Application of Turchin's method of statistical regularization

Application of Turchin's method of statistical regularization

During analysis of experimental data, one usually needs to restore a signal after it has been convoluted with some kind of apparatus function. According to Hadamard's definition this problem is ill-posed and requires regularization to provide sensible results. In this article we describe an imp...

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Main Authors: Zelenyi Mikhail, Poliakova Mariia, Nozik Alexander, Khudyakov Alexey
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817707005
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spelling doaj-7b9d64e2cefd4037ac65b18ce25da9042021-08-02T09:46:54ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011770700510.1051/epjconf/201817707005epjconf_ayss2018_07005Application of Turchin's method of statistical regularizationZelenyi MikhailPoliakova MariiaNozik AlexanderKhudyakov AlexeyDuring analysis of experimental data, one usually needs to restore a signal after it has been convoluted with some kind of apparatus function. According to Hadamard's definition this problem is ill-posed and requires regularization to provide sensible results. In this article we describe an implementation of the Turchin's method of statistical regularization based on the Bayesian approach to the regularization strategy.https://doi.org/10.1051/epjconf/201817707005
collection DOAJ
language English
format Article
sources DOAJ
author Zelenyi Mikhail
Poliakova Mariia
Nozik Alexander
Khudyakov Alexey
spellingShingle Zelenyi Mikhail
Poliakova Mariia
Nozik Alexander
Khudyakov Alexey
Application of Turchin's method of statistical regularization
EPJ Web of Conferences
author_facet Zelenyi Mikhail
Poliakova Mariia
Nozik Alexander
Khudyakov Alexey
author_sort Zelenyi Mikhail
title Application of Turchin's method of statistical regularization
title_short Application of Turchin's method of statistical regularization
title_full Application of Turchin's method of statistical regularization
title_fullStr Application of Turchin's method of statistical regularization
title_full_unstemmed Application of Turchin's method of statistical regularization
title_sort application of turchin's method of statistical regularization
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description During analysis of experimental data, one usually needs to restore a signal after it has been convoluted with some kind of apparatus function. According to Hadamard's definition this problem is ill-posed and requires regularization to provide sensible results. In this article we describe an implementation of the Turchin's method of statistical regularization based on the Bayesian approach to the regularization strategy.
url https://doi.org/10.1051/epjconf/201817707005
work_keys_str_mv AT zelenyimikhail applicationofturchinsmethodofstatisticalregularization
AT poliakovamariia applicationofturchinsmethodofstatisticalregularization
AT nozikalexander applicationofturchinsmethodofstatisticalregularization
AT khudyakovalexey applicationofturchinsmethodofstatisticalregularization
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