2 citations · 4 across the 6 of their papers we have counts for
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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…
Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension
Albert Cohen, Giovanni Migliorati, Fabio Nobile
We analyze the accuracy of the discrete least-squares approximation of a function in multivariate polynomial spaces wit…
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…
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…