Solving inverse problems with the unfolding program TRUEE: Examples in astroparticle physics

Abstract

The unfolding program TRUEE is a software package for the numerical solution of inverse problems. The algorithm was first applied in the FORTRAN77 program RUN. RUN is an event-based unfolding algorithm which makes use of the Tikhonov regularization. It has been tested and compared to different unfolding applications and stood out with notably stable results and reliable error estimation. TRUEE is a conversion of RUN to C++, which works within the powerful ROOT framework. The program has been extended for more user-friendliness and delivers unfolding results which are identical to RUN. Beside the simplicity of the installation of the software and the generation of graphics, there are new functions, which facilitate the choice of unfolding parameters and observables for the user. In this paper, we introduce the new unfolding program and present its performance by applying it to two exemplary data sets from astroparticle physics, taken with the MAGIC telescopes and the IceCube neutrino detector, respectively.

References in corpus (7)

• Calculation of atmospheric neutrino flux using the interaction model calibrated with atmospheric muon data
• Implementation of the Random Forest Method for the Imaging Atmospheric Cherenkov Telescope MAGIC
• Measurement of the atmospheric neutrino energy spectrum from 100 GeV to 400 TeV with IceCube
• IceCube: An Instrument for Neutrino Astronomy
• Unfolding of differential energy spectra in the MAGIC experiment
• Performance of the MAGIC Stereo System
• Comparison of muon and neutrino times from decays of mesons in the atmosphere

Cited by in corpus (7)

• Development of a General Analysis and Unfolding Scheme and its Application to Measure the Energy Spectrum of Atmospheric Neutrinos with IceCube
• Statistical unfolding of elementary particle spectra: Empirical Bayes estimation and bias-corrected uncertainty quantification
• Iterative unfolding with the Richardson-Lucy algorithm
• Measurement of the ${\nu }_{\mu }$ energy spectrum with IceCube-79
• Analysis Methods for Gamma-ray Astronomy
• A practical way to regularize unfolding of sharply varying spectra with low data statistics
• Empirical Bayes unfolding of elementary particle spectra at the Large Hadron Collider