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15 papers · 1 filter
Robust Polyhedral Regularization
Samuel Vaiter, Gabriel Peyré, Jalal Fadili
In this paper, we establish robustness to noise perturbations of polyhedral regularization of linear inverse problems. We provide a sufficient condition that ensures that the polyh…
Risk measures for processes and BSDEs
Irina Penner, Anthony Reveillac
The paper analyzes risk assessment for cash flows in continuous time using the notion of convex risk measures for processes. By combining a decomposition result for optional measur…
Learning Heteroscedastic Models by Convex Programming under Group Sparsity
Arnak S. Dalalyan, Mohamed Hebiri, Katia Méziani +1
Popular sparse estimation methods based on -relaxation, such as the Lasso and the Dantzig selector, require the knowledge of the variance of the noise in order to properly…
Porous media, Fast diffusion equations and the existence of global weak solution for the quasi-solution of compressible Navier-Stokes equations
Boris Haspot
In \cite{arxiv,arxiv1,Kor,cras1,cras2}, we have developed a new tool called \textit{quasi solutions} which approximate in some sense the compressible Navier-Stokes equation. In par…
Existence of global strong solution for Korteweg system with large infinite energy initial data
Boris Haspot
This work is devoted to the study of the initial boundary value problem for a general isothermal model of capillary fluids derived by J.E Dunn and J.Serrin (1985), which can be use…
On the controllability of the non-isentropic 1-D Euler equation
Olivier Glass
In this paper, we examine the question of the boundary controllability of the one-dimensional non-isentropic Euler equation for compressible polytropic gas, in the context of weak…