Sun, Yuqin; Jiang, Hong; Tian, Yongge A prediction analysis in a constrained multivariate general linear model with future observations. (English) Zbl 07532125 Commun. Stat., Theory Methods 50, No. 2, 345-357 (2021). MSC: 15A09 62H12 62H25 62J05 62-XX PDF BibTeX XML Cite \textit{Y. Sun} et al., Commun. Stat., Theory Methods 50, No. 2, 345--357 (2021; Zbl 07532125) Full Text: DOI OpenURL
Gnecco, Giorgio; Bacigalupo, Andrea Convex combination of data matrices: PCA perturbation bounds for multi-objective optimal design of mechanical metafilters. (English) Zbl 07455690 Math. Found. Comput. 4, No. 4, 253-269 (2021). MSC: 62H25 15A18 47A55 74M05 74P10 PDF BibTeX XML Cite \textit{G. Gnecco} and \textit{A. Bacigalupo}, Math. Found. Comput. 4, No. 4, 253--269 (2021; Zbl 07455690) Full Text: DOI OpenURL
Li, Minghui; Li, Wen; Chen, Yannan; Xiao, Mingqing The nonconvex tensor robust principal component analysis approximation model via the weighted \(\ell_p\)-norm regularization. (English) Zbl 1484.62074 J. Sci. Comput. 89, No. 3, Paper No. 67, 37 p. (2021). MSC: 62H25 65K05 15A69 65F55 PDF BibTeX XML Cite \textit{M. Li} et al., J. Sci. Comput. 89, No. 3, Paper No. 67, 37 p. (2021; Zbl 1484.62074) Full Text: DOI OpenURL
Ng, Michael K.; Wang, Xue-Zhong Parallel active subspace decomposition for tensor robust principal component analysis. (English) Zbl 1476.62018 Commun. Appl. Math. Comput. 3, No. 2, 221-241 (2021). MSC: 62-08 62H25 65F99 PDF BibTeX XML Cite \textit{M. K. Ng} and \textit{X.-Z. Wang}, Commun. Appl. Math. Comput. 3, No. 2, 221--241 (2021; Zbl 1476.62018) Full Text: DOI OpenURL
Xia, Dong Normal approximation and confidence region of singular subspaces. (English) Zbl 1471.62364 Electron. J. Stat. 15, No. 2, 3798-3851 (2021). MSC: 62H10 62H25 62G20 PDF BibTeX XML Cite \textit{D. Xia}, Electron. J. Stat. 15, No. 2, 3798--3851 (2021; Zbl 1471.62364) Full Text: DOI arXiv Link OpenURL
Jin, Sainan; Miao, Ke; Su, Liangjun On factor models with random missing: EM estimation, inference, and cross validation. (English) Zbl 1471.62532 J. Econom. 222, No. 1, Part C, 745-777 (2021). MSC: 62P20 62H25 62M10 62H12 PDF BibTeX XML Cite \textit{S. Jin} et al., J. Econom. 222, No. 1, Part C, 745--777 (2021; Zbl 1471.62532) Full Text: DOI Link OpenURL
Bolla, Marianna; Szabados, Tamás; Baranyi, Máté; Abdelkhalek, Fatma Block circulant matrices and the spectra of multivariate stationary sequences. (English) Zbl 1464.62374 Spec. Matrices 9, 36-51 (2021). MSC: 62M10 62M15 62H25 62P05 42B05 15B05 PDF BibTeX XML Cite \textit{M. Bolla} et al., Spec. Matrices 9, 36--51 (2021; Zbl 1464.62374) Full Text: DOI OpenURL
Gribisch, Bastian; Stollenwerk, Michael Dynamic principal component CAW models for high-dimensional realized covariance matrices. (English) Zbl 1467.62174 Quant. Finance 20, No. 5, 799-821 (2020). MSC: 62P20 62M10 62M15 62H12 62H25 62J10 91B84 PDF BibTeX XML Cite \textit{B. Gribisch} and \textit{M. Stollenwerk}, Quant. Finance 20, No. 5, 799--821 (2020; Zbl 1467.62174) Full Text: DOI OpenURL
Zhang, Ziming; Xu, Changqing The improvement of CCA and LDA by matrix decompositions. (Chinese. English summary) Zbl 1463.62178 J. Suzhou Univ. Sci. Technol., Nat. Sci. 37, No. 2, 26-31 (2020). MSC: 62H25 62H30 62H20 62H12 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{C. Xu}, J. Suzhou Univ. Sci. Technol., Nat. Sci. 37, No. 2, 26--31 (2020; Zbl 1463.62178) Full Text: DOI OpenURL
Poskitt, Donald S. On singular spectrum analysis and stepwise time series reconstruction. (English) Zbl 1442.62204 J. Time Ser. Anal. 41, No. 1, 67-94 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 62M10 62M15 62G09 62H25 PDF BibTeX XML Cite \textit{D. S. Poskitt}, J. Time Ser. Anal. 41, No. 1, 67--94 (2020; Zbl 1442.62204) Full Text: DOI OpenURL
Taguchi, Y.-h. Unsupervised feature extraction applied to bioinformatics. A PCA based and TD based approach. (English) Zbl 1455.62004 Unsupervised and Semi-Supervised Learning. Cham: Springer (ISBN 978-3-030-22455-4/hbk; 978-3-030-22456-1/ebook). xviii, 321 p. (2020). Reviewer: Ludwig Paditz (Dresden) MSC: 62-02 62R07 62G10 62H25 62P10 68T05 92-08 PDF BibTeX XML Cite \textit{Y. h. Taguchi}, Unsupervised feature extraction applied to bioinformatics. A PCA based and TD based approach. Cham: Springer (2020; Zbl 1455.62004) Full Text: DOI OpenURL
Tanner, Jared; Thompson, Andrew; Vary, Simon Matrix rigidity and the ill-posedness of robust PCA and matrix completion. (English) Zbl 07468835 SIAM J. Math. Data Sci. 1, No. 3, 537-554 (2019). MSC: 62H25 62F35 65F22 65F50 PDF BibTeX XML Cite \textit{J. Tanner} et al., SIAM J. Math. Data Sci. 1, No. 3, 537--554 (2019; Zbl 07468835) Full Text: DOI arXiv OpenURL
Uno, Kohei; Adachi, Kohei; Trendafilov, Nickolay T. Clustered common factor exploration in factor analysis. (English) Zbl 1439.62156 Psychometrika 84, No. 4, 1048-1067 (2019). MSC: 62H30 62H25 PDF BibTeX XML Cite \textit{K. Uno} et al., Psychometrika 84, No. 4, 1048--1067 (2019; Zbl 1439.62156) Full Text: DOI OpenURL
Ciccone, Valentina; Ferrante, Augusto; Zorzi, Mattia An alternating minimization algorithm for factor analysis. (English) Zbl 1463.62176 Kybernetika 55, No. 4, 740-754 (2019). MSC: 62H25 62H12 62J10 PDF BibTeX XML Cite \textit{V. Ciccone} et al., Kybernetika 55, No. 4, 740--754 (2019; Zbl 1463.62176) Full Text: DOI arXiv OpenURL
Jankowski, Norbert; Linowiecki, Rafał A fast neural network learning algorithm with approximate singular value decomposition. (English) Zbl 1430.68277 Int. J. Appl. Math. Comput. Sci. 29, No. 3, 581-594 (2019). MSC: 68T07 15A09 62H25 65F20 PDF BibTeX XML Cite \textit{N. Jankowski} and \textit{R. Linowiecki}, Int. J. Appl. Math. Comput. Sci. 29, No. 3, 581--594 (2019; Zbl 1430.68277) Full Text: DOI OpenURL
Janzamin, Majid; Ge, Rong; Kossaifi, Jean; Anandkumar, Anima Spectral learning on matrices and tensors. (English) Zbl 1436.68004 Found. Trends Mach. Learn. 12, No. 5-6, 1-148 (2019). Reviewer: Martin Holena (Praha) MSC: 68-02 15A18 15A23 15A69 62H25 65F99 68T05 68T07 PDF BibTeX XML Cite \textit{M. Janzamin} et al., Found. Trends Mach. Learn. 12, No. 5--6, 1--148 (2019; Zbl 1436.68004) Full Text: DOI arXiv Link OpenURL
Adachi, Kohei; Trendafilov, Nickolay T. Some inequalities contrasting principal component and factor analyses solutions. (English) Zbl 1430.62121 Jpn. J. Stat. Data Sci. 2, No. 1, 31-47 (2019). MSC: 62H25 15A23 PDF BibTeX XML Cite \textit{K. Adachi} and \textit{N. T. Trendafilov}, Jpn. J. Stat. Data Sci. 2, No. 1, 31--47 (2019; Zbl 1430.62121) Full Text: DOI Link OpenURL
Tygert, Mark Regression-aware decompositions. (English) Zbl 1410.65127 Linear Algebra Appl. 565, 208-224 (2019). MSC: 65F30 62J05 62H25 65C60 PDF BibTeX XML Cite \textit{M. Tygert}, Linear Algebra Appl. 565, 208--224 (2019; Zbl 1410.65127) Full Text: DOI arXiv OpenURL
Mitsuhiro, Masaki; Yadohisa, Hiroshi A unified representation of simultaneous analysis methods of reduction and clustering. (English) Zbl 1430.62139 Jpn. J. Stat. Data Sci. 1, No. 2, 393-412 (2018). MSC: 62H30 15A23 62H25 PDF BibTeX XML Cite \textit{M. Mitsuhiro} and \textit{H. Yadohisa}, Jpn. J. Stat. Data Sci. 1, No. 2, 393--412 (2018; Zbl 1430.62139) Full Text: DOI OpenURL
Tu, Yuanyuan; Shang, Xudong The perturbation bounds of positive semidefinite polar factor. (Chinese. English summary) Zbl 1424.15044 J. Northeast Norm. Univ., Nat. Sci. Ed. 50, No. 2, 16-20 (2018). MSC: 15A60 PDF BibTeX XML Cite \textit{Y. Tu} and \textit{X. Shang}, J. Northeast Norm. Univ., Nat. Sci. Ed. 50, No. 2, 16--20 (2018; Zbl 1424.15044) Full Text: DOI OpenURL
Adachi, Kohei; Trendafilov, Nickolay T. Sparsest factor analysis for clustering variables: a matrix decomposition approach. (English) Zbl 1416.62319 Adv. Data Anal. Classif., ADAC 12, No. 3, 559-585 (2018). MSC: 62H25 62H30 15A23 PDF BibTeX XML Cite \textit{K. Adachi} and \textit{N. T. Trendafilov}, Adv. Data Anal. Classif., ADAC 12, No. 3, 559--585 (2018; Zbl 1416.62319) Full Text: DOI Link OpenURL
Li, Gen; Gaynanova, Irina A general framework for association analysis of heterogeneous data. (English) Zbl 1405.62068 Ann. Appl. Stat. 12, No. 3, 1700-1726 (2018). MSC: 62H20 62P35 62J12 PDF BibTeX XML Cite \textit{G. Li} and \textit{I. Gaynanova}, Ann. Appl. Stat. 12, No. 3, 1700--1726 (2018; Zbl 1405.62068) Full Text: DOI arXiv Euclid OpenURL
Cai, T. Tony; Zhang, Anru Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics. (English) Zbl 1395.62122 Ann. Stat. 46, No. 1, 60-89 (2018). Reviewer: Jaromír Antoch (Praha) MSC: 62H12 62H25 15B52 62H30 PDF BibTeX XML Cite \textit{T. T. Cai} and \textit{A. Zhang}, Ann. Stat. 46, No. 1, 60--89 (2018; Zbl 1395.62122) Full Text: DOI arXiv OpenURL
Lock, Eric F.; Li, Gen Supervised multiway factorization. (English) Zbl 1388.62176 Electron. J. Stat. 12, No. 1, 1150-1180 (2018). MSC: 62H25 15A69 65F30 PDF BibTeX XML Cite \textit{E. F. Lock} and \textit{G. Li}, Electron. J. Stat. 12, No. 1, 1150--1180 (2018; Zbl 1388.62176) Full Text: DOI arXiv Euclid OpenURL
Liu, Zisheng; Li, Jicheng; Li, Guo; Bai, Jianchao; Liu, Xuenian A new model for sparse and low-rank matrix decomposition. (English) Zbl 07309524 J. Appl. Anal. Comput. 7, No. 2, 600-616 (2017). MSC: 65F55 65F50 65K05 90C26 62H25 PDF BibTeX XML Cite \textit{Z. Liu} et al., J. Appl. Anal. Comput. 7, No. 2, 600--616 (2017; Zbl 07309524) Full Text: DOI OpenURL
Cao, Feilong; Chen, Jiaying; Ye, Hailiang; Zhao, Jianwei; Zhou, Zhenghua Recovering low-rank and sparse matrix based on the truncated nuclear norm. (English) Zbl 1428.68231 Neural Netw. 85, 10-20 (2017). MSC: 68T05 15A23 62H25 68T45 68U10 PDF BibTeX XML Cite \textit{F. Cao} et al., Neural Netw. 85, 10--20 (2017; Zbl 1428.68231) Full Text: DOI OpenURL
Bai, Zhong-Zhi; Zhang, Li-Li Modulus-based multigrid methods for linear complementarity problems. (English) Zbl 1463.65160 Numer. Linear Algebra Appl. 24, No. 6, e2105, 15 p. (2017). MSC: 65K15 65N55 90C33 PDF BibTeX XML Cite \textit{Z.-Z. Bai} and \textit{L.-L. Zhang}, Numer. Linear Algebra Appl. 24, No. 6, e2105, 15 p. (2017; Zbl 1463.65160) Full Text: DOI OpenURL
Jiang, Bei; Petkova, Eva; Tarpey, Thaddeus; Ogden, R. Todd Latent class modeling using matrix covariates with application to identifying early placebo responders based on EEG signals. (English) Zbl 1380.62254 Ann. Appl. Stat. 11, No. 3, 1513-1536 (2017). MSC: 62P10 62H25 92C55 PDF BibTeX XML Cite \textit{B. Jiang} et al., Ann. Appl. Stat. 11, No. 3, 1513--1536 (2017; Zbl 1380.62254) Full Text: DOI OpenURL
Belohlavek, Radim; Vychodil, Vilem Factorization of matrices with grades. (English) Zbl 1383.15010 Fuzzy Sets Syst. 292, 85-97 (2016). MSC: 15A23 62H25 15B34 65F30 PDF BibTeX XML Cite \textit{R. Belohlavek} and \textit{V. Vychodil}, Fuzzy Sets Syst. 292, 85--97 (2016; Zbl 1383.15010) Full Text: DOI OpenURL
Boutsidis, Christos; Woodruff, David P.; Zhong, Peilin Optimal principal component analysis in distributed and streaming models. (English) Zbl 1381.62140 Wichs, Daniel (ed.) et al., Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC ’16, Cambridge, MA, USA, June 19–21, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4132-5). 236-249 (2016). MSC: 62H25 15A23 65F25 65F50 68Q05 68Q10 68Q17 68W15 PDF BibTeX XML Cite \textit{C. Boutsidis} et al., in: Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC '16, Cambridge, MA, USA, June 19--21, 2016. New York, NY: Association for Computing Machinery (ACM). 236--249 (2016; Zbl 1381.62140) Full Text: DOI arXiv OpenURL
Belohlavek, Radim; Trnecka, Martin From-below approximations in Boolean matrix factorization: geometry and new algorithm. (English) Zbl 1328.68295 J. Comput. Syst. Sci. 81, No. 8, 1678-1697 (2015). MSC: 68W25 15A23 15B34 62H25 68T30 PDF BibTeX XML Cite \textit{R. Belohlavek} and \textit{M. Trnecka}, J. Comput. Syst. Sci. 81, No. 8, 1678--1697 (2015; Zbl 1328.68295) Full Text: DOI arXiv OpenURL
Adachi, Kohei; Trendafilov, Nickolay Penalty-free sparse PCA. (English) Zbl 1436.62220 Gilli, Manfred (ed.) et al., Proceedings of COMPSTAT 2014 – 21st international conference on computational statistics, Geneva, Switzerland, August 19–22, 2014. The Hague: International Statistical Institute (ISI); The Hague: International Association for Statistical Computing (IASC). 197-203 (2014). MSC: 62H25 62-08 PDF BibTeX XML Cite \textit{K. Adachi} and \textit{N. Trendafilov}, in: Proceedings of COMPSTAT 2014 -- 21st international conference on computational statistics, Geneva, Switzerland, August 19--22, 2014. The Hague: International Statistical Institute (ISI); The Hague: International Association for Statistical Computing (IASC). 197--203 (2014; Zbl 1436.62220) OpenURL
Hong, Xiaoli; Meng, Lingsheng; Zheng, Bing Multiplicative perturbation bounds for weighted polar decomposition. (English) Zbl 1315.15013 Calcolo 51, No. 4, 515-529 (2014). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A23 15A45 15A60 15B57 15B48 PDF BibTeX XML Cite \textit{X. Hong} et al., Calcolo 51, No. 4, 515--529 (2014; Zbl 1315.15013) Full Text: DOI OpenURL
Belohlavek, Radim; Outrata, Jan; Trnecka, Martin Impact of Boolean factorization as preprocessing methods for classification of Boolean data. (English) Zbl 1305.15036 Ann. Math. Artif. Intell. 72, No. 1-2, 3-22 (2014). MSC: 15A23 46L36 62H25 65F30 68T30 68W25 PDF BibTeX XML Cite \textit{R. Belohlavek} et al., Ann. Math. Artif. Intell. 72, No. 1--2, 3--22 (2014; Zbl 1305.15036) Full Text: DOI Link OpenURL
Neff, Patrizio; Nakatsukasa, Yuji; Fischle, Andreas A logarithmic minimization property of the unitary polar factor in the spectral and Frobenius norms. (English) Zbl 1309.15016 SIAM J. Matrix Anal. Appl. 35, No. 3, 1132-1154 (2014). Reviewer: Mihail Voicu (Iaşi) MSC: 15A16 15A18 15A24 15A45 15A23 15A60 PDF BibTeX XML Cite \textit{P. Neff} et al., SIAM J. Matrix Anal. Appl. 35, No. 3, 1132--1154 (2014; Zbl 1309.15016) Full Text: DOI arXiv Link OpenURL
Lankeit, Johannes; Neff, Patrizio; Nakatsukasa, Yuji The minimization of matrix logarithms: on a fundamental property of the unitary polar factor. (English) Zbl 1302.15009 Linear Algebra Appl. 449, 28-42 (2014). MSC: 15A16 15A18 15A24 15A45 15A60 PDF BibTeX XML Cite \textit{J. Lankeit} et al., Linear Algebra Appl. 449, 28--42 (2014; Zbl 1302.15009) Full Text: DOI arXiv OpenURL
Takane, Yoshio Constrained principal component analysis and related techniques. (English) Zbl 1282.62150 Monographs on Statistics and Applied Probability 129. Boca Raton, FL: CRC Press (ISBN 978-1-4665-5666-9/hbk; 978-1-4665-5668-3/ebook). xvii, 233 p. (2014). Reviewer: Yuehua Wu (Toronto) MSC: 62H25 62H12 62-02 15A18 PDF BibTeX XML Cite \textit{Y. Takane}, Constrained principal component analysis and related techniques. Boca Raton, FL: CRC Press (2014; Zbl 1282.62150) Full Text: DOI OpenURL
Trendafilov, Nickolay T.; Unkel, Steffen; Krzanowski, Wojtek Exploratory factor and principal component analyses: some new aspects. (English) Zbl 1322.62043 Stat. Comput. 23, No. 2, 209-220 (2013). MSC: 62-07 62H25 PDF BibTeX XML Cite \textit{N. T. Trendafilov} et al., Stat. Comput. 23, No. 2, 209--220 (2013; Zbl 1322.62043) Full Text: DOI OpenURL
Shabalin, Andrey A.; Nobel, Andrew B. Reconstruction of a low-rank matrix in the presence of Gaussian noise. (English) Zbl 1280.15022 J. Multivariate Anal. 118, 67-76 (2013). MSC: 15B52 60B20 15A83 15A18 62H25 PDF BibTeX XML Cite \textit{A. A. Shabalin} and \textit{A. B. Nobel}, J. Multivariate Anal. 118, 67--76 (2013; Zbl 1280.15022) Full Text: DOI arXiv Link OpenURL
Stegeman, Alwin A three-way Jordan canonical form as limit of low-rank tensor approximations. (English) Zbl 1273.15013 SIAM J. Matrix Anal. Appl. 34, No. 2, 624-650 (2013). MSC: 15A18 15A22 15A69 49M27 62H25 PDF BibTeX XML Cite \textit{A. Stegeman}, SIAM J. Matrix Anal. Appl. 34, No. 2, 624--650 (2013; Zbl 1273.15013) Full Text: DOI Link OpenURL
Kong, Xu; Jiang, Yao-Lin Subtracting a best rank-1 approximation from \(p\times p\times 2\) (\(p\geq 2\)) tensors. (English) Zbl 1274.15002 Numer. Linear Algebra Appl. 19, No. 3, 503-523 (2012). Reviewer: Alwin Stegeman (Groningen) MSC: 15A03 15A22 15A69 62H25 PDF BibTeX XML Cite \textit{X. Kong} and \textit{Y.-L. Jiang}, Numer. Linear Algebra Appl. 19, No. 3, 503--523 (2012; Zbl 1274.15002) Full Text: DOI OpenURL
Belohlavek, Radim Optimal decompositions of matrices with entries from residuated lattices. (English) Zbl 1261.03172 J. Log. Comput. 22, No. 6, 1405-1425 (2012). MSC: 03G25 06A15 03B52 62H25 68T30 PDF BibTeX XML Cite \textit{R. Belohlavek}, J. Log. Comput. 22, No. 6, 1405--1425 (2012; Zbl 1261.03172) Full Text: DOI Link OpenURL
Garthwaite, Paul H.; Critchley, Frank; Anaya-Izquierdo, Karim; Mubwandarikwa, Emmanuel Orthogonalization of vectors with minimal adjustment. (English) Zbl 1452.62483 Biometrika 99, No. 4, 787-798 (2012). MSC: 62H99 26D15 62P10 PDF BibTeX XML Cite \textit{P. H. Garthwaite} et al., Biometrika 99, No. 4, 787--798 (2012; Zbl 1452.62483) Full Text: DOI OpenURL
Stegeman, Alwin Candecomp/Parafac: from diverging components to a decomposition in block terms. (English) Zbl 1250.65062 SIAM J. Matrix Anal. Appl. 33, No. 2, 291-316 (2012). MSC: 65F30 15A69 62H25 PDF BibTeX XML Cite \textit{A. Stegeman}, SIAM J. Matrix Anal. Appl. 33, No. 2, 291--316 (2012; Zbl 1250.65062) Full Text: DOI Link OpenURL
Elrod, Terry; Häubl, Gerald; Tipps, Steven W. Parsimonious structural equation models for repeated measures data, with application to the study of consumer preferences. (English) Zbl 1284.62702 Psychometrika 77, No. 2, 358-387 (2012). MSC: 62P15 PDF BibTeX XML Cite \textit{T. Elrod} et al., Psychometrika 77, No. 2, 358--387 (2012; Zbl 1284.62702) Full Text: DOI OpenURL
Takane, Yoshio; Hunter, Michael A. A new family of constrained principal component analysis (CPCA). (English) Zbl 1214.62070 Linear Algebra Appl. 434, No. 12, 2539-2555 (2011). MSC: 62H25 62H12 15A99 15A18 PDF BibTeX XML Cite \textit{Y. Takane} and \textit{M. A. Hunter}, Linear Algebra Appl. 434, No. 12, 2539--2555 (2011; Zbl 1214.62070) Full Text: DOI OpenURL
Takane, Yoshio; Jung, Kwanghee; Hwang, Heungsun An acceleration method for ten Berge et al.’s algorithm for orthogonal INDSCAL. (English) Zbl 1226.65038 Comput. Stat. 25, No. 3, 409-428 (2010). MSC: 65F35 62H25 15A15 15A21 15A23 PDF BibTeX XML Cite \textit{Y. Takane} et al., Comput. Stat. 25, No. 3, 409--428 (2010; Zbl 1226.65038) Full Text: DOI OpenURL
Bartl, Eduard; Belohlavek, Radim; Konecny, Jan Optimal decompositions of matrices with grades into binary and graded matrices. (English) Zbl 1213.68598 Ann. Math. Artif. Intell. 59, No. 2, 151-167 (2010). MSC: 68T30 03B52 06A15 15A23 PDF BibTeX XML Cite \textit{E. Bartl} et al., Ann. Math. Artif. Intell. 59, No. 2, 151--167 (2010; Zbl 1213.68598) Full Text: DOI Link OpenURL
Stegeman, Alwin; De Almeida, André L. F. Uniqueness conditions for constrained three-way factor decompositions with linearly dependent loadings. (English) Zbl 1197.15016 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1469-1490 (2010). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A69 62H25 15A23 65F30 PDF BibTeX XML Cite \textit{A. Stegeman} and \textit{A. L. F. De Almeida}, SIAM J. Matrix Anal. Appl. 31, No. 3, 1469--1490 (2010; Zbl 1197.15016) Full Text: DOI Link OpenURL
Ostrouchov, George A matrix computation view of FastMap and RobustMap dimension reduction algorithms. (English) Zbl 1195.65055 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1351-1360 (2010). MSC: 65F30 62H25 PDF BibTeX XML Cite \textit{G. Ostrouchov}, SIAM J. Matrix Anal. Appl. 31, No. 3, 1351--1360 (2010; Zbl 1195.65055) Full Text: DOI OpenURL
Yang, Hu; Li, Hanyu; Shao, Hua Multiplicative perturbation bounds for weighted unitary polar factor. (English) Zbl 1209.15023 Math. Inequal. Appl. 13, No. 3, 537-554 (2010). Reviewer: Omar Hirzallah (Zarqa) MSC: 15A45 15A23 15A18 15A60 PDF BibTeX XML Cite \textit{H. Yang} et al., Math. Inequal. Appl. 13, No. 3, 537--554 (2010; Zbl 1209.15023) Full Text: DOI OpenURL
Mulaik, Stanley A. Foundations of factor analysis. 2nd ed. (English) Zbl 1188.62185 Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences Series. Boca Raton, FL: CRC Press (ISBN 978-1-4200-9961-4/hbk). xxiii, 524 p. (2010). Reviewer: Yuehua Wu (Toronto) MSC: 62H25 62-02 62-01 62P15 PDF BibTeX XML Cite \textit{S. A. Mulaik}, Foundations of factor analysis. 2nd ed. Boca Raton, FL: CRC Press (2010; Zbl 1188.62185) OpenURL
Belohlavek, Radim; Vychodil, Vilem Discovery of optimal factors in binary data via a novel method of matrix decomposition. (English) Zbl 1180.15026 J. Comput. Syst. Sci. 76, No. 1, 3-20 (2010). MSC: 15B34 15A23 65F30 PDF BibTeX XML Cite \textit{R. Belohlavek} and \textit{V. Vychodil}, J. Comput. Syst. Sci. 76, No. 1, 3--20 (2010; Zbl 1180.15026) Full Text: DOI OpenURL
Li, Hanyu; Yang, Hu; Shao, Hua Multiplicative perturbation bounds for generalized nonnegative and positive polar factors. (Chinese. English summary) Zbl 1212.15025 Acta Math. Appl. Sin. 32, No. 5, 912-922 (2009). MSC: 15A23 15A60 PDF BibTeX XML Cite \textit{H. Li} et al., Acta Math. Appl. Sin. 32, No. 5, 912--922 (2009; Zbl 1212.15025) OpenURL
Andronache, Constantin Principal component analysis of sea surface temperature in the North Atlantic Ocean. (English) Zbl 1182.62131 Int. J. Mod. Phys. C 20, No. 11, 1789-1802 (2009). MSC: 62H25 62J05 62P12 15A18 PDF BibTeX XML Cite \textit{C. Andronache}, Int. J. Mod. Phys. C 20, No. 11, 1789--1802 (2009; Zbl 1182.62131) Full Text: DOI OpenURL
Choulakian, V. Multiple taxicab correspondence analysis. (English) Zbl 1306.62126 Adv. Data Anal. Classif., ADAC 2, No. 2, 177-206 (2008). MSC: 62H17 62H25 PDF BibTeX XML Cite \textit{V. Choulakian}, Adv. Data Anal. Classif., ADAC 2, No. 2, 177--206 (2008; Zbl 1306.62126) Full Text: DOI OpenURL
Huang, Jianhua Z.; Shen, Haipeng; Buja, Andreas Functional principal components analysis via penalized rank one approximation. (English) Zbl 1320.62097 Electron. J. Stat. 2, 678-695 (2008). MSC: 62G08 62H25 65F30 PDF BibTeX XML Cite \textit{J. Z. Huang} et al., Electron. J. Stat. 2, 678--695 (2008; Zbl 1320.62097) Full Text: DOI arXiv Euclid OpenURL
Stegeman, Alwin Low-rank approximation of generic \(p \times q \times 2\) arrays and diverging components in the Candecomp/Parafac model. (English) Zbl 1167.15301 SIAM J. Matrix Anal. Appl. 30, No. 3, 88-1007 (2008). MSC: 15A03 15A22 15A69 49M27 62H25 PDF BibTeX XML Cite \textit{A. Stegeman}, SIAM J. Matrix Anal. Appl. 30, No. 3, p988--1007 (2008; Zbl 1167.15301) Full Text: DOI OpenURL
Li, Wen On the perturbation bound in unitarily invariant norms for subunitary polar factors. (English) Zbl 1147.15022 Linear Algebra Appl. 429, No. 2-3, 649-657 (2008). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15A60 15A23 15A45 PDF BibTeX XML Cite \textit{W. Li}, Linear Algebra Appl. 429, No. 2--3, 649--657 (2008; Zbl 1147.15022) Full Text: DOI OpenURL
Boik, Robert J. An implicit function approach to constrained optimization with applications to asymptotic expansions. (English) Zbl 1132.41320 J. Multivariate Anal. 99, No. 3, 465-489 (2008). MSC: 41A29 49K30 62E20 62F30 62H25 PDF BibTeX XML Cite \textit{R. J. Boik}, J. Multivariate Anal. 99, No. 3, 465--489 (2008; Zbl 1132.41320) Full Text: DOI OpenURL
Kirichenko, N. F.; Donchenko, V. S. Pseudoinverse in clustering problems. (English. Russian original) Zbl 1141.15311 Cybern. Syst. Anal. 43, No. 4, 527-541 (2007); translation from Kibern. Sist. Anal. 2007, No. 4, 73-92 (2007). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 15A03 62H10 62H30 62H25 PDF BibTeX XML Cite \textit{N. F. Kirichenko} and \textit{V. S. Donchenko}, Cybern. Syst. Anal. 43, No. 4, 527--541 (2007; Zbl 1141.15311); translation from Kibern. Sist. Anal. 2007, No. 4, 73--92 (2007) Full Text: DOI OpenURL
Yanev, Petko I.; Kontoghiorghes, Erricos J. Computationally efficient methods for estimating the updated-observations SUR models. (English) Zbl 1123.65008 Appl. Numer. Math. 57, No. 11-12, 1245-1258 (2007). MSC: 65C60 62J05 62J10 65Y05 65F05 PDF BibTeX XML Cite \textit{P. I. Yanev} and \textit{E. J. Kontoghiorghes}, Appl. Numer. Math. 57, No. 11--12, 1245--1258 (2007; Zbl 1123.65008) Full Text: DOI OpenURL
Okatani, Takayuki; Deguchi, Koichiro On the Wiberg algorithm for matrix factorization in the presence of missing components. (English) Zbl 1477.68404 Int. J. Comput. Vis. 72, No. 3, 329-337 (2007). MSC: 68T45 62H25 65F99 PDF BibTeX XML Cite \textit{T. Okatani} and \textit{K. Deguchi}, Int. J. Comput. Vis. 72, No. 3, 329--337 (2007; Zbl 1477.68404) Full Text: DOI OpenURL
Choulakian, V. L1-norm projection pursuit principal component analysis. (English) Zbl 1445.62130 Comput. Stat. Data Anal. 50, No. 6, 1441-1451 (2006). MSC: 62H25 PDF BibTeX XML Cite \textit{V. Choulakian}, Comput. Stat. Data Anal. 50, No. 6, 1441--1451 (2006; Zbl 1445.62130) Full Text: DOI OpenURL
Bek, Eric J. S-Plus code for simple and multiple correspondence analysis. (English) Zbl 1091.62052 Comput. Stat. 20, No. 3, 415-438 (2005). Reviewer: R. E. Maiboroda (Kyïv) MSC: 62H25 62-04 62H17 PDF BibTeX XML Cite \textit{E. J. Bek}, Comput. Stat. 20, No. 3, 415--438 (2005; Zbl 1091.62052) Full Text: DOI OpenURL
Chen, Wen; Chen, Xiaoshan New perturbation bounds of unitary polar factors. (Chinese. English summary) Zbl 1048.15011 J. Xiamen Univ., Nat. Sci. 42, No. 3, 296-299 (2003). MSC: 15A23 15A60 15A45 PDF BibTeX XML Cite \textit{W. Chen} and \textit{X. Chen}, J. Xiamen Univ., Nat. Sci. 42, No. 3, 296--299 (2003; Zbl 1048.15011) OpenURL
Chu, Moody T.; Funderlic, Robert E. The centroid decomposition: Relationships between discrete variational decompositions and SVDs. (English) Zbl 1059.62061 SIAM J. Matrix Anal. Appl. 23, No. 4, 1025-1044 (2002). MSC: 62H25 15A18 15A21 65F15 PDF BibTeX XML Cite \textit{M. T. Chu} and \textit{R. E. Funderlic}, SIAM J. Matrix Anal. Appl. 23, No. 4, 1025--1044 (2002; Zbl 1059.62061) Full Text: DOI OpenURL
Girolami, Mark Orthogonal series density estimation and the kernel eigenvalue problem. (English) Zbl 0986.62021 Neural Comput. 14, No. 3, 669-688 (2002). MSC: 62G07 62H25 PDF BibTeX XML Cite \textit{M. Girolami}, Neural Comput. 14, No. 3, 669--688 (2002; Zbl 0986.62021) Full Text: DOI OpenURL
Greenacre, Michael Correspondence analysis of square asymmetric matrices. (English) Zbl 0959.62056 J. R. Stat. Soc., Ser. C, Appl. Stat. 49, No. 3, 297-310 (2000). MSC: 62H25 91F10 PDF BibTeX XML Cite \textit{M. Greenacre}, J. R. Stat. Soc., Ser. C, Appl. Stat. 49, No. 3, 297--310 (2000; Zbl 0959.62056) Full Text: DOI OpenURL
Hubert, Lawrence; Meulman, Jacqueline; Heiser, Willem Two purposes for matrix factorization: A historical appraisal. (English) Zbl 0999.65014 SIAM Rev. 42, No. 1, 68-82 (2000). MSC: 65F05 62H25 65C60 65F20 65F30 PDF BibTeX XML Cite \textit{L. Hubert} et al., SIAM Rev. 42, No. 1, 68--82 (2000; Zbl 0999.65014) Full Text: DOI OpenURL
Takemura, Akimichi; Kuriki, Satoshi Shrinkage to smooth non-convex cone: Principal component analysis as Stein estimation. (English) Zbl 0918.62054 Commun. Stat., Theory Methods 28, No. 3-4, 651-669 (1999). MSC: 62H25 15A18 62J07 PDF BibTeX XML Cite \textit{A. Takemura} and \textit{S. Kuriki}, Commun. Stat., Theory Methods 28, No. 3--4, 651--669 (1999; Zbl 0918.62054) Full Text: DOI OpenURL
Ihara, Masamori On identifiability of factor analysis model. (English) Zbl 0836.62043 Math. Jap. 42, No. 3, 437-441 (1995). MSC: 62H25 15A23 PDF BibTeX XML Cite \textit{M. Ihara}, Math. Japon. 42, No. 3, 437--441 (1995; Zbl 0836.62043) OpenURL
Drouet d’Aubigny, Gérard; Thiam, Sada Sory Principal components analysis in the frequency space (or F- PCA). (Analyse en composantes principales dans l’espace des frequences (ou F- A.C.P.).) (French) Zbl 0813.62082 Afr. Mat., Sér. III 1, 1-17 (1993). MSC: 62M15 62H25 60G10 PDF BibTeX XML Cite \textit{G. Drouet d'Aubigny} and \textit{S. S. Thiam}, Afr. Mat., Sér. III 1, 1--17 (1993; Zbl 0813.62082) OpenURL
Radojević, Dragan A new approach to modeling of stochastic processes based on principal components of Hankel matrix. (English) Zbl 0779.62081 Yugosl. J. Oper. Res. 3, No. 1, 21-31 (1993). MSC: 62M10 62H25 62P99 PDF BibTeX XML Cite \textit{D. Radojević}, Yugosl. J. Oper. Res. 3, No. 1, 21--31 (1993; Zbl 0779.62081) OpenURL
Pham Dinh Tuan; Möcks, Joachim Beyond principal component analysis: A trilinear decomposition model and least squares estimation. (English) Zbl 0776.62051 Psychometrika 57, No. 2, 203-215 (1992). Reviewer: R.Mentz (S.M.de Tucuman) MSC: 62H25 PDF BibTeX XML Cite \textit{Pham Dinh Tuan} and \textit{J. Möcks}, Psychometrika 57, No. 2, 203--215 (1992; Zbl 0776.62051) Full Text: DOI OpenURL
Daigle, Gaétan; Rivest, Louis-Paul A robust biplot. (English) Zbl 0756.62001 Can. J. Stat. 20, No. 3, 241-255 (1992). MSC: 62A09 62-07 62F35 62H25 PDF BibTeX XML Cite \textit{G. Daigle} and \textit{L.-P. Rivest}, Can. J. Stat. 20, No. 3, 241--255 (1992; Zbl 0756.62001) Full Text: DOI OpenURL
Vandewalle, Joos; de Moor, Bart On the use of the singular value decomposition in identification and signal processing. (English) Zbl 0738.65033 Numerical linear algebra, digital signal processing and parallel algorithms, Proc. NATO ASI, Leuven/Belg. 1988, NATO ASI Ser., Ser. F 70, 321-360 (1991). Reviewer: Xie Shenquan (Xiangtan) MSC: 65F15 15A18 94A12 65F30 62J10 93E12 PDF BibTeX XML Cite \textit{J. Vandewalle} and \textit{B. de Moor}, in: The family of fast least squares algorithms for adaptive filtering. . 321--360 (1991; Zbl 0738.65033) OpenURL
Kano, Yutaka The asymptotic distribution of a noniterative estimator in exploratory factor analysis. (English) Zbl 0747.62055 Ann. Stat. 19, No. 1, 272-282 (1991). MSC: 62H25 62E20 PDF BibTeX XML Cite \textit{Y. Kano}, Ann. Stat. 19, No. 1, 272--282 (1991; Zbl 0747.62055) Full Text: DOI OpenURL
Rao, K. R.; Yip, P. Discrete cosine transform. Algorithms, advantages, applications. (English) Zbl 0726.65162 Boston, MA: Academic Press, Inc. xviii, 490 p. £43.95; $ 69.95 (1990). Reviewer: V.Veselý (Brno) MSC: 65T50 65-02 42-04 42A38 94-04 68T10 68U10 68U99 94A12 PDF BibTeX XML Cite \textit{K. R. Rao} and \textit{P. Yip}, Discrete cosine transform. Algorithms, advantages, applications. Boston, MA: Academic Press, Inc. (1990; Zbl 0726.65162) OpenURL
Kratochvíl, Petr The determination of factors in linear models of factor analysis. (English) Zbl 0721.62060 Apl. Mat. 35, No. 5, 350-355 (1990). MSC: 62H25 PDF BibTeX XML Cite \textit{P. Kratochvíl}, Apl. Mat. 35, No. 5, 350--355 (1990; Zbl 0721.62060) Full Text: EuDML OpenURL
Galpin, Jacqueline S.; Hawkins, Douglas M. Methods of \(L_ 1\) estimation of a covariance matrix. (English) Zbl 0623.62043 Comput. Stat. Data Anal. 5, 305-319 (1987). MSC: 62H12 62F35 62H25 PDF BibTeX XML Cite \textit{J. S. Galpin} and \textit{D. M. Hawkins}, Comput. Stat. Data Anal. 5, 305--319 (1987; Zbl 0623.62043) Full Text: DOI OpenURL
Higham, Nicholas J. Computing the polar decomposition - with applications. (English) Zbl 0607.65014 SIAM J. Sci. Stat. Comput. 7, 1160-1174 (1986). Reviewer: D.Herceg MSC: 65F30 15A23 PDF BibTeX XML Cite \textit{N. J. Higham}, SIAM J. Sci. Stat. Comput. 7, 1160--1174 (1986; Zbl 0607.65014) Full Text: DOI OpenURL
Kane, V. E.; Ward, R. C.; Davis, G. J. Assessment of linear dependencies in multivariate data. (English) Zbl 0586.62087 SIAM J. Sci. Stat. Comput. 6, 1022-1032 (1985). MSC: 62H20 PDF BibTeX XML Cite \textit{V. E. Kane} et al., SIAM J. Sci. Stat. Comput. 6, 1022--1032 (1985; Zbl 0586.62087) Full Text: DOI OpenURL
Argyris, J. H.; Johnson, Th. L.; Mlejnek, H.-P. On the natural factor in nonlinear analysis. (English) Zbl 0405.73065 Computer Methods Appl. Mech. Engin. 15, 365-388 (1978). MSC: 74S05 74-04 PDF BibTeX XML Cite \textit{J. H. Argyris} et al., Comput. Methods Appl. Mech. Eng. 15, 365--388 (1978; Zbl 0405.73065) Full Text: DOI OpenURL
Gabriel, K. R. Least squares approximation of matrices by additive and multiplicative models. (English) Zbl 0393.62019 J. R. Stat. Soc., Ser. B 40, 186-196 (1978). MSC: 62H25 PDF BibTeX XML Cite \textit{K. R. Gabriel}, J. R. Stat. Soc., Ser. B 40, 186--196 (1978; Zbl 0393.62019) OpenURL