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07/28/2023
Weighted variation spaces and approximation by shallow ReLU networks
We investigate the approximation of functions f on a bounded domain Ω⊂ℝ^...
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01/13/2023
Solving PDEs with Incomplete Information
We consider the problem of numerically approximating the solutions to a ...
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03/30/2022
Optimal Learning
This paper studies the problem of learning an unknown function f from gi...
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07/28/2021
Neural Network Approximation of Refinable Functions
In the desire to quantify the success of neural networks in deep learnin...
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12/28/2020
Neural Network Approximation
Neural Networks (NNs) are the method of choice for building learning alg...
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09/21/2020
Optimal Stable Nonlinear Approximation
While it is well known that nonlinear methods of approximation can often...
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05/06/2020