A. Cohen

activity

20082023

most citedApproximation and learning by greedy algorithms

323 citations · 420 across the 20 of their papers we have counts for

collaborators

31 papers

math.AP2023

Reduced order modeling for elliptic problems with high contrast diffusion coefficients

Albert Cohen, Matthieu Dolbeault, Agustin Somacal +1

We consider the parametric elliptic PDE $- div (a (y) \nabla u) = f$ on a spatial domain $Ω$ , with $a (y)$ a scalar piecewise constant diffusion coefficient taking any positive val…

math.NA2023

Solving PDEs with Incomplete Information

Peter Binev, Andrea Bonito, Albert Cohen +3

We consider the problem of numerically approximating the solutions to a partial differential equation (PDE) when there is insufficient information to determine a unique solution. O…

math.NA2022

Nonlinear approximation spaces for inverse problems

Albert Cohen, Matthieu Dolbeault, Olga Mula +1

This paper is concerned with the ubiquitous inverse problem of recovering an unknown function u from finitely many measurements possibly affected by noise. In recent years, inversi…

math.NA2021★ 38 cited

Optimal pointwise sampling for $L^{2}$ approximation

Albert Cohen, Matthieu Dolbeault

Given a function $u \in L^{2} = L^{2} (D, μ)$ , where $D \subset R^{d}$ and $μ$ is a measure on $D$ , and a linear subspace $V_{n} \subset L^{2}$ of dimension $n$ , we show that near-best appr…

math.NA2021

Near-optimal approximation methods for elliptic PDEs with lognormal coefficients

Albert Cohen, Giovanni Migliorati

This paper studies numerical methods for the approximation of elliptic PDEs with lognormal coefficients of the form $- div (a \nabla u) = f$ where $a = exp (b)$ and $b$ is a Gaussia…

math.NA2020

Optimal sampling and Christoffel functions on general domains