bibtype J - Journal Article
ARLID 0509948
utime 20240111141025.5
mtime 20191024235959.9
WOS 000492301000002
SCOPUS 85077750421
DOI 10.1109/LSP.2019.2943060
title (primary) (eng) Sensitivity in tensor decomposition
specification
page_count 5 s.
media_type P
serial
ARLID cav_un_epca*0253212
ISSN 1070-9908
title IEEE Signal Processing Letters
volume_id 26
volume 11 (2019)
page_num 1653-1657
publisher
name Institute of Electrical and Electronics Engineers
keyword PARAFAC
keyword convolutive neural networks
keyword tensor
author (primary)
ARLID cav_un_auth*0101212
name1 Tichavský
name2 Petr
institution UTIA-B
full_dept (cz) Stochastická informatika
full_dept (eng) Department of Stochastic Informatics
department (cz) SI
department (eng) SI
full_dept Department of Stochastic Informatics
garant K
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0382249
name1 Phan
name2 A. H.
country RU
author
ARLID cav_un_auth*0382250
name1 Cichocki
name2 A.
country RU
source
url http://library.utia.cas.cz/separaty/2019/SI/tichavsky-0509948.pdf
source_size 732 kB
source
url https://ieeexplore.ieee.org/document/8846103
cas_special
project
ARLID cav_un_auth*0345929
project_id GA17-00902S
agency GA ČR
abstract (eng) 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.
result_subspec WOS
RIV BB
FORD0 20000
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reportyear 2020
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inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0301141
mrcbC64 1 Department of Stochastic Informatics UTIA-B 20201 ENGINEERING, ELECTRICAL & ELECTRONIC
confidential S
contract
name Copyright receipt
date 20190919
mrcbC86 2 Article Engineering Electrical Electronic
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mrcbTft \nSoubory v repozitáři: tichavsky-0509948.pdf, tichavsky-0509948-CopyrightReceipt.pdf
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mrcbU63 cav_un_epca*0253212 IEEE Signal Processing Letters 1070-9908 1558-2361 Roč. 26 č. 11 2019 1653 1657 Institute of Electrical and Electronics Engineers