Numerical Comparison of the Adjoint Problem-based and Derivative-free Algorithms on the Coefficient Identification Problem for a Production-Loss Model

Alexey Penenko, Viktoria Konopleva, Aleksandr Bobrovskikh

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

Coefficient identification problems for non-stationary production-loss models are considered. Such models are widely used in chemical, environmental, economic, and biological process studies. The objective of the work is to numerically compare standard derivative-free and gradient-based optimization algorithms accuracy to that of the algorithm consisting of solving the quasi-linear matrix equation with the sensitivity operator. The matrix equation is solved by means of the Newton-Kantorovich-type algorithm with the truncated SVD regularized matrix inversion. Both gradient and sensitivity operator-based algorithms use adjoint problems. The algorithms are compared on the inverse modeling scenario for the antioxidant system of a plant cell. In the scenario, the parameters of the model with rational production-loss operators have to be identified by the state function measurements with the regular time steps. In the numerical experiments, the adjoint problem-based algorithms showed almost the same accuracy, while derivative-free algorithms were less accurate. The largest errors of the latter were obtained on the model coefficients that were not identified by the adjoint problem-based algorithms.

Original languageEnglish
Title of host publicationProceedings - 2021 17th International Asian School-Seminar "Optimization Problems of Complex Systems", OPCS 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages78-83
Number of pages6
ISBN (Electronic)978-1-6654-0562-1
DOIs
Publication statusPublished - 2021
Event17th International Asian School-Seminar "Optimization Problems of Complex Systems", OPCS 2021 - Moscow, Russian Federation
Duration: 13 Sep 202117 Sep 2021

Publication series

NameProceedings - 2021 17th International Asian School-Seminar "Optimization Problems of Complex Systems", OPCS 2021

Conference

Conference17th International Asian School-Seminar "Optimization Problems of Complex Systems", OPCS 2021
CountryRussian Federation
CityMoscow
Period13.09.202117.09.2021

Keywords

  • adjoint equations
  • coefficient identification
  • derivative-free algorithms
  • gradient-based methods
  • production-loss models
  • sensitivity operator

OECD FOS+WOS

  • 1.01 MATHEMATICS

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