Development of Information System Optimization Methods Based on Wavelet Canonical Expansions and Wavelet Neural Network Technologies
Canonical expansion (CE) of stochastic processes (StP) are widely used in applied mathematics, informatics and control. Based on wavelet computing technologies, the authors developed the theory of wavelet canonical decompositions (WCDE), as well as the theory of canonical decompositions based on a w...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | Russian |
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The Fund for Promotion of Internet media, IT education, human development «League Internet Media»
2025-04-01
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| Series: | Современные информационные технологии и IT-образование |
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| Online Access: | https://sitito.cs.msu.ru/index.php/SITITO/article/view/1183 |
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| _version_ | 1849732651302256640 |
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| author | Igor Sinitsyn Vladimir Sinitsyn Eduard Korepanov Tatyana Konashenkova |
| author_facet | Igor Sinitsyn Vladimir Sinitsyn Eduard Korepanov Tatyana Konashenkova |
| author_sort | Igor Sinitsyn |
| collection | DOAJ |
| description | Canonical expansion (CE) of stochastic processes (StP) are widely used in applied mathematics, informatics and control. Based on wavelet computing technologies, the authors developed the theory of wavelet canonical decompositions (WCDE), as well as the theory of canonical decompositions based on a wavelet neural network (WNNN). In the report, after a brief review of the development of the theory of canonical expansions, wavelet-canonical expansions and the theory of canonical expansions based on a wavelet neural network, a method for synthesizing an optimal information system based on the energy criterion (EC) is considered. Problem statement is given for V.S. Pugachev IS and WCDE. WCDE is constructed of CE of input StP. Equations for EC-optimal operator are presented. Formulae for mathematical expectation and variance of EC-optimal output StP estimate are outlined. Illustrate example confirms effective of suggested method in comparison with other two known methods. |
| format | Article |
| id | doaj-art-e1404fceeda54b0fae15936fcbd47d03 |
| institution | DOAJ |
| issn | 2411-1473 |
| language | Russian |
| publishDate | 2025-04-01 |
| publisher | The Fund for Promotion of Internet media, IT education, human development «League Internet Media» |
| record_format | Article |
| series | Современные информационные технологии и IT-образование |
| spelling | doaj-art-e1404fceeda54b0fae15936fcbd47d032025-08-20T03:08:17ZrusThe Fund for Promotion of Internet media, IT education, human development «League Internet Media»Современные информационные технологии и IT-образование2411-14732025-04-01211465510.25559/SITITO.021.202501.46-55Development of Information System Optimization Methods Based on Wavelet Canonical Expansions and Wavelet Neural Network TechnologiesIgor Sinitsyn0https://orcid.org/0000-0002-0534-4262Vladimir Sinitsyn1https://orcid.org/0000-0003-1456-9719Eduard Korepanov2https://orcid.org/0009-0007-9795-0983Tatyana Konashenkova3https://orcid.org/0000-0001-8498-979XFederal Research Center Computer Science and Control of the Russian Academy of Sciences, Moscow, RussiaFederal Research Center Computer Science and Control of the Russian Academy of Sciences, Moscow, RussiaFederal Research Center Computer Science and Control of the Russian Academy of Sciences, Moscow, RussiaFederal Research Center Computer Science and Control of the Russian Academy of Sciences, Moscow, RussiaCanonical expansion (CE) of stochastic processes (StP) are widely used in applied mathematics, informatics and control. Based on wavelet computing technologies, the authors developed the theory of wavelet canonical decompositions (WCDE), as well as the theory of canonical decompositions based on a wavelet neural network (WNNN). In the report, after a brief review of the development of the theory of canonical expansions, wavelet-canonical expansions and the theory of canonical expansions based on a wavelet neural network, a method for synthesizing an optimal information system based on the energy criterion (EC) is considered. Problem statement is given for V.S. Pugachev IS and WCDE. WCDE is constructed of CE of input StP. Equations for EC-optimal operator are presented. Formulae for mathematical expectation and variance of EC-optimal output StP estimate are outlined. Illustrate example confirms effective of suggested method in comparison with other two known methods.https://sitito.cs.msu.ru/index.php/SITITO/article/view/1183canonical expansioncanonical expansion based on wavelet neural networkinformation systemquality parameter of information systemstochastic processstochastic systemwavelet canonical expansion |
| spellingShingle | Igor Sinitsyn Vladimir Sinitsyn Eduard Korepanov Tatyana Konashenkova Development of Information System Optimization Methods Based on Wavelet Canonical Expansions and Wavelet Neural Network Technologies Современные информационные технологии и IT-образование canonical expansion canonical expansion based on wavelet neural network information system quality parameter of information system stochastic process stochastic system wavelet canonical expansion |
| title | Development of Information System Optimization Methods Based on Wavelet Canonical Expansions and Wavelet Neural Network Technologies |
| title_full | Development of Information System Optimization Methods Based on Wavelet Canonical Expansions and Wavelet Neural Network Technologies |
| title_fullStr | Development of Information System Optimization Methods Based on Wavelet Canonical Expansions and Wavelet Neural Network Technologies |
| title_full_unstemmed | Development of Information System Optimization Methods Based on Wavelet Canonical Expansions and Wavelet Neural Network Technologies |
| title_short | Development of Information System Optimization Methods Based on Wavelet Canonical Expansions and Wavelet Neural Network Technologies |
| title_sort | development of information system optimization methods based on wavelet canonical expansions and wavelet neural network technologies |
| topic | canonical expansion canonical expansion based on wavelet neural network information system quality parameter of information system stochastic process stochastic system wavelet canonical expansion |
| url | https://sitito.cs.msu.ru/index.php/SITITO/article/view/1183 |
| work_keys_str_mv | AT igorsinitsyn developmentofinformationsystemoptimizationmethodsbasedonwaveletcanonicalexpansionsandwaveletneuralnetworktechnologies AT vladimirsinitsyn developmentofinformationsystemoptimizationmethodsbasedonwaveletcanonicalexpansionsandwaveletneuralnetworktechnologies AT eduardkorepanov developmentofinformationsystemoptimizationmethodsbasedonwaveletcanonicalexpansionsandwaveletneuralnetworktechnologies AT tatyanakonashenkova developmentofinformationsystemoptimizationmethodsbasedonwaveletcanonicalexpansionsandwaveletneuralnetworktechnologies |