323 citations · 326 across the 2 of their papers we have counts for
4 papers
Approximation of high-dimensional parametric PDEs
Albert Cohen, Ronald Devore
Parametrized families of PDEs arise in various contexts such as inverse problems, control and optimization, risk assessment, and uncertainty quantification. In most of these applic…
Kolmogorov widths under holomorphic mappings
Albert Cohen, Ronald Devore
If is a bounded linear operator mapping the Banach space into the Banach space and is a compact set in , then the Kolmogorov widths of the image do not ex…
Approximation and learning by greedy algorithms
Andrew R. Barron, Albert Cohen, Wolfgang Dahmen +1
We consider the problem of approximating a given element from a Hilbert space by means of greedy algorithms and the application of such procedures to the regressi…
Approximation using scattered shifts of a multivariate function
Ronald DeVore, Amos Ron
The approximation of a general -variate function by the shifts , $ξ\inΞ\subset \Rd$, of a fixed function occurs in many applications such as data fitting, ne…