Výsledky vyhledávání - "Maxime Laborde"

A regularization interpretation of the proximal point method for weakly convex functions

Autor: Adam M. Oberman, Tim Hoheisel, Maxime Laborde

Publikováno v: Journal of Dynamics & Games. 7:79-96

Empirical evidence and theoretical results suggest that the proximal point method can be computed approximately and still converge faster than the corresponding gradient descent method, in both the stochastic and exact gradient case. In this article

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d46696032e62955604869ec0f3bdbde9
https://doi.org/10.3934/jdg.2020005

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Cardiac EGM Automatic Screening of egms transmitted by Implantable Electronic Devices

Autor: Narimane Gassa, Benjamin Sacristan, Nejib Zemzemi, Maxime Laborde, Juan Garrido Oliver, Clara Matencio Perabla, Guillermo Jimenez-Perez, Oscar Camara, Sylvain Ploux, Marc Strik, Pierre Bordachar, Remi Dubois

This is an abstrat submitted and accepted in the CinC conference 2021

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Nonlinear systems coupled through multi-marginal transport problems

Autor: Maxime Laborde

Publikováno v: European Journal of Applied Mathematics. 31:450-469

In this paper, we introduce a dynamical urban planning model. This leads to the study of a system of nonlinear equations coupled through multi-marginal optimal transport problems. A first example consists in solving two equations coupled through the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d9f9368cfc7efc6cb536c19c0dbb756
https://doi.org/10.1017/s0956792519000123

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On the Wasserstein distance between mutually singular measures

Autor: Guillaume Carlier, Maxime Laborde, Giuseppe Buttazzo

Publikováno v: Advances in Calculus of Variation
Advances in Calculus of Variation, Walter de Gruyter GmbH, 2020

We study the Wasserstein distance between two measures μ , ν {\mu,\nu} which are mutually singular. In particular, we are interested in minimization problems of the form W ⁢ ( μ , 𝒜 ) = inf ⁡ { W ⁢ ( μ , ν ) : ν ∈ 𝒜 } , W(\mu,\mat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25c414d045cdf466a692b17fa15ef62d
https://hal.archives-ouvertes.fr/hal-01552246/document

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A differential approach to the multi-marginal Schrödinger system

Autor: Guillaume Carlier, Maxime Laborde

Publikováno v: SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, 2020, ⟨10.1137/19M1253800⟩
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2020

International audience; We develop an elementary and self-contained differential approach, in an L ∞ setting, for well-posedness (existence, uniqueness and smooth dependence with respect to the data) for the multi-marginal Schrödinger system which

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6104c7f45cb9c5dd727f1b5774398ab
https://hal.science/hal-01918578v2/file/schrodinger-multi-marge.pdf

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On Cross-Diffusion Systems for Two Populations Subject to a Common Congestion Effect

Autor: Maxime Laborde

Publikováno v: Applied Mathematics & Optimization. 81:989-1020

In this paper, we investigate the existence of solution for systems of Fokker-Planck equations coupled through a common nonlinear congestion. Two different kinds of congestion are considered: a porous media congestion or soft congestion and the hard

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b744fe4a4bca65c6ed03633d978f59f
https://doi.org/10.1007/s00245-018-9527-4

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A splitting method for nonlinear diffusions with nonlocal, nonpotential drifts

Autor: Guillaume Carlier, Maxime Laborde

Publikováno v: Nonlinear Analysis: Theory, Methods & Applications. 150:1-18

We prove an existence result for nonlinear diffusion equations in the presence of a nonlocal density-dependent drift which is not necessarily potential. The proof is constructive and based on the Helmholtz decomposition of the drift and a splitting s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c4d2239364942e056dbf5dde22867d58
https://doi.org/10.1016/j.na.2016.10.026

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An augmented Lagrangian approach to Wasserstein gradient flows and applications

Autor: Jean-David Benamou, Guillaume Carlier, Maxime Laborde

Publikováno v: ESAIM: Proceedings and Surveys
ESAIM: Proceedings and Surveys, 2019
ESAIM: Proceedings and Surveys, EDP Sciences, 2019
ESAIM: Proceedings and Surveys, Vol 54, Pp 1-17 (2016)

International audience; Taking advantage of the Benamou-Brenier dynamic formulation of optimal transport, we propose a convex formulation for each step of the JKO scheme for Wasserstein gradient flows which can be attacked by an augmented Lagrangian

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1d6f92f3819e9407368253b0456586d
https://hal.science/hal-01245184/document

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Remarks on continuity equations with nonlinear diffusion and nonlocal drifts

Autor: Guillaume Carlier, Maxime Laborde

Publikováno v: Journal of Mathematical Analysis and Applications. 444:1690-1702

This paper is devoted to existence and uniqueness results for some classes of nonlinear diffusion equations in the presence of a regular drift term. These equations may be viewed as regular perturbations of Wasserstein gradient flows but the drift te

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9d9ad978d1f418f9b8c2ed251424b712
https://doi.org/10.1016/j.jmaa.2016.07.061

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Simulation of multiphase porous media flows with minimizing movement and finite volume schemes

Autor: Maxime Laborde, Thomas Gallouët, Clément Cancès, Léonard Monsaingeon

Publikováno v: European Journal of Applied Mathematics
European Journal of Applied Mathematics, 2019, 30 (6), pp.1123-1152. ⟨10.1017/S0956792518000633⟩
European Journal of Applied Mathematics, Cambridge University Press (CUP), 2019, 30 (6), pp.1123-1152. ⟨10.1017/S0956792518000633⟩

The Wasserstein gradient flow structure of the partial differential equation system governing multiphase flows in porous media was recently highlighted in Cancès et al. [Anal. PDE10(8), 1845–1876]. The model can thus be approximated by means of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de66c3e06d8eeca839a489caf82d7e4a
http://arxiv.org/abs/1802.01321

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