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Journal of the American Statistical Association Volume 111, 2016 - Issue 513
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Theory and Methods

Ultrahigh-Dimensional Multiclass Linear Discriminant Analysis by Pairwise Sure Independence Screening

Rui Pan
,
Hansheng Wang
&
Runze Li
Pages 169-179 | Received 01 Oct 2012, Published online: 05 May 2016

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Mohammad Kazemi. (2024) Support vector machine in ultrahigh-dimensional feature space. Journal of Statistical Computation and Simulation 94:3, pages 517-535.
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Sarbojit Roy, Soham Sarkar, Subhajit Dutta & Anil K. Ghosh. (2023) On Exact Feature Screening in Ultrahigh-Dimensional Binary Classification. Journal of Computational and Graphical Statistics 0:0, pages 1-15.
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Xu Guo, Haojie Ren, Changliang Zou & Runze Li. (2023) Threshold Selection in Feature Screening for Error Rate Control. Journal of the American Statistical Association 118:543, pages 1773-1785.
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Xingxiang Li & Chen Xu. (2023) Feature Screening with Conditional Rank Utility for Big-Data Classification. Journal of the American Statistical Association 0:0, pages 1-11.
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Kaijie Xue, Jin Yang & Fang Yao. (2023) Optimal Linear Discriminant Analysis for High-Dimensional Functional Data. Journal of the American Statistical Association 0:0, pages 1-10.
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Xuening Zhu, Rui Pan, Shuyuan Wu & Hansheng Wang. (2022) Feature Screening for Massive Data Analysis by Subsampling. Journal of Business & Economic Statistics 40:4, pages 1892-1903.
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Wanjun Liu, Yuan Ke, Jingyuan Liu & Runze Li. (2022) Model-Free Feature Screening and FDR Control With Knockoff Features. Journal of the American Statistical Association 117:537, pages 428-443.
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Lei Huo, Xuerong Meggie Wen & Zhou Yu. (2020) A model-free conditional screening approach via sufficient dimension reduction. Journal of Nonparametric Statistics 32:4, pages 970-988.
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Jinhan Xie, Yuanyuan Lin, Xiaodong Yan & Niansheng Tang. (2020) Category-Adaptive Variable Screening for Ultra-High Dimensional Heterogeneous Categorical Data. Journal of the American Statistical Association 115:530, pages 747-760.
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Yuqing Pan, Qing Mai & Xin Zhang. (2019) Covariate-Adjusted Tensor Classification in High Dimensions. Journal of the American Statistical Association 114:527, pages 1305-1319.
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Aaron J. Molstad & Adam J. Rothman. (2019) A Penalized Likelihood Method for Classification With Matrix-Valued Predictors. Journal of Computational and Graphical Statistics 28:1, pages 11-22.
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Fengli Song, Peng Lai, Baohua Shen & Guosheng Cheng. (2018) Variance ratio screening for ultrahigh dimensional discriminant analysis. Communications in Statistics - Theory and Methods 47:24, pages 6034-6051.
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Lyu Ni & Fang Fang. (2016) Entropy-based model-free feature screening for ultrahigh-dimensional multiclass classification. Journal of Nonparametric Statistics 28:3, pages 515-530.
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Ping Wang & Lu Lin. (2022) Conditional characteristic feature screening for massive imbalanced data. Statistical Papers 64:3, pages 807-834.
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Shuaishuai Chen & Jun Lu. (2023) Quantile-Composited Feature Screening for Ultrahigh-Dimensional Data. Mathematics 11:10, pages 2398.
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Xuewei Cheng & Hong Wang. (2023) A generic model-free feature screening procedure for ultra-high dimensional data with categorical response. Computer Methods and Programs in Biomedicine 229, pages 107269.
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Peng Lai, Mingyue Wang, Fengli Song & Yanqiu Zhou. (2023) Feature screening for ultrahigh-dimensional binary classification via linear projection. AIMS Mathematics 8:6, pages 14270-14287.
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Xuewei Cheng, Sizheng Wang, Yi Zou, Badamasi Abba & Hong Wang. (2023) Deep survival forests with feature screening. Biomedical Signal Processing and Control 79, pages 104195.
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Panxu Yuan, Sanying Feng & Gaorong Li. (2022) Revisiting feature selection for linear models with FDR and power guarantees. Journal of the Korean Statistical Society 51:4, pages 1132-1160.
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Shengbin Zhou, Tao Wang & Yejin Huang. (2022) Feature Screening via Mutual Information Learning Based on Nonparametric Density Estimation. Journal of Mathematics 2022, pages 1-11.
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Arezou Mojiri, Abbas Khalili & Ali Zeinal Hamadani. (2022) New hard-thresholding rules based on data splitting in high-dimensional imbalanced classification. Electronic Journal of Statistics 16:1.
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Chaohui Guo, Jing Lv & Jibo Wu. (2021) Composite quantile regression for ultra-high dimensional semiparametric model averaging. Computational Statistics & Data Analysis 160, pages 107231.
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Jun Lu, Lu Lin & WenWu Wang. (2021) Partition-based feature screening for categorical data via RKHS embeddings. Computational Statistics & Data Analysis 157, pages 107176.
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Yuexiao Dong, Zhou Yu & Liping Zhu. (2020) Model-free variable selection for conditional mean in regression. Computational Statistics & Data Analysis 152, pages 107042.
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Fengli Song, Peng Lai & Baohua Shen. (2020) Robust composite weighted quantile screening for ultrahigh dimensional discriminant analysis. Metrika 83:7, pages 799-820.
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Shan Luo & Zehua Chen. (2020) A procedure of linear discrimination analysis with detected sparsity structure for high-dimensional multi-class classification. Journal of Multivariate Analysis 179, pages 104641.
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Ying Sheng & Qihua Wang. (2020) Model-free feature screening for ultrahigh dimensional classification. Journal of Multivariate Analysis 178, pages 104618.
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Weichang Yu, John T. Ormerod & Michael Stewart. (2020) Variational discriminant analysis with variable selection. Statistics and Computing 30:4, pages 933-951.
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John J Dziak, Donna L Coffman, Stephanie T Lanza, Runze Li & Lars S Jermiin. (2020) Sensitivity and specificity of information criteria. Briefings in Bioinformatics 21:2, pages 553-565.
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Lei Wang, Xuejun Ma & Jingxiao Zhang. (2020) Feature screening for ultrahigh-dimensional additive logistic models. Journal of Statistical Planning and Inference 205, pages 306-317.
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Ying Sheng & Qihua Wang. (2020) Conditional probability estimation based classification with class label missing at random. Journal of Multivariate Analysis 176, pages 104566.
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Xiaoxia Li, Niansheng Tang, Jinhan Xie & Xiaodong Yan. (2020) A nonparametric feature screening method for ultrahigh-dimensional missing response. Computational Statistics & Data Analysis 142, pages 106828.
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Lyu Ni, Fang Fang & Jun Shao. (2020) Feature screening for ultrahigh dimensional categorical data with covariates missing at random. Computational Statistics & Data Analysis 142, pages 106824.
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Jinhan Xie, Meiling Hao, Wenxin Liu & Yuanyuan Lin. (2020) Fused variable screening for massive imbalanced data. Computational Statistics & Data Analysis 141, pages 94-108.
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Yanming Li, Hyokyoung G. Hong & Yi Li. (2019) Multiclass Linear Discriminant Analysis With Ultrahigh-Dimensional Features. Biometrics 75:4, pages 1086-1097.
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Felix Abramovich & Marianna Pensky. (2019) Classification with many classes: Challenges and pluses. Journal of Multivariate Analysis 174, pages 104536.
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Shengmei He, Shuangge Ma & Wangli Xu. (2019) A modified mean-variance feature-screening procedure for ultrahigh-dimensional discriminant analysis. Computational Statistics & Data Analysis 137, pages 155-169.
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Ying Sheng & Qihua Wang. (2019) Simultaneous variable selection and class fusion with penalized distance criterion based classifiers. Computational Statistics & Data Analysis 133, pages 138-152.
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Guang‐Hui Fu, Lun‐Zhao Yi & Jianxin Pan. (2018) Tuning model parameters in class‐imbalanced learning with precision‐recall curve. Biometrical Journal 61:3, pages 652-664.
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Kai Xu & Xudong Huang. (2018) Conditional-quantile screening for ultrahigh-dimensional survival data via martingale difference correlation. Science China Mathematics 61:10, pages 1907-1922.
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Wei Cai, Guoyu Guan, Rui Pan, Xuening Zhu & Hansheng Wang. (2018) Network linear discriminant analysis. Computational Statistics & Data Analysis 117, pages 32-44.
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Guang-Hui Fu, Feng Xu, Bing-Yang Zhang & Lun-Zhao Yi. (2017) Stable variable selection of class-imbalanced data with precision-recall criterion. Chemometrics and Intelligent Laboratory Systems 171, pages 241-250.
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Lyu Ni, Fang Fang & Fangjiao Wan. (2017) Adjusted Pearson Chi-Square feature screening for multi-classification with ultrahigh dimensional data. Metrika 80:6-8, pages 805-828.
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Cheng xuewei, Wang Sizheng, Zou Yi, Abba Badamasi & Wang Hong. (2021) Deep Survival Forests with Feature Screening. SSRN Electronic Journal.
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