| Form of presentation | Conference proceedings in international journals and collections |
| Year of publication | 2018 |
| Язык | русский |
|
Bochkarev Vladimir Vladimirovich, author
Gizatullin Bulat Ildarovich, author
Savinkov Andrey Vladimirovich, author
Tyurin Vladimir Aleksandrovich, author
|
| Bibliographic description in the original language |
International Conference on Mathematical Modeling in Physical Sciences
August 27-31, 2018
Moscow, Russia
Vladimir Bochkarev, Vladimir Tyurin, Andrey Savinkov and Bulat Gizatullin
Application of the LASSO algorithm for fitting the multiexponential data of the NMR relaxometry
IOP Conf. Series: Journal of Physics: Conf. Series 1141 (2018) 012148
IOP Publishing
doi:10.1088/1742-6596/1141/1/012148
|
| Annotation |
International Conference on Mathematical Modelling in Physical Sciences IOP Conf. Series: Journal of Physics: Conf. Series 1141 (2018) 012148 IOP Publishing doi:10.1088/1742-6596/1141/1/012148 |
| Keywords |
L1-regularization, L2-regularization, LASSO algorithm |
| The name of the journal |
International Conference on Mathematical Modelling in Physical Sciences IOP Conf. Series: Journal of Physics: Conf. Series 1141 (2018) 012148 IOP Publishing doi:10.1088/1742-6596/1141/1/012148
|
| URL |
http://iopscience.iop.org/article/10.1088/1742-6596/1141/1/012148 |
| Please use this ID to quote from or refer to the card |
https://repository.kpfu.ru/eng/?p_id=192544&p_lang=2 |
Full metadata record  |
| Field DC |
Value |
Language |
| dc.contributor.author |
Bochkarev Vladimir Vladimirovich |
ru_RU |
| dc.contributor.author |
Gizatullin Bulat Ildarovich |
ru_RU |
| dc.contributor.author |
Savinkov Andrey Vladimirovich |
ru_RU |
| dc.contributor.author |
Tyurin Vladimir Aleksandrovich |
ru_RU |
| dc.date.accessioned |
2018-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2018-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2018 |
ru_RU |
| dc.identifier.citation |
International Conference on Mathematical Modeling in Physical Sciences
August 27-31, 2018
Moscow, Russia
Vladimir Bochkarev, Vladimir Tyurin, Andrey Savinkov and Bulat Gizatullin
Application of the LASSO algorithm for fitting the multiexponential data of the NMR relaxometry
IOP Conf. Series: Journal of Physics: Conf. Series 1141 (2018) 012148
IOP Publishing
doi:10.1088/1742-6596/1141/1/012148
|
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/eng/?p_id=192544&p_lang=2 |
ru_RU |
| dc.description.abstract |
International Conference on Mathematical Modelling in Physical Sciences IOP Conf. Series: Journal of Physics: Conf. Series 1141 (2018) 012148 IOP Publishing doi:10.1088/1742-6596/1141/1/012148 |
ru_RU |
| dc.description.abstract |
Abstract
The problem of time series fitting by the sum of several exponentials with different decay parameters often arises analyzing the data of a physical experiment. In particular, such a problem arises determining the nuclear transverse relaxation times from the spin-echo decay NMR data. Mathematically, the problem can be formulated as a solution of the Fredholm integral equation of the first kind with an exponential kernel, or an equivalent system of linear equations. To solve this equation, various regularization methods are used, based on the L2-norm in most cases. We report the application of the L1-regularization for the problem, using the LASSO algorithm. A comparison was made between the results of L1- and L2-regularization on model time series, which were the sum of several exponential decays with noise. Also the L1- and L2-regularization were applied to analyze the 1H NMR experimental data of the spin-echo decays of n-hexane adsorbed in the porous volume of aluminium poor |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
L1-regularization |
ru_RU |
| dc.subject |
L2-regularization |
ru_RU |
| dc.subject |
LASSO algorithm |
ru_RU |
| dc.title |
Application of the LASSO algorithm for fitting the multiexponential data of the NMR relaxometry
|
ru_RU |
| dc.type |
Conference proceedings in international journals and collections |
ru_RU |
|
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