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 multiresolution ...

It is well known that wavelets provide good non-linear approximation of one-dimensional (1-D) piecewise smooth functions. However, it has been shown that the use of a basis with good approximation ...

3.1 Piecewise Polynomial Interpolation A quite natural and different approach to approximate a function on an interval is to first split the interval into subintervals and then approximate the ...

Many data are suitably modeled by functions consisting of straight-line segments. These functions may be called piecewise-linear. Smooth functions that are related to the hyperbola and that have ...

but not for equality constraints as they would most likely not be satisfiable. The code is under MIT license, and is free to use, modify, or distribute. Just copy and paste for whatever project you ...

We define two functions f and g on the unit interval [0, 1] to be strongly conjugate $\operatorname {iff}$ there is an order-preserving homeomorphism h of [0, 1] such that g = h -1 fh (a minor ...

This repository is the official implementation of Appendix D in the supplementary material of the paper, Improved Bounds on Neural Complexity for Representing Piecewise Linear Functions. Download the ...

Abstract We present wavelet bases made of piecewise (low degree) polynomial functions with an (arbitrary) assigned number of vanishing moments. We study some of the properties of these wavelet bases; ...