Search Results - "Carlier, Guillaume"

Convergence rate of general entropic optimal transport costs by Carlier, Guillaume, Pegon, Paul, Tamanini, Luca

“…We investigate the convergence rate of the optimal entropic cost v ε to the optimal transport cost as the noise parameter ε ↓ 0 . We show that for a large…”
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Softening Bilevel Problems Via Two-scale Gibbs Measures by Carlier, Guillaume, Mallozzi, Lina

“…We introduce a new, and elementary, approximation method for bilevel optimization problems motivated by Stackelberg leader-follower games. Our technique is…”
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Vector quantile regression and optimal transport, from theory to numerics by Carlier, Guillaume, Chernozhukov, Victor, De Bie, Gwendoline, Galichon, Alfred

“…In this paper, we first revisit the Koenker and Bassett variational approach to (univariate) quantile regression, emphasizing its link with latent factor…”
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Correction to: Vector quantile regression and optimal transport, from theory to numerics by Carlier, Guillaume, Chernozhukov, Victor, De Bie, Gwendoline, Galichon, Alfred

“…The article Vector quantile regression and optimal transport, from theory to numerics, written by Guillaume Carlier…”
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Congested traffic dynamics, weak flows and very degenerate elliptic equations by Brasco, Lorenzo, Carlier, Guillaume, Santambrogio, Filippo

“…Starting from a model of traffic congestion, we introduce a minimal-flow-like variational problem whose solution is characterized by a very degenerate elliptic…”
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Hexavalent chromium mobility in a high amorphous phase chromite ore processing residue (COPR) in the perspective of a chromium remediation treatment by Sanchez-Hachair, Arnaud, Henry, Natacha, Bastien, Valentin, Diakite, Khadijetou, Carlier, Guillaume, Lefebvre, Gaëtan, Hébrard-Labit, Céline, Hofmann, Annette

“…The mineralogical and chemical composition of chromite ore processing residue (COPR) from a site in the north of France (Lille) was investigated. The…”
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An augmented Lagrangian approach to Wasserstein gradient flows and applications by Benamou, Jean-David, Carlier, Guillaume, Laborde, Maxime

“…Taking advantage of the Benamou-Brenier dynamic formulation of optimal transport, we propose a convex formulation for each step of the JKO scheme for…”
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VECTOR QUANTILE REGRESSION: AN OPTIMAL TRANSPORT APPROACH by Carlier, Guillaume, Chernozhukov, Victor, Galichon, Alfred

“…We propose a notion of conditional vector quantile function and a vector quantile regression. A conditional vector quantile function (CVQF) of a random vector…”
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From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem by Blanchet, Adrien, Carlier, Guillaume

“…The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of N player games. Analysis of Nash equilibria is…”
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A splitting method for nonlinear diffusions with nonlocal, nonpotential drifts by Carlier, Guillaume, Laborde, Maxime

“…We prove an existence result for nonlinear diffusion equations in the presence of a nonlocal density-dependent drift which is not necessarily potential. The…”
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Approximation of variational problems with a convexity constraint by PDEs of Abreu type by Carlier, Guillaume, Radice, Teresa

“…Motivated by some variational problems subject to a convexity constraint, we consider an approximation using the logarithm of the Hessian determinant as a…”
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Optimal monopoly pricing with congestion and random utility via partial mass transport by Carlier, Guillaume, Mallozzi, Lina

“…We consider a bilevel optimization framework corresponding to a monopoly spatial pricing problem: the price for a set of given facilities maximizes the profit…”
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Optimal Transport and Cournot-Nash Equilibria by Blanchet, Adrien, Carlier, Guillaume

“…We study a class of games with a continuum of players for which a Cournot-Nash equilibria can be obtained by the minimisation of some cost related to optimal…”
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Remarks on continuity equations with nonlinear diffusion and nonlocal drifts by Carlier, Guillaume, Laborde, Maxime

“…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…”
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Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations by Benamou, Jean-David, Carlier, Guillaume

“…Many problems from mass transport can be reformulated as variational problems under a prescribed divergence constraint (static problems) or subject to a…”
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On optimal transport maps between $\frac{1}{d}$-concave densities by Carlier, Guillaume, Figalli, Alessio, Santambrogio, Filippo

“…In this paper we extend the scope of Caffarelli’s contraction theorem, which provides a measure of the Lipschitz constant for optimal transport maps between…”
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Deep relaxation: partial differential equations for optimizing deep neural networks by Chaudhari, Pratik, Oberman, Adam, Osher, Stanley, Soatto, Stefano, Carlier, Guillaume

“…Entropy-SGD is a first-order optimization method which has been used successfully to train deep neural networks. This algorithm, which was motivated by…”
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Entropic Approximation of ∞-Optimal Transport Problems by Brizzi, Camilla, Carlier, Guillaume, De Pascale, Luigi

“…We propose an entropic approximation approach for optimal transportation problems with a supremal cost. We establish Γ -convergence for suitably chosen…”
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Entropic Approximation of $$\infty $$-Optimal Transport Problems by Brizzi, Camilla, Carlier, Guillaume, De Pascale, Luigi

“…Abstract We propose an entropic approximation approach for optimal transportation problems with a supremal cost. We establish $$\Gamma $$ Γ -convergence for…”
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FIXED-WAGES, WAGE DIFFERENTIALS AND WORKER HETEROGENEITIES by CARLIER, GUILLAUME, GAUMONT, DAMIEN

“…We study incentive‐compatible labour contracts in the case where individual productivity, preference for leisure and time preference rate are unobservable by…”
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