[1] |
Hastie T, Tibshirani R, Friedman J H, et al. The Elements of Statistical Learning: Data Mining, Inference, and Prediction. 2nd ed. Berlin: Springer, 2009.
|
[2] |
Shao J, Wang Y, Deng X, et al. Sparse linear discriminant analysis by thresholding for high dimensional data. The Annals of Statistics, 2011, 39 (2): 1241–1265. doi: 10.1214/10-AOS870
|
[3] |
Bickel P, Levina E. Some theory of Fisher’s linear discriminant function, ‘naive Bayes’, and some alternatives when there are many more variables than observations. Bernoulli, 2004, 10 (6): 989–1010. doi: 10.3150/bj/1106314847
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[4] |
Dudoit S, Fridlyand J, Speed T P. Comparison of discrimination methods for the classification of tumors using gene expression data. Journal of the American Statistical Association, 2002, 97 (457): 77–87. doi: 10.1198/016214502753479248
|
[5] |
Friedman J H. Regularized discriminant analysis. Journal of the American Statistical Association, 1989, 84 (405): 165–175. doi: 10.1080/01621459.1989.10478752
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[6] |
Xu P, Brock G N, Parrish R S. Modified linear discriminant analysis approaches for classification of high-dimensional microarray data. Computational Statistics & Data Analysis, 2009, 53 (5): 1674–1687. doi: 10.1016/j.csda.2008.02.005
|
[7] |
Tibshirani R, Hastie T, Narasimhan B, et al. Diagnosis of multiple cancer types by shrunken centroids of gene expression. Proceedings of the National Academy of Sciences of the United States of America, 2002, 99 (10): 6567–6572. doi: 10.1073/pnas.082099299
|
[8] |
Guo Y, Hastie T, Tibshirani R. Regularized linear discriminant analysis and its application in microarrays. Biostatistics, 2007, 8 (1): 86–100. doi: 10.1093/biostatistics/kxj035
|
[9] |
Witten D M, Tibshirani R. Penalized classification using Fisher’s linear discriminant. Journal of the Royal Statistical Society:Series B (Statistical Methodology), 2011, 73 (5): 753–772. doi: 10.1111/j.1467-9868.2011.00783.x
|
[10] |
Zhu J, Wen C, Zhu J, et al. A polynomial algorithm for best-subset selection problem. Proceedings of the National Academy of Sciences of the United States of America, 2020, 117 (52): 33117–33123. doi: 10.1073/pnas.2014241117
|
[11] |
Krzanowski W, Jonathan P, McCarthy W, et al. Discriminant analysis with singular covariance matrices: Methods and applications to spectroscopic data. Journal of the Royal Statistical Society:Series C (Applied Statistics), 1995, 44 (1): 101–115. doi: 10.2307/2986198
|
[12] |
Tebbens J D, Schlesinger P. Improving implementation of linear discriminant analysis for the high dimension/small sample size problem. Computational Statistics & Data Analysis, 2007, 52 (1): 423–437. doi: 10.1016/j.csda.2007.02.001
|
[13] |
Ramaswamy S, Tamayo P, Rifkin R, et al. Multiclass cancer diagnosis using tumor gene expression signatures. Proceedings of the National Academy of Sciences of the United States of America, 2001, 98 (26): 15149–15154. doi: 10.1073/pnas.211566398
|
[14] |
Nakayama R, Nemoto T, Takahashi H, et al. Gene expression analysis of soft tissue sarcomas: Characterization and reclassification of malignant fibrous histiocytoma. Modern Pathology, 2007, 20 (7): 749–759. doi: 10.1038/modpathol.3800794
|
[15] |
Sun L, Hui A M, Su Q, et al. Neuronal and glioma-derived stem cell factor induces angiogenesis within the brain. Cancer Cell, 2006, 9 (4): 287–300. doi: 10.1016/j.ccr.2006.03.003
|
[1] |
Hastie T, Tibshirani R, Friedman J H, et al. The Elements of Statistical Learning: Data Mining, Inference, and Prediction. 2nd ed. Berlin: Springer, 2009.
|
[2] |
Shao J, Wang Y, Deng X, et al. Sparse linear discriminant analysis by thresholding for high dimensional data. The Annals of Statistics, 2011, 39 (2): 1241–1265. doi: 10.1214/10-AOS870
|
[3] |
Bickel P, Levina E. Some theory of Fisher’s linear discriminant function, ‘naive Bayes’, and some alternatives when there are many more variables than observations. Bernoulli, 2004, 10 (6): 989–1010. doi: 10.3150/bj/1106314847
|
[4] |
Dudoit S, Fridlyand J, Speed T P. Comparison of discrimination methods for the classification of tumors using gene expression data. Journal of the American Statistical Association, 2002, 97 (457): 77–87. doi: 10.1198/016214502753479248
|
[5] |
Friedman J H. Regularized discriminant analysis. Journal of the American Statistical Association, 1989, 84 (405): 165–175. doi: 10.1080/01621459.1989.10478752
|
[6] |
Xu P, Brock G N, Parrish R S. Modified linear discriminant analysis approaches for classification of high-dimensional microarray data. Computational Statistics & Data Analysis, 2009, 53 (5): 1674–1687. doi: 10.1016/j.csda.2008.02.005
|
[7] |
Tibshirani R, Hastie T, Narasimhan B, et al. Diagnosis of multiple cancer types by shrunken centroids of gene expression. Proceedings of the National Academy of Sciences of the United States of America, 2002, 99 (10): 6567–6572. doi: 10.1073/pnas.082099299
|
[8] |
Guo Y, Hastie T, Tibshirani R. Regularized linear discriminant analysis and its application in microarrays. Biostatistics, 2007, 8 (1): 86–100. doi: 10.1093/biostatistics/kxj035
|
[9] |
Witten D M, Tibshirani R. Penalized classification using Fisher’s linear discriminant. Journal of the Royal Statistical Society:Series B (Statistical Methodology), 2011, 73 (5): 753–772. doi: 10.1111/j.1467-9868.2011.00783.x
|
[10] |
Zhu J, Wen C, Zhu J, et al. A polynomial algorithm for best-subset selection problem. Proceedings of the National Academy of Sciences of the United States of America, 2020, 117 (52): 33117–33123. doi: 10.1073/pnas.2014241117
|
[11] |
Krzanowski W, Jonathan P, McCarthy W, et al. Discriminant analysis with singular covariance matrices: Methods and applications to spectroscopic data. Journal of the Royal Statistical Society:Series C (Applied Statistics), 1995, 44 (1): 101–115. doi: 10.2307/2986198
|
[12] |
Tebbens J D, Schlesinger P. Improving implementation of linear discriminant analysis for the high dimension/small sample size problem. Computational Statistics & Data Analysis, 2007, 52 (1): 423–437. doi: 10.1016/j.csda.2007.02.001
|
[13] |
Ramaswamy S, Tamayo P, Rifkin R, et al. Multiclass cancer diagnosis using tumor gene expression signatures. Proceedings of the National Academy of Sciences of the United States of America, 2001, 98 (26): 15149–15154. doi: 10.1073/pnas.211566398
|
[14] |
Nakayama R, Nemoto T, Takahashi H, et al. Gene expression analysis of soft tissue sarcomas: Characterization and reclassification of malignant fibrous histiocytoma. Modern Pathology, 2007, 20 (7): 749–759. doi: 10.1038/modpathol.3800794
|
[15] |
Sun L, Hui A M, Su Q, et al. Neuronal and glioma-derived stem cell factor induces angiogenesis within the brain. Cancer Cell, 2006, 9 (4): 287–300. doi: 10.1016/j.ccr.2006.03.003
|