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Uniqueness and perturbation bounds for sparse non-negative tensor equations
Liu,Dongdong1,4; Li,Wen2; Ng,Michael K.3; Vong,Seak Weng4
Source PublicationFrontiers of Mathematics in China
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.
Keywordperturbation Stochastic tensor tensor equation uniqueness
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Scopus ID2-s2.0-85048768441
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Document TypeJournal article
Corresponding AuthorLi,Wen
Affiliation1.School of Applied Mathematics,Guangdong University of Technology,Guangzhou,510006,China
2.School of Mathematical Sciences,South China Normal University,Guangzhou,510631,China
3.Department of Mathematics,Hong Kong Baptist University,Hong Kong
4.Department of Mathematics,University of Macau,Macao
First Author AffilicationUniversity of Macau
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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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