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Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/151275

Title:	Computing the unique CANDECOMP/PARAFAC decomposition of unbalanced tensors by homotopy method
Authors:	郭岳承 Kuo, Yueh-Cheng;Lee, Tsung-Lin
Contributors:	應數系
Keywords:	Tensor;Canonical decomposition;Parallel factors;Homotopy method
Date:	2018-11
Issue Date:	2024-05-24 11:34:24 (UTC+8)
Abstract:	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.
Relation:	Linear Algebra and its Applications, Vol.556, pp.238-264
Data Type:	article
DOI 連結:	https://doi.org/10.1016/j.laa.2018.07.004
DOI:	10.1016/j.laa.2018.07.004
Appears in Collections:	[應用數學系] 期刊論文

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