Non-negatively constrained least squares and parameter choice by the residual periodogram for the inversion of dielectric relaxation spectra: Supplementary Materials

TL;DR

This supplementary material discusses advanced methods for inverting dielectric relaxation spectra, focusing on non-negatively constrained least squares and residual periodogram parameter choice, with additional results and comparisons at higher noise levels.

Contribution

It provides supplementary derivations, discussions, and extended results for NCP and L-Curve methods in spectral inversion, enhancing prior work with higher noise analysis.

Findings

NCP method performs well at higher noise levels

Residual periodogram effectively selects regularization parameters

Enhanced comparison of inversion techniques under various noise conditions

Abstract

This document contains supplementary derivations and discussions not provided in the submitted paper arXiv:1309.4498 with the same title. Additional results for the NCP and L-Curve comparisons with higher noise levels are given.