Event Abstract Back to Event Regularized Optimal Transport and Applications to Brain Imaging Marco Cuturi1* 1 kyoto university, Albania Optimal transport distances (a.k.a Wasserstein distances or Earth Mover's distances, EMD) define a geometry for empirical measures supported on a metric space. After reviewing the basics of the optimal transport problem, I will show how an adequate regularization of that problem can result in substantially faster computations. I will then show how this regularization can enable several applications of optimal transport to learn from positive measures, and illustrate this talk with an application to brain imaging. Acknowledgements Joint work with A. Gramfort and G. Peyré Keywords: i, don't, Want, to, Enter, keywords Conference: German-Japanese Adaptive BCI Workshop, Kyoto, Japan, 28 Oct - 29 Oct, 2015. Presentation Type: Oral presentation (Invited speakers) Topic: Adaptive BCI Citation: Cuturi M (2015). Regularized Optimal Transport and Applications to Brain Imaging. Front. Comput. Neurosci. Conference Abstract: German-Japanese Adaptive BCI Workshop. doi: 10.3389/conf.fncom.2015.56.00016 Copyright: The abstracts in this collection have not been subject to any Frontiers peer review or checks, and are not endorsed by Frontiers. They are made available through the Frontiers publishing platform as a service to conference organizers and presenters. The copyright in the individual abstracts is owned by the author of each abstract or his/her employer unless otherwise stated. Each abstract, as well as the collection of abstracts, are published under a Creative Commons CC-BY 4.0 (attribution) licence (https://creativecommons.org/licenses/by/4.0/) and may thus be reproduced, translated, adapted and be the subject of derivative works provided the authors and Frontiers are attributed. For Frontiers’ terms and conditions please see https://www.frontiersin.org/legal/terms-and-conditions. Received: 08 Oct 2015; Published Online: 04 Nov 2015. * Correspondence: Prof. Marco Cuturi, kyoto university, tyrana, Albania, mcuturi@i.kyoto-u.ac.jp Login Required This action requires you to be registered with Frontiers and logged in. To register or login click here. Abstract Info Abstract The Authors in Frontiers Marco Cuturi Google Marco Cuturi Google Scholar Marco Cuturi PubMed Marco Cuturi Related Article in Frontiers Google Scholar PubMed Abstract Close Back to top Javascript is disabled. Please enable Javascript in your browser settings in order to see all the content on this page.