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L1-norm projection pursuit principal component analysis

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  • Choulakian, V.

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  • Choulakian, V., 2006. "L1-norm projection pursuit principal component analysis," Computational Statistics & Data Analysis, Elsevier, vol. 50(6), pages 1441-1451, March.
  • Handle: RePEc:eee:csdana:v:50:y:2006:i:6:p:1441-1451
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    References listed on IDEAS

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    1. Choulakian, Vartan, 2005. "Transposition invariant principal component analysis in L1 for long tailed data," Statistics & Probability Letters, Elsevier, vol. 71(1), pages 23-31, January.
    2. Galpin, Jacqueline S. & Hawkins, Douglas M., 1987. "Methods of L1 estimation of a covariance matrix," Computational Statistics & Data Analysis, Elsevier, vol. 5(4), pages 305-319, September.
    3. Li, Baibing & Martin, Elaine B. & Morris, A. Julian, 2002. "On principal component analysis in L1," Computational Statistics & Data Analysis, Elsevier, vol. 40(3), pages 471-474, September.
    4. Choulakian, V., 2001. "Robust Q-mode principal component analysis in L1," Computational Statistics & Data Analysis, Elsevier, vol. 37(2), pages 135-150, August.
    5. Choulakian, V. & Almhana, J., 2001. "An algorithm for nonmetric discriminant analysis," Computational Statistics & Data Analysis, Elsevier, vol. 35(3), pages 253-264, January.
    6. Heiser, Willem J., 1987. "Correspondence analysis with least absolute residuals," Computational Statistics & Data Analysis, Elsevier, vol. 5(4), pages 337-356, September.
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    Cited by:

    1. Brooks, J.P. & Dulá, J.H. & Boone, E.L., 2013. "A pure L1-norm principal component analysis," Computational Statistics & Data Analysis, Elsevier, vol. 61(C), pages 83-98.
    2. Vartan Choulakian, 2011. "Picture of all Solutions of Successive 2-Block Maxbet Problems," Psychometrika, Springer;The Psychometric Society, vol. 76(4), pages 550-563, October.
    3. Choulakian, V. & Allard, J. & Almhana, J., 2006. "Robust centroid method," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 737-746, November.
    4. Das, Subasish & Tawhidur Rahman, Md & Kabir, Nuzhat & Oviedo-Trespalacios, Oscar & Dey, Kakan & Mahmud Hossain, Md, 2023. "Do people act differently while using ridesharing services with children?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 171(C).
    5. Qi An & Shu-Cherng Fang & Tiantian Nie & Shan Jiang, 2018. "$$\ell _1$$ ℓ 1 -Norm Based Central Point Analysis for Asymmetric Radial Data," Annals of Data Science, Springer, vol. 5(3), pages 469-486, September.
    6. Ehtibar Dzhafarov & Hans Colonius, 2006. "Reconstructing Distances among Objects from Their Discriminability," Psychometrika, Springer;The Psychometric Society, vol. 71(2), pages 365-386, June.

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