Tensor Deflation for CANDECOMP/PARAFAC - Part II: Initialization and Error Analysis

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00448266" target="_blank" >RIV/67985556:_____/15:00448266 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/TSP.2015.2458789" target="_blank" >http://dx.doi.org/10.1109/TSP.2015.2458789</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TSP.2015.2458789" target="_blank" >10.1109/TSP.2015.2458789</a>

Result language
angličtina
Original language name
Tensor Deflation for CANDECOMP/PARAFAC - Part II: Initialization and Error Analysis
Original language description
In Part I of the study of the tensor deflation for CANDECOMP/PARAFAC, we have shown that the rank-1 tensor de- flation is applicable under some conditions. Part II of the study presents several initialization algorithms suitable for the algorithm proposed in Part I. In addition, Part II contains an algorithm for the case when one or more factor matrices in the estimated model is constrained to be orthogonal. Finally, Part II provides an error analysis of the tensor deflation algorithm, which shows thatthere is a marginal loss of accuracy of the deflation algorithm compared to the ordinary CP decomposition.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Project
<a href="/en/project/GA14-13713S" target="_blank" >GA14-13713S: Tensor Decomposition Methods and Their Applications</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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