Mohammadi, Mohammad Principal component analysis for \(\alpha\)-stable vectors. (English) Zbl 07603813 Commun. Stat., Simulation Comput. 51, No. 9, 5245-5263 (2022). MSC: 60E07 62H25 PDFBibTeX XMLCite \textit{M. Mohammadi}, Commun. Stat., Simulation Comput. 51, No. 9, 5245--5263 (2022; Zbl 07603813) Full Text: DOI
Majumdar, Subhabrata; Chatterjee, Snigdhansu On weighted multivariate sign functions. (English) Zbl 1493.62285 J. Multivariate Anal. 191, Article ID 105013, 19 p. (2022). MSC: 62H10 62H25 PDFBibTeX XMLCite \textit{S. Majumdar} and \textit{S. Chatterjee}, J. Multivariate Anal. 191, Article ID 105013, 19 p. (2022; Zbl 1493.62285) Full Text: DOI arXiv
Sando, Keishi; Hino, Hideitsu Modal principal component analysis. (English) Zbl 1455.62120 Neural Comput. 32, No. 10, 1901-1935 (2020). MSC: 62H25 62G35 PDFBibTeX XMLCite \textit{K. Sando} and \textit{H. Hino}, Neural Comput. 32, No. 10, 1901--1935 (2020; Zbl 1455.62120) Full Text: DOI arXiv
Wehrens, Ron Chemometrics with R. Multivariate data analysis in the natural and life sciences. 2nd revised and extended edition. (English) Zbl 1454.62006 Use R!. Berlin: Springer (ISBN 978-3-662-62026-7/pbk; 978-3-662-62027-4/ebook). xvi, 308 p. (2020). MSC: 62-02 62H30 62H25 62-04 62R07 PDFBibTeX XMLCite \textit{R. Wehrens}, Chemometrics with R. Multivariate data analysis in the natural and life sciences. 2nd revised and extended edition. Berlin: Springer (2020; Zbl 1454.62006) Full Text: DOI
Paindaveine, Davy; Remy, Julien; Verdebout, Thomas Testing for principal component directions under weak identifiability. (English) Zbl 1439.62075 Ann. Stat. 48, No. 1, 324-345 (2020). Reviewer: Fraser Daly (Edinburgh) MSC: 62F05 62F03 62H25 62E20 PDFBibTeX XMLCite \textit{D. Paindaveine} et al., Ann. Stat. 48, No. 1, 324--345 (2020; Zbl 1439.62075) Full Text: DOI arXiv Euclid
Agostinelli, Claudio; Greco, Luca Weighted likelihood estimation of multivariate location and scatter. (English) Zbl 1420.62128 Test 28, No. 3, 756-784 (2019). MSC: 62F35 62G35 62H25 62H30 PDFBibTeX XMLCite \textit{C. Agostinelli} and \textit{L. Greco}, Test 28, No. 3, 756--784 (2019; Zbl 1420.62128) Full Text: DOI arXiv
Bai, Jushan; Ng, Serena Rank regularized estimation of approximate factor models. (English) Zbl 1452.62405 J. Econom. 212, No. 1, 78-96 (2019). MSC: 62H25 62P20 PDFBibTeX XMLCite \textit{J. Bai} and \textit{S. Ng}, J. Econom. 212, No. 1, 78--96 (2019; Zbl 1452.62405) Full Text: DOI
Cevallos-Valdiviezo, Holger; Van Aelst, Stefan Fast computation of robust subspace estimators. (English) Zbl 1507.62023 Comput. Stat. Data Anal. 134, 171-185 (2019). MSC: 62-08 62H25 62F35 PDFBibTeX XMLCite \textit{H. Cevallos-Valdiviezo} and \textit{S. Van Aelst}, Comput. Stat. Data Anal. 134, 171--185 (2019; Zbl 1507.62023) Full Text: DOI arXiv Link
Archimbaud, Aurore; Nordhausen, Klaus; Ruiz-Gazen, Anne ICS for multivariate outlier detection with application to quality control. (English) Zbl 1469.62016 Comput. Stat. Data Anal. 128, 184-199 (2018). MSC: 62-08 62H25 62P30 PDFBibTeX XMLCite \textit{A. Archimbaud} et al., Comput. Stat. Data Anal. 128, 184--199 (2018; Zbl 1469.62016) Full Text: DOI arXiv
Bertsimas, Dimitris; Copenhaver, Martin S. Characterization of the equivalence of robustification and regularization in linear and matrix regression. (English) Zbl 1403.62040 Eur. J. Oper. Res. 270, No. 3, 931-942 (2018). MSC: 62F35 62H12 62H25 62J07 68T05 90C25 PDFBibTeX XMLCite \textit{D. Bertsimas} and \textit{M. S. Copenhaver}, Eur. J. Oper. Res. 270, No. 3, 931--942 (2018; Zbl 1403.62040) Full Text: DOI arXiv
Greco, Luca; Farcomeni, Alessio A plug-in approach to sparse and robust principal component analysis. (English) Zbl 06833258 Test 25, No. 3, 449-481 (2016). MSC: 62F35 62H25 PDFBibTeX XMLCite \textit{L. Greco} and \textit{A. Farcomeni}, Test 25, No. 3, 449--481 (2016; Zbl 06833258) Full Text: DOI Link
Schmitt, Eric; Vakili, Kaveh The FastHCS algorithm for robust PCA. (English) Zbl 1505.62359 Stat. Comput. 26, No. 6, 1229-1242 (2016). MSC: 62-08 62H25 62F35 62H12 PDFBibTeX XMLCite \textit{E. Schmitt} and \textit{K. Vakili}, Stat. Comput. 26, No. 6, 1229--1242 (2016; Zbl 1505.62359) Full Text: DOI
Harris, Paul; Brunsdon, Chris; Charlton, Martin; Juggins, Steve; Clarke, Annemarie Multivariate spatial outlier detection using robust geographically weighted methods. (English) Zbl 1322.86010 Math. Geosci. 46, No. 1, 1-31 (2014). MSC: 86A32 62H11 62F35 62H30 PDFBibTeX XMLCite \textit{P. Harris} et al., Math. Geosci. 46, No. 1, 1--31 (2014; Zbl 1322.86010) Full Text: DOI Link
Lim, Yaeji; Park, Yeonjoo; Oh, Hee-Seok Robust principal component analysis via ES-algorithm. (English) Zbl 1295.62064 J. Korean Stat. Soc. 43, No. 1, 149-159 (2014). MSC: 62H25 62F35 PDFBibTeX XMLCite \textit{Y. Lim} et al., J. Korean Stat. Soc. 43, No. 1, 149--159 (2014; Zbl 1295.62064) Full Text: DOI
Todorov, Valentin; Filzmoser, Peter Comparing classical and robust sparse PCA. (English) Zbl 1341.62169 Kruse, Rudolf (ed.) et al., Synergies of soft computing and statistics for intelligent data analysis. Papers based on the presentations at the 6th international conference on soft methods and probability and statistics, SMPS, Konstanz, Germany, October 4–6, 2012. Berlin: Springer (ISBN 978-3-642-33041-4/pbk; 978-3-642-33042-1/ebook). Advances in Intelligent Systems and Computing 190, 283-291 (2013). MSC: 62H25 PDFBibTeX XMLCite \textit{V. Todorov} and \textit{P. Filzmoser}, Adv. Intell. Syst. Comput. 190, 283--291 (2013; Zbl 1341.62169) Full Text: DOI
Liang, Zhiyu; Lee, Yoonkyung Eigen-analysis of nonlinear PCA with polynomial kernels. (English) Zbl 1281.62149 Stat. Anal. Data Min. 6, No. 6, 529-544 (2013). MSC: 62H30 62H25 PDFBibTeX XMLCite \textit{Z. Liang} and \textit{Y. Lee}, Stat. Anal. Data Min. 6, No. 6, 529--544 (2013; Zbl 1281.62149) Full Text: DOI
Verdonck, Tim; Hubert, Mia; Rousseeuw, Peter J. DetMCD in a calibration framework. (English) Zbl 1436.62231 Lechevallier, Yves (ed.) et al., Proceedings of COMPSTAT’2010. 19th international conference on computational statistics, Paris, France, August 22–27, 2010. Keynote, invited and contributed papers. Heidelberg: Physica Verlag. 589-596 (2010). MSC: 62H25 62H12 62F35 62-08 PDFBibTeX XMLCite \textit{T. Verdonck} et al., in: Proceedings of COMPSTAT'2010. 19th international conference on computational statistics, Paris, France, August 22--27, 2010. Keynote, invited and contributed papers. Heidelberg: Physica Verlag. 589--596 (2010; Zbl 1436.62231) Full Text: DOI
van Aelst, Stefan; Vandervieren, Ellen; Willems, Gert Robust principal component analysis based on pairwise correlation estimators. (English) Zbl 1436.62230 Lechevallier, Yves (ed.) et al., Proceedings of COMPSTAT’2010. 19th international conference on computational statistics, Paris, France, August 22–27, 2010. Keynote, invited and contributed papers. Heidelberg: Physica Verlag. 573-580 (2010). MSC: 62H25 62-08 PDFBibTeX XMLCite \textit{S. van Aelst} et al., in: Proceedings of COMPSTAT'2010. 19th international conference on computational statistics, Paris, France, August 22--27, 2010. Keynote, invited and contributed papers. Heidelberg: Physica Verlag. 573--580 (2010; Zbl 1436.62230) Full Text: DOI
Debruyne, Michiel; Verdonck, Tim Robust kernel principal component analysis and classification. (English) Zbl 1284.62370 Adv. Data Anal. Classif., ADAC 4, No. 2-3, 151-167 (2010). MSC: 62H30 62G35 62H25 PDFBibTeX XMLCite \textit{M. Debruyne} and \textit{T. Verdonck}, Adv. Data Anal. Classif., ADAC 4, No. 2--3, 151--167 (2010; Zbl 1284.62370) Full Text: DOI
Serneels, Sven; Verdonck, Tim Principal component regression for data containing outliers and missing elements. (English) Zbl 1453.62193 Comput. Stat. Data Anal. 53, No. 11, 3855-3863 (2009). MSC: 62-08 62H25 62F35 62J05 62H12 PDFBibTeX XMLCite \textit{S. Serneels} and \textit{T. Verdonck}, Comput. Stat. Data Anal. 53, No. 11, 3855--3863 (2009; Zbl 1453.62193) Full Text: DOI
Chen, Tao; Martin, Elaine; Montague, Gary Robust probabilistic PCA with missing data and contribution analysis for outlier detection. (English) Zbl 1453.62067 Comput. Stat. Data Anal. 53, No. 10, 3706-3716 (2009). MSC: 62-08 62F35 62H25 PDFBibTeX XMLCite \textit{T. Chen} et al., Comput. Stat. Data Anal. 53, No. 10, 3706--3716 (2009; Zbl 1453.62067) Full Text: DOI Link
Hubert, Mia; Rousseeuw, Peter; Verdonck, Tim Robust PCA for skewed data and its outlier map. (English) Zbl 1453.62116 Comput. Stat. Data Anal. 53, No. 6, 2264-2274 (2009). MSC: 62-08 62H25 62F35 PDFBibTeX XMLCite \textit{M. Hubert} et al., Comput. Stat. Data Anal. 53, No. 6, 2264--2274 (2009; Zbl 1453.62116) Full Text: DOI
Hubert, Mia; Rousseeuw, Peter J.; Van Aelst, Stefan High-breakdown robust multivariate methods. (English) Zbl 1327.62328 Stat. Sci. 23, No. 1, 92-119 (2008). MSC: 62H05 62J05 PDFBibTeX XMLCite \textit{M. Hubert} et al., Stat. Sci. 23, No. 1, 92--119 (2008; Zbl 1327.62328) Full Text: DOI arXiv Euclid
Serneels, Sven; Verdonck, Tim Principal component analysis for data containing outliers and missing elements. (English) Zbl 1452.62419 Comput. Stat. Data Anal. 52, No. 3, 1712-1727 (2008). MSC: 62H25 62F35 62D10 62-08 PDFBibTeX XMLCite \textit{S. Serneels} and \textit{T. Verdonck}, Comput. Stat. Data Anal. 52, No. 3, 1712--1727 (2008; Zbl 1452.62419) Full Text: DOI Link
Filzmoser, Peter; Maronna, Ricardo; Werner, Mark Outlier identification in high dimensions. (English) Zbl 1452.62370 Comput. Stat. Data Anal. 52, No. 3, 1694-1711 (2008). MSC: 62H12 62F35 62H25 62-08 PDFBibTeX XMLCite \textit{P. Filzmoser} et al., Comput. Stat. Data Anal. 52, No. 3, 1694--1711 (2008; Zbl 1452.62370) Full Text: DOI
Tharrault, Yvon; Mourot, Gilles; Ragot, J.; Maquin, Didier Fault detection and isolation with robust principal component analysis. (English) Zbl 1156.93399 Int. J. Appl. Math. Comput. Sci. 18, No. 4, 429-442 (2008). MSC: 93E10 93B20 62H25 93A15 PDFBibTeX XMLCite \textit{Y. Tharrault} et al., Int. J. Appl. Math. Comput. Sci. 18, No. 4, 429--442 (2008; Zbl 1156.93399) Full Text: DOI EuDML
Hubert, Mia; Engelen, Sanne Fast cross-validation of high-breakdown resampling methods for PCA. (English) Zbl 1162.62374 Comput. Stat. Data Anal. 51, No. 10, 5013-5024 (2007). MSC: 62H25 62G35 65C60 PDFBibTeX XMLCite \textit{M. Hubert} and \textit{S. Engelen}, Comput. Stat. Data Anal. 51, No. 10, 5013--5024 (2007; Zbl 1162.62374) Full Text: DOI
Kondylis, Athanassios; Hadi, Ali S. Derived components regression using the BACON algorithm. (English) Zbl 1157.62427 Comput. Stat. Data Anal. 51, No. 2, 556-569 (2006). MSC: 62H25 65C60 PDFBibTeX XMLCite \textit{A. Kondylis} and \textit{A. S. Hadi}, Comput. Stat. Data Anal. 51, No. 2, 556--569 (2006; Zbl 1157.62427) Full Text: DOI
Zuo, Yijun Robust location and scatter estimators in multivariate analysis. (English) Zbl 1119.62051 Fan, Jiangqing (ed.) et al., Frontiers in statistics. Dedicated to Peter John Bickel on honor of his 65th birthday. Hackensack, NJ: World Scientific (ISBN 1-86094-670-4/hbk; 1-86094-698-4/pbk). 467-490 (2006). MSC: 62H12 62F35 62H25 PDFBibTeX XMLCite \textit{Y. Zuo}, in: Frontiers in statistics. Dedicated to Peter John Bickel on honor of his 65th birthday. Hackensack, NJ: World Scientific. 467--490 (2006; Zbl 1119.62051)
Engelen, S.; Hubert, M.; Vanden Branden, K.; Verboven, S. Robust PCR and robust PLSR: a comparative study. (English) Zbl 1088.62076 Hubert, Mia (ed.) et al., Theory and applications of recent robust methods. Selected papers of the international conference on robust statistics 2003, ICORS 2003, Antwerp, Belgium, July 13–18, 2003. Basel: Birkhäuser (ISBN 3-7643-7060-2/hbk). Statistics for Industry and Technology, 105-117 (2004). MSC: 62H25 92E99 62F35 PDFBibTeX XMLCite \textit{S. Engelen} et al., in: Theory and applications of recent robust methods. Selected papers of the international conference on robust statistics 2003, ICORS 2003, Antwerp, Belgium, July 13--18, 2003. Basel: Birkhäuser. 105--117 (2004; Zbl 1088.62076)
Verboven, Sabine; Hubert, Mia Robust principal components regression. (English) Zbl 1444.62025 Härdle, Wolfgang (ed.) et al., COMPSTAT. Proceedings in computational statistics. 15th symposium, Berlin, Germany, August 24–28, 2002. Heidelberg: Physica-Verlag. 515-520 (2002). MSC: 62-08 62J05 62H25 PDFBibTeX XMLCite \textit{S. Verboven} and \textit{M. Hubert}, in: COMPSTAT. Proceedings in computational statistics. 15th symposium, Berlin, Germany, August 24--28, 2002. Heidelberg: Physica-Verlag. 515--520 (2002; Zbl 1444.62025) Full Text: DOI