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 ...
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On the uniform convergence of a 𝑞-series

This is a preview. Log in through your library . Abstract The paper deals with a class of linear positive operators expressed by q-series. By using modulus of ...
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

Convergence of Polynomial Level Sets

In this paper we give a characterization of pointwise and uniform convergence of sequences of homogeneous polynomials on a Banach space by means of the convergence of their level sets. Results are ...