Publications-Periodical Articles

Article View/Open

Publication Export

Google ScholarTM

NCCU Library

Citation Infomation

Related Publications in TAIR

題名 Hausdorff Dimension 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 ; Hausdorff Dimension ; Sofic Shift ; Output Space
日期 2013-11
上傳時間 28-Apr-2020 13:55:07 (UTC+8)
摘要 This elucidation investigates the Hausdorff dimension of the output space of multi-layer neural networks. When the factor map from the covering space of the output space to the output space has a synchronizing word, the Hausdorff dimension of the output space relates to its topological entropy. This clarifies the geometrical structure of the output space in more details.
關聯 Advances in Pure Mathematics, 2013, 3, 9-14
資料類型 article
DOI https://doi.org/10.4236/apm.2013.39A1002 
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) 2013-11
dc.date.accessioned 28-Apr-2020 13:55:07 (UTC+8)-
dc.date.available 28-Apr-2020 13:55:07 (UTC+8)-
dc.date.issued (上傳時間) 28-Apr-2020 13:55:07 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/129558-
dc.description.abstract (摘要) This elucidation investigates the Hausdorff dimension of the output space of multi-layer neural networks. When the factor map from the covering space of the output space to the output space has a synchronizing word, the Hausdorff dimension of the output space relates to its topological entropy. This clarifies the geometrical structure of the output space in more details.
dc.format.extent 208238 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Advances in Pure Mathematics, 2013, 3, 9-14
dc.subject (關鍵詞) Multi-Layer Neural Networks ; Hausdorff Dimension ; Sofic Shift ; Output Space
dc.title (題名) Hausdorff Dimension of Multi-Layer Neural Networks
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.4236/apm.2013.39A1002 
dc.doi.uri (DOI) https://doi.org/10.4236/apm.2013.39A1002