W Reise, B Michel, F Chazal. Topological signatures of periodic-like signals. To appear in Bernoulli, 2024.
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T. Bonis, F. Chazal, B. Michel, W. Reise. Topological phase estimation method for reparameterized periodic functions.
To appear in Advances in Computational Mathematics, 2024.
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F. Hensel, C. Arnal, M. Carrière, T. Lacombe, H. Kurihara, Y. Ike, F. Chazal. MAGDiff: Covariate Data Set Shift Detection via Activation Graphs of Deep Neural Networks.
To appear in Transactions on Machine Learning Research, 2024.
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F. Chazal, L. Ferraris, P. Groisman, M. Jonckheere, F. Pascal, F. Sapienza.
Choosing the parameter of the Fermat distance: navigating geometry and noise.
To appear in Transactions on Machine Learning Research, 2024.
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Iniesta, R., Carr, E., Carriere, M., Yerolemou, N., Michel, B. and Chazal, F.
Topological Data Analysis and its usefulness for precision medicine studies.
In Statistics Operations and Research Transactions (SORT), 46(1), 115-136, 2022.
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F. Chazal, B. Michel.
An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists.
Frontiers in AI, 2021.
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E. Carr, M. Carrière, B. Michel, F. Chazal, R. Iniesta.
Identifying homogeneous subgroups of patients and important features: a topological machine learning approach.
BMC Bioinformatics volume 22, Article number: 449 (2021).
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F. Chazal, C. Levrard, M. Royer.
Optimal quantization of the mean measure and application to clustering of measures. To appear in Electronic Journal of Statistics, 2021.
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B. Beaufils, F. Chazal, M. Grelet, B. Michel. Stride Detector from Ankle-Mounted Inertial Sensors
for Pedestrian Navigation and Activity Recognition with Machine Learning Approaches. Sensors 2019, 19, 4491.
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V. Divol, F. Chazal. The density of expected persistence diagrams and
its kernel based estimation. To appear in Proc. 34th int. Symposium on Computational Geometry (SoCG 2018). Extended version to appear in Journal of Computational Geometry.
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E. Aamari, J. Kim, F. Chazal, B. Michel, A. Rinaldo, L. Wasserman.
Estimating the Reach of a Manifold, Electronic Journal of Statistics, 2019.
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H. Anai, F. Chazal, M. Glisse, Y. Ike, H. Inakoshi, R. Tinarrage, Y. Umeda, DTM-based filtrations, in to appear in Abel Symp. Proc. 2019.
Extended version of a paper in Symp. Comp. Geom 2019 (SoCG 2019).
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F. Chazal, B. T. Fasy, F. Lecci, B. Michel, A. Rinaldo, L. Wasserman. Robust Topological Inference: Distance To a Measure and
Kernel Distance arXiv:1412.7197. In JJournal of Machine Learning Research 18 (2018) 1-40.
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R. Huang, F. Chazal, M. Ovsjanikov. On the Stability of Functional Maps and Shape Difference Operators.
Computer Graphics Forum, 37 (1), 145--158, 2018.
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F. Chazal, P. Massart, B. Michel. Rates of Convergence for Robust Geometric Inference. Electronic Journal of Statistics Volume 10, Number 2 (2016), 2243-2286.
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M. Buchet and F. Chazal and S. Y. Oudot and D. R. Sheehy. Efficient and Robust Persistent Homology for Measures.
To appear in Computational Geometry: Theory and Applications, 2016..
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F. Chazal, W. Crawley-Boevey, V. de Silva.
The observable structure of persistence modules, in Homology, Homotopy and Applications,vol. 18, 2, p.247-265 2016.
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F. Chazal, M. Glisse, C. Labruere, B. Michel.
Convergence rates for persistence diagram estimation in Topological Data Analysis.
In Journal of Machine Learning Research (JMLR), Vol. 16, p. 3603-3635, Dec. 2015.
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F. Chazal, R. Huang, J. Sun.
Gromov-Hausdorff Approximation of Filament Structure Using Reeb-type Graph.
To appear in Discrete and Computational Geometry (Extended version of the SoCG 2014 version with topological guarantees), 2015.
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O. Azencot, M. Ovsjanikov, F. Chazal, M. Ben-Chen.
Discrete Derivatives of Vector Fields on Surfaces An Operator Approach.
ACM Transactions on Graphics (TOG), Volume 34 Issue 3, April 2015, Article No. 29.
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F. Chazal, B.T. Fasy, F. Lecci, A. Rinaldo, L. Wasserman.
Stochastic Convergence of Persistence Landscapes and Silhouettes.
To appear in Journal of Computational Geometry 2015 (conference version in SoCG 2014).
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F. Chazal,
V. de Silva. S. Oudot. Persistence Stability for Geometric
Complexes. To appear in Geometriae Dedicata (online First, December 2013), see arXiv:1207.3885v1 [math.AT].
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F. Chazal,
B. Fasy, F. Lecci, A. Rinaldo, A. Singh, L. Wasserman. On the Bootstrap for Persistence Diagrams and Landscapes.
Modeling and Analysis of Information Systems, 20:6 (2013), 96--105.
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F. Chazal,
L. J. Guibas, S. Y. Oudot, P. Skraba. Persistence-Based
Clustering in Riemannian Manifolds. Proc. 27th Annual ACM
Symposium on Computational Geometry, pages 97-106, 2011. Full
version in Journal of the ACM, volume 60,
issue 6, article 41.
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M. Ovsjanikov, M. Ben-Chen, F. Chazal, L. Guibas.
Analysis and Visualization of Maps Between Shapes.
In Computer Graphics Forum (2013).
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M. Aanjaneya, F. Chazal, D. Chen, M. Glisse, L. J. Guibas, D. Morozov.
Metric Graph Reconstruction from Noisy Data.
In Intern. Journal on Computational Geometry and Applications, vol 22, No 4, p.305-325 (2012).
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F. Chazal, A. Patel, P. Skraba.
Computing Well Diagrams for Vector Fields on Rn.
In Applied Mathematics Letters, 2012.
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C. Caillerie, F. Chazal, J. Dedecker, B. Michel.
Deconvolution for the Wasserstein metric and geometric inference.
In Electronic Journal of Statistics, vol. 5, p.1394-1423, 2011.
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F. Chazal, D. Cohen-Steiner, Q. Mérigot.
Geometric Inference for Probability Measures.
In Journal on Foundations of Computational Mathematics, 2011, volume 11, number 6.
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G. Biau, F. Chazal, D. Cohen-Steiner, L. Devroye, C. Rodrigues.
A Weighted k-Nearest Neighbor Density Estimate for Geometric Inference.
In Electronic Journal of Statistics, vol. 5, p. 204-237, 2011.
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F. Chazal, L. J. Guibas, S. Oudot, P. Skraba.
Scalar Field Analysis over Point Cloud Data.
In Discrete and Computational Geometry, Vol. 46, 4, pp.743-775, 2011.
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F. Chazal, D. Cohen-Steiner, Q. Mérigot.
Boundary Measures for Geometric Inference.
In Journal on Foundations of Computational Mathematics, 2009, Volume 10, Issue 2, p.221-240, 2010.
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F. Chazal, D. Cohen-Steiner, L. J. Guibas, F. M\'emoli, S. Oudot.
Gromov-Hausdorff Stable Signatures for Shapes using Persistence.
In Computer Graphics Forum (proc. SGP 2009), pp. 1393-1403, 2009.
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F. Chazal, D. Cohen-Steiner, A. Lieutier, B. Thibert.
Stability of Curvature Measures.
In Computer Graphics Forum (proc. SGP 2009), pp. 1485-1496, 2009.
Extended version with complete proofs
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F. Chazal, A. Lieutier, N. Montana
Discrete Critical Values: a General Framework for Silhouettes Computations.
In Computer Graphics Forum (proc. SGP 2009), pp. 1509-1518, 2009.
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F. Chazal, D. Cohen-Steiner, A. Lieutier.
Normal Cone Approximation and Offset Shape Isotopy.
In Comp. Geom: Theory and Applications, vol 42, 6-7, pp. 566-581, 2009.
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F. Chazal, A. Lieutier, J. Rossignac, B. Whited.
Ball map: median projection map between compatible surfaces.
In Int. Journal of Computational Geometry and Applications, volume 20, issue 3, p.285-306, 2010.
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F. Chazal, A. Lieutier.
Smooth Manifold Reconstruction from Noisy and Non Uniform Approximation with Guarantees.
In Comp. Geom: Theory and Applications, vol 40(2008) pp 156-170.
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F. Chazal, D. Cohen-Steiner, A. Lieutier.
A Sampling Theory for Compact Sets in Euclidean Spaces.
In Discrete and Computational Geometry, Vol 41, 3, (2009).
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F. Chazal, A. Lieutier.
Stability and computation of topological invariants of solids in R^n.
In Discrete and Computational Geometry, Volume 37, Number 4, pp. 601-617, May 2007.
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F. Chazal, A. Lieutier, J. Rossignac.
Normal-map between normal-compatible manifolds.
In Int. Journal of Computational Geometry and Applications, volume 17, Issue 5, p.403-421, 2007.
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F. Chazal, A. Lieutier.
The $\lambda$-medial axis.
In Graphical Models, Volume 67, Issue 4 (2005), pp. 304-331 (Graphical Models Second Top-Cited Article 2005-2010).
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F. Chazal, D. Cohen-Steiner.
A condition for isotopic approximation.
In Graphical Models, Volume 67, Issue 5 (2005), pp. 390-404.
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F. Chazal, V. Maume-Deschamps.
Statistical properties of general Markov dynamical sources: applications to information theory.
In Discrete Mathematics and Theoretical Computer Science, Vol. 6, 2 (2004), pp. 283-314.
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F. Chazal, R. Soufflet.
Stability and finiteness properties of medial axis and skeleton.
In Journal of Dynamical and Control Systems, vol. 10, No. 2, p. 149-170, 2004.
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F. Chazal, V. Maume-Deschamps et B. Vall\'ee.
Erratum to ``Dynamical sources in information theory : fundamentals intervals and word prefixes'' by B. Vall\'ee.
In Algorithmica, vol. 38, No 4, 2004, pp 591-596.
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F. Chazal, J.-M. Lion.
Volumes transverses aux feuilletages définissables dans des structures o-minimales.
In Publicacions Matematiques vol.47, num 2, p.441-450 (2003).
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F. Chazal.
Un théoreme de prolongement d'applications méromorphes
In Math. Ann. 320, p285-297 (2001).
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F. Chazal J.-M. Lion.
Une propriété des solutions non spiralantes d'équations différentielles analytiques du plan.
In C.R. Acad. Sci. Paris, t.327, S\'erie I, p.451-454 (1998).
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F. Chazal.
Structure locale et globale des feuilletages de Rolle, un théoreme de fibration.
In Ann. Inst. Fourier, Grenoble 48, 2, p.553-592 (1998).
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F. Chazal.
Sur les feuilletages algébriques de Rolle.
In Comment. Math. Helv. 72, 3, (1997), p.411-425.
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F. Chazal.
Un théoreme de fibration pour les feuilletages algébriques de codimension un de R^n.
In C.R. Acad. Sci. Paris, t.321, S\'erie I, p.327-330 (1995).
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