Eloi TANGUY

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725C1, MAP5, Université Paris-Cité

45, rue des Saints Pères, 75270 Paris Cedex 06, FRANCE

I defended my PhD entitled Theory and Computation of Optimal Transport Variants and supervised by Julie Delon and Agnès Desolneux on the 25th of November 2025. Link to the manuscript. Link to the slides (read with pdfpc to see the animations). Introduction vulgarisée au Transport Optimal en Français, qui se veut accessible au plus grand public.

I study Optimal Transport, in particular Generalised Wasserstein Barycentres, the Sliced Wasserstein Distance and GMM-restricted OT.

After my studies at Ecole Polytechnique (cycle ingénieur), I took the Masters in Mathematics, Vision and Learning (“MVA” in French), where I took Gabriel Peyré’s “Optimal Transport” course (an important reason was that I lived nearby). Enthralled, I took a project on A Wasserstein distance between GMMs. This led me to an internship with Julie Delon and Rémi Flamary on Generalised Wasserstein Barycentres. This internship finished in September 2022, and continued this work and and branched back to GMM-OT and Sliced Wasserstein during my PhD. I am also interested in barycentres of measures, variants of Sliced Wasserstein, Reproducing Kernel Hilbert Spaces, Generative Modelling and Sketching.

In February 2025, I will begin a post-doc in the INRIA OCKHAM team under the supervision of Rémi Gribonval.