Principal component analysis (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Principal component analysis" in English language version.

refsWebsite

Global rank English rank

46doi.org

2^nd place

25semanticscholar.org

11^th place

8^th place

22arxiv.org

69^th place

59^th place

18harvard.edu

18^th place

17^th place

16nih.gov

4^th place

4books.google.com

3^rd place

3psu.edu

207^th place

136^th place

3mit.edu

415^th place

327^th place

2ulb.ac.be

low place

2mathworks.com

6,214^th place

4,509^th place

2academia.edu

121^st place

142^nd place

2researchgate.net

120^th place

125^th place

2uta.edu

low place

6,493^rd place

2toronto.edu

low place

8,821^st place

2stanford.edu

179^th place

183^rd place

1zenodo.org

621^st place

380^th place

1jstor.org

26^th place

20^th place

1umn.edu

1,266^th place

860^th place

1handle.net

102^nd place

76^th place

1springer.com

274^th place

309^th place

1acm.org

1,185^th place

840^th place

1rsc.org

2,020^th place

1,872^nd place

1herts.ac.uk

low place

1i2tutorials.com

low place

1newprairiepress.org

low place

1worldcat.org

5^th place

1otago.ac.nz

low place

7,531^st place

1nist.gov

355^th place

454^th place

1sas.com

low place

1wolfram.com

513^th place

537^th place

1jmlr.org

low place

1abs.gov.au

653^rd place

498^th place

1undp.org

369^th place

616^th place

1ox.ac.uk

613^th place

456^th place

1utoronto.ca

1,601^st place

1,117^th place

1canterbury.ac.nz

low place

9,147^th place

1ijpam.eu

low place

1imf.org

142^nd place

363^rd place

1gatech.edu

4,448^th place

2,923^rd place

1polytechnique.fr

low place

1nips.cc

low place

7,050^th place

1ihes.fr

low place

1curie.fr

low place

1kb.se

564^th place

1,445^th place

1ucla.edu

782^nd place

585^th place

abs.gov.au

"Socio-Economic Indexes for Areas". Australian Bureau of Statistics. 2011. Retrieved 2022-05-05.

academia.edu

Flood, J (2000). Sydney divided: factorial ecology revisited. Paper to the APA Conference 2000, Melbourne, November and to the 24th ANZRSAI Conference, Hobart, December 2000.[1]
Flood, Joe (2008). "Multinomial Analysis for Housing Careers Survey". Paper to the European Network for Housing Research Conference, Dublin. Retrieved 6 May 2022.

acm.org

dl.acm.org

Fukunaga, Keinosuke (1990). Introduction to Statistical Pattern Recognition. Elsevier. ISBN 978-0-12-269851-4.

arxiv.org

Hsu, Daniel; Kakade, Sham M.; Zhang, Tong (2008). A spectral algorithm for learning hidden markov models. arXiv:0811.4413. Bibcode:2008arXiv0811.4413H.
Markopoulos, Panos P.; Kundu, Sandipan; Chamadia, Shubham; Pados, Dimitris A. (15 August 2017). "Efficient L1-Norm Principal-Component Analysis via Bit Flipping". IEEE Transactions on Signal Processing. 65 (16): 4252–4264. arXiv:1610.01959. Bibcode:2017ITSP...65.4252M. doi:10.1109/TSP.2017.2708023. S2CID 7931130.
Chachlakis, Dimitris G.; Prater-Bennette, Ashley; Markopoulos, Panos P. (22 November 2019). "L1-norm Tucker Tensor Decomposition". IEEE Access. 7: 178454–178465. arXiv:1904.06455. doi:10.1109/ACCESS.2019.2955134.
Markopoulos, Panos P.; Karystinos, George N.; Pados, Dimitris A. (October 2014). "Optimal Algorithms for L1-subspace Signal Processing". IEEE Transactions on Signal Processing. 62 (19): 5046–5058. arXiv:1405.6785. Bibcode:2014ITSP...62.5046M. doi:10.1109/TSP.2014.2338077. S2CID 1494171.
Zhan, J.; Vaswani, N. (2015). "Robust PCA With Partial Subspace Knowledge". IEEE Transactions on Signal Processing. 63 (13): 3332–3347. arXiv:1403.1591. Bibcode:2015ITSP...63.3332Z. doi:10.1109/tsp.2015.2421485. S2CID 1516440.
Bengio, Y.; et al. (2013). "Representation Learning: A Review and New Perspectives". IEEE Transactions on Pattern Analysis and Machine Intelligence. 35 (8): 1798–1828. arXiv:1206.5538. doi:10.1109/TPAMI.2013.50. PMID 23787338. S2CID 393948.
Jonathon Shlens, A Tutorial on Principal Component Analysis.
Soummer, Rémi; Pueyo, Laurent; Larkin, James (2012). "Detection and Characterization of Exoplanets and Disks Using Projections on Karhunen-Loève Eigenimages". The Astrophysical Journal Letters. 755 (2): L28. arXiv:1207.4197. Bibcode:2012ApJ...755L..28S. doi:10.1088/2041-8205/755/2/L28. S2CID 51088743.
Pueyo, Laurent (2016). "Detection and Characterization of Exoplanets using Projections on Karhunen Loeve Eigenimages: Forward Modeling". The Astrophysical Journal. 824 (2): 117. arXiv:1604.06097. Bibcode:2016ApJ...824..117P. doi:10.3847/0004-637X/824/2/117. S2CID 118349503.
Blanton, Michael R.; Roweis, Sam (2007). "K-corrections and filter transformations in the ultraviolet, optical, and near infrared". The Astronomical Journal. 133 (2): 734–754. arXiv:astro-ph/0606170. Bibcode:2007AJ....133..734B. doi:10.1086/510127. S2CID 18561804.
Zhu, Guangtun B. (2016-12-19). "Nonnegative Matrix Factorization (NMF) with Heteroscedastic Uncertainties and Missing data". arXiv:1612.06037 [astro-ph.IM].
Ren, Bin; Pueyo, Laurent; Zhu, Guangtun B.; Duchêne, Gaspard (2018). "Non-negative Matrix Factorization: Robust Extraction of Extended Structures". The Astrophysical Journal. 852 (2): 104. arXiv:1712.10317. Bibcode:2018ApJ...852..104R. doi:10.3847/1538-4357/aaa1f2. S2CID 3966513.
Geiger, Bernhard; Kubin, Gernot (January 2013). "Signal Enhancement as Minimization of Relevant Information Loss". Proc. ITG Conf. On Systems, Communication and Coding. arXiv:1205.6935. Bibcode:2012arXiv1205.6935G.
Abdi. H. & Williams, L.J. (2010). "Principal component analysis". Wiley Interdisciplinary Reviews: Computational Statistics. 2 (4): 433–459. arXiv:1108.4372. doi:10.1002/wics.101. S2CID 122379222.
Andrecut, M. (2009). "Parallel GPU Implementation of Iterative PCA Algorithms". Journal of Computational Biology. 16 (11): 1593–1599. arXiv:0811.1081. doi:10.1089/cmb.2008.0221. PMID 19772385. S2CID 1362603.
Cohen, M.; S. Elder; C. Musco; C. Musco; M. Persu (2014). Dimensionality reduction for k-means clustering and low rank approximation (Appendix B). arXiv:1410.6801. Bibcode:2014arXiv1410.6801C.
Alexandre d'Aspremont; Laurent El Ghaoui; Michael I. Jordan; Gert R. G. Lanckriet (2007). "A Direct Formulation for Sparse PCA Using Semidefinite Programming" (PDF). SIAM Review. 49 (3): 434–448. arXiv:cs/0406021. doi:10.1137/050645506. S2CID 5490061.
Michel Journee; Yurii Nesterov; Peter Richtarik; Rodolphe Sepulchre (2010). "Generalized Power Method for Sparse Principal Component Analysis" (PDF). Journal of Machine Learning Research. 11: 517–553. arXiv:0811.4724. Bibcode:2008arXiv0811.4724J. CORE Discussion Paper 2008/70.
Peter Richtarik; Martin Takac; S. Damla Ahipasaoglu (2012). "Alternating Maximization: Unifying Framework for 8 Sparse PCA Formulations and Efficient Parallel Codes". arXiv:1212.4137 [stat.ML].
A. N. Gorban, A. Y. Zinovyev, "Principal Graphs and Manifolds", In: Handbook of Research on Machine Learning Applications and Trends: Algorithms, Methods and Techniques, Olivas E.S. et al Eds. Information Science Reference, IGI Global: Hershey, PA, USA, 2009. 28–59.
Emmanuel J. Candes; Xiaodong Li; Yi Ma; John Wright (2011). "Robust Principal Component Analysis?". Journal of the ACM. 58 (3): 11. arXiv:0912.3599. doi:10.1145/1970392.1970395. S2CID 7128002.
T. Bouwmans; A. Sobral; S. Javed; S. Jung; E. Zahzah (2015). "Decomposition into Low-rank plus Additive Matrices for Background/Foreground Separation: A Review for a Comparative Evaluation with a Large-Scale Dataset". Computer Science Review. 23: 1–71. arXiv:1511.01245. Bibcode:2015arXiv151101245B. doi:10.1016/j.cosrev.2016.11.001. S2CID 10420698.

books.google.com

Deco & Obradovic (1996). An Information-Theoretic Approach to Neural Computing. New York, NY: Springer. ISBN 9781461240167.
Kramer, R. (1998). Chemometric Techniques for Quantitative Analysis. New York: CRC Press. ISBN 9780203909805.
Le Roux; Brigitte and Henry Rouanet (2004). Geometric Data Analysis, From Correspondence Analysis to Structured Data Analysis. Dordrecht: Kluwer. ISBN 9781402022357.
Timothy A. Brown. Confirmatory Factor Analysis for Applied Research Methodology in the social sciences. Guilford Press, 2006

canterbury.ac.nz

ir.canterbury.ac.nz

Libin Yang. An Application of Principal Component Analysis to Stock Portfolio Management. Department of Economics and Finance, University of Canterbury, January 2015.

curie.fr

bioinfo-out.curie.fr

Zinovyev, A. "ViDaExpert – Multidimensional Data Visualization Tool". Institut Curie. Paris. (free for non-commercial use)

doi.org

Jolliffe, Ian T.; Cadima, Jorge (2016-04-13). "Principal component analysis: a review and recent developments". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 374 (2065): 20150202. Bibcode:2016RSPTA.37450202J. doi:10.1098/rsta.2015.0202. PMC 4792409. PMID 26953178.
Barnett, T. P. & R. Preisendorfer. (1987). "Origins and levels of monthly and seasonal forecast skill for United States surface air temperatures determined by canonical correlation analysis". Monthly Weather Review. 115 (9): 1825. Bibcode:1987MWRv..115.1825B. doi:10.1175/1520-0493(1987)115<1825:oaloma>2.0.co;2.
Markopoulos, Panos P.; Kundu, Sandipan; Chamadia, Shubham; Pados, Dimitris A. (15 August 2017). "Efficient L1-Norm Principal-Component Analysis via Bit Flipping". IEEE Transactions on Signal Processing. 65 (16): 4252–4264. arXiv:1610.01959. Bibcode:2017ITSP...65.4252M. doi:10.1109/TSP.2017.2708023. S2CID 7931130.
Chachlakis, Dimitris G.; Prater-Bennette, Ashley; Markopoulos, Panos P. (22 November 2019). "L1-norm Tucker Tensor Decomposition". IEEE Access. 7: 178454–178465. arXiv:1904.06455. doi:10.1109/ACCESS.2019.2955134.
Markopoulos, Panos P.; Karystinos, George N.; Pados, Dimitris A. (October 2014). "Optimal Algorithms for L1-subspace Signal Processing". IEEE Transactions on Signal Processing. 62 (19): 5046–5058. arXiv:1405.6785. Bibcode:2014ITSP...62.5046M. doi:10.1109/TSP.2014.2338077. S2CID 1494171.
Zhan, J.; Vaswani, N. (2015). "Robust PCA With Partial Subspace Knowledge". IEEE Transactions on Signal Processing. 63 (13): 3332–3347. arXiv:1403.1591. Bibcode:2015ITSP...63.3332Z. doi:10.1109/tsp.2015.2421485. S2CID 1516440.
Kanade, T.; Ke, Qifa (June 2005). "Robust L₁ Norm Factorization in the Presence of Outliers and Missing Data by Alternative Convex Programming". 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05). Vol. 1. IEEE. pp. 739–746. CiteSeerX 10.1.1.63.4605. doi:10.1109/CVPR.2005.309. ISBN 978-0-7695-2372-9. S2CID 17144854.
Pearson, K. (1901). "On Lines and Planes of Closest Fit to Systems of Points in Space". Philosophical Magazine. 2 (11): 559–572. doi:10.1080/14786440109462720. S2CID 125037489.
Hotelling, H. (1933). Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology, 24, 417–441, and 498–520.
Hotelling, H (1936). "Relations between two sets of variates". Biometrika. 28 (3/4): 321–377. doi:10.2307/2333955. JSTOR 2333955.
Stewart, G. W. (1993). "On the early history of the singular value decomposition". SIAM Review. 35 (4): 551–566. doi:10.1137/1035134. hdl:1903/566.
Jolliffe, I. T. (2002). Principal Component Analysis. Springer Series in Statistics. New York: Springer-Verlag. doi:10.1007/b98835. ISBN 978-0-387-95442-4.
Bengio, Y.; et al. (2013). "Representation Learning: A Review and New Perspectives". IEEE Transactions on Pattern Analysis and Machine Intelligence. 35 (8): 1798–1828. arXiv:1206.5538. doi:10.1109/TPAMI.2013.50. PMID 23787338. S2CID 393948.
Forkman J., Josse, J., Piepho, H. P. (2019). "Hypothesis tests for principal component analysis when variables are standardized". Journal of Agricultural, Biological, and Environmental Statistics. 24 (2): 289–308. doi:10.1007/s13253-019-00355-5.{{cite journal}}: CS1 maint: multiple names: authors list (link)
Boyd, Stephen; Vandenberghe, Lieven (2004-03-08). Convex Optimization. Cambridge University Press. doi:10.1017/cbo9780511804441. ISBN 978-0-521-83378-3.
Alizadeh, Elaheh; Lyons, Samanthe M; Castle, Jordan M; Prasad, Ashok (2016). "Measuring systematic changes in invasive cancer cell shape using Zernike moments". Integrative Biology. 8 (11): 1183–1193. doi:10.1039/C6IB00100A. PMID 27735002.
Soummer, Rémi; Pueyo, Laurent; Larkin, James (2012). "Detection and Characterization of Exoplanets and Disks Using Projections on Karhunen-Loève Eigenimages". The Astrophysical Journal Letters. 755 (2): L28. arXiv:1207.4197. Bibcode:2012ApJ...755L..28S. doi:10.1088/2041-8205/755/2/L28. S2CID 51088743.
Pueyo, Laurent (2016). "Detection and Characterization of Exoplanets using Projections on Karhunen Loeve Eigenimages: Forward Modeling". The Astrophysical Journal. 824 (2): 117. arXiv:1604.06097. Bibcode:2016ApJ...824..117P. doi:10.3847/0004-637X/824/2/117. S2CID 118349503.
Blanton, Michael R.; Roweis, Sam (2007). "K-corrections and filter transformations in the ultraviolet, optical, and near infrared". The Astronomical Journal. 133 (2): 734–754. arXiv:astro-ph/0606170. Bibcode:2007AJ....133..734B. doi:10.1086/510127. S2CID 18561804.
Ren, Bin; Pueyo, Laurent; Zhu, Guangtun B.; Duchêne, Gaspard (2018). "Non-negative Matrix Factorization: Robust Extraction of Extended Structures". The Astrophysical Journal. 852 (2): 104. arXiv:1712.10317. Bibcode:2018ApJ...852..104R. doi:10.3847/1538-4357/aaa1f2. S2CID 3966513.
Jiang, Hong; Eskridge, Kent M. (2000). "Bias in Principal Components Analysis Due to Correlated Observations". Conference on Applied Statistics in Agriculture. doi:10.4148/2475-7772.1247. ISSN 2475-7772.
Linsker, Ralph (March 1988). "Self-organization in a perceptual network". IEEE Computer. 21 (3): 105–117. doi:10.1109/2.36. S2CID 1527671.
Abdi. H. & Williams, L.J. (2010). "Principal component analysis". Wiley Interdisciplinary Reviews: Computational Statistics. 2 (4): 433–459. arXiv:1108.4372. doi:10.1002/wics.101. S2CID 122379222.
Geladi, Paul; Kowalski, Bruce (1986). "Partial Least Squares Regression:A Tutorial". Analytica Chimica Acta. 185: 1–17. doi:10.1016/0003-2670(86)80028-9.
Andrecut, M. (2009). "Parallel GPU Implementation of Iterative PCA Algorithms". Journal of Computational Biology. 16 (11): 1593–1599. arXiv:0811.1081. doi:10.1089/cmb.2008.0221. PMID 19772385. S2CID 1362603.
Novembre, John; Stephens, Matthew (2008). "Interpreting principal component analyses of spatial population genetic variation". Nat Genet. 40 (5): 646–49. doi:10.1038/ng.139. PMC 3989108. PMID 18425127.
Elhaik, Eran (2022). "Principal Component Analyses (PCA)‑based findings in population genetic studies are highly biased and must be reevaluated". Scientific Reports. 12 (1). 14683. Bibcode:2022NatSR..1214683E. doi:10.1038/s41598-022-14395-4. PMC 9424212. PMID 36038559. S2CID 251932226.
Chapin, John; Nicolelis, Miguel (1999). "Principal component analysis of neuronal ensemble activity reveals multidimensional somatosensory representations". Journal of Neuroscience Methods. 94 (1): 121–140. doi:10.1016/S0165-0270(99)00130-2. PMID 10638820. S2CID 17786731.
Jirsa, Victor; Friedrich, R; Haken, Herman; Kelso, Scott (1994). "A theoretical model of phase transitions in the human brain". Biological Cybernetics. 71 (1): 27–35. doi:10.1007/bf00198909. PMID 8054384. S2CID 5155075.
Meglen, R.R. (1991). "Examining Large Databases: A Chemometric Approach Using Principal Component Analysis". Journal of Chemometrics. 5 (3): 163–179. doi:10.1002/cem.1180050305. S2CID 120886184.
Drineas, P.; A. Frieze; R. Kannan; S. Vempala; V. Vinay (2004). "Clustering large graphs via the singular value decomposition" (PDF). Machine Learning. 56 (1–3): 9–33. doi:10.1023/b:mach.0000033113.59016.96. S2CID 5892850. Retrieved 2012-08-02.
Hui Zou; Trevor Hastie; Robert Tibshirani (2006). "Sparse principal component analysis" (PDF). Journal of Computational and Graphical Statistics. 15 (2): 262–286. CiteSeerX 10.1.1.62.580. doi:10.1198/106186006x113430. S2CID 5730904.
Alexandre d'Aspremont; Laurent El Ghaoui; Michael I. Jordan; Gert R. G. Lanckriet (2007). "A Direct Formulation for Sparse PCA Using Semidefinite Programming" (PDF). SIAM Review. 49 (3): 434–448. arXiv:cs/0406021. doi:10.1137/050645506. S2CID 5490061.
Hui Zou; Lingzhou Xue (2018). "A Selective Overview of Sparse Principal Component Analysis". Proceedings of the IEEE. 106 (8): 1311–1320. doi:10.1109/JPROC.2018.2846588.
Wang, Y.; Klijn, J. G.; Zhang, Y.; Sieuwerts, A. M.; Look, M. P.; Yang, F.; Talantov, D.; Timmermans, M.; Meijer-van Gelder, M. E.; Yu, J.; et al. (2005). "Gene expression profiles to predict distant metastasis of lymph-node-negative primary breast cancer". The Lancet. 365 (9460): 671–679. doi:10.1016/S0140-6736(05)17947-1. PMID 15721472. S2CID 16358549. Data online
Hastie, T.; Stuetzle, W. (June 1989). "Principal Curves" (PDF). Journal of the American Statistical Association. 84 (406): 502–506. doi:10.1080/01621459.1989.10478797.
Vasilescu, M.A.O.; Terzopoulos, D. (2002). Multilinear Analysis of Image Ensembles: TensorFaces (PDF). Lecture Notes in Computer Science 2350; (Presented at Proc. 7th European Conference on Computer Vision (ECCV'02), Copenhagen, Denmark). Springer, Berlin, Heidelberg. doi:10.1007/3-540-47969-4_30. ISBN 978-3-540-43745-1.
Kriegel, H. P.; Kröger, P.; Schubert, E.; Zimek, A. (2008). "A General Framework for Increasing the Robustness of PCA-Based Correlation Clustering Algorithms". Scientific and Statistical Database Management. Lecture Notes in Computer Science. Vol. 5069. pp. 418–435. CiteSeerX 10.1.1.144.4864. doi:10.1007/978-3-540-69497-7_27. ISBN 978-3-540-69476-2.
Emmanuel J. Candes; Xiaodong Li; Yi Ma; John Wright (2011). "Robust Principal Component Analysis?". Journal of the ACM. 58 (3): 11. arXiv:0912.3599. doi:10.1145/1970392.1970395. S2CID 7128002.
T. Bouwmans; E. Zahzah (2014). "Robust PCA via Principal Component Pursuit: A Review for a Comparative Evaluation in Video Surveillance". Computer Vision and Image Understanding. 122: 22–34. doi:10.1016/j.cviu.2013.11.009.
T. Bouwmans; A. Sobral; S. Javed; S. Jung; E. Zahzah (2015). "Decomposition into Low-rank plus Additive Matrices for Background/Foreground Separation: A Review for a Comparative Evaluation with a Large-Scale Dataset". Computer Science Review. 23: 1–71. arXiv:1511.01245. Bibcode:2015arXiv151101245B. doi:10.1016/j.cosrev.2016.11.001. S2CID 10420698.
Liao, J. C.; Boscolo, R.; Yang, Y.-L.; Tran, L. M.; Sabatti, C.; Roychowdhury, V. P. (2003). "Network component analysis: Reconstruction of regulatory signals in biological systems". Proceedings of the National Academy of Sciences. 100 (26): 15522–15527. Bibcode:2003PNAS..10015522L. doi:10.1073/pnas.2136632100. PMC 307600. PMID 14673099.
Liao, T.; Jombart, S.; Devillard, F.; Balloux (2010). "Discriminant analysis of principal components: a new method for the analysis of genetically structured populations". BMC Genetics. 11: 11:94. doi:10.1186/1471-2156-11-94. PMC 2973851. PMID 20950446.
Jewson, S. (2020). "An Alternative to PCA for Estimating Dominant Patterns of Climate Variability and Extremes, with Application to U.S. and China Seasonal Rainfall". Atmosphere. 11 (4): 354. Bibcode:2020Atmos..11..354J. doi:10.3390/atmos11040354.
Scher, S.; Jewson, S.; Messori, G. (2021). "Robust Worst-Case Scenarios from Ensemble Forecasts". Weather and Forecasting. 36 (4): 1357–1373. Bibcode:2021WtFor..36.1357S. doi:10.1175/WAF-D-20-0219.1. S2CID 236300040.
Jewson, S.; Messori, G.; Barbato, G.; Mercogliano, P.; Mysiak, J.; Sassi, M. (2022). "Developing Representative Impact Scenarios From Climate Projection Ensembles, With Application to UKCP18 and EURO-CORDEX Precipitation". Journal of Advances in Modeling Earth Systems. 15 (1). doi:10.1029/2022MS003038. S2CID 254965361.

dx.doi.org

Boyd, Stephen; Vandenberghe, Lieven (2004-03-08). Convex Optimization. Cambridge University Press. doi:10.1017/cbo9780511804441. ISBN 978-0-521-83378-3.

gatech.edu

cc.gatech.edu

Drineas, P.; A. Frieze; R. Kannan; S. Vempala; V. Vinay (2004). "Clustering large graphs via the singular value decomposition" (PDF). Machine Learning. 56 (1–3): 9–33. doi:10.1023/b:mach.0000033113.59016.96. S2CID 5892850. Retrieved 2012-08-02.

handle.net

hdl.handle.net

Stewart, G. W. (1993). "On the early history of the singular value decomposition". SIAM Review. 35 (4): 551–566. doi:10.1137/1035134. hdl:1903/566.

harvard.edu

ui.adsabs.harvard.edu

Jolliffe, Ian T.; Cadima, Jorge (2016-04-13). "Principal component analysis: a review and recent developments". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 374 (2065): 20150202. Bibcode:2016RSPTA.37450202J. doi:10.1098/rsta.2015.0202. PMC 4792409. PMID 26953178.
Barnett, T. P. & R. Preisendorfer. (1987). "Origins and levels of monthly and seasonal forecast skill for United States surface air temperatures determined by canonical correlation analysis". Monthly Weather Review. 115 (9): 1825. Bibcode:1987MWRv..115.1825B. doi:10.1175/1520-0493(1987)115<1825:oaloma>2.0.co;2.
Hsu, Daniel; Kakade, Sham M.; Zhang, Tong (2008). A spectral algorithm for learning hidden markov models. arXiv:0811.4413. Bibcode:2008arXiv0811.4413H.
Markopoulos, Panos P.; Kundu, Sandipan; Chamadia, Shubham; Pados, Dimitris A. (15 August 2017). "Efficient L1-Norm Principal-Component Analysis via Bit Flipping". IEEE Transactions on Signal Processing. 65 (16): 4252–4264. arXiv:1610.01959. Bibcode:2017ITSP...65.4252M. doi:10.1109/TSP.2017.2708023. S2CID 7931130.
Markopoulos, Panos P.; Karystinos, George N.; Pados, Dimitris A. (October 2014). "Optimal Algorithms for L1-subspace Signal Processing". IEEE Transactions on Signal Processing. 62 (19): 5046–5058. arXiv:1405.6785. Bibcode:2014ITSP...62.5046M. doi:10.1109/TSP.2014.2338077. S2CID 1494171.
Zhan, J.; Vaswani, N. (2015). "Robust PCA With Partial Subspace Knowledge". IEEE Transactions on Signal Processing. 63 (13): 3332–3347. arXiv:1403.1591. Bibcode:2015ITSP...63.3332Z. doi:10.1109/tsp.2015.2421485. S2CID 1516440.
Soummer, Rémi; Pueyo, Laurent; Larkin, James (2012). "Detection and Characterization of Exoplanets and Disks Using Projections on Karhunen-Loève Eigenimages". The Astrophysical Journal Letters. 755 (2): L28. arXiv:1207.4197. Bibcode:2012ApJ...755L..28S. doi:10.1088/2041-8205/755/2/L28. S2CID 51088743.
Pueyo, Laurent (2016). "Detection and Characterization of Exoplanets using Projections on Karhunen Loeve Eigenimages: Forward Modeling". The Astrophysical Journal. 824 (2): 117. arXiv:1604.06097. Bibcode:2016ApJ...824..117P. doi:10.3847/0004-637X/824/2/117. S2CID 118349503.
Blanton, Michael R.; Roweis, Sam (2007). "K-corrections and filter transformations in the ultraviolet, optical, and near infrared". The Astronomical Journal. 133 (2): 734–754. arXiv:astro-ph/0606170. Bibcode:2007AJ....133..734B. doi:10.1086/510127. S2CID 18561804.
Ren, Bin; Pueyo, Laurent; Zhu, Guangtun B.; Duchêne, Gaspard (2018). "Non-negative Matrix Factorization: Robust Extraction of Extended Structures". The Astrophysical Journal. 852 (2): 104. arXiv:1712.10317. Bibcode:2018ApJ...852..104R. doi:10.3847/1538-4357/aaa1f2. S2CID 3966513.
Geiger, Bernhard; Kubin, Gernot (January 2013). "Signal Enhancement as Minimization of Relevant Information Loss". Proc. ITG Conf. On Systems, Communication and Coding. arXiv:1205.6935. Bibcode:2012arXiv1205.6935G.
Elhaik, Eran (2022). "Principal Component Analyses (PCA)‑based findings in population genetic studies are highly biased and must be reevaluated". Scientific Reports. 12 (1). 14683. Bibcode:2022NatSR..1214683E. doi:10.1038/s41598-022-14395-4. PMC 9424212. PMID 36038559. S2CID 251932226.
Cohen, M.; S. Elder; C. Musco; C. Musco; M. Persu (2014). Dimensionality reduction for k-means clustering and low rank approximation (Appendix B). arXiv:1410.6801. Bibcode:2014arXiv1410.6801C.
Michel Journee; Yurii Nesterov; Peter Richtarik; Rodolphe Sepulchre (2010). "Generalized Power Method for Sparse Principal Component Analysis" (PDF). Journal of Machine Learning Research. 11: 517–553. arXiv:0811.4724. Bibcode:2008arXiv0811.4724J. CORE Discussion Paper 2008/70.
T. Bouwmans; A. Sobral; S. Javed; S. Jung; E. Zahzah (2015). "Decomposition into Low-rank plus Additive Matrices for Background/Foreground Separation: A Review for a Comparative Evaluation with a Large-Scale Dataset". Computer Science Review. 23: 1–71. arXiv:1511.01245. Bibcode:2015arXiv151101245B. doi:10.1016/j.cosrev.2016.11.001. S2CID 10420698.
Liao, J. C.; Boscolo, R.; Yang, Y.-L.; Tran, L. M.; Sabatti, C.; Roychowdhury, V. P. (2003). "Network component analysis: Reconstruction of regulatory signals in biological systems". Proceedings of the National Academy of Sciences. 100 (26): 15522–15527. Bibcode:2003PNAS..10015522L. doi:10.1073/pnas.2136632100. PMC 307600. PMID 14673099.
Jewson, S. (2020). "An Alternative to PCA for Estimating Dominant Patterns of Climate Variability and Extremes, with Application to U.S. and China Seasonal Rainfall". Atmosphere. 11 (4): 354. Bibcode:2020Atmos..11..354J. doi:10.3390/atmos11040354.
Scher, S.; Jewson, S.; Messori, G. (2021). "Robust Worst-Case Scenarios from Ensemble Forecasts". Weather and Forecasting. 36 (4): 1357–1373. Bibcode:2021WtFor..36.1357S. doi:10.1175/WAF-D-20-0219.1. S2CID 236300040.

herts.ac.uk

uhra.herts.ac.uk

Leznik, M; Tofallis, C. 2005 Estimating Invariant Principal Components Using Diagonal Regression.

i2tutorials.com

"What are the Pros and cons of the PCA?". i2tutorials. September 1, 2019. Retrieved June 4, 2021.

ihes.fr

Wang, Y.; Klijn, J. G.; Zhang, Y.; Sieuwerts, A. M.; Look, M. P.; Yang, F.; Talantov, D.; Timmermans, M.; Meijer-van Gelder, M. E.; Yu, J.; et al. (2005). "Gene expression profiles to predict distant metastasis of lymph-node-negative primary breast cancer". The Lancet. 365 (9460): 671–679. doi:10.1016/S0140-6736(05)17947-1. PMID 15721472. S2CID 16358549. Data online

ijpam.eu

Giorgia Pasini (2017); Principal Component Analysis for Stock Portfolio Management. International Journal of Pure and Applied Mathematics. Volume 115 No. 1 2017, 153–167

imf.org

elibrary.imf.org

See Ch. 25 § "Scenario testing using principal component analysis" in Li Ong (2014). "A Guide to IMF Stress Testing Methods and Models", International Monetary Fund

jmlr.org

Warmuth, M. K.; Kuzmin, D. (2008). "Randomized online PCA algorithms with regret bounds that are logarithmic in the dimension" (PDF). Journal of Machine Learning Research. 9: 2287–2320.

jstor.org

Hotelling, H. (1933). Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology, 24, 417–441, and 498–520.
Hotelling, H (1936). "Relations between two sets of variates". Biometrika. 28 (3/4): 321–377. doi:10.2307/2333955. JSTOR 2333955.

kb.se

urn.kb.se

Jewson, S.; Messori, G.; Barbato, G.; Mercogliano, P.; Mysiak, J.; Sassi, M. (2022). "Developing Representative Impact Scenarios From Climate Projection Ensembles, With Application to UKCP18 and EURO-CORDEX Precipitation". Journal of Advances in Modeling Earth Systems. 15 (1). doi:10.1029/2022MS003038. S2CID 254965361.

mathworks.com

eig function Matlab documentation
"Face Recognition System-PCA based". www.mathworks.com. 19 June 2023.

mit.edu

jmlr.csail.mit.edu

Michel Journee; Yurii Nesterov; Peter Richtarik; Rodolphe Sepulchre (2010). "Generalized Power Method for Sparse Principal Component Analysis" (PDF). Journal of Machine Learning Research. 11: 517–553. arXiv:0811.4724. Bibcode:2008arXiv0811.4724J. CORE Discussion Paper 2008/70.
Yue Guan; Jennifer Dy (2009). "Sparse Probabilistic Principal Component Analysis" (PDF). Journal of Machine Learning Research Workshop and Conference Proceedings. 5: 185.

media.mit.edu

Vasilescu, M.A.O.; Terzopoulos, D. (June 2005). Multilinear Independent Component Analysis (PDF). Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR’05). Vol. 1. San Diego, CA. pp. 547–553.

newprairiepress.org

Jiang, Hong; Eskridge, Kent M. (2000). "Bias in Principal Components Analysis Due to Correlated Observations". Conference on Applied Statistics in Agriculture. doi:10.4148/2475-7772.1247. ISSN 2475-7772.

nih.gov

pubmed.ncbi.nlm.nih.gov

Jolliffe, Ian T.; Cadima, Jorge (2016-04-13). "Principal component analysis: a review and recent developments". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 374 (2065): 20150202. Bibcode:2016RSPTA.37450202J. doi:10.1098/rsta.2015.0202. PMC 4792409. PMID 26953178.
Bengio, Y.; et al. (2013). "Representation Learning: A Review and New Perspectives". IEEE Transactions on Pattern Analysis and Machine Intelligence. 35 (8): 1798–1828. arXiv:1206.5538. doi:10.1109/TPAMI.2013.50. PMID 23787338. S2CID 393948.
Alizadeh, Elaheh; Lyons, Samanthe M; Castle, Jordan M; Prasad, Ashok (2016). "Measuring systematic changes in invasive cancer cell shape using Zernike moments". Integrative Biology. 8 (11): 1183–1193. doi:10.1039/C6IB00100A. PMID 27735002.
Andrecut, M. (2009). "Parallel GPU Implementation of Iterative PCA Algorithms". Journal of Computational Biology. 16 (11): 1593–1599. arXiv:0811.1081. doi:10.1089/cmb.2008.0221. PMID 19772385. S2CID 1362603.
Novembre, John; Stephens, Matthew (2008). "Interpreting principal component analyses of spatial population genetic variation". Nat Genet. 40 (5): 646–49. doi:10.1038/ng.139. PMC 3989108. PMID 18425127.
Elhaik, Eran (2022). "Principal Component Analyses (PCA)‑based findings in population genetic studies are highly biased and must be reevaluated". Scientific Reports. 12 (1). 14683. Bibcode:2022NatSR..1214683E. doi:10.1038/s41598-022-14395-4. PMC 9424212. PMID 36038559. S2CID 251932226.
Chapin, John; Nicolelis, Miguel (1999). "Principal component analysis of neuronal ensemble activity reveals multidimensional somatosensory representations". Journal of Neuroscience Methods. 94 (1): 121–140. doi:10.1016/S0165-0270(99)00130-2. PMID 10638820. S2CID 17786731.
Jirsa, Victor; Friedrich, R; Haken, Herman; Kelso, Scott (1994). "A theoretical model of phase transitions in the human brain". Biological Cybernetics. 71 (1): 27–35. doi:10.1007/bf00198909. PMID 8054384. S2CID 5155075.
Wang, Y.; Klijn, J. G.; Zhang, Y.; Sieuwerts, A. M.; Look, M. P.; Yang, F.; Talantov, D.; Timmermans, M.; Meijer-van Gelder, M. E.; Yu, J.; et al. (2005). "Gene expression profiles to predict distant metastasis of lymph-node-negative primary breast cancer". The Lancet. 365 (9460): 671–679. doi:10.1016/S0140-6736(05)17947-1. PMID 15721472. S2CID 16358549. Data online
Liao, J. C.; Boscolo, R.; Yang, Y.-L.; Tran, L. M.; Sabatti, C.; Roychowdhury, V. P. (2003). "Network component analysis: Reconstruction of regulatory signals in biological systems". Proceedings of the National Academy of Sciences. 100 (26): 15522–15527. Bibcode:2003PNAS..10015522L. doi:10.1073/pnas.2136632100. PMC 307600. PMID 14673099.
Liao, T.; Jombart, S.; Devillard, F.; Balloux (2010). "Discriminant analysis of principal components: a new method for the analysis of genetically structured populations". BMC Genetics. 11: 11:94. doi:10.1186/1471-2156-11-94. PMC 2973851. PMID 20950446.

ncbi.nlm.nih.gov

Jolliffe, Ian T.; Cadima, Jorge (2016-04-13). "Principal component analysis: a review and recent developments". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 374 (2065): 20150202. Bibcode:2016RSPTA.37450202J. doi:10.1098/rsta.2015.0202. PMC 4792409. PMID 26953178.
Novembre, John; Stephens, Matthew (2008). "Interpreting principal component analyses of spatial population genetic variation". Nat Genet. 40 (5): 646–49. doi:10.1038/ng.139. PMC 3989108. PMID 18425127.
Elhaik, Eran (2022). "Principal Component Analyses (PCA)‑based findings in population genetic studies are highly biased and must be reevaluated". Scientific Reports. 12 (1). 14683. Bibcode:2022NatSR..1214683E. doi:10.1038/s41598-022-14395-4. PMC 9424212. PMID 36038559. S2CID 251932226.
Liao, J. C.; Boscolo, R.; Yang, Y.-L.; Tran, L. M.; Sabatti, C.; Roychowdhury, V. P. (2003). "Network component analysis: Reconstruction of regulatory signals in biological systems". Proceedings of the National Academy of Sciences. 100 (26): 15522–15527. Bibcode:2003PNAS..10015522L. doi:10.1073/pnas.2136632100. PMC 307600. PMID 14673099.
Liao, T.; Jombart, S.; Devillard, F.; Balloux (2010). "Discriminant analysis of principal components: a new method for the analysis of genetically structured populations". BMC Genetics. 11: 11:94. doi:10.1186/1471-2156-11-94. PMC 2973851. PMID 20950446.

nips.cc

books.nips.cc

Baback Moghaddam; Yair Weiss; Shai Avidan (2005). "Spectral Bounds for Sparse PCA: Exact and Greedy Algorithms" (PDF). Advances in Neural Information Processing Systems. Vol. 18. MIT Press.

nist.gov

itl.nist.gov

"Engineering Statistics Handbook Section 6.5.5.2". Retrieved 19 January 2015.

otago.ac.nz

cs.otago.ac.nz

See also the tutorial here

ox.ac.uk

oxis.oii.ox.ac.uk

Dutton, William H; Blank, Grant (2013). Cultures of the Internet: The Internet in Britain (PDF). Oxford Internet Institute. p. 6.

polytechnique.fr

cmap.polytechnique.fr

Alexandre d'Aspremont; Laurent El Ghaoui; Michael I. Jordan; Gert R. G. Lanckriet (2007). "A Direct Formulation for Sparse PCA Using Semidefinite Programming" (PDF). SIAM Review. 49 (3): 434–448. arXiv:cs/0406021. doi:10.1137/050645506. S2CID 5490061.

psu.edu

citeseerx.ist.psu.edu

Kanade, T.; Ke, Qifa (June 2005). "Robust L₁ Norm Factorization in the Presence of Outliers and Missing Data by Alternative Convex Programming". 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05). Vol. 1. IEEE. pp. 739–746. CiteSeerX 10.1.1.63.4605. doi:10.1109/CVPR.2005.309. ISBN 978-0-7695-2372-9. S2CID 17144854.
Hui Zou; Trevor Hastie; Robert Tibshirani (2006). "Sparse principal component analysis" (PDF). Journal of Computational and Graphical Statistics. 15 (2): 262–286. CiteSeerX 10.1.1.62.580. doi:10.1198/106186006x113430. S2CID 5730904.
Kriegel, H. P.; Kröger, P.; Schubert, E.; Zimek, A. (2008). "A General Framework for Increasing the Robustness of PCA-Based Correlation Clustering Algorithms". Scientific and Statistical Database Management. Lecture Notes in Computer Science. Vol. 5069. pp. 418–435. CiteSeerX 10.1.1.144.4864. doi:10.1007/978-3-540-69497-7_27. ISBN 978-3-540-69476-2.

researchgate.net

DeSarbo, Wayne; Hausmann, Robert; Kukitz, Jeffrey (2007). "Restricted principal components analysis for marketing research". Journal of Marketing in Management. 2: 305–328 – via Researchgate.
A.N. Gorban, B. Kegl, D.C. Wunsch, A. Zinovyev (Eds.), Principal Manifolds for Data Visualisation and Dimension Reduction, LNCSE 58, Springer, Berlin – Heidelberg – New York, 2007. ISBN 978-3-540-73749-0

rsc.org

pubs.rsc.org

Alizadeh, Elaheh; Lyons, Samanthe M; Castle, Jordan M; Prasad, Ashok (2016). "Measuring systematic changes in invasive cancer cell shape using Zernike moments". Integrative Biology. 8 (11): 1183–1193. doi:10.1039/C6IB00100A. PMID 27735002.

sas.com

support.sas.com

"SAS/STAT(R) 9.3 User's Guide".

semanticscholar.org

api.semanticscholar.org

Markopoulos, Panos P.; Kundu, Sandipan; Chamadia, Shubham; Pados, Dimitris A. (15 August 2017). "Efficient L1-Norm Principal-Component Analysis via Bit Flipping". IEEE Transactions on Signal Processing. 65 (16): 4252–4264. arXiv:1610.01959. Bibcode:2017ITSP...65.4252M. doi:10.1109/TSP.2017.2708023. S2CID 7931130.
Markopoulos, Panos P.; Karystinos, George N.; Pados, Dimitris A. (October 2014). "Optimal Algorithms for L1-subspace Signal Processing". IEEE Transactions on Signal Processing. 62 (19): 5046–5058. arXiv:1405.6785. Bibcode:2014ITSP...62.5046M. doi:10.1109/TSP.2014.2338077. S2CID 1494171.
Zhan, J.; Vaswani, N. (2015). "Robust PCA With Partial Subspace Knowledge". IEEE Transactions on Signal Processing. 63 (13): 3332–3347. arXiv:1403.1591. Bibcode:2015ITSP...63.3332Z. doi:10.1109/tsp.2015.2421485. S2CID 1516440.
Kanade, T.; Ke, Qifa (June 2005). "Robust L₁ Norm Factorization in the Presence of Outliers and Missing Data by Alternative Convex Programming". 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05). Vol. 1. IEEE. pp. 739–746. CiteSeerX 10.1.1.63.4605. doi:10.1109/CVPR.2005.309. ISBN 978-0-7695-2372-9. S2CID 17144854.
Pearson, K. (1901). "On Lines and Planes of Closest Fit to Systems of Points in Space". Philosophical Magazine. 2 (11): 559–572. doi:10.1080/14786440109462720. S2CID 125037489.
Bengio, Y.; et al. (2013). "Representation Learning: A Review and New Perspectives". IEEE Transactions on Pattern Analysis and Machine Intelligence. 35 (8): 1798–1828. arXiv:1206.5538. doi:10.1109/TPAMI.2013.50. PMID 23787338. S2CID 393948.
Soummer, Rémi; Pueyo, Laurent; Larkin, James (2012). "Detection and Characterization of Exoplanets and Disks Using Projections on Karhunen-Loève Eigenimages". The Astrophysical Journal Letters. 755 (2): L28. arXiv:1207.4197. Bibcode:2012ApJ...755L..28S. doi:10.1088/2041-8205/755/2/L28. S2CID 51088743.
Pueyo, Laurent (2016). "Detection and Characterization of Exoplanets using Projections on Karhunen Loeve Eigenimages: Forward Modeling". The Astrophysical Journal. 824 (2): 117. arXiv:1604.06097. Bibcode:2016ApJ...824..117P. doi:10.3847/0004-637X/824/2/117. S2CID 118349503.
Blanton, Michael R.; Roweis, Sam (2007). "K-corrections and filter transformations in the ultraviolet, optical, and near infrared". The Astronomical Journal. 133 (2): 734–754. arXiv:astro-ph/0606170. Bibcode:2007AJ....133..734B. doi:10.1086/510127. S2CID 18561804.
Ren, Bin; Pueyo, Laurent; Zhu, Guangtun B.; Duchêne, Gaspard (2018). "Non-negative Matrix Factorization: Robust Extraction of Extended Structures". The Astrophysical Journal. 852 (2): 104. arXiv:1712.10317. Bibcode:2018ApJ...852..104R. doi:10.3847/1538-4357/aaa1f2. S2CID 3966513.
Linsker, Ralph (March 1988). "Self-organization in a perceptual network". IEEE Computer. 21 (3): 105–117. doi:10.1109/2.36. S2CID 1527671.
Abdi. H. & Williams, L.J. (2010). "Principal component analysis". Wiley Interdisciplinary Reviews: Computational Statistics. 2 (4): 433–459. arXiv:1108.4372. doi:10.1002/wics.101. S2CID 122379222.
Andrecut, M. (2009). "Parallel GPU Implementation of Iterative PCA Algorithms". Journal of Computational Biology. 16 (11): 1593–1599. arXiv:0811.1081. doi:10.1089/cmb.2008.0221. PMID 19772385. S2CID 1362603.
Elhaik, Eran (2022). "Principal Component Analyses (PCA)‑based findings in population genetic studies are highly biased and must be reevaluated". Scientific Reports. 12 (1). 14683. Bibcode:2022NatSR..1214683E. doi:10.1038/s41598-022-14395-4. PMC 9424212. PMID 36038559. S2CID 251932226.
Chapin, John; Nicolelis, Miguel (1999). "Principal component analysis of neuronal ensemble activity reveals multidimensional somatosensory representations". Journal of Neuroscience Methods. 94 (1): 121–140. doi:10.1016/S0165-0270(99)00130-2. PMID 10638820. S2CID 17786731.
Jirsa, Victor; Friedrich, R; Haken, Herman; Kelso, Scott (1994). "A theoretical model of phase transitions in the human brain". Biological Cybernetics. 71 (1): 27–35. doi:10.1007/bf00198909. PMID 8054384. S2CID 5155075.
Meglen, R.R. (1991). "Examining Large Databases: A Chemometric Approach Using Principal Component Analysis". Journal of Chemometrics. 5 (3): 163–179. doi:10.1002/cem.1180050305. S2CID 120886184.
Drineas, P.; A. Frieze; R. Kannan; S. Vempala; V. Vinay (2004). "Clustering large graphs via the singular value decomposition" (PDF). Machine Learning. 56 (1–3): 9–33. doi:10.1023/b:mach.0000033113.59016.96. S2CID 5892850. Retrieved 2012-08-02.
Hui Zou; Trevor Hastie; Robert Tibshirani (2006). "Sparse principal component analysis" (PDF). Journal of Computational and Graphical Statistics. 15 (2): 262–286. CiteSeerX 10.1.1.62.580. doi:10.1198/106186006x113430. S2CID 5730904.
Alexandre d'Aspremont; Laurent El Ghaoui; Michael I. Jordan; Gert R. G. Lanckriet (2007). "A Direct Formulation for Sparse PCA Using Semidefinite Programming" (PDF). SIAM Review. 49 (3): 434–448. arXiv:cs/0406021. doi:10.1137/050645506. S2CID 5490061.
Wang, Y.; Klijn, J. G.; Zhang, Y.; Sieuwerts, A. M.; Look, M. P.; Yang, F.; Talantov, D.; Timmermans, M.; Meijer-van Gelder, M. E.; Yu, J.; et al. (2005). "Gene expression profiles to predict distant metastasis of lymph-node-negative primary breast cancer". The Lancet. 365 (9460): 671–679. doi:10.1016/S0140-6736(05)17947-1. PMID 15721472. S2CID 16358549. Data online
Emmanuel J. Candes; Xiaodong Li; Yi Ma; John Wright (2011). "Robust Principal Component Analysis?". Journal of the ACM. 58 (3): 11. arXiv:0912.3599. doi:10.1145/1970392.1970395. S2CID 7128002.
T. Bouwmans; A. Sobral; S. Javed; S. Jung; E. Zahzah (2015). "Decomposition into Low-rank plus Additive Matrices for Background/Foreground Separation: A Review for a Comparative Evaluation with a Large-Scale Dataset". Computer Science Review. 23: 1–71. arXiv:1511.01245. Bibcode:2015arXiv151101245B. doi:10.1016/j.cosrev.2016.11.001. S2CID 10420698.
Scher, S.; Jewson, S.; Messori, G. (2021). "Robust Worst-Case Scenarios from Ensemble Forecasts". Weather and Forecasting. 36 (4): 1357–1373. Bibcode:2021WtFor..36.1357S. doi:10.1175/WAF-D-20-0219.1. S2CID 236300040.
Jewson, S.; Messori, G.; Barbato, G.; Mercogliano, P.; Mysiak, J.; Sassi, M. (2022). "Developing Representative Impact Scenarios From Climate Projection Ensembles, With Application to UKCP18 and EURO-CORDEX Precipitation". Journal of Advances in Modeling Earth Systems. 15 (1). doi:10.1029/2022MS003038. S2CID 254965361.

springer.com

link.springer.com

Jolliffe, I. T. (2002). Principal Component Analysis. Springer Series in Statistics. New York: Springer-Verlag. doi:10.1007/b98835. ISBN 978-0-387-95442-4.

stanford.edu

www-stat.stanford.edu

Hui Zou; Trevor Hastie; Robert Tibshirani (2006). "Sparse principal component analysis" (PDF). Journal of Computational and Graphical Statistics. 15 (2): 262–286. CiteSeerX 10.1.1.62.580. doi:10.1198/106186006x113430. S2CID 5730904.

web.stanford.edu

Hastie, T.; Stuetzle, W. (June 1989). "Principal Curves" (PDF). Journal of the American Statistical Association. 84 (406): 502–506. doi:10.1080/01621459.1989.10478797.

toronto.edu

cs.toronto.edu

Vasilescu, M.A.O.; Terzopoulos, D. (2003). Multilinear Subspace Analysis of Image Ensembles (PDF). Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR’03). Madison, WI.
Vasilescu, M.A.O.; Terzopoulos, D. (2002). Multilinear Analysis of Image Ensembles: TensorFaces (PDF). Lecture Notes in Computer Science 2350; (Presented at Proc. 7th European Conference on Computer Vision (ECCV'02), Copenhagen, Denmark). Springer, Berlin, Heidelberg. doi:10.1007/3-540-47969-4_30. ISBN 978-3-540-43745-1.

ucla.edu

stats.idre.ucla.edu

"Principal Components Analysis". Institute for Digital Research and Education. UCLA. Retrieved 29 May 2018.

ulb.ac.be

A. A. Miranda, Y. A. Le Borgne, and G. Bontempi. New Routes from Minimal Approximation Error to Principal Components, Volume 27, Number 3 / June, 2008, Neural Processing Letters, Springer
A.A. Miranda, Y.-A. Le Borgne, and G. Bontempi. New Routes from Minimal Approximation Error to Principal Components, Volume 27, Number 3 / June, 2008, Neural Processing Letters, Springer

umn.edu

purl.umn.edu

Stewart, G. W. (1993). "On the early history of the singular value decomposition". SIAM Review. 35 (4): 551–566. doi:10.1137/1035134. hdl:1903/566.

undp.org

hdr.undp.org

Human Development Reports. "Human Development Index". United Nations Development Programme. Retrieved 2022-05-06.

uta.edu

ranger.uta.edu

H. Zha; C. Ding; M. Gu; X. He; H.D. Simon (Dec 2001). "Spectral Relaxation for K-means Clustering" (PDF). Neural Information Processing Systems Vol.14 (NIPS 2001): 1057–1064.
Chris Ding; Xiaofeng He (July 2004). "K-means Clustering via Principal Component Analysis" (PDF). Proc. Of Int'l Conf. Machine Learning (ICML 2004): 225–232.

utoronto.ca

www-2.rotman.utoronto.ca

example decomposition, John Hull

wolfram.com

reference.wolfram.com

Eigenvalues function Mathematica documentation

worldcat.org

Jiang, Hong; Eskridge, Kent M. (2000). "Bias in Principal Components Analysis Due to Correlated Observations". Conference on Applied Statistics in Agriculture. doi:10.4148/2475-7772.1247. ISSN 2475-7772.

zenodo.org

Pearson, K. (1901). "On Lines and Planes of Closest Fit to Systems of Points in Space". Philosophical Magazine. 2 (11): 559–572. doi:10.1080/14786440109462720. S2CID 125037489.