Review of unfolding methods

Yu.V. Bogomolov^†^a, b, V.V. Alekseev^a, b, O.A. Levanova^‡^a, b, A.G. Mayorov^a, V.V. Malakhov^a
^aNational Research Nuclear University ‘MEPhI’, Kashirskoe shosse 31, Moscow, 115409, Russian Federation
^bDemidov Yaroslavl State University, Sovetskaya st. 14, Yaroslavl, 150000, Russian Federation

Very high accuracy and sensitivity have become attainable by modern instruments for experimental measurements of physical quantities in various scientific fields. Yet it is still impossible to completely eliminate the influence of instrumental effects on the result. The measured values of a physical quantity inevitably differ, sometimes significantly, from the true ones. The question therefore arises of restoring the true distributions from the measured ones, taking the specific features of the experiment and the characteristics of scientific instruments into account. Different approaches are in use based on a mathematical model of the instrument and the formulation of the deconvolution problem. We describe this problem, key ideas and methods for its solution, and features and implementation details using the example of elementary particle physics and space physics experiments.

Correspondence should be addressed to
Keywords: unfolding, deconvolution, spectrum restoration methods, statistical estimates, Bayesian methods, regularization, binning-free methods, machine learning
PACS: 02.50.−r, 02.60.−x, 96.50.S−, 96.50.sb (all)
DOI: 10.3367/UFNe.2022.05.039189
URL: https://ufn.ru/en/articles/2023/6/d/
Web of Science

001112624000004
Scopus

2-s2.0-85163239655
ADS NASA

2023PhyU...66..628B
Citation: Bogomolov Yu V, Alekseev V V, Levanova O A, Mayorov A G, Malakhov V V "Review of unfolding methods" Phys. Usp. 66 628–642 (2023)

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Received: 23rd, January 2022, revised: 7th, April 2022, accepted: 2nd, May 2022

Оригинал: Богомолов Ю В, Алексеев В В, Леванова О А, Майоров А Г, Малахов В В «Обзор методов обратной свёртки» УФН 193 669–685 (2023); DOI: 10.3367/UFNr.2022.05.039189

References (195) Cited by (3) Similar articles (20) ↓

A.B. Aleksandrov, A.V. Bagulya et al “Charge spectrum of galactic cosmic ray nuclei as measured in meteorite olivines” Phys. Usp. 53 805–808 (2010)
I.S. Zeilikovich, A.M. Lyalikov “Holographic methods for regulating the sensitivity of interference measurements for transparent media diagnostics” Sov. Phys. Usp. 34 (1) 74–85 (1991)
A.V. Butenko, O.I. Brovko et al “NICA Booster: a new-generation superconducting synchrotron” Phys. Usp. 66 195–212 (2023)
A.I. Kartashev, I.Sh. Etsin “Methods of Measuring Small Phase Difference Changes in Interference Devices” Sov. Phys. Usp. 15 232–250 (1972)
V.G. Lukin, O.G. Khvostenko “Negative ion adsorption by the ion source surface as a factor influencing ion lifetime measurements” Phys. Usp. 60 911–930 (2017)
G.A. Gusev, B.N. Lomonosov et al “Ice satellites of planets of the Solar System and the on-orbit radio detection of ultrahigh-energy particles” Phys. Usp. 53 915–921 (2010)
V.P. Khodunkov “Physical and technical aspects of radiometric thermometry from the standpoint of a new definition of the temperature unit” Phys. Usp. 67 706–716 (2024)
M.N. Achasov, V.E. Blinov et al “Experiments at the Super Charm-Tau factory” Phys. Usp. 67 55–70 (2024)
K.B. Fritzler, V.Ya. Prinz “3D printing methods for micro- and nanostructures” Phys. Usp. 62 54–69 (2019)
P.G. Kryukov “Lasers and fiber optics for astrophysics” Phys. Usp. 61 1072–1078 (2018)
V.L. Vaks, E.G. Domracheva et al “Exhaled breath analysis: physical methods, instruments and medical diagnostics” Phys. Usp. 57 684–701 (2014)
Yu.I. Vorontsov “Standard quantum limits of measurement error and methods of overcoming them” Phys. Usp. 37 81–96 (1994)
L.S. Gorn, B.I. Khazanov “Radiation measurements in space” Sov. Phys. Usp. 11 437–452 (1968)
N.N. Rubtsova, S.A. Kochubei et al “Polarization echo-spectroscopy in a gas at the transition 0—1” Phys. Usp. 66 1008–1024 (2023)
I.Yu. Eremchev, D.V. Prokopova et al “Three-dimensional fluorescence nanoscopy of single quantum emitters based on the optics of spiral light beams” Phys. Usp. 65 617–626 (2022)
A.V. Eremin “Passive and active laser methods for studying kinetics of nonequilibrium processes in shock tubes” Phys. Usp. 68 675–690 (2025)
V.V. Lider “Pumping and X-ray probing technique” Phys. Usp. 68 905–922 (2025)
V.G. Lukin, O.G. Khvostenko “Desorption processes in the measurement of weak currents” Phys. Usp. 63 487–499 (2020)
E.B. Levichev, A.N. Skrinskii et al “High precision particle mass measurements using the KEDR detector at the VEPP-4M collider” Phys. Usp. 57 66–79 (2014)
V.V. Lider “X-ray crystal interferometers” Phys. Usp. 57 1099–1117 (2014)

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