In the following table, two lists (abscissa of the nodes and the expressions between and outside the breakpoints), the piecewise function 𝑓(𝑥) is given. Construct a piecewise function of two ...

Abstract: We study representations of piecewise-smooth signals on graphs. We first define classes for smooth, piecewise-constant, and piecewise-smooth graph signals, followed by a series of ...

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