323 citations · 324 across the 3 of their papers we have counts for
4 papers
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…
Adaptive Low-Rank Approximations for Operator Equations: Accuracy Control and Computational Complexity
Markus Bachmayr, Wolfgang Dahmen
The challenge of mastering computational tasks of enormous size tends to frequently override questioning the quality of the numerical outcome in terms of accuracy. By this we do no…
Optimal reduced model algorithms for data-based state estimation
Albert Cohen, Wolfgang Dahmen, Ron DeVore +3
Reduced model spaces, such as reduced basis and polynomial chaos, are linear spaces of finite dimension which are designed for the efficient approximation of families par…
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…