Théo Dumont
PhD student in mathematics at LIGM (Paris).
I am a PhD student in optimal transport at the LIGM (Université Gustave Eiffel) under the supervision of François-Xavier Vialard, Théo Lacombe and Virginie Ehrlacher. Just before that, I worked with Philipp Harms (NTU Singapore) and Klas Modin (Chalmers University) on some topics related to the infinite-dimensional geometry of optimal transport.
My interests span the theory of optimal transport (OT), infinite-dimensional Riemannian geometry and machine learning, and I am passionate about the interplay between those fields. I am currently working on the geometry of several OT-related problems, such as Gromov–Wasserstein, on gradient flows on the space of probability measures, and on the geometry of neural networks. I am always happy to discuss, so feel free to contact me!
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News
Oct 29, 2024 | I gave a talk at the Congrès des Jeunes Chercheur.es en Mathématiques Appliquées (CJC-MA) in Lyon, on the existence of Monge maps for the Gromov–Wasserstein problem. [slides, paper] |
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Aug 7, 2024 | I presented a poster at the Machine Learning in Infinite Dimensions workshop in Bath, on the existence of Monge maps for the Gromov–Wasserstein problem. [poster, paper] |
May 29, 2024 | I presented a poster at the Geometric Sciences in Action conference in Marseille, on the existence of Monge maps for the Gromov–Wasserstein problem. It won the competition! [poster, paper] |
Jan 19, 2024 | I gave a talk at the MAP5 lab PhDs’ seminar about the existence of Monge maps for the Gromov–Wasserstein problem. [slides, paper] |
Nov 24, 2023 | I gave a talk at the Oberwolfach seminar Variational and information flows in machine learning and optimal transport about the existence of Monge maps for the Gromov–Wasserstein problem. [slides, paper] |