Complex, Hypercomplex and Fuzzy-Valued Neural Networks
Complex, Hypercomplex, and Fuzzy-Valued Neural Networks are extensions of classical neural networks to higher dimensions. In recent decades, this theory has emerged as a forefront in neural networks theory. There are several approaches to extend classical neural network models: quaternionic analysis...
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| Materialtyp: | Online |
| Språk: | engelska |
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Taylor & Francis
2025
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| Länkar: | ONIX_20251201T114739_9781040523803_3 |
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| _version_ | 1869530846395891712 |
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| author | Niemczynowicz, Agnieszka Perfilieva, Irina García-Raffi, Lluís M. Kycia, Radosław |
| author_browse | García-Raffi, Lluís M. Kycia, Radosław Niemczynowicz, Agnieszka Perfilieva, Irina |
| author_facet | Niemczynowicz, Agnieszka Perfilieva, Irina García-Raffi, Lluís M. Kycia, Radosław |
| author_sort | Niemczynowicz, Agnieszka |
| collection | Directory of Open Access Books |
| description | Complex, Hypercomplex, and Fuzzy-Valued Neural Networks are extensions of classical neural networks to higher dimensions. In recent decades, this theory has emerged as a forefront in neural networks theory. There are several approaches to extend classical neural network models: quaternionic analysis, which merely uses quaternions; Clifford analysis, which relies on Clifford algebras; and finally generalizations of complex variables to higher dimensions. This book reflects a selection of papers related to complex, hypercomplex analysis, and fuzzy approaches applied to neural networks theory. The topics covered represent new perspectives and current trends in neural networks and their applications to mathematical physics, image analysis and processing, mechanics, and beyond. |
| format | Online |
| id | doab-20.500.12854ir-169714 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | Taylor & Francis |
| publisherStr | Taylor & Francis |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1697142025-12-02T05:11:34Z Complex, Hypercomplex and Fuzzy-Valued Neural Networks Niemczynowicz, Agnieszka Perfilieva, Irina García-Raffi, Lluís M. Kycia, Radosław Clifford algebra mathematical physics applications data analysis neural network theory quaternion fuzzy logic systems Cayley-Dickson image processing techniques hypercomplex-valued time series modeling complex-valued computational mechanics advanced neural network architectures thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQN Neural networks and fuzzy systems thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation thema EDItEUR::U Computing and Information Technology::UY Computer science::UYF Computer architecture and logic design thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJF Electronics engineering::TJFM Automatic control engineering thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics Complex, Hypercomplex, and Fuzzy-Valued Neural Networks are extensions of classical neural networks to higher dimensions. In recent decades, this theory has emerged as a forefront in neural networks theory. There are several approaches to extend classical neural network models: quaternionic analysis, which merely uses quaternions; Clifford analysis, which relies on Clifford algebras; and finally generalizations of complex variables to higher dimensions. This book reflects a selection of papers related to complex, hypercomplex analysis, and fuzzy approaches applied to neural networks theory. The topics covered represent new perspectives and current trends in neural networks and their applications to mathematical physics, image analysis and processing, mechanics, and beyond. 2025-12-02T05:11:32Z 2025-12-02T05:11:32Z 2025-12-01T11:21:07Z 2025 book ONIX_20251201T114739_9781040523803_3 https://library.oapen.org/handle/20.500.12657/108762 9781040523803 9781032847146 9781040634059 9781003515302 https://directory.doabooks.org/handle/20.500.12854/169714 eng open access image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/108762/1/9781040523803.pdf Taylor & Francis Routledge 10.1201/9781003515302 10.1201/9781003515302 fa69b019-f4ee-4979-8d42-c6b6c476b5f0 9781040523803 9781032847146 9781040634059 9781003515302 Routledge 182 open access |
| spellingShingle | Clifford algebra mathematical physics applications data analysis neural network theory quaternion fuzzy logic systems Cayley-Dickson image processing techniques hypercomplex-valued time series modeling complex-valued computational mechanics advanced neural network architectures thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQN Neural networks and fuzzy systems thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation thema EDItEUR::U Computing and Information Technology::UY Computer science::UYF Computer architecture and logic design thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJF Electronics engineering::TJFM Automatic control engineering thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics Niemczynowicz, Agnieszka Perfilieva, Irina García-Raffi, Lluís M. Kycia, Radosław Complex, Hypercomplex and Fuzzy-Valued Neural Networks |
| title | Complex, Hypercomplex and Fuzzy-Valued Neural Networks |
| title_full | Complex, Hypercomplex and Fuzzy-Valued Neural Networks |
| title_fullStr | Complex, Hypercomplex and Fuzzy-Valued Neural Networks |
| title_full_unstemmed | Complex, Hypercomplex and Fuzzy-Valued Neural Networks |
| title_short | Complex, Hypercomplex and Fuzzy-Valued Neural Networks |
| title_sort | complex hypercomplex and fuzzy valued neural networks |
| topic | Clifford algebra mathematical physics applications data analysis neural network theory quaternion fuzzy logic systems Cayley-Dickson image processing techniques hypercomplex-valued time series modeling complex-valued computational mechanics advanced neural network architectures thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQN Neural networks and fuzzy systems thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation thema EDItEUR::U Computing and Information Technology::UY Computer science::UYF Computer architecture and logic design thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJF Electronics engineering::TJFM Automatic control engineering thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics |
| topic_facet | Clifford algebra mathematical physics applications data analysis neural network theory quaternion fuzzy logic systems Cayley-Dickson image processing techniques hypercomplex-valued time series modeling complex-valued computational mechanics advanced neural network architectures thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQN Neural networks and fuzzy systems thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation thema EDItEUR::U Computing and Information Technology::UY Computer science::UYF Computer architecture and logic design thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJF Electronics engineering::TJFM Automatic control engineering thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics |
| url | ONIX_20251201T114739_9781040523803_3 |
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