Abstract: The canonical representation of piecewise-linear (PWL) functions provides a global compact formulation of continuous PWL functions, which has significant advantages in the research and ...

Abstract: This paper revisits the problem of estimating the domain of attraction of linear systems with piecewise linear function in the input. We construct a generalized piecewise quadratic Lyapunov ...

Fitting-Piecewise-Linear-Continuous Approximate time-position trajectory by continuous piecewise linear function and find breakpoints and slopes. Supplementary Information Segmentation analysis of ...

This is the second post (here’s the first one) about an approach to introducing the derivative to calculus students that is counter to what I’ve seen in textbooks and other traditional treatments of ...

This article is concerned with the computational aspect of l₁ regularization problems with a certain class of piecewise linear loss functions. The problem of computing the l₁ regularization path for a ...

A theory of plasticity is considered in which the yield function is a piecewise linear function of the stresses, the flow law is based on the plastic potential, and the strain-hardening is isotropic ...

Shallow NNs are Universal Function Approximators! In this educational project, I'm going to explore the capabilities of shallow neural networks (NNs) as universal function approximators. I'll start by ...