Sensitivity in tensor decomposition
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00509948" target="_blank" >RIV/67985556:_____/19:00509948 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/document/8846103" target="_blank" >https://ieeexplore.ieee.org/document/8846103</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/LSP.2019.2943060" target="_blank" >10.1109/LSP.2019.2943060</a>
Alternative languages
Result language
angličtina
Original language name
Sensitivity in tensor decomposition
Original language description
Canonical polyadic (CP) tensor decomposition is an important task in many applications. Many times, the true tensor rank is not known, or noise is present, and in such situations, different existing CP decomposition algorithms provide very different results. In this paper, we introduce a notion of sensitivity of CP decomposition and suggest to use it as a side criterion (besides the fitting error)nto evaluate different CP decomposition results. Next, we propose a novel variant of a Krylov-Levenberg-Marquardt CP decomposition algorithm which may serve for CP decomposition with a constraint on the sensitivity. In simulations, we decompose order-4 tensors that come from convolutional neural networks. We show that it is useful to combine the CP decomposition algorithms with an error-preserving correction.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20201 - Electrical and electronic engineering
Result continuities
Project
<a href="/en/project/GA17-00902S" target="_blank" >GA17-00902S: Advanded Joint Blind Source Separation Methods</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Signal Processing Letters
ISSN
1070-9908
e-ISSN
—
Volume of the periodical
26
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
5
Pages from-to
1653-1657
UT code for WoS article
000492301000002
EID of the result in the Scopus database
2-s2.0-85077750421