This is a Python implementation of the Kolmogorov-Arnold Neural Networks Framework. The framework is based on the Kolmogorov-Arnold Representation Theorem, which states that any continuous function ...

Abstract: In this paper, we introduce a class of functions inspired by the weighted Lp norm which is used for the control of unicycle robots in planar space. In particular, we prove that these ...

It is well known that sets of finite perimeter can be strictly approximated by smooth sets, while, in general, one cannot hope to approximate an open set Ω of finite perimeter in ℝn strictly from ...