Data Unfolding: From Problem Formulation to Result Assessment

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1. Verfasser: Gagunashvili, Nikolay D.
Format: Preprint
Veröffentlicht: 2026
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author Gagunashvili, Nikolay D.
author_facet Gagunashvili, Nikolay D.
contents Experimental data in particle and nuclear physics, particle astrophysics, and radiation protection dosimetry are collected using experimental facilities that consist of a complex system of sensors, electronics, and software. Measured spectra or cross sections are considered as Probability Density Functions (PDFs) that deviate from true PDFs due to resolution, bias, and efficiency effects. Unfolding is viewed as a procedure for estimating an unknown true PDF. Reliable estimates of the true PDF are necessary for testing theoretical models, comparing results from different experiments, and combining results from various research endeavors. Both external and internal quality assessment methods can be applied for this purpose. In some cases, external criteria exist to evaluate deconvolution quality. A typical example is the deconvolution of a blurred image, where the sharpness of the restored image serves as an indicator of quality. However, defining such external criteria can be challenging, particularly when a measurement has not been performed previously. This paper discusses various internal criteria for assessing the quality of the results independently of external information, as well as factors that influence the quality of the unfolded distribution.
format Preprint
id arxiv_https___arxiv_org_abs_2603_03168
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Data Unfolding: From Problem Formulation to Result Assessment
Gagunashvili, Nikolay D.
Data Analysis, Statistics and Probability
Instrumentation and Methods for Astrophysics
High Energy Physics - Experiment
Nuclear Experiment
62-07 (Primary), 62F03, 62F10, 62P35, 62P30 (Secondary)
G.3
Experimental data in particle and nuclear physics, particle astrophysics, and radiation protection dosimetry are collected using experimental facilities that consist of a complex system of sensors, electronics, and software. Measured spectra or cross sections are considered as Probability Density Functions (PDFs) that deviate from true PDFs due to resolution, bias, and efficiency effects. Unfolding is viewed as a procedure for estimating an unknown true PDF. Reliable estimates of the true PDF are necessary for testing theoretical models, comparing results from different experiments, and combining results from various research endeavors. Both external and internal quality assessment methods can be applied for this purpose. In some cases, external criteria exist to evaluate deconvolution quality. A typical example is the deconvolution of a blurred image, where the sharpness of the restored image serves as an indicator of quality. However, defining such external criteria can be challenging, particularly when a measurement has not been performed previously. This paper discusses various internal criteria for assessing the quality of the results independently of external information, as well as factors that influence the quality of the unfolded distribution.
title Data Unfolding: From Problem Formulation to Result Assessment
topic Data Analysis, Statistics and Probability
Instrumentation and Methods for Astrophysics
High Energy Physics - Experiment
Nuclear Experiment
62-07 (Primary), 62F03, 62F10, 62P35, 62P30 (Secondary)
G.3
url https://arxiv.org/abs/2603.03168