2 citations · 2 across the 4 of their papers we have counts for
4 papers
Surrogate to Poincaré inequalities on manifolds for structured dimension reduction in nonlinear feature spaces
Alexandre Pasco, Anthony Nouy
This paper is concerned with the approximation of continuously differentiable functions with high-dimensional input by a composition of two functions: a feature map that extracts f…
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 by a composition of functions where $g:\mathbb{R}^d \rightarrow \mat…
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…
Random sketching of operators with application to learning preconditioners
Oleg Balabanov, Anthony Nouy, Alexandre Pasco
We propose a new random sketching approach for embedding high-dimensional Hilbert-Schmidt operators, using random input-output pairs. Such operator can then be approximated in a lo…