Matthieu Dolbeault

activity

20202022

collaborators

3 papers

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

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.NA2020

Optimal sampling and Christoffel functions on general domains

Albert Cohen, Matthieu Dolbeault

We consider the problem of reconstructing an unknown function $u \in L^{2} (D, μ)$ from its evaluations at given sampling points $x^{1}, \dots, x^{m} \in D$ , where $D \subset R^{d}$ is a…

Nonlinear approximation spaces for inverse problems

Optimal pointwise sampling for L2 approximation

Optimal sampling and Christoffel functions on general domains

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