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- 1.0504412 - ÚI 2020 RIV CZ eng J - Journal Article
Hnětynková, I. - Plešinger, Martin - Žáková, J.
Solvability Classes for Core Problems in Matrix Total Least Squares Minimization.
Applications of Mathematics. Roč. 64, č. 2 (2019), s. 103-128. ISSN 0862-7940. E-ISSN 1572-9109
Grant - others:GA ČR(CZ) GC17-04150J
Institutional support: RVO:67985807
Keywords : linear approximation problem * core problem theory * total least squares * classification * (ir)reducible problem
OECD category: Applied mathematics
Impact factor: 0.544, year: 2019
Method of publishing: Open access with time embargo
Permanent Link: http://hdl.handle.net/11104/0296053File Download Size Commentary Version Access 0504412-a.pdf 3 256.7 KB Embargo do 19. 2. 2021. Publisher’s postprint open-access - 2.0467970 - ÚI 2017 RIV US eng J - Journal Article
Hnětynková, Iveta - Plešinger, M. - Sima, D.M.
Solvability of the Core Problem with Multiple Right-Hand Sides in the TLS Sense.
SIAM Journal on Matrix Analysis and Applications. Roč. 37, č. 3 (2016), s. 861-876. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : total least squares (TLS) problem * multiple right-hand sides * core problem * linear approximation problem * error-in-variables modeling * orthogonal regression * classical TLS algorithm
Subject RIV: BA - General Mathematics
Impact factor: 2.194, year: 2016
Permanent Link: http://hdl.handle.net/11104/0265909File Download Size Commentary Version Access a0467970.pdf 16 226.4 KB Publisher’s postprint require - 3.0431496 - ÚI 2015 GB eng A - Abstract
Hnětynková, Iveta - Plešinger, Martin - Strakoš, Zdeněk
Enhanced analysis of solvability of TLS problems with multiple right-hand sides.
4th IMA International Conference on Numerical Linear Algebra and Optimisation. Abstracs book and delegate list. 2014. s. 7-8.
[IMA International Conference on Numerical Linear Algebra and Optimisation /4./. 03.09.2014-05.09.2014, Birmingham]
Institutional support: RVO:67985807
Keywords : linear approximation problem * TLS * core problem
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0236100 - 4.0427245 - ÚI 2015 GB eng A - Abstract
Hnětynková, Iveta - Plešinger, M. - Strakoš, Z.
Recent developments in analysis of TLS problems with multiple right-hand sides.
GAMM Workshop Applied and Numerical Linear Algebra. Bergische Universität Wuppertal, 2013.
[GAMM Workshop on Applied and Numerical Linear Algebra /13./. 09.09.2013-10.09.2013, Wuppertal]
Institutional support: RVO:67985807
Keywords : linear approximation problem * TLS * singular value decomposition
Subject RIV: BA - General Mathematics
http://www-ai.math.uni-wuppertal.de/gammanla2013/index.php?page=main
Permanent Link: http://hdl.handle.net/11104/0232837File Download Size Commentary Version Access 0427245.pdf 1 596.2 KB Author´s preprint open-access - 5.0426569 - ÚI 2014 RIV US eng J - Journal Article
Hnětynková, Iveta - Plešinger, Martin - Strakoš, Z.
The Core Problem within a Linear Approximation Problem $AX/approx B$ with Multiple Right-Hand Sides.
SIAM Journal on Matrix Analysis and Applications. Roč. 34, č. 3 (2013), s. 917-931. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA13-06684S
Grant - others:GA ČR(CZ) GA201/09/0917; GA MŠk(CZ) EE2.3.09.0155; GA MŠk(CZ) EE2.3.30.0065
Program: GA
Institutional support: RVO:67985807
Keywords : total least squares problem * multiple right-hand sides * core problem * linear approximation problem * error-in-variables modeling * orthogonal regression * singular value decomposition
Subject RIV: BA - General Mathematics
Impact factor: 1.806, year: 2013
Permanent Link: http://hdl.handle.net/11104/0232296 - 6.0375603 - ÚI 2012 RIV US eng J - Journal Article
Hnětynková, I. - Plešinger, Martin - Sima, D.M. - Strakoš, Z. - Huffel van, S.
The Total Least Squares Problem in AX approximate to B: A New Classification with the Relationship to the Classical Works.
SIAM Journal on Matrix Analysis and Applications. Roč. 32, č. 3 (2011), s. 748-770. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA ČR(CZ) GA201/09/0917
Program: GA
Institutional research plan: CEZ:AV0Z10300504
Keywords : total least squares * multiple right-hand sides * linear approximation problems * orthogonally invariant problems * orthogonal regression * errors-in-variables modeling
Subject RIV: BA - General Mathematics
Impact factor: 1.368, year: 2011
Permanent Link: http://hdl.handle.net/11104/0208210 - 7.0360287 - ÚI 2012 RIV GB eng J - Journal Article
Gnecco, G. - Kůrková, Věra - Sanguineti, M.
Can Dictionary-based Computational Models Outperform the Best Linear Ones?
Neural Networks. Roč. 24, č. 8 (2011), s. 881-887. ISSN 0893-6080. E-ISSN 1879-2782
R&D Projects: GA MŠMT OC10047
Grant - others:CNR - AV ČR project 2010-2012(XE) Complexity of Neural-Network and Kernel Computational Models
Institutional research plan: CEZ:AV0Z10300504
Keywords : dictionary-based approximation * linear approximation * rates of approximation * worst-case error * Kolmogorov width * perceptron networks
Subject RIV: IN - Informatics, Computer Science
Impact factor: 2.182, year: 2011
Permanent Link: http://hdl.handle.net/11104/0197874 - 8.0350421 - ÚI 2011 RIV GB eng J - Journal Article
Gnecco, G. - Kůrková, Věra - Sanguineti, M.
Some Comparisons of Complexity in Dictionary-Based and Linear Computational Models.
Neural Networks. Roč. 24, č. 2 (2011), s. 171-182. ISSN 0893-6080. E-ISSN 1879-2782
R&D Projects: GA ČR GA201/08/1744
Grant - others:CNR - AV ČR project 2010-2012(XE) Complexity of Neural-Network and Kernel Computational Models
Institutional research plan: CEZ:AV0Z10300504
Keywords : linear approximation schemes * variable-basis approximation schemes * model complexity * worst-case errors * neural networks * kernel models
Subject RIV: IN - Informatics, Computer Science
Impact factor: 2.182, year: 2011
Permanent Link: http://hdl.handle.net/11104/0190434 - 9.0348390 - ÚI 2011 RIV SK eng C - Conference Paper (international conference)
Kůrková, Věra
Comparison of Approximation Capabilities of Neural Networks and Linear Models.
Informačné Technológie - Aplikácie a Teória. Seňa: Pont, 2010 - (Pardubská, D.), s. 31-36. ISBN 978-80-970179-3-4.
[ITAT 2010. Conference on Theory and Practice of Information Technologies. Smrekovica (SK), 21.09.2010-25.09.2010]
R&D Projects: GA MŠMT(CZ) 1M0567
Institutional research plan: CEZ:AV0Z10300504
Keywords : neural network approximation * linear approximation
Subject RIV: IN - Informatics, Computer Science
Permanent Link: http://hdl.handle.net/11104/0188937File Download Size Commentary Version Access a0348390.pdf 0 294 KB Publisher’s postprint require - 10.0329233 - ÚI 2010 RIV DE eng J - Journal Article
Hnětynková, I. - Plešinger, Martin - Strakoš, Zdeněk
On Solution of Total Least Squares Problems with Multiple Right-hand Sides.
[O řešitelnosti úplného problému nejmenších čtverců s násobnou pravou stranou.]
Proceedings in Applied Mathematics and Mechanics. Roč. 8, č. 1 (2008), s. 10815-10816. ISSN 1617-7061
R&D Projects: GA AV ČR IAA100300802
Institutional research plan: CEZ:AV0Z10300504
Keywords : total least squares problem * multiple right-hand sides * linear approximation problem
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0175326