Accounting for apparatus function when registering experimental data: peculiarity of choosing regularization parameter by L-curve criterion at deconvolution of the spectrum
Within the framework of the problem of spectrum deconvolution, variant of the choice of the regularization parameter by criterion of the L-curve, based on the displacement along the points of the L-curve graph, is proposed. An analysis of dependencies on which the L-curve based is done. The L-curve...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute for Nuclear Research, National Academy of Sciences of Ukraine
2019-03-01
|
| Series: | Ядерна фізика та енергетика |
| Subjects: | |
| Online Access: | http://jnpae.kinr.kiev.ua/20.1/html/20.1.0096.html |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850251687060570112 |
|---|---|
| author | A. M. Sokolov |
| author_facet | A. M. Sokolov |
| author_sort | A. M. Sokolov |
| collection | DOAJ |
| description | Within the framework of the problem of spectrum deconvolution, variant of the choice of the regularization parameter by criterion of the L-curve, based on the displacement along the points of the L-curve graph, is proposed. An analysis of dependencies on which the L-curve based is done. The L-curve itself is interpreted as a graph of the complex function of the norm of a regularized solution from the residual, and its similarity to the graph of the residual is noted. |
| format | Article |
| id | doaj-art-760b664ff12945aba7f7fc778b33999f |
| institution | OA Journals |
| issn | 1818-331X 2074-0565 |
| language | English |
| publishDate | 2019-03-01 |
| publisher | Institute for Nuclear Research, National Academy of Sciences of Ukraine |
| record_format | Article |
| series | Ядерна фізика та енергетика |
| spelling | doaj-art-760b664ff12945aba7f7fc778b33999f2025-08-20T01:57:51ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineЯдерна фізика та енергетика1818-331X2074-05652019-03-0120196102https://doi.org/10.15407/jnpae2019.01.096Accounting for apparatus function when registering experimental data: peculiarity of choosing regularization parameter by L-curve criterion at deconvolution of the spectrumA. M. Sokolov0Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, UkraineWithin the framework of the problem of spectrum deconvolution, variant of the choice of the regularization parameter by criterion of the L-curve, based on the displacement along the points of the L-curve graph, is proposed. An analysis of dependencies on which the L-curve based is done. The L-curve itself is interpreted as a graph of the complex function of the norm of a regularized solution from the residual, and its similarity to the graph of the residual is noted.http://jnpae.kinr.kiev.ua/20.1/html/20.1.0096.htmlapparatus functionspectrumregularization methodL-curve criteria. |
| spellingShingle | A. M. Sokolov Accounting for apparatus function when registering experimental data: peculiarity of choosing regularization parameter by L-curve criterion at deconvolution of the spectrum Ядерна фізика та енергетика apparatus function spectrum regularization method L-curve criteria. |
| title | Accounting for apparatus function when registering experimental data: peculiarity of choosing regularization parameter by L-curve criterion at deconvolution of the spectrum |
| title_full | Accounting for apparatus function when registering experimental data: peculiarity of choosing regularization parameter by L-curve criterion at deconvolution of the spectrum |
| title_fullStr | Accounting for apparatus function when registering experimental data: peculiarity of choosing regularization parameter by L-curve criterion at deconvolution of the spectrum |
| title_full_unstemmed | Accounting for apparatus function when registering experimental data: peculiarity of choosing regularization parameter by L-curve criterion at deconvolution of the spectrum |
| title_short | Accounting for apparatus function when registering experimental data: peculiarity of choosing regularization parameter by L-curve criterion at deconvolution of the spectrum |
| title_sort | accounting for apparatus function when registering experimental data peculiarity of choosing regularization parameter by l curve criterion at deconvolution of the spectrum |
| topic | apparatus function spectrum regularization method L-curve criteria. |
| url | http://jnpae.kinr.kiev.ua/20.1/html/20.1.0096.html |
| work_keys_str_mv | AT amsokolov accountingforapparatusfunctionwhenregisteringexperimentaldatapeculiarityofchoosingregularizationparameterbylcurvecriterionatdeconvolutionofthespectrum |