IEEE

Uniform Convergence of Deep Neural Networks With Lipschitz Continuous Activation Functions and Variable Widths

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 ...
JSTOR Daily

Uniform Convergence of Series Estimators over Function Spaces

This paper considers a series estimator of 𝗕E[α(Y) λ(X) = λ̄], (α,λ) ∈ 𝒜 × Λ, indexed by function spaces, and establishes the estimator's uniform convergence rate over λ̄ ∈ R, α ∈ 𝐑, and λ ∈ Λ, ...
GitHub

Uniform Convergence of Lipschitz Functions with Dependent Gaussian Samples

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 ...
JSTOR Daily

UNIFORM CONVERGENCE RATES FOR NONPARAMETRIC REGRESSION AND PRINCIPAL COMPONENT ANALYSIS IN FUNCTIONAL/LONGITUDINAL DATA

This is a preview. Log in through your library . Abstract We consider nonparametric estimation of the mean and covariance functions for functional/longitudinal data. Strong uniform convergence rates ...
Scientific Research Publishing

Operator Convergence and the Structure of Physical Reality: Weak, Strong, and Uniform Limits as Models of Field, Mass, and Gravitation ()

We investigate bounded linear operators on separable Hilbert spaces and their convergence properties. We provide connections between uniform, strong, and weak convergence modes and interpret them in ...
Scientific Research Publishing

The uniform convergence of upwind schemes on layer-adapted meshes for a singularly perturbed Robin BVP ()

In this paper, we discuss the uniform convergence of the simple upwind scheme on the Shishkin mesh and the Bakhvalov-Shishkin mesh for solving a singularly perturbed Robin boundary value problem, and ...