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https://ah.lib.nccu.edu.tw/handle/140.119/130191
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: | Jan-2013 | 上傳時間: | 22-Jun-2020 | 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 |
Appears in Collections: | 期刊論文 |
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