23 citations · 47 across the 17 of their papers we have counts for
3 papers · 1 filter
Neural network integral representations with the ReLU activation function
Armenak Petrosyan, Anton Dereventsov, Clayton Webster
In this effort, we derive a formula for the integral representation of a shallow neural network with the ReLU activation function. We assume that the outer weighs admit a finite $L…
Greedy Shallow Networks: An Approach for Constructing and Training Neural Networks
Anton Dereventsov, Armenak Petrosyan, Clayton Webster
We present a greedy-based approach to construct an efficient single hidden layer neural network with the ReLU activation that approximates a target function. In our approach we obt…
The Natural Greedy Algorithm for reduced bases in Banach spaces
Anton Dereventsov, Clayton Webster
In this effort we introduce and analyze a novel reduced basis approach, used to construct an approximating subspace for a given set of data. Our technique, which we call the Natura…