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20112026
most citedA least-squares method for sparse low rank approximation of multivariate functions

72 citations · 536 across the 51 of their papers we have counts for

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Showing 2023Show all

5 papers · 1 filter

math.NA2023

Weighted least-squares approximation with determinantal point processes and generalized volume sampling

Anthony Nouy, Bertrand Michel

We consider the problem of approximating a function from by an element of a given -dimensional space , associated with some feature map , using evaluati…

math.NA2023★ 1 cited

Weighted sparsity and sparse tensor networks for least squares approximation

Philipp Trunschke, Anthony Nouy, Martin Eigel

Approximation of high-dimensional functions is a problem in many scientific fields that is only feasible if advantageous structural properties, such as sparsity in a given basis, c…

math.NA2023★ 5 cited

A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws

Clément Cardoen, Swann Marx, Anthony Nouy +1

We propose a numerical method to solve parameter-dependent hyperbolic partial differential equations (PDEs) with a moment approach, based on a previous work from Marx et al. (2020)…

math.NA2023

A probabilistic reduced basis method for parameter-dependent problems

Marie Billaud-Friess, Arthur Macherey, Anthony Nouy +1

Probabilistic variants of Model Order Reduction (MOR) methods have recently emerged for improving stability and computational performance of classical approaches. In this paper, we…

math.NA2023

Dictionary-based model reduction for state estimation

Anthony Nouy, Alexandre Pasco

We consider the problem of state estimation from a few linear measurements, where the state to recover is an element of the manifold of solutions of a parameter-depen…