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題名 The learning problem of multi-layer neural networks
作者 班榮超
Ban, Jung-Chao
Chang, Chih-Hung
貢獻者 應數系
關鍵詞 Multi-layer neural networks ; Topological entropy ; Sofic shift ; Learning problem ; Linear separation
日期 2013-01
上傳時間 22-Jun-2020 13:45:11 (UTC+8)
摘要 This manuscript considers the learning problem of multi-layer neural networks (MNNs) with an activation function which comes from cellular neural networks. A systematic investigation of the partition of the parameter space is provided. Furthermore, the recursive formula of the transition matrix of an MNN is obtained. By implementing the well-developed tools in the symbolic dynamical systems, the topological entropy of an MNN can be computed explicitly. A novel phenomenon, the asymmetry of a topological diagram that was seen in Ban, Chang, Lin, and Lin (2009) [J. Differential Equations 246, pp. 552–580, 2009], is revealed.
關聯 Neural Networks, Vol.46, pp.116-123
資料類型 article
DOI https://doi.org/10.1016/j.neunet.2013.05.006
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 13:45:11 (UTC+8)-
dc.date.available 22-Jun-2020 13:45:11 (UTC+8)-
dc.date.issued (上傳時間) 22-Jun-2020 13:45:11 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/130212-
dc.description.abstract (摘要) This manuscript considers the learning problem of multi-layer neural networks (MNNs) with an activation function which comes from cellular neural networks. A systematic investigation of the partition of the parameter space is provided. Furthermore, the recursive formula of the transition matrix of an MNN is obtained. By implementing the well-developed tools in the symbolic dynamical systems, the topological entropy of an MNN can be computed explicitly. A novel phenomenon, the asymmetry of a topological diagram that was seen in Ban, Chang, Lin, and Lin (2009) [J. Differential Equations 246, pp. 552–580, 2009], is revealed.-
dc.format.extent 491685 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Neural Networks, Vol.46, pp.116-123-
dc.subject (關鍵詞) Multi-layer neural networks ; Topological entropy ; Sofic shift ; Learning problem ; Linear separation-
dc.title (題名) The learning problem of multi-layer neural networks-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.1016/j.neunet.2013.05.006-
dc.doi.uri (DOI) https://doi.org/10.1016/j.neunet.2013.05.006-