Search Results for author: Ronald DeVore

Found 3 papers, 0 papers with code

Neural Network Approximation of Refinable Functions

no code implementations28 Jul 2021 Ingrid Daubechies, Ronald DeVore, Nadav Dym, Shira Faigenbaum-Golovin, Shahar Z. Kovalsky, Kung-Ching Lin, Josiah Park, Guergana Petrova, Barak Sober

Namely, we show that refinable functions are approximated by the outputs of deep ReLU networks with a fixed width and increasing depth with accuracy exponential in terms of their number of parameters.

Optimal Learning

no code implementations30 Mar 2022 Peter Binev, Andrea Bonito, Ronald DeVore, Guergana Petrova

The learning problem is to give an approximation $\hat f$ to $f$ that predicts the values of $f$ away from the data.

Weighted variation spaces and approximation by shallow ReLU networks

no code implementations28 Jul 2023 Ronald DeVore, Robert D. Nowak, Rahul Parhi, Jonathan W. Siegel

A new and more proper definition of model classes on domains is given by introducing the concept of weighted variation spaces.

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