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題名 Diamond in multi-layer cellular neural networks
作者 班榮超
Ban, Jung-Chao
Chang, Chih-Hung
貢獻者 應數系
關鍵詞 Multi-layer cellular neural networks ; Topological entropy ; Diamond ; Sofic shif
日期 2013-01
上傳時間 22-Jun-2020 13:40:43 (UTC+8)
摘要 This investigation considers the complexity of output spaces of multi-layer cellular neural networks. Let B be a set of admissible local output patterns coupled with input and let (B) over tilde be the set of admissible output patterns extracting from B. Since topological entropy is an indicator for investigating the complexity of spaces, we study the topological entropy of output spaces Y-U and Y which are induced by B and (B) over tilde, respectively. A system has a diamond if h(Y-U)not equal h(Y). Necessary and sufficient conditions for the existence of diamond are demonstrated separately. Furthermore, numerical experiments exhibit some novel phenomena.
關聯 Applied Mathematics and Computation, Vol.222, pp.1-12
資料類型 article
DOI https://doi.org/ 10.1016/j.amc.2013.07.010
dc.contributor 應數系-
dc.creator (作者) 班榮超-
dc.creator (作者) Ban, Jung-Chao-
dc.creator (作者) Chang, Chih-Hung-
dc.date (日期) 2013-01-
dc.date.accessioned 22-Jun-2020 13:40:43 (UTC+8)-
dc.date.available 22-Jun-2020 13:40:43 (UTC+8)-
dc.date.issued (上傳時間) 22-Jun-2020 13:40:43 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/130191-
dc.description.abstract (摘要) This investigation considers the complexity of output spaces of multi-layer cellular neural networks. Let B be a set of admissible local output patterns coupled with input and let (B) over tilde be the set of admissible output patterns extracting from B. Since topological entropy is an indicator for investigating the complexity of spaces, we study the topological entropy of output spaces Y-U and Y which are induced by B and (B) over tilde, respectively. A system has a diamond if h(Y-U)not equal h(Y). Necessary and sufficient conditions for the existence of diamond are demonstrated separately. Furthermore, numerical experiments exhibit some novel phenomena.-
dc.format.extent 608473 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Applied Mathematics and Computation, Vol.222, pp.1-12-
dc.subject (關鍵詞) Multi-layer cellular neural networks ; Topological entropy ; Diamond ; Sofic shif-
dc.title (題名) Diamond in multi-layer cellular neural networks-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.1016/j.amc.2013.07.010-
dc.doi.uri (DOI) https://doi.org/ 10.1016/j.amc.2013.07.010-