In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise ...

A python implementation of the algorithm used to generate optimal piecewise linear approximations of convex functions proposed by Imamoto and Tang [1]. The algorithm uses an iterative search to find ...

Abstract: One of the most important properties of neural nets (NNs) for control purposes is the universal approximation property. Unfortunately,, this property is generally proven for continuous ...

Abstract: This paper discusses piecewise bilinear models and recurrent fuzzy systems as particular classes of dynamic fuzzy systems, which can be dealt with in the same framework due to their ...

This repo contains some Python tooling to simplify linear combinations of piecewise linear functions, then finally emit them (and their first derivatives) as Excel formulas. The motivating application ...