Automatic differential equations identification by self-configuring genetic programming algorithm

The paper considers a reduction of differential equations identification problem to the symbolic regression task. The current approach allows automatic determining the structure of a differential equation via the usage of the self-configuring genetic programming algorithm. The a priori information n...

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Published in:IOP conference series. Materials Science and Engineering Vol. 734; no. 1; pp. 12093 - 12100
Main Author: Karaseva, T S
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 01.01.2020
Subjects:
Differential equations
Genetic algorithms
Mathematical analysis
ISSN:1757-8981, 1757-899X
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Abstract The paper considers a reduction of differential equations identification problem to the symbolic regression task. The current approach allows automatic determining the structure of a differential equation via the usage of the self-configuring genetic programming algorithm. The a priori information needed is only the dynamic system initial point and the sample of input and output effects. The stability of the proposed approach to the presence of noise in the sample and the small amount of data is investigated.
AbstractList The paper considers a reduction of differential equations identification problem to the symbolic regression task. The current approach allows automatic determining the structure of a differential equation via the usage of the self-configuring genetic programming algorithm. The a priori information needed is only the dynamic system initial point and the sample of input and output effects. The stability of the proposed approach to the presence of noise in the sample and the small amount of data is investigated.
Author Karaseva, T S
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  organization: Reshetnev Siberian State University of Science and Technology 31 , Russian Federation
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10.1007/978-3-642-37213-1_49
10.1007/3-540-45355-5_26
10.1080/002077200291154
10.1007/978-3-642-30976-2_50
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References Passino (MSE_734_1_012093bib4) 1998
Karaseva (MSE_734_1_012093bib12) 2018
Boguslavskiy (MSE_734_1_012093bib2) 2006
Al-Duwaish (MSE_734_1_012093bib8) 2000; 31
Bakhvalov (MSE_734_1_012093bib13) 2007
Astreon (MSE_734_1_012093bib9) 1965; 2
Pashchenko (MSE_734_1_012093bib6) 2006
Semenkin (MSE_734_1_012093bib14) 2012; 7331
Koza (MSE_734_1_012093bib11) 1992
Medvedev (MSE_734_1_012093bib1) 1975
Burakov (MSE_734_1_012093bib5) 2013; 5
Jovanovic (MSE_734_1_012093bib3) 1997; 1
Niehaus (MSE_734_1_012093bib15) 2001; 2038
Reimer (MSE_734_1_012093bib7) 2010
Ryzhikov (MSE_734_1_012093bib18) 2013; 7824
Ryzhikov (MSE_734_1_012093bib10) 2016
Tanabe (MSE_734_1_012093bib16) 2013
Karaseva (MSE_734_1_012093bib17); 69
References_xml – start-page: 48
  year: 1975
  ident: MSE_734_1_012093bib1
– volume: 5
  start-page: 152
  year: 2013
  ident: MSE_734_1_012093bib5
  article-title: Solving variational and Cauchy problems with self-configuring genetic programming algorithm
  publication-title: International Journal of Innovative Computing and Applications
  doi: 10.1504/IJICA.2013.055931
– start-page: 217
  year: 2018
  ident: MSE_734_1_012093bib12
– start-page: 636
  year: 2007
  ident: MSE_734_1_012093bib13
– start-page: 71
  year: 2013
  ident: MSE_734_1_012093bib16
– volume: 69
  start-page: 80
  ident: MSE_734_1_012093bib17
  article-title: Self-configuring genetic programming algorithm for a Cauchy problem and variational problem in symbolic form
  publication-title: Proceedings of the Institute for systems analysis Russian academy of sciences
– start-page: 1608
  year: 2010
  ident: MSE_734_1_012093bib7
– volume: 7824
  start-page: 477
  year: 2013
  ident: MSE_734_1_012093bib18
  article-title: Evolutionary strategies algorithm based approaches for the linear dynamic system identification
  publication-title: Lecture Notes in Computer Science
  doi: 10.1007/978-3-642-37213-1_49
– start-page: 502
  year: 1998
  ident: MSE_734_1_012093bib4
– start-page: 168
  year: 2016
  ident: MSE_734_1_012093bib10
– volume: 2038
  start-page: 325
  year: 2001
  ident: MSE_734_1_012093bib15
  article-title: Adaption of Operator Probabilities in Genetic Programming
  publication-title: Lecture Notes in Computer Science
  doi: 10.1007/3-540-45355-5_26
– volume: 1
  start-page: 525
  year: 1997
  ident: MSE_734_1_012093bib3
  article-title: Identification of Dynamic System Using Neural Network
  publication-title: Architecture and Civil Engineering
– volume: 31
  start-page: 307
  year: 2000
  ident: MSE_734_1_012093bib8
  article-title: A genetic approach to the identification of linear dynamical systems with static nonlinearities
  publication-title: International Journal of Systems Science
  doi: 10.1080/002077200291154
– start-page: 785
  year: 1992
  ident: MSE_734_1_012093bib11
– volume: 2
  start-page: 65
  year: 1965
  ident: MSE_734_1_012093bib9
  article-title: Numerical Identification of Linear Dynamic Systems from Normal Operating Records
  publication-title: IFAC Proceedings Volumes
– volume: 7331
  start-page: 414
  year: 2012
  ident: MSE_734_1_012093bib14
  article-title: Self-configuring Genetic Algorithm with Modified Uniform Crossover Operator
  publication-title: Lecture Notes in Computer Science
  doi: 10.1007/978-3-642-30976-2_50
– start-page: 208
  year: 2006
  ident: MSE_734_1_012093bib2
– start-page: 328
  year: 2006
  ident: MSE_734_1_012093bib6
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SubjectTerms Differential equations
Genetic algorithms
Mathematical analysis
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