Metric spaces form the backbone of modern computational geometry by providing a rigorous framework for measuring distances within abstract sets, while geometric approximation algorithms yield ...

Asymmetric normed spaces extend the classical framework of normed spaces by allowing the distance function to lack the symmetry property. This refinement facilitates the capture of directional or ...

Abstract: This paper proposes a Fast Geometric Constructive Neural Network (FastGCNet) that aims to provide a fast learning paradigm for data-driven modelling in resource-constrained Industrial ...

Abstract: The objective of this article is to derive the essential invariance and contraction properties for the geometric periodic systems, which can be formulated as a category of differential ...