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, ...
IEEE

Uniform Convergence of Lipschitz Functions with Dependent Gaussian Samples

Abstract: In many practical learning problems, training samples are not i.i.d., and there is an intrinsic dependency among samples. Therefore, theoretical study of learning with dependent data has ...
JSTOR Daily

A note on quasi-uniformity and quasi-uniform convergence on function space

In this paper our aim is to study the problem of joint continuity for different types of function spaces with respect to the topology of quasi-uniform convergence as introduced by B. K. Papadopoulos ...
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 ...