Nonlinear Spectral Analysis via One-homogeneous Functionals - Overview and Future Prospects
Spectral Theory
2015-10-06 v1 Computer Vision and Pattern Recognition
Numerical Analysis
Numerical Analysis
Abstract
We present in this paper the motivation and theory of nonlinear spectral representations, based on convex regularizing functionals. Some comparisons and analogies are drawn to the fields of signal processing, harmonic analysis and sparse representations. The basic approach, main results and initial applications are shown. A discussion of open problems and future directions concludes this work.
Cite
@article{arxiv.1510.01077,
title = {Nonlinear Spectral Analysis via One-homogeneous Functionals - Overview and Future Prospects},
author = {Guy Gilboa and Michael Moeller and Martin Burger},
journal= {arXiv preprint arXiv:1510.01077},
year = {2015}
}