A. Nouy

activity

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 2025Show all

3 papers · 1 filter

math.NA2025

Approximation and learning with compositional tensor trains

Martin Eigel, Charles Miranda, Anthony Nouy +1

We introduce compositional tensor trains (CTTs) for the approximation of multivariate functions, a class of models obtained by composing low-rank functions in the tensor-train form…

math.NA2025

Surrogate to Poincaré inequalities on manifolds for dimension reduction in nonlinear feature spaces

Anthony Nouy, Alexandre Pasco

We aim to approximate a continuously differentiable function $u : R^{d} \to R$ by a composition of functions $f \circ g$ where $g:\mathbb{R}^d \rightarrow \mat…

math.NA2025

Nonlinear manifold approximation using compositional polynomial networks

Antoine Bensalah, Anthony Nouy, Joel Soffo

We consider the problem of approximating a subset $M$ of a Hilbert space $X$ by a low-dimensional manifold $M_{n}$ , using samples from $M$ . We propose a nonlinear approximation metho…