Français
Barycenters for transport costs
Multi angle
Authors : Delon, Julie (Author of the conference)
CIRM (Publisher )
49J40 - Variational methods including variational inequalities
49N15 - Duality theory
60A10 - Probabilistic measure theory, {For ergodic theory, See 28Dxx and 60Fxx}
49K21 - Problems involving relations other than differential equations
Additional resources :
https://jdigne.github.io/sigma2024/slides/Delon.pdf
CIRM (Publisher )
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Abstract :
optimal transport; Wasserstein barycenters
MSC Codes : 49J40 - Variational methods including variational inequalities
49N15 - Duality theory
60A10 - Probabilistic measure theory, {For ergodic theory, See 28Dxx and 60Fxx}
49K21 - Problems involving relations other than differential equations
Additional resources :
https://jdigne.github.io/sigma2024/slides/Delon.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 22/11/2024 Conference Date : 28/10/2024 Subseries : Research talks arXiv category : Optimization and Control ; Machine Learning Mathematical Area(s) : Numerical Analysis & Scientific Computing ; Computer Science ; Control Theory & Optimization Format : MP4 (.mp4) - HD Video Time : 00:34:32 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-10-28_Delon 
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Information on the Event
Event Title : SIGMA (Signal, Image, Geometry, Modeling, Approximation) / SIGMA (Signal, Image, Géométrie, Modélisation, Approximation)Event Organizers : Cohen, Albert ; Digne, Julie ; Fadili, Jalal ; Mula, Olga ; Nouy, Anthony Dates : 28/10/2024 - 01/11/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3066.html
Citation Data
DOI : 10.24350/CIRM.V.20257403Cite this video as: Delon, Julie (2024). Barycenters for transport costs. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20257403 URI : http://dx.doi.org/10.24350/CIRM.V.20257403 |
See Also
- [Multi angle] Hierarchical matrices for 3D Helmholtz problems in multi-patch IgA-BEM setting / Author of the conference Sampoli, Maria-Lucia.
- [Multi angle] Navigating, restructuring and reshaping learned latent spaces / Author of the conference Solomon, Justin.
- [Multi angle] New dynamical low-complexity approximations for the Schrödinger equation / Author of the conference Ehrlacher, Virginie.
- [Multi angle] High-dimentional classification with deep neural networks: decision boundaries, noise, and margin / Author of the conference Petersen, Philipp.
Bibliography
- DELON, Julie, GOZLAN, Nathael, et SAINT DIZIER, Alexandre. Generalized Wasserstein barycenters between probability measures living on different subspaces. The Annals of Applied Probability, 2023, vol. 33, no 6A, p. 4395-4423. - http:// https://doi.org/10.1214/22-AAP1922
- AGUEH, Martial et CARLIER, Guillaume. Barycenters in the Wasserstein space. SIAM Journal on Mathematical Analysis, 2011, vol. 43, no 2, p. 904-924. - https://doi.org/10.1137/100805741
- ÁLVAREZ-ESTEBAN, Pedro C., DEL BARRIO, E., CUESTA-ALBERTOS, J. A., et al. A fixed-point approach to barycenters in Wasserstein space. Journal of Mathematical Analysis and Applications, 2016, vol. 441, no 2, p. 744-762. - https://doi.org/10.1016/j.jmaa.2016.04.045
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