UM
Uniqueness and perturbation bounds for sparse non-negative tensor equations
Liu, Dongdong; Li, Wen; Ng, Michael K.; Vong, Seak-Weng
2018-08
Source PublicationFRONTIERS OF MATHEMATICS IN CHINA
ISSN1673-3452
Volume13Issue:4Pages:849-874
AbstractWe discuss the uniqueness and the perturbation analysis for sparse non-negative tensor equations arriving from data sciences. By two different techniques, we may get better ranges of parameters to guarantee the uniqueness of the solution of the tensor equation. On the other hand, we present some perturbation bounds for the tensor equation. Numerical examples are given to show the efficiency of the theoretical results.
KeywordStochastic tensor tensor equation uniqueness perturbation
DOI10.1007/s11464-018-0707-y
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000440606300006
PublisherHIGHER EDUCATION PRESS
The Source to ArticleWOS
Fulltext Access
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Document TypeJournal article
CollectionUniversity of Macau
Recommended Citation
GB/T 7714
Liu, Dongdong,Li, Wen,Ng, Michael K.,et al. Uniqueness and perturbation bounds for sparse non-negative tensor equations[J]. FRONTIERS OF MATHEMATICS IN CHINA,2018,13(4):849-874.
APA Liu, Dongdong,Li, Wen,Ng, Michael K.,&Vong, Seak-Weng.(2018).Uniqueness and perturbation bounds for sparse non-negative tensor equations.FRONTIERS OF MATHEMATICS IN CHINA,13(4),849-874.
MLA Liu, Dongdong,et al."Uniqueness and perturbation bounds for sparse non-negative tensor equations".FRONTIERS OF MATHEMATICS IN CHINA 13.4(2018):849-874.
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