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Publications of Yann Thanwerdas

Articles in journal, book chapters

  1. 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, and Xavier Pennec. Geomstats: A Python Package for Riemannian Geometry in Machine Learning. Journal of Machine Learning Research, 21(223):1-9, December 2020. Keyword(s): differential geometry, Riemannian geometry, statistics, machine learning, manifold. [bibtex-entry]


Conference articles

  1. Yann Thanwerdas and Xavier Pennec. Geodesics and Curvature of the Quotient-Affine Metrics on Full-Rank Correlation Matrices. In GSI 2021 - 5th conference on Geometric Science of Information, volume 12829 of Proceedings of Geometric Science of Information, Paris, France, pages 93-102, July 2021. Springer, Cham. Keyword(s): Correlation matrices, SPD matrices, Quotient manifold, Quotient-affine metric, Riemannian geometry. [bibtex-entry]


  2. 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, and Xavier Pennec. Introduction to Geometric Learning in Python with Geomstats. In Meghann Agarwal, Chris Calloway, Dillon Niederhut, and David Shupe, editors, SciPy 2020 - 19th Python in Science Conference, Austin, Texas, United States, pages 48-57, July 2020. Keyword(s): Index Terms-differential geometry, statistics, manifold, machine learning. [bibtex-entry]


  3. Yann Thanwerdas and Xavier Pennec. Exploration of Balanced Metrics on Symmetric Positive Definite Matrices. In GSI 2019 - 4th conference on Geometric Science of Information, volume Lecture Notes in Computer Science 11712 of Proceedings of Geometric Science of Information, Toulouse, France, pages 484-493, August 2019. Springer. Keyword(s): Information geometry, SPD matrices, Dually flat connections. [bibtex-entry]


  4. Yann Thanwerdas and Xavier Pennec. Is affine invariance well defined on SPD matrices? A principled continuum of metrics. In GSI 2019 - 4th conference on Geometric Science of Information, volume Lecture Notes in Computer Science 11712 of Proceedings of Geometric Science of Information, Toulouse, France, pages 502-510, August 2019. Springer. Keyword(s): Riemannian symmetric spaces, SPD matrices. [bibtex-entry]


Miscellaneous

  1. Yann Thanwerdas and Xavier Pennec. O(n)-invariant Riemannian metrics on SPD matrices. Note: Working paper or preprint, September 2021. Keyword(s): 58D17, 53C22, 15A63, 53B20, Symmetric Positive Definite matrices, Riemannian geometry, Invariance under orthogonal transformations, Families of metrics, Log-Euclidean metric, Affine-invariant metric, Bures-Wasserstein metric, Kernel metrics. [bibtex-entry]



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Last modified: Fri Sep 24 00:30:06 2021
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