Application of Turchin's method of statistical regularization

Mikhail Zelenyi; Mariia Poliakova; Alexander Nozik; Alexey Khudyakov

doi:10.1051/epjconf/201817707005

EPJ

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Proceedings

Open Access

EPJ Web of Conferences 177, 07005 (2018)
https://doi.org/10.1051/epjconf/201817707005

Application of Turchin's method of statistical regularization

Mikhail Zelenyi¹^,2^*, Mariia Poliakova¹^,2, Alexander Nozik¹^,2^** and Alexey Khudyakov¹^***

¹ Institute for Nuclear Research RAS
² Moscow Institute of Physics and Technology

^* e-mail: mihail.zelenyy@phystech.edu
^** e-mail: altavir@gmail.com
^*** e-mail: alexey.skladnoy@gmail.com

Published online: 18 April 2018

Abstract

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.

© The Authors, published by EDP Sciences, 2018

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).