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題名 Entropy bifurcation of neural networks on Cayley trees
作者 班榮超
Ban, Jung-Chao
Chang, Chih-Hung
Huang, Nai-Zhu
貢獻者 應數系
關鍵詞 Neural networks ; learning problem ; Cayley tree ; separation property ; entropy spectrum ; minimal entropy
日期 2019-06
上傳時間 28-Apr-2020 13:55:03 (UTC+8)
摘要 It has been demonstrated that excitable media with a tree structure performed better than other network topologies, it is natural to consider neural networks defined on Cayley trees. The investigation of a symbolic space called tree-shift of finite type is important when it comes to the discussion of the equilibrium solutions of neural networks on Cayley trees. Entropy is a frequently used invariant for measuring the complexity of a system, and constant entropy for an open set of coupling weights between neurons means that the specific network is stable. This paper gives a complete characterization for entropy spectrum of neural networks on Cayley trees and reveals whether the entropy bifurcates when the coupling weights change.
關聯 International Journal of Bifurcation and Chaos, 30:1
資料類型 article
DOI https://doi.org/10.1142/S0218127420500157
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.creator (作者) Huang, Nai-Zhu
dc.date (日期) 2019-06
dc.date.accessioned 28-Apr-2020 13:55:03 (UTC+8)-
dc.date.available 28-Apr-2020 13:55:03 (UTC+8)-
dc.date.issued (上傳時間) 28-Apr-2020 13:55:03 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/129557-
dc.description.abstract (摘要) It has been demonstrated that excitable media with a tree structure performed better than other network topologies, it is natural to consider neural networks defined on Cayley trees. The investigation of a symbolic space called tree-shift of finite type is important when it comes to the discussion of the equilibrium solutions of neural networks on Cayley trees. Entropy is a frequently used invariant for measuring the complexity of a system, and constant entropy for an open set of coupling weights between neurons means that the specific network is stable. This paper gives a complete characterization for entropy spectrum of neural networks on Cayley trees and reveals whether the entropy bifurcates when the coupling weights change.
dc.format.extent 129 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) International Journal of Bifurcation and Chaos, 30:1
dc.subject (關鍵詞) Neural networks ; learning problem ; Cayley tree ; separation property ; entropy spectrum ; minimal entropy
dc.title (題名) Entropy bifurcation of neural networks on Cayley trees
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1142/S0218127420500157
dc.doi.uri (DOI) https://doi.org/10.1142/S0218127420500157