Copyright © 2015 by author and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). We ...
Abstract: We consider deep neural networks (DNNs) with a Lipschitz continuous activation function and with weight matrices of variable widths. We establish a uniform convergence analysis framework in ...
This repository contains the research paper and code related to Uniform Convergence of Lipschitz Functions with Dependent Gaussian Samples. The work provides theoretical bounds for learning Lipschitz ...
Abstract. In this work, we discuss various kinds of ℐ₂-uniform convergence for double sequences of functions and introduce the concepts of ℐ₂ and ℐ 2 ∗ -uniform convergence, ℐ₂-uniformly Cauchy ...
This is a preview. Log in through your library . Abstract In the present paper, we shall establish one of our earlier conjectures by proving that on compact subsets of a *-foundation semigroup S with ...
We study the approximation properties of the extremal polynomials in Ap?norm and C?norm. We prove estimates for the rate of such convergence of the sequence of the extremal polynomials on domains with ...