Interval Methods for Data Fitting Under Imprecision and Uncertainty

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Abstract

We consider the data fitting problem under interval uncertainty and show that the problem reduces to the solution of interval systems of equations constructed from the data being processed. The paper discusses in detail the so-called strong compatibility of parameters and data, as more practical, more adequate to reality and possessing better theoretical properties. Estimates of function parameters that satisfy the strong compatibility conditions have polynomial computational complexity, are robust, and almost always have finite variability. The paper proposes a computational technology for solving the data fitting problem for linear function, under interval data uncertainty and taking into account the requirement of strong compatibility.

Original languageEnglish
Title of host publicationProceedings - 2019 IEEE 8th International Conference on Advanced Optoelectronics and Lasers, CAOL 2019 with Scientific Workshop "Data Science in Modern Optoelectronics and Laser Engineering", DSMOLE 2019 and 16th Scientific Workshop "Measurement Uncertainty
Subtitle of host publicationScientific, Normative, Applied and Methodical Aspects", UM 2019
EditorsOleksiy V. Shulika, Vyacheslav A. Maslov
PublisherIEEE Computer Society
Pages626-631
Number of pages6
ISBN (Electronic)9781728118147
DOIs
Publication statusPublished - Sep 2019
Event8th International Conference on Advanced Optoelectronics and Lasers, CAOL 2019 - Sozopol, Bulgaria
Duration: 6 Sep 20198 Sep 2019

Publication series

NameProceedings of the International Conference on Advanced Optoelectronics and Lasers, CAOL
Volume2019-September
ISSN (Print)2160-1518
ISSN (Electronic)2160-1534

Conference

Conference8th International Conference on Advanced Optoelectronics and Lasers, CAOL 2019
CountryBulgaria
CitySozopol
Period06.09.201908.09.2019

Keywords

  • compatibility of parameters and data
  • data fitting problem
  • interval system of equations
  • recognizing functional
  • tolerable solution set
  • united solution set

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