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On L1-Norm Multiclass Support Vector Machines: Methodology and Theory

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  • Wang, Lifeng
  • Shen, Xiaotong

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  • Wang, Lifeng & Shen, Xiaotong, 2007. "On L1-Norm Multiclass Support Vector Machines: Methodology and Theory," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 583-594, June.
  • Handle: RePEc:bes:jnlasa:v:102:y:2007:m:june:p:583-594
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    Cited by:

    1. Fang Yao & Yichao Wu & Jialin Zou, 2016. "Probability-enhanced effective dimension reduction for classifying sparse functional data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-22, March.
    2. Fan, Yiwei & Zhao, Junlong, 2022. "Safe sample screening rules for multicategory angle-based support vector machines," Computational Statistics & Data Analysis, Elsevier, vol. 173(C).
    3. Fang Yao & Yichao Wu & Jialin Zou, 2016. "Probability-enhanced effective dimension reduction for classifying sparse functional data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-22, March.
    4. Ling Peng & Xiaohui Liu & Xiangyong Tan & Yiweng Zhou & Shihua Luo, 2024. "The statistical rate for support matrix machines under low rankness and row (column) sparsity," Statistical Papers, Springer, vol. 65(7), pages 4567-4598, September.
    5. Wu, Tong Tong & He, Xin, 2012. "Coordinate ascent for penalized semiparametric regression on high-dimensional panel count data," Computational Statistics & Data Analysis, Elsevier, vol. 56(1), pages 25-33, January.
    6. Jianqing Fan & Jinchi Lv, 2008. "Sure independence screening for ultrahigh dimensional feature space," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(5), pages 849-911, November.
    7. Luis M. Briceño-Arias & Giovanni Chierchia & Emilie Chouzenoux & Jean-Christophe Pesquet, 2019. "A random block-coordinate Douglas–Rachford splitting method with low computational complexity for binary logistic regression," Computational Optimization and Applications, Springer, vol. 72(3), pages 707-726, April.
    8. Benítez-Peña, Sandra & Blanquero, Rafael & Carrizosa, Emilio & Ramírez-Cobo, Pepa, 2024. "Cost-sensitive probabilistic predictions for support vector machines," European Journal of Operational Research, Elsevier, vol. 314(1), pages 268-279.
    9. Tang, Shijie & Chen, Lisha & Tsui, Kam-Wah & Doksum, Kjell, 2014. "Nonparametric variable selection and classification: The CATCH algorithm," Computational Statistics & Data Analysis, Elsevier, vol. 72(C), pages 158-175.

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