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 ...
SIAM Journal on Numerical Analysis, Vol. 38, No. 3 (2001), pp. 770-798 (29 pages) The lowest order Raviart-Thomas rectangular element is considered for solving the singular perturbation problem -div(a ...
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 ...
Abstract: We study sample average approximations under adaptive importance sampling in which the sample densities may depend on previous random samples. Based on a generic uniform law of large numbers ...
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 ...
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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