323 citations · 346 across the 14 of their papers we have counts for
3 papers · 2 filters
Neural Network Approximation
Ronald DeVore, Boris Hanin, Guergana Petrova
Neural Networks (NNs) are the method of choice for building learning algorithms. Their popularity stems from their empirical success on several challenging learning problems. Howev…
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 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…