KFU. Card publication. Quasi-reproducible experiments: Universal fitting function for quantitative description of complex systems data

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QUASI-REPRODUCIBLE EXPERIMENTS: UNIVERSAL FITTING FUNCTION FOR QUANTITATIVE DES&SHY;CRIPTION OF COMPLEX SYSTEMS DATA

Form of presentation

Articles in international journals and collections

Year of publication

2024

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Authors, employees of KFU

Litvinov Aleksandr Alekseevich, author

Osokin Sergey Igorevich, author

Other authors

Nigmatullin Ravil Rashidovich, author

Bibliographic description in the original language

Osokin S.I. Quasi-reproducible experiments: Universal fitting function for quantitative description of complex systems data / R.R. Nigmatullin, A.A. Litvinov, S.I. Osokin // Lobachevskii Journal of Mathematics. - 2024. - Vol. 45. - No. 8. - PP. 3956–3971.

Annotation

This paper provides the foundations of an original theory of quasi-reproducible experiments (QRE) based on the testable hypothesis that there exists an essential correlation (memory) between successive measurements. Based on this hypothesis, which the authors define for brevity as the verified partial correlation principle (VPCP), it can be proved that there exists a universal fitting function (UFF) for quasi-periodic (QP) and quasi-reproducible (QR) measurements. In other words, there is some common platform or “bridge” on which, figuratively speaking, a true theory (claiming to describe data from first principles or verifiable models) and an experiment offering this theory for verification measured data, maximally “cleaned” from the influence of uncontrollable factors and apparatus/soft wire function, meet. The proposed theory has been tested on eddy covariance ecological data, specifically measuring only the concentration of CH4, CO2 and water vapors of H2O in the local atmosphere where the corresponding detectors for measuring of the desired gases content are located. For these tested eddy covariance data associated with the presence of two gases CH4, CO2 and H2O vapors in atmosphere there is no simple hypothesis containing a minimal number of the fitting parameters, and, therefore, the fitting function that follows from this theory can serve as the only and reliable quantitative description of this kind of data belonging to the tested complex system. Applications of this theory to practical applications, the place of this theory among other alternative approaches, (especially touching the professional interests of ecologists) and its further development are discussed at the end of this paper.

Keywords

quasi-reproducible experiments, complex systems, verified partial correlation principle, universal fitting function, quasi-periodic measurements, quasireproducible measurements, memory effects, eddy covariance

The name of the journal

Lobachevskii Journal of Mathematics

URL

https://www.pleiades.online/ru/journal/lobjmat/main/

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=303125&p_lang=2

Resource files

File name	Size (MB)	Format
LobJMat2460473Nigmatullin.pdf	1,26	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Litvinov Aleksandr Alekseevich	ru_RU
dc.contributor.author	Osokin Sergey Igorevich	ru_RU
dc.contributor.author	Nigmatullin Ravil Rashidovich	ru_RU
dc.date.accessioned	2024-01-01T00:00:00Z	ru_RU
dc.date.available	2024-01-01T00:00:00Z	ru_RU
dc.date.issued	2024	ru_RU
dc.identifier.citation	Osokin S.I. Quasi-reproducible experiments: Universal fitting function for quantitative description of complex systems data / R.R. Nigmatullin, A.A. Litvinov, S.I. Osokin // Lobachevskii Journal of Mathematics. - 2024. - Vol. 45. - No. 8. - PP. 3956–3971.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=303125&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	This paper provides the foundations of an original theory of quasi-reproducible experiments (QRE) based on the testable hypothesis that there exists an essential correlation (memory) between successive measurements. Based on this hypothesis, which the authors define for brevity as the verified partial correlation principle (VPCP), it can be proved that there exists a universal fitting function (UFF) for quasi-periodic (QP) and quasi-reproducible (QR) measurements. In other words, there is some common platform or “bridge” on which, figuratively speaking, a true theory (claiming to describe data from first principles or verifiable models) and an experiment offering this theory for verification measured data, maximally “cleaned” from the influence of uncontrollable factors and apparatus/soft wire function, meet. The proposed theory has been tested on eddy covariance ecological data, specifically measuring only the concentration of CH4, CO2 and water vapors of H2O in the local atmosphere where the corresponding detectors for measuring of the desired gases content are located. For these tested eddy covariance data associated with the presence of two gases CH4, CO2 and H2O vapors in atmosphere there is no simple hypothesis containing a minimal number of the fitting parameters, and, therefore, the fitting function that follows from this theory can serve as the only and reliable quantitative description of this kind of data belonging to the tested complex system. Applications of this theory to practical applications, the place of this theory among other alternative approaches, (especially touching the professional interests of ecologists) and its further development are discussed at the end of this paper.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	quasi-reproducible experiments	ru_RU
dc.subject	complex systems	ru_RU
dc.subject	verified partial correlation principle	ru_RU
dc.subject	universal fitting function	ru_RU
dc.subject	quasi-periodic measurements	ru_RU
dc.subject	quasireproducible measurements	ru_RU
dc.subject	memory effects	ru_RU
dc.subject	eddy covariance	ru_RU
dc.title	Quasi-reproducible experiments: Universal fitting function for quantitative description of complex systems data	ru_RU
dc.type	Articles in international journals and collections	ru_RU