Simon Foucart

collaborators

2 papers

math.FA2025

When is a subspace of $ℓ_{\infty}^{N}$ isometrically isomorphic to $ℓ_{\infty}^{n}$ ?

Beata Deregowska, Simon Foucart, Barbara Lewandowska

It is shown in this note that one can decide whether an $n$ -dimensional subspace of $ℓ_{\infty}^{N}$ is isometrically isomorphic to $ℓ_{\infty}^{n}$ by testing a finite number of det…

math.NA2024

Worst-Case Learning under a Multi-fidelity Model

Simon Foucart, Nicolas Hengartner

Inspired by multi-fidelity methods in computer simulations, this article introduces procedures to design surrogates for the input/output relationship of a high-fidelity code. These…

When is a subspace of ℓ∞N​ isometrically isomorphic to ℓ∞n​?

Worst-Case Learning under a Multi-fidelity Model

When is a subspace of $ℓ_{\infty}^{N}$ isometrically isomorphic to $ℓ_{\infty}^{n}$ ?