Discrete Ricci curvature formulations offer novel perspectives for characterizing geometric properties of weighted graphs. This work proposes continuous piecewise linear Ricci curvature flows and ...

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 ...

Abstract: This paper deals with piecewise-affine functions as Lyapunov function candidates for stability analysis of time-invariant discrete-time linear systems with saturating closed-loop control ...

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

This paper considers a stochastic shortest path problem where the arc lengths are independent random variables following a normal distribution. In this problem, the optimal path is one that maximizes ...

This is a preview. Log in through your library . Abstract Many data are suitably modeled by functions consisting of straight-line segments. These functions may be called piecewise-linear. Smooth ...

This paper studies multiperiodicity and attractivity for a class of recurrent neural networks (RNNs) with unsaturating piecewise linear transfer functions and variable delays. Using local inhibition, ...