Publications Book chapters (5) Advances in Geometric Statistics for Manifold Dimension Reduction Author(s): Xavier Pennec Published in: Handbook of Variational Methods for Nonlinear Geometric Data, 2020, Page(s) 339-359, ISBN 978-3-030-31350-0 Publisher: Springer International Publishing DOI: 10.1007/978-3-030-31351-7_11 Beyond Riemannian geometry: The affine connection setting for transformation groups Author(s): Pennec, Xavier; Lorenzi, Marco Published in: Riemannian Geometric Statistics in Medical Image Analysis, 2021, Page(s) pp.169-229, ISBN 978-0-12-814725-2 Publisher: Academic Press DOI: 10.1016/b978-0-12-814725-2.00012-1 Manifold-valued image processing with SPD matrices Author(s): Xavier Pennec Published in: Riemannian Geometric Statistics in Medical Image Analysis, 2020, Page(s) 75-134, ISBN 9780-128147252 Publisher: Academic Press DOI: 10.1016/B978-0-12-814725-2.00010-8 Parallel transport, a central tool in geometric statistics for computational anatomy: Application to cardiac motion modeling Author(s): Nicolas Guigui; Xavier Pennec Published in: Handbook of Statistics, volume 46: Geometry and Statistics; Editors: Frank Nielsen; Arni S.R. Srinivasa Rao; C.R. Rao., Issue 46, 2022, Page(s) 285-326, ISBN 978-0-323-91345-4 Publisher: Elsevier - Academic Press DOI: 10.1016/bs.host.2022.03.006 Statistical Analysis of Organs’ Shapes and Deformations: The Riemannian and the Affine Settings in Computational Anatomy Author(s): Xavier Pennec Published in: Digital Anatomy - Applications of Virtual, Mixed and Augmented Reality, 2021, Page(s) 159-183, ISBN 978-3-030-61904-6 Publisher: Springer International Publishing DOI: 10.1007/978-3-030-61905-3_9 Peer reviewed articles (9) A Bi-Invariant Statistical Model Parametrized by Mean and Covariance on Rigid Motions Author(s): Emmanuel Chevallier, Nicolas Guigui Published in: Entropy, Issue 22/4, 2020, Page(s) 432, ISSN 1099-4300 Publisher: Multidisciplinary Digital Publishing Institute (MDPI) DOI: 10.3390/e22040432 O(n)-invariant Riemannian metrics on SPD matrices Author(s): Yann Thanwerdas; Xavier Pennec Published in: Linear Algebra and its Applications, Issue Vol. 661, 2023, Page(s) 163-201, ISSN 0024-3795 Publisher: Elsevier BV DOI: 10.1016/j.laa.2022.12.009 Theoretically and computationally convenient geometries on full-rank correlation matrices Author(s): Yann Thanwerdas; Xavier Pennec Published in: SIAM Journal on Matrix Analysis and Applications, Issue Vol. 43, no 4, 2022, Page(s) 1851 - 1872, ISSN 1095-7162 Publisher: SIAM DOI: 10.48550/arxiv.2201.06282 The Measurement and Analysis of Shapes Author(s): Benn, James; Marsland, Stephen Published in: Annals of Global Analysis and Geometry, inPress, 62, pp.47-70., Issue 62, 2022, Page(s) 47–70, ISSN 0232-704X Publisher: Kluwer Academic Publishers DOI: 10.1007/s10455-022-09839-z Numerical Accuracy of Ladder Schemes for Parallel Transport on Manifolds Author(s): Nicolas Guigui, Xavier Pennec Published in: Foundations of Computational Mathematics, 2021, ISSN 1615-3375 Publisher: Springer Verlag DOI: 10.1007/s10208-021-09515-x Introduction to Riemannian Geometry and Geometric Statistics: from basic theory to implementation with Geomstats Author(s): Nicolas Guigui; Nina Miolane; Xavier Pennec Published in: Foundations and Trends® in Machine Learning, Issue Vol 16, Issue 3, 2023, Page(s) 329-493, ISSN 1935-8237 Publisher: Now Publishers Inc. DOI: 10.1561/2200000098 Voxel-based assessments of treatment effects on longitudinal brain changes in the Multidomain Alzheimer Preventive Trial cohort Author(s): Raphaël Sivera, Nicolas Capet, Valeria Manera, Roxane Fabre, Marco Lorenzi, Hervé Delingette, Xavier Pennec, Nicholas Ayache, Philippe Robert Published in: Neurobiology of Aging, Issue 94, 2020, Page(s) 50-59, ISSN 0197-4580 Publisher: Elsevier BV DOI: 10.1016/j.neurobiolaging.2019.11.020 The geometry of mixed-Euclidean metrics on symmetric positive definite matrices Author(s): Yann Thanwerdas; Xavier Pennec Published in: Differential Geometry and its Applications, Issue Vol.81, 2022, Page(s) 101867, ISSN 0926-2245 Publisher: Elsevier BV DOI: 10.1016/j.difgeo.2022.101867 Geomstats: A Python Package for Riemannian Geometry in Machine Learning Author(s): Nina Miolane, Nicolas Guigui, Alice Le Brigant, Johan Mathe, Benjamin Hou, Yann Thanwerdas, Stefan Heyder, Olivier Peltre, Niklas Koep, Hadi Zaatiti, Hatem Hajri, Yann Cabanes, Thomas Gerald, Paul Chauchat, Christian Shewmake, Daniel Brooks, Bernhard Kainz, Claire Donnat, Susan Holmes, Xavier Pennec Published in: JMLR - Journal of Machine Learning Research, Issue 21, 2020, Page(s) 19-027, ISSN 1533-7928 Publisher: JMLR Conference proceedings (9) Parallel Transport on Kendall Shape Spaces Author(s): Nicolas Guigui, Elodie Maignant, Alain Trouvé, Xavier Pennec Published in: Geometric Science of Information - 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings, Issue 12829, 2021, Page(s) 103-110, ISBN 978-3-030-80208-0 Publisher: Springer International Publishing DOI: 10.1007/978-3-030-80209-7_12 Cardiac Motion Modeling With Parallel Transport And Shape Splines Author(s): Nicolas Guigui, Pamela Moceri, Maxime Sermesant, Xavier Pennec Published in: 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI), 2021, Page(s) 1394-1397, ISBN 978-1-6654-1246-9 Publisher: IEEE DOI: 10.1109/isbi48211.2021.9433887 Geodesics and Curvature of the Quotient-Affine Metrics on Full-Rank Correlation Matrices Author(s): Yann Thanwerdas, Xavier Pennec Published in: Geometric Science of Information - 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings, Issue 12829, 2021, Page(s) 93-102, ISBN 978-3-030-80208-0 Publisher: Springer International Publishing DOI: 10.1007/978-3-030-80209-7_11 Exploration of Balanced Metrics on Symmetric Positive Definite Matrices Author(s): Yann Thanwerdas, Xavier Pennec Published in: Geometric Science of Information - 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings, Issue 11712, 2019, Page(s) 484-493, ISBN 978-3-030-26979-1 Publisher: Springer International Publishing DOI: 10.1007/978-3-030-26980-7_50 Symmetric Algorithmic Components for Shape Analysis with Diffeomorphisms Author(s): Nicolas Guigui, Shuman Jia, Maxime Sermesant, Xavier Pennec Published in: Geometric Science of Information - 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings, Issue 11712, 2019, Page(s) 759-768, ISBN 978-3-030-26979-1 Publisher: Springer International Publishing DOI: 10.1007/978-3-030-26980-7_79 Is Affine-Invariance Well Defined on SPD Matrices? A Principled Continuum of Metrics Author(s): Yann Thanwerdas, Xavier Pennec Published in: Geometric Science of Information - 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings, Issue 11712, 2019, Page(s) 502-510, ISBN 978-3-030-26979-1 Publisher: Springer International Publishing DOI: 10.1007/978-3-030-26980-7_52 Wrapped statistical models on manifolds: motivations, the case SE(n), and generalization to symmetric spaces Author(s): Emmanuel Chevallier; Nicolas Guigui Published in: Proc. of SPIGL 2020: Geometric Structures of Statistical Physics, Information Geometry, and Learning, 2021, Page(s) 96–106 Publisher: Springer DOI: 10.1007/978-3-030-77957-3_5 Introduction to Geometric Learning in Python with Geomstats Author(s): Nina Miolane, Nicolas Guigui, Hadi Zaatiti, Christian Shewmake, Hatem Hajri, Daniel Brooks, Alice Le Brigant, Johan Mathe, Benjamin Hou, Yann Thanwerdas, Stefan Heyder, Olivier Peltre, Niklas Koep, Yann Cabanes, Thomas Gerald, Paul Chauchat, Bernhard Kainz, Claire Donnat, Susan Holmes, Xavier Pennec Published in: Proceedings of the 19th Python in Science Conference, 2020, Page(s) 48-57 Publisher: SciPy DOI: 10.25080/majora-342d178e-007 A Reduced Parallel Transport Equation on Lie Groups with a Left-Invariant Metric Author(s): Nicolas Guigui, Xavier Pennec Published in: Geometric Science of Information - 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings, Issue 12829, 2021, Page(s) 119-126, ISBN 978-3-030-80208-0 Publisher: Springer International Publishing DOI: 10.1007/978-3-030-80209-7_14 Thesis and dissertations (2) Riemannian and stratified geometries on covariance and correlation matrices Author(s): Thanwerdas, Yann Published in: Issue 2022-05-22, 2022 Publisher: Universite Côte d'Azur Computational methods for statistical estimation on Riemannian manifolds and application to the study of cardiac deformations Author(s): Guigui, Nicolas Published in: Issue 2023-11-18, 2021 Publisher: Univresité Côte d'Azur Monographic books (2) Riemannian Geometric Statistics in Medical Image Analysis Author(s): Xavier Pennec, Stefan Sommer, Tom Fletcher Published in: 2020, ISBN 9780-128147252 Publisher: Academic Press DOI: 10.1016/C2017-0-01561-6 Multimodal Brain Image Analysis and Mathematical Foundations of Computational Anatomy - 4th International Workshop, MBIA 2019, and 7th International Workshop, MFCA 2019, Held in Conjunction with MICCAI 2019, Shenzhen, China, October 17, 2019, Proceedings Author(s): Dajiang Zhu, Jingwen Yan, Heng Huang, Li Shen, Paul M. Thompson, Carl-Fredrik Westin, Xavier Pennec, Sarang Joshi, Mads Nielsen, Tom Fletcher, Stanley Durrleman, Stefan Sommer Published in: Lecture Notes in Computer Science (LNCS), Issue 11846, 2019, ISBN 978-3-030-33226-6 Publisher: Springer DOI: 10.1007/978-3-030-33226-6 Searching for OpenAIRE data... There was an error trying to search data from OpenAIRE No results available
