This repository houses a set of functions dedicated to the study of how well neural networks can learn a piecewise function dataset of varying complexity. You will find code dedicated to generating ...

In the realm of Finite Element Analysis (FEA), accurately solving complex engineering problems hinges on the ability to approximate solutions to differential equations. A crucial technique in this ...

📊 Help Students Master Piecewise Functions in High School Algebra with a Little Help from ChatGPT! ChatGPT Prompt: I am a high school algebra teacher. Create a set of 10 practice problems involving ...

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 ...

Description: 👉 Learn how to graph piecewise functions. A piecewise function is a function which has more than one sub-function for different sub-intervals (sub-domains) of the function's domain. To ...

Abstract: We develop a novel 2D functional learning framework that employs a sparsity-promoting regularization based on second-order derivatives. Motivated by the nature of the regularizer, we ...

Abstract: In this paper we develop an entirely new constructive global analysis methodology for a class of hybrid systems known as Piecewise Linear Systems (PLS). This methodology consists in ...