research
∙
01/13/2023
Solving PDEs with Incomplete Information
We consider the problem of numerically approximating the solutions to a ...
share
research
∙
11/30/2022
Limitations on approximation by deep and shallow neural networks
We prove Carl's type inequalities for the error of approximation of comp...
research
∙
03/30/2022
Optimal Learning
This paper studies the problem of learning an unknown function f from gi...
research
∙
02/15/2022
On the entropy numbers and the Kolmogorov widths
Direct estimates between linear or nonlinear Kolmogorov widths and entro...
research
∙
11/02/2021
Lipschitz widths
This paper introduces a measure, called Lipschitz widths, of the optimal...
research
∙
07/28/2021
Neural Network Approximation of Refinable Functions
In the desire to quantify the success of neural networks in deep learnin...
research
∙
12/28/2020
Neural Network Approximation
Neural Networks (NNs) are the method of choice for building learning alg...
research
∙
09/21/2020
Optimal Stable Nonlinear Approximation
While it is well known that nonlinear methods of approximation can often...
research
∙
05/06/2020