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Identifiability Analysis for Source Problem of Quasi-Hyperbolic Equation. / Zvonareva, Tatiana; Krivorotko, Olga.

2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023. Institute of Electrical and Electronics Engineers Inc., 2023. p. 1-4 (2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Zvonareva, T & Krivorotko, O 2023, Identifiability Analysis for Source Problem of Quasi-Hyperbolic Equation. in 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023. 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023, Institute of Electrical and Electronics Engineers Inc., pp. 1-4, 5th International Conference on Problems of Cybernetics and Informatics, Баку, Azerbaijan, 28.08.2023. https://doi.org/10.1109/PCI60110.2023.10325964

APA

Zvonareva, T., & Krivorotko, O. (2023). Identifiability Analysis for Source Problem of Quasi-Hyperbolic Equation. In 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023 (pp. 1-4). (2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/PCI60110.2023.10325964

Vancouver

Zvonareva T, Krivorotko O. Identifiability Analysis for Source Problem of Quasi-Hyperbolic Equation. In 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023. Institute of Electrical and Electronics Engineers Inc. 2023. p. 1-4. (2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023). doi: 10.1109/PCI60110.2023.10325964

Author

Zvonareva, Tatiana ; Krivorotko, Olga. / Identifiability Analysis for Source Problem of Quasi-Hyperbolic Equation. 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023. Institute of Electrical and Electronics Engineers Inc., 2023. pp. 1-4 (2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023).

BibTeX

@inproceedings{84c64900675f4507872d0f1177727399,
title = "Identifiability Analysis for Source Problem of Quasi-Hyperbolic Equation",
abstract = "The source for a quasi-hyperbolic equation with a small parameter before the second derivative in time using additional measurements of integral type in fixed times is investigated. The source is parametrized by 6 constants. A sensitivity-based identifiability analysis of the source problem is carried out using the Sobol method. It is shown that all investigated source parameters are not enough sensitive to the additional measurements. The source problem has been reduced to a misfit function minimization problem and solved by the tensor train global optimization method. For 6 parameters it is shown that the smallest error value of the reconstruction of the required parameters is achieved in the case of non-zero small parameter. The reducing of the number of parameters to 3 is a regularization.",
keywords = "diffusion-logistic model, identifiability, inverse problem, optimization, regularization, sensitivity analysis, source problem",
author = "Tatiana Zvonareva and Olga Krivorotko",
year = "2023",
doi = "10.1109/PCI60110.2023.10325964",
language = "English",
isbn = "9798350319064",
series = "2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1--4",
booktitle = "2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023",
address = "United States",
note = "5th International Conference on Problems of Cybernetics and Informatics, PCI 2023 ; Conference date: 28-08-2023 Through 30-08-2023",

}

RIS

TY - GEN

T1 - Identifiability Analysis for Source Problem of Quasi-Hyperbolic Equation

AU - Zvonareva, Tatiana

AU - Krivorotko, Olga

N1 - Conference code: 5

PY - 2023

Y1 - 2023

N2 - The source for a quasi-hyperbolic equation with a small parameter before the second derivative in time using additional measurements of integral type in fixed times is investigated. The source is parametrized by 6 constants. A sensitivity-based identifiability analysis of the source problem is carried out using the Sobol method. It is shown that all investigated source parameters are not enough sensitive to the additional measurements. The source problem has been reduced to a misfit function minimization problem and solved by the tensor train global optimization method. For 6 parameters it is shown that the smallest error value of the reconstruction of the required parameters is achieved in the case of non-zero small parameter. The reducing of the number of parameters to 3 is a regularization.

AB - The source for a quasi-hyperbolic equation with a small parameter before the second derivative in time using additional measurements of integral type in fixed times is investigated. The source is parametrized by 6 constants. A sensitivity-based identifiability analysis of the source problem is carried out using the Sobol method. It is shown that all investigated source parameters are not enough sensitive to the additional measurements. The source problem has been reduced to a misfit function minimization problem and solved by the tensor train global optimization method. For 6 parameters it is shown that the smallest error value of the reconstruction of the required parameters is achieved in the case of non-zero small parameter. The reducing of the number of parameters to 3 is a regularization.

KW - diffusion-logistic model

KW - identifiability

KW - inverse problem

KW - optimization

KW - regularization

KW - sensitivity analysis

KW - source problem

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85179896046&origin=inward&txGid=c0c5c82942fdbc1cd75e4f2a7bfbf225

UR - https://www.mendeley.com/catalogue/d6858743-b6c1-3ee4-91db-b3a473dbb5d0/

U2 - 10.1109/PCI60110.2023.10325964

DO - 10.1109/PCI60110.2023.10325964

M3 - Conference contribution

SN - 9798350319064

T3 - 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023

SP - 1

EP - 4

BT - 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 5th International Conference on Problems of Cybernetics and Informatics

Y2 - 28 August 2023 through 30 August 2023

ER -

ID: 59681718