Stability of CANDECOMP-PARAFAC tensor decomposition
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F11%3A00360025" target="_blank" >RIV/67985556:_____/11:00360025 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Stability of CANDECOMP-PARAFAC tensor decomposition
Original language description
In this paper, stability of the CANDECOMP-PARAFAC (CP) tensor decomposition is addressed. It is done by deriving the Cramer-Rao lower bound (CRLB) on variance of an unbiased estimate of the tensor parameters, i.e. elements of its factor matrices, from its noisy observation. Analytical closed-form expressions of the bound are derived for 3 way tensors of rank 1 and 2. As a byproduct, a novel computationally efficient expression for the inverse of the approximate Hessian matrix is derived.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing 2011
ISBN
978-1-4577-0539-7
ISSN
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e-ISSN
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Number of pages
4
Pages from-to
4164-4167
Publisher name
IEEE
Place of publication
Piscataway
Event location
Praha
Event date
May 22, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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