323 citations · 420 across the 20 of their papers we have counts for
5 papers · 2 filters
Optimal sampling and Christoffel functions on general domains
Albert Cohen, Matthieu Dolbeault
We consider the problem of reconstructing an unknown function from its evaluations at given sampling points , where is a…
Optimal Stable Nonlinear Approximation
Albert Cohen, Ronald DeVore, Guergana Petrova +1
While it is well known that nonlinear methods of approximation can often perform dramatically better than linear methods, there are still questions on how to measure the optimal pe…
Nonlinear reduced models for state and parameter estimation
Albert Cohen, Wolfgang Dahmen, Olga Mula +1
State estimation aims at approximately reconstructing the solution to a parametrized partial differential equation from linear measurements, when the parameter vector i…
Nonlinear Methods for Model Reduction
Andrea Bonito, Albert Cohen, Ronald DeVore +3
The usual approach to model reduction for parametric partial differential equations (PDEs) is to construct a linear space which approximates well the solution manifold $\math…
State Estimation -- The Role of Reduced Models
Albert Cohen, Wolfgang Dahmen, Ron DeVore
The exploration of complex physical or technological processes usually requires exploiting available information from different sources: (i) physical laws often represented as a fa…