2004)

Erratum to 'Dynamical Sources in Information Theory: Fundamental Intervals and Word Prefixes'. - Frédéric Chazal; Véronique Maume-Deschamps; Brigitte Vallée (Algorithmica, 2004)

Statistical properties of general Markov dynamical sources: applications to information theory. - Frédéric Chazal; Véronique Maume-Deschamps (Discret. Math. Theor. Comput. Sci., 2004)

Weak feature size and persistent homology: computing homology of solids in Rn from noisy data samples. - Frédéric Chazal; André Lieutier (SCG, 2005)

Projection-homeomorphic surfaces. - Frédéric Chazal; André Lieutier; Jarek Rossignac (Symposium on Solid and Physical Modeling, 2005)

A condition for isotopic approximation. - Frédéric Chazal; David Cohen-Steiner (Graph. Model., 2005)

The "lambda-medial axis". - Frédéric Chazal; André Lieutier (Graph. Model., 2005)

Topology guaranteeing manifold reconstruction using distance function to noisy data. - Frédéric Chazal; André Lieutier (SCG, 2006)

Shape smoothing using double offsets. - Frédéric Chazal; David Cohen-Steiner; André Lieutier; Boris Thibert (Symposium on Solid and Physical Modeling, 2007)

Stability of boundary measures - Frédéric Chazal; David Cohen-Steiner; Quentin Mérigot (CoRR, 2007)

Stability and Computation of Topological Invariants of Solids in Bbb Rn. - Frédéric Chazal; André Lieutier (Discret. Comput. Geom., 2007)

Normal-Map between Normal-Compatible Manifolds. - Frédéric Chazal; André Lieutier; Jarek Rossignac (Int. J. Comput. Geom. Appl., 2007)

Towards persistence-based reconstruction in euclidean spaces. - Frédéric Chazal; Steve Oudot (SCG, 2008)

Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees. - Frédéric Chazal; André Lieutier (Comput. Geom., 2008)

Proximity of persistence modules and their diagrams. - Frédéric Chazal; David Cohen-Steiner; Marc Glisse; Leonidas J. Guibas; Steve Oudot (SCG, 2009)

Analysis of scalar fields over point cloud data. - Frédéric Chazal; Leonidas J. Guibas; Steve Oudot; Primoz Skraba (SODA, 2009)

Gromov-Hausdorff Stable Signatures for Shapes using Persistence. - Frédéric Chazal; David Cohen-Steiner; Leonidas J. Guibas; Facundo Mémoli; Steve Oudot (Comput. Graph. Forum, 2009)

Stability of Curvature Measures. - Frédéric Chazal; David Cohen-Steiner; André Lieutier; Boris Thibert (Comput. Graph. Forum, 2009)

Discrete Critical Values: a General Framework for Silhouettes Computation. - Frédéric Chazal; André Lieutier; N. Montana (Comput. Graph. Forum, 2009)

Normal cone approximation and offset shape isotopy. - Frédéric Chazal; David Cohen-Steiner; André Lieutier (Comput. Geom., 2009)

A Sampling Theory for Compact Sets in Euclidean Space. - Frédéric Chazal; David Cohen-Steiner; André Lieutier (Discret. Comput. Geom., 2009)

Persistence-based segmentation of deformable shapes. - Primoz Skraba; Maks Ovsjanikov; Frédéric Chazal; Leonidas J. Guibas (CVPR Workshops, 2010)

Boundary Measures for Geometric Inference. - Frédéric Chazal; David Cohen-Steiner; Quentin Mérigot (Found. Comput. Math., 2010)

Ball-Map: Homeomorphism between Compatible Surfaces. - Frédéric Chazal; André Lieutier; Jarek Rossignac; Brian Whited (Int. J. Comput. Geom. Appl., 2010)

Data-driven trajectory smoothing. - Frédéric Chazal; Daniel Chen 003; Leonidas J. Guibas; Xiaoye Jiang; Christian Sommer 001 (GIS, 2011)

Scalar Field Analysis over Point Cloud Data. - Frédéric Chazal; Leonidas J. Guibas; Steve Y. Oudot; Primoz Skraba (Discret. Comput. Geom., 2011)

Geometric Inference for Probability Measures. - Frédéric Chazal; David Cohen-Steiner; Quentin Mérigot (Found. Comput. Math., 2011)

Computing well diagrams for vector fields on Rn. - Frédéric Chazal; Primoz Skraba; Amit Patel (Appl. Math. Lett., 2012)

The structure and stability of persistence modules - Frédéric Chazal; Vin de Silva; Marc Glisse; Steve Oudot (CoRR, 2012)

Persistence stability for geometric complexes - Frédéric Chazal; Vin de Silva; Steve Oudot (CoRR, 2012)

Metric Graph Reconstruction from noisy Data. - Mridul Aanjaneya; Frédéric Chazal; Daniel Chen 003; Marc Glisse; Leonidas J. Guibas; Dmitriy Morozov (Int. J. Comput. Geom. Appl., 2012)

Deconvolution for the Wasserstein Metric and Geometric Inference. - Claire Caillerie; Frédéric Chazal; Jérôme Dedecker; Bertrand Michel (GSI, 2013)

Interleaved Filtrations: Theory and Applications in Point Cloud Data Analysis. - Frédéric Chazal; Steve Y. Oudot (GSI, 2013)

An Operator Approach to Tangent Vector Field Processing. - Omri Azencot; Mirela Ben-Chen; Frédéric Chazal; Maks Ovsjanikov (Comput. Graph. Forum, 2013)

Analysis and Visualization of Maps Between Shapes. - Maks Ovsjanikov; Mirela Ben-Chen; Frédéric Chazal; Leonidas J. Guibas (Comput. Graph. Forum, 2013)

Efficient and Robust Topological Data Analysis on Metric Spaces. - Mickaël Buchet; Frédéric Chazal; Steve Y. Oudot; Donald R. Sheehy (CoRR, 2013)

On the Bootstrap for Persistence Diagrams and Landscapes. - Frédéric Chazal; Brittany Terese Fasy; Fabrizio Lecci; Alessandro Rinaldo; Aarti Singh; Larry A. Wasserman (CoRR, 2013)

Gromov-Hausdorff Approximation of Metric Spaces with Linear Structure - Frédéric Chazal; Jian Sun 002 (CoRR, 2013)

Optimal rates of convergence for persistence diagrams in Topological Data Analysis - Frédéric Chazal; Marc Glisse; Catherine Labruère; Bertrand Michel (CoRR, 2013)

Persistence-Based Clustering in Riemannian Manifolds. - Frédéric Chazal; Leonidas J. Guibas; Steve Y. Oudot; Primoz Skraba (J. ACM, 2013)

Map-based exploration of intrinsic shape differences and variability. - Raif M. Rustamov; Maks Ovsjanikov; Omri Azencot; Mirela Ben-Chen; Frédéric Chazal; Leonidas J. Guibas (ACM Trans. Graph., 2013)

Gromov-Hausdorff Approximation of Filament Structure Using Reeb-type Graph. - Frédéric Chazal; Jian Sun 002 (SoCG, 2014)

Persistence-Based Structural Recognition. - Chunyuan Li; Maks Ovsjanikov; Frédéric Chazal (CVPR, 2014)

Topological Analysis of Scalar Fields with Outliers. - Mickaël Buchet; Frédéric Chazal; Tamal K. Dey; Fengtao Fan; Steve Y. Oudot; Yusu Wang 001 (SoCG, 2015)

Subsampling Methods for Persistent Homology. - Frédéric Chazal; Brittany Terese Fasy; Fabrizio Lecci; Bertrand Michel; Alessandro Rinaldo; Larry A. Wasserman (ICML, 2015)

Rates of convergence for robust geometric inference. - Frédéric Chazal; Pascal Massart; Bertrand Michel (CoRR, 2015)

Gromov-Hausdorff Approximation of Filamentary Structures Using Reeb-Type Graphs. - Frédéric Chazal; Ruqi Huang; Jian Sun 002 (Discret. Comput. Geom., 2015)

Convergence rates for persistence diagram estimation in topological data analysis. - Frédéric Chazal; Marc Glisse; Catherine Labruère; Bertrand Michel (J. Mach. Learn. Res., 2015)

Stochastic convergence of persistence landscapes and silhouettes. - Frédéric Chazal; Brittany Terese Fasy; Fabrizio Lecci; Alessandro Rinaldo; Larry A. Wasserman (J. Comput. Geom., 2015)

Discrete Derivatives of Vector Fields on Surfaces - An Operator Approach. - Omri Azencot; Maks Ovsjanikov; Frédéric Chazal; Mirela Ben-Chen (ACM Trans. Graph., 2015)

The Structure and Stability of Persistence Modules. - Frédéric Chazal; Vin de Silva; Marc Glisse; Steve Y. Oudot (Springer, 2016)

Persistence-Based Pooling for Shape Pose Recognition. - Thomas Bonis; Maks Ovsjanikov; Steve Oudot; Frédéric Chazal (CTIC, 2016)

Data driven estimation of Laplace-Beltrami operator. - Frédéric Chazal; Ilaria Giulini; Bertrand Michel (NIPS, 2016)

Computing and processing correspondences with functional maps. - Maks Ovsjanikov; Etienne Corman; Michael M. Bronstein; Emanuele Rodolà; Mirela Ben-Chen; Leonidas J. Guibas; Frédéric Chazal; Alexander M. Bronstein (SIGGRAPH ASIA Courses, 2016)

Efficient and robust persistent homology for measures. - Mickaël Buchet; Frédéric Chazal; Steve Y. Oudot; Donald R. Sheehy (Comput. Geom., 2016)

Stride detection for pedestrian trajectory reconstruction: A machine learning approach based on geometric patterns. - Bertrand Beaufils; Frédéric Chazal; Marc Grelet; Bertrand Michel (IPIN, 2017)

Functoriality in Geometric Data (Dagstuhl Seminar 17021). - Mirela Ben-Chen; Frédéric Chazal; Leonidas J. Guibas; Maks Ovsjanikov (Dagstuhl Reports, 2017)

Robust Topological Inference: Distance To a Measure and Kernel Distance. - Frédéric Chazal; Brittany Terese Fasy; Fabrizio Lecci; Bertrand Michel; Alessandro Rinaldo; Larry A. Wasserman (J. Mach. Learn. Res., 2017)

On the Stability of Functional Maps and Shape Difference Operators. - Ruqi Huang; Frédéric Chazal; Maks Ovsjanikov (Comput. Graph. Forum, 2018)

DTM-Based Filtrations. - Hirokazu Anai; Frédéric Chazal; Marc Glisse; Yuichi Ike; Hiroya Inakoshi; Raphaël Tinarrage; Yuhei Umeda (SoCG, 2019)

Robust pedestrian trajectory reconstruction from inertial sensor. - Bertrand Beaufils; Frédéric Chazal; Marc Grelet; Bertrand Michel (IPIN, 2019)

A General Neural Network Architecture for Persistence Diagrams and Graph Classification. - Mathieu Carrière; Frédéric Chazal; Yuichi Ike; Théo Lacombe; Martin Royer; Yuhei Umeda (CoRR, 2019)

ATOL: Automatic Topologically-Oriented Learning. - Martin Royer; Frédéric Chazal; Yuichi Ike; Yuhei Umeda (CoRR, 2019)

The density of expected persistence diagrams and its kernel based estimation. - Vincent Divol; Frédéric Chazal (J. Comput. Geom., 2019)

Robust Stride Detector from Ankle-Mounted Inertial Sensors for Pedestrian Navigation and Activity Recognition with Machine Learning Approaches. - Bertrand Beaufils; Frédéric Chazal; Marc Grelet; Bertrand Michel (Sensors, 2019)

Topological Data Analysis for Arrhythmia Detection Through Modular Neural Networks. - Meryll Dindin; Yuhei Umeda; Frédéric Chazal (Canadian AI, 2020)

PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures. - Mathieu Carrière; Frédéric Chazal; Yuichi Ike; Théo Lacombe; Martin Royer; Yuhei Umeda (AISTATS, 2020)

Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space. - Quentin Mérigot; Alex Delalande; Frédéric Chazal (AISTATS, 2020)

Homotopy Reconstruction via the Cech Complex and the Vietoris-Rips Complex. - Jisu Kim; Jaehyeok Shin; Frédéric Chazal; Alessandro Rinaldo; Larry A. Wasserman (SoCG, 2020)

PLLay: Efficient Topological Layer based on Persistent Landscapes. - Kwangho Kim; Jisu Kim; Manzil Zaheer; Joon Sik Kim; Frédéric Chazal; Larry A. Wasserman (NeurIPS, 2020)

Efficient Topological Layer based on Persistent Landscapes. - Kwangho Kim; Jisu Kim; Joon Sik Kim; Frédéric Chazal; Larry A. Wasserman (CoRR, 2020)

A note on stochastic subgradient descent for persistence-based functionals: convergence and practical aspects. - Mathieu Carrière; Frédéric Chazal; Marc Glisse; Yuichi Ike; Hariprasad Kannan (CoRR, 2020)

ATOL: Measure Vectorization for Automatic Topologically-Oriented Learning. - Martin Royer; Frédéric Chazal; Clément Levrard; Yuhei Umeda; Yuichi Ike (AISTATS, 2021)

Optimizing persistent homology based functions. - Mathieu Carrière; Frédéric Chazal; Marc Glisse; Yuichi Ike; Hariprasad Kannan; Yuhei Umeda (ICML, 2021)

Topological Uncertainty: Monitoring Trained Neural Networks through Persistence of Activation Graphs. - Théo Lacombe; Yuichi Ike; Mathieu Carrière; Frédéric Chazal; Marc Glisse; Yuhei Umeda (IJCAI, 2021)

Identifying homogeneous subgroups of patients and important features: a topological machine learning approach. - Ewan Carr; Mathieu Carrière; Bertrand Michel; Frédéric Chazal; Raquel Iniesta (BMC Bioinform., 2021)

An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists. - Frédéric Chazal; Bertrand Michel (Frontiers Artif. Intell., 2021)

RipsNet: a general architecture for fast and robust estimation of the persistent homology of point clouds. - Thibault de Surrel; Felix Hensel; Mathieu Carrière; Théo Lacombe; Yuichi Ike; Hiroaki Kurihara; Marc Glisse; Frédéric Chazal (TAG-ML, 2022)

MAGDiff: Covariate Data Set Shift Detection via Activation Graphs of Deep Neural Networks. - Felix Hensel; Charles Arnal; Mathieu Carrière; Théo Lacombe; Hiroaki Kurihara; Yuichi Ike; Frédéric Chazal (CoRR, 2023)

MAGDiff: Covariate Data Set Shift Detection via Activation Graphs of Neural Networks. - Charles Arnal; Felix Hensel; Mathieu Carrière; Théo Lacombe; Hiroaki Kurihara; Yuichi Ike; Frédéric Chazal (Trans. Mach. Learn. Res., 2024)

Choosing the parameter of the Fermat distance: navigating geometry and noise. - Frédéric Chazal; Laure Ferraris; Pablo Groisman; Matthieu Jonckheere; Frédéric Pascal 001; Facundo Sapienza (Trans. Mach. Learn. Res., 2024)

Topological phase estimation method for reparameterized periodic functions. - Thomas Bonis; Frédéric Chazal; Bertrand Michel; Wojciech Reise (Adv. Comput. Math., 2024)