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Introduction to Geometric Learning in Python with Geomstats

Nina Miolane , Nicolas Guigui , Hadi Zaatiti , Christian Shewmake , Hatem Hajri , et al.
SciPy 2020 - 19th Python in Science Conference, Jul 2020, Austin, Texas, United States. pp.48-57, ⟨10.25080/Majora-342d178e-007⟩
Conference papers hal-02908006v1
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Numerical Accuracy of Ladder Schemes for Parallel Transport on Manifolds

Nicolas Guigui , Xavier Pennec
Foundations of Computational Mathematics, 2022, 22, pp.757-790. ⟨10.1007/s10208-021-09515-x⟩
Journal articles hal-02894783v3
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Cardiac Motion Modeling with Parallel Transport and Shape Splines

Nicolas Guigui , Pamela Moceri , Maxime Sermesant , Xavier Pennec
ISBI 2021 - 18th IEEE International Symposium on Biomedical Imaging, Apr 2021, Nice, France. pp. 1394-1397, ⟨10.1109/ISBI48211.2021.9433887⟩
Conference papers hal-03142196v1

ICLR 2021 Challenge for Computational Geometry & Topology: Design and Results

Nina Miolane , Matteo Caorsi , Umberto Lupo , Marius Guerard , Nicolas Guigui , et al.
Preprints, Working Papers, ... hal-03505132v1
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Geomstats: A Python Package for Riemannian Geometry in Machine Learning

Nina Miolane , Nicolas Guigui , Alice Le Brigant , Johan Mathe , Benjamin Hou , et al.
Journal of Machine Learning Research, 2020, 21 (223), pp.1-9
Journal articles hal-02536154v2
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Wrapped statistical models on manifolds: motivations, the case SE(n), and generalization to symmetric spaces

Emmanuel Chevallier , Nicolas Guigui
Joint Structures and Common Foundations of Statistical Physics, Information Geometry and Inference for Learning, Jul 2020, Les Houches, France
Conference papers hal-03154401v1
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Parallel Transport on Kendall Shape Spaces

Nicolas Guigui , Elodie Maignant , Alain Trouvé , Xavier Pennec
GSI 2021 - 5th conference on Geometric Science of Information, Jul 2021, Paris, France. pp.103-110, ⟨10.1007/978-3-030-80209-7_12⟩
Conference papers hal-03160677v1
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Investigation of the impact of normalization on the study of interactions between myocardial shape and deformation

Maxime Di Folco , Nicolas Guigui , Patrick Clarysse , Pamela Moceri , Nicolas Duchateau
FIMH 2021 - 11th International Conference on Functional Imaging and Modeling of the Heart, Jun 2021, Stanford, United States. pp.223-231, ⟨10.1007/978-3-030-78710-3_22⟩
Conference papers hal-03203378v1
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Symmetric Algorithmic Components for Shape Analysis with Diffeomorphisms

Nicolas Guigui , Shuman Jia , Maxime Sermesant , Xavier Pennec
GSI 2019 - 4th conference on Geometric Science of Information, F. Nielsen and F. Barbaresco, Aug 2019, Toulouse, France. pp.759--768, ⟨10.1007/978-3-030-26980-7_79⟩
Conference papers hal-02148832v1
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Introduction to Riemannian Geometry and Geometric Statistics: from basic theory to implementation with Geomstats

Nicolas Guigui , Nina Miolane , Xavier Pennec
Foundations and Trends in Machine Learning, 2023, 16 (3), pp.329-493. ⟨10.1561/2200000098⟩
Journal articles hal-03766900v2
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Classifying histograms of medical data using information geometry of beta distributions

Alice Le Brigant , Nicolas Guigui , Sana Rebbah , Stéphane Puechmorel
IFAC-PapersOnLine, 2021, ⟨10.1016/j.ifacol.2021.06.110⟩
Journal articles hal-02671122v2
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Network regularization in imaging genetics improves prediction performances and model interpretability on Alzheimers's disease

Nicolas Guigui , C. Philippe , A. Gloaguen , S. Karkar , V. Guillemot , et al.
ISBI 2019 - Proceedings of the IEEE International Symposium on Biomedical Imaging, Apr 2019, Venice, Italy. ⟨10.1109/ISBI.2019.8759593⟩
Conference papers cea-02016625v1
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Computational methods for statistical estimation on Riemannian manifolds and application to the study of the cardiac deformations

Nicolas Guigui
Differential Geometry [math.DG]. Université Côte d'Azur, 2021. English. ⟨NNT : 2021COAZ4081⟩
Theses tel-03563980v2
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A reduced parallel transport equation on Lie Groups with a left-invariant metric

Nicolas Guigui , Xavier Pennec
GSI 2021 - 5th conference on Geometric Science of Information, Jul 2021, Paris, France. pp.119-126, ⟨10.1007/978-3-030-80209-7_14⟩
Conference papers hal-03154318v2
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Parallel transport, a central tool in geometric statistics for computational anatomy: Application to cardiac motion modeling

Nicolas Guigui , Xavier Pennec
Frank Nielsen; Arni S.R. Srinivasa Rao; C.R. Rao. Geometry and Statistics, 46, Elsevier, pp.285-326, 2022, Handbook of Statistics, 978-0-323-91345-4. ⟨10.1016/⟩
Book sections hal-03684811v1
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A Bi-Invariant Statistical Model Parametrized by Mean and Covariance on Rigid Motions

Emmanuel Chevallier , Nicolas Guigui
Entropy, 2020, 22 (4), pp.432. ⟨10.3390/e22040432⟩
Journal articles hal-02568245v1