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題名 Computing the unique CANDECOMP/PARAFAC decomposition of unbalanced tensors by homotopy method
作者 郭岳承
Kuo, Yueh-Cheng;Lee, Tsung-Lin
貢獻者 應數系
關鍵詞 Tensor; Canonical decomposition; Parallel factors; Homotopy method
日期 2018-11
上傳時間 24-May-2024 11:34:24 (UTC+8)
摘要 The Candecomp/Parafac decomposition (CPD) of the tensor whose maximal dimension is greater than its rank is considered. We derive the upper bound of rank under which computing the CPD is equivalent to solving a structured polynomial system that is determined by the full rank factorization of the matricization of the tensor. Under the generic uniqueness conditions, the CPD solutions of the system are isolated so that these solutions can be achieved by homotopy method.
關聯 Linear Algebra and its Applications, Vol.556, pp.238-264
資料類型 article
DOI https://doi.org/10.1016/j.laa.2018.07.004
dc.contributor 應數系
dc.creator (作者) 郭岳承
dc.creator (作者) Kuo, Yueh-Cheng;Lee, Tsung-Lin
dc.date (日期) 2018-11
dc.date.accessioned 24-May-2024 11:34:24 (UTC+8)-
dc.date.available 24-May-2024 11:34:24 (UTC+8)-
dc.date.issued (上傳時間) 24-May-2024 11:34:24 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/151275-
dc.description.abstract (摘要) The Candecomp/Parafac decomposition (CPD) of the tensor whose maximal dimension is greater than its rank is considered. We derive the upper bound of rank under which computing the CPD is equivalent to solving a structured polynomial system that is determined by the full rank factorization of the matricization of the tensor. Under the generic uniqueness conditions, the CPD solutions of the system are isolated so that these solutions can be achieved by homotopy method.
dc.format.extent 105 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Linear Algebra and its Applications, Vol.556, pp.238-264
dc.subject (關鍵詞) Tensor; Canonical decomposition; Parallel factors; Homotopy method
dc.title (題名) Computing the unique CANDECOMP/PARAFAC decomposition of unbalanced tensors by homotopy method
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1016/j.laa.2018.07.004
dc.doi.uri (DOI) https://doi.org/10.1016/j.laa.2018.07.004