323 citations · 420 across the 20 of their papers we have counts for
4 papers · 2 filters
Multivariate approximation in downward closed polynomial spaces
Albert Cohen, Giovanni Migliorati
The task of approximating a function of d variables from its evaluations at a given number of points is ubiquitous in numerical analysis and engineering applications. When d is lar…
Optimal weighted least-squares methods
Albert Cohen, Giovanni Migliorati
We consider the problem of reconstructing an unknown bounded function defined on a domain from noiseless or noisy samples of at points $(x^i)_{i…
Parametric PDEs: Sparse or Low-Rank Approximations?
Markus Bachmayr, Albert Cohen, Wolfgang Dahmen
We consider adaptive approximations of the parameter-to-solution map for elliptic operator equations depending on a large or infinite number of parameters, comparing approximation…
Representations of Gaussian random fields and approximation of elliptic PDEs with lognormal coefficients
Markus Bachmayr, Albert Cohen, Giovanni Migliorati
Approximation of elliptic PDEs with random diffusion coefficients typically requires a representation of the diffusion field in terms of a sequence of scalar ra…