72 citations · 536 across the 51 of their papers we have counts for
5 papers · 1 filter
Singular Value Decomposition in Sobolev Spaces: Part II
Mazen Ali, Anthony Nouy
Under certain conditions, an element of a tensor product space can be identified with a compact operator and the singular value decomposition (SVD) applies to the latter. These con…
Learning high-dimensional probability distributions using tree tensor networks
Erwan Grelier, Anthony Nouy, Régis Lebrun
We consider the problem of the estimation of a high-dimensional probability distribution from i.i.d. samples of the distribution using model classes of functions in tree-based tens…
Boosted optimal weighted least-squares
Cécile Haberstich, Anthony Nouy, Guillaume Perrin
This paper is concerned with the approximation of a function in a given approximation space of dimension from evaluations of the function at suitably chosen point…
Randomized linear algebra for model reduction. Part II: minimal residual methods and dictionary-based approximation
Oleg Balabanov, Anthony Nouy
A methodology for using random sketching in the context of model order reduction for high-dimensional parameter-dependent systems of equations was introduced in [Balabanov and Nouy…
Stochastic methods for solving high-dimensional partial differential equations
Marie Billaud-Friess, Arthur Macherey, Anthony Nouy +1
We propose algorithms for solving high-dimensional Partial Differential Equations (PDEs) that combine a probabilistic interpretation of PDEs, through Feynman-Kac representation, wi…