About: Cramér-Rao-Induced Bounds for CANDECOMP/PARAFAC Tensor Decomposition

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=12&SID=R2AScTwajtiw8IC62ji&page=1&doc=2
Description	This paper presents a Cramer-Rao lower bound (CRLB) on the variance of unbiased estimates of factor matrices in Canonical Polyadic (CP) or CANDECOMP/PARAFAC (CP) decompositions of a tensor from noisy observations, (i.e., the tensor plus a random Gaussian i.i.d. tensor). A novel expression is derived for a bound on the mean square angular error of factors along a selected dimension of a tensor of an arbitrary dimension. The expression needs less operations for computing the bound, O(NR6), than the best existing state-of-the art algorithm, O((NR6)-R-3) operations, where and are the tensor order and the tensor rank. Insightful expressions are derived for tensors of rank 1 and rank 2 of arbitrary dimension and for tensors of arbitrary dimension and rank, where two factor matrices have orthogonal columns. This paper presents a Cramer-Rao lower bound (CRLB) on the variance of unbiased estimates of factor matrices in Canonical Polyadic (CP) or CANDECOMP/PARAFAC (CP) decompositions of a tensor from noisy observations, (i.e., the tensor plus a random Gaussian i.i.d. tensor). A novel expression is derived for a bound on the mean square angular error of factors along a selected dimension of a tensor of an arbitrary dimension. The expression needs less operations for computing the bound, O(NR6), than the best existing state-of-the art algorithm, O((NR6)-R-3) operations, where and are the tensor order and the tensor rank. Insightful expressions are derived for tensors of rank 1 and rank 2 of arbitrary dimension and for tensors of arbitrary dimension and rank, where two factor matrices have orthogonal columns. (en)
Title	Cramér-Rao-Induced Bounds for CANDECOMP/PARAFAC Tensor Decomposition Cramér-Rao-Induced Bounds for CANDECOMP/PARAFAC Tensor Decomposition (en)
skos:prefLabel	Cramér-Rao-Induced Bounds for CANDECOMP/PARAFAC Tensor Decomposition Cramér-Rao-Induced Bounds for CANDECOMP/PARAFAC Tensor Decomposition (en)
skos:notation	RIV/46747885:24220/13:#0002870!RIV14-GA0-24220___
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA102/09/1278), P(GAP103/11/1947)
http://linked.open...iv/cisloPeriodika	Vol. 61, No. 8
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Koldovský, Zbyněk
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Technická univerzita v Liberci / Fakulta mechatroniky, informatiky a mezioborových studií
http://linked.open...dnocenehoVysledku	67242
http://linked.open...ai/riv/idVysledku	RIV/46747885:24220/13:#0002870
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Canonical polyadic decomposition (en)
http://linked.open.../riv/klicoveSlovo	Canonical polyadic decomposition
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[4A2CB1E02842]
http://linked.open...i/riv/nazevZdroje	IEEE TRANSACTIONS ON SIGNAL PROCESSING
http://linked.open...in/vavai/riv/obor	JC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Advanced methods of blind source separation and blind deconvolution Methods of Latent Variable Analysis in Blind Speech and Audio Processing
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	April 2013
http://linked.open...iv/tvurceVysledku	Koldovský, Zbyněk Tichavský, P. Phan, A. H.
http://linked.open...ain/vavai/riv/wos	000317398500010
issn	1053-587X
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1109/TSP.2013.2245660
http://localhost/t...ganizacniJednotka	24220

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