Abstract: We study the statement that every locally lipschitz function is globally lipschitz for functions on various domains and codomains within the programme of constructive reverse mathematics. We ...

We show that on a separable Banach space most Lipschitz functions have maximal Clarke subdifferential mappings. In particular, the generic nonexpansive function has the dual unit ball as its Clarke ...

Abstract: The rendering of an implicit surface requires many function evaluations of the underlying implicit function. The time efficiency of the rendering is dominated by the number of function ...

This repository implements ECP algorithm for solving non-convex black-box global optimization problems, as introduced in Every Call is Precious: Global Optimization of Black-Box Functions with Unknown ...

Fourier analysis provides a powerful framework for decomposing functions into sums or integrals of sinusoidal components, thereby enabling the study of frequency content in signals. In tandem, ...

The main purpose of our project is to study spaces of so-called continuous and Lipschitz functions—special kind of mathematical spaces consisting of “regular” and “nice” functions—in the context of ...

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 ...