{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T14:27:58Z","timestamp":1762352878096,"version":"3.37.3"},"reference-count":74,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2020,2,19]],"date-time":"2020-02-19T00:00:00Z","timestamp":1582070400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,2,19]],"date-time":"2020-02-19T00:00:00Z","timestamp":1582070400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stat Comput"],"published-print":{"date-parts":[[2020,7]]},"DOI":"10.1007\/s11222-020-09928-8","type":"journal-article","created":{"date-parts":[[2020,2,19]],"date-time":"2020-02-19T13:06:19Z","timestamp":1582117579000},"page":"933-951","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Variational discriminant analysis with variable selection"],"prefix":"10.1007","volume":"30","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0399-3779","authenticated-orcid":false,"given":"Weichang","family":"Yu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"John T.","family":"Ormerod","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael","family":"Stewart","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,2,19]]},"reference":[{"issue":"1","key":"9928_CR1","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1214\/09-AOAS277","volume":"4","author":"M Ahdesm\u00e4ki","year":"2010","unstructured":"Ahdesm\u00e4ki, M., Strimmer, K.: Feature selection in omics prediction problems using CAT score and false discovery rate control. Ann. Appl. Stat. 4(1), 503\u2013519 (2010)","journal-title":"Ann. Appl. Stat."},{"key":"9928_CR2","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1038\/35000501","volume":"403","author":"A Alizadeh","year":"2000","unstructured":"Alizadeh, A., Eisen, M., Davis, R., Ma, C., Lossos, I., Rosenwald, A., Boldrick, J., Sabet, H., Tran, T., Yu, X., Powell, J., Yang, L., Marti, G., Moore, T., Hudson, J.J., Lu, L., Lewis, D., Tibshirani, R., Sherlock, G., Chan, W., Greiner, T., Weisenburger, D., Armitage, J., Warnke, R., Levy, R., Wilson, W., Grever, M., Byrd, J., Botstein, D., Brown, P., Staudt, L.: Distinct types of diffuse large b-cell lymphoma identified by gene expression profiling. Nature 403, 503\u2013511 (2000)","journal-title":"Nature"},{"issue":"12","key":"9928_CR3","doi-asserted-by":"crossref","first-page":"6745","DOI":"10.1073\/pnas.96.12.6745","volume":"96","author":"U Alon","year":"1999","unstructured":"Alon, U., Barkai, N., Notterman, D., Gish, K., Ybarra, S., Mack, D., AJ, L.: Broad patterns of gene expression revealed by clustering analysis of tumor and normal colon tissues probed by oligonucleotide arrays. Proc. Natl. Acad. Sci. 96(12), 6745\u20136750 (1999)","journal-title":"Proc. Natl. Acad. Sci."},{"issue":"4","key":"9928_CR4","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.1214\/aos\/1013699998","volume":"29","author":"Y Benjamini","year":"2001","unstructured":"Benjamini, Y., Daniel, Y.: The control of the false discovery rate in multiple testing under dependency. Ann. Stat. 29(4), 1165\u20131188 (2001)","journal-title":"Ann. Stat."},{"issue":"1","key":"9928_CR5","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1111\/j.2517-6161.1995.tb02031.x","volume":"57","author":"Y Benjamini","year":"1995","unstructured":"Benjamini, Y., Hochberg, Y.: Controlling the false discovery rate: a practical and powerful approach to multiple testing. J. R. Stat. Soc. Ser. B 57(1), 289\u2013300 (1995)","journal-title":"J. R. Stat. Soc. Ser. B"},{"issue":"6","key":"9928_CR6","doi-asserted-by":"crossref","first-page":"989","DOI":"10.3150\/bj\/1106314847","volume":"10","author":"PJ Bickel","year":"2004","unstructured":"Bickel, P.J., Levina, E.: Some theory for Fisher\u2019s linear discriminant function, \u2018Na\u00efve Bayes\u2019 and some alternatives when there are many more variables than observations. Bernoulli 10(6), 989\u20131010 (2004)","journal-title":"Bernoulli"},{"issue":"1","key":"9928_CR7","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1214\/06-BA104","volume":"1","author":"DM Blei","year":"2006","unstructured":"Blei, D.M., Jordan, M.I.: Variational inference for Dirichlet processes. Bayesian Anal. 1(1), 121\u2013144 (2006)","journal-title":"Bayesian Anal."},{"issue":"518","key":"9928_CR8","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1080\/01621459.2017.1285773","volume":"112","author":"DM Blei","year":"2017","unstructured":"Blei, D.M., Kucukelbir, A., McAuliffe, J.D.: Variational inference: a review for statisticians. J. Am. Stat. Assoc. 112(518), 859\u2013877 (2017)","journal-title":"J. Am. Stat. Assoc."},{"key":"9928_CR9","unstructured":"Bonferroni, C.E.: Teoria statistica delle classi e calcolo delle probabilit\u00e0. Pubblicazioni del R Istituto Superiore di Scienze Economiche e Commerciali di Firenze (1936)"},{"issue":"1","key":"9928_CR10","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1023\/A:1010933404324","volume":"45","author":"L Breiman","year":"2001","unstructured":"Breiman, L.: Random forests. Mach. Learn. 45(1), 5\u201332 (2001)","journal-title":"Mach. Learn."},{"issue":"496","key":"9928_CR11","doi-asserted-by":"crossref","first-page":"1566","DOI":"10.1198\/jasa.2011.tm11199","volume":"106","author":"T Cai","year":"2011","unstructured":"Cai, T., Liu, W.: A direct estimation approach to sparse linear discriminant analysis. J. Am. Stat. Assoc. 106(496), 1566\u20131577 (2011)","journal-title":"J. Am. Stat. Assoc."},{"issue":"2","key":"9928_CR12","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1093\/biomet\/asq017","volume":"97","author":"CM Carvalho","year":"2010","unstructured":"Carvalho, C.M., Polson, N.G., Scott, J.G.: The horseshoe estimator for sparse signals. Biometrika 97(2), 465\u2013480 (2010)","journal-title":"Biometrika"},{"issue":"2","key":"9928_CR13","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1061\/(ASCE)CP.1943-5487.0000266","volume":"28","author":"Y Chen","year":"2014","unstructured":"Chen, Y., Feng, J.: Efficient method for Moore\u2013Penrose inverse problems involving symmetric structure based on group theory. J. Comput. Civ. Eng. 28(2), 182\u2013190 (2014)","journal-title":"J. Comput. Civ. Eng."},{"issue":"35","key":"9928_CR14","first-page":"1","volume":"10","author":"D Chicco","year":"2017","unstructured":"Chicco, D.: Ten quick tips for machine learning in computational biology. BioData Min. 10(35), 1\u201317 (2017)","journal-title":"BioData Min."},{"key":"9928_CR15","unstructured":"Clemmensen, L.: On Discriminant Analysis Techniques and Correlation Structures in High Dimensions. Technical report-2013(4). Technical University of Denmark (DTU), Kgs. Lyngby (2013)"},{"key":"9928_CR16","unstructured":"Clemmensen, L., Kuhn, M.: sparseLDA: Sparse Discriminant Analysis. R package version 0.1-9 (2016)"},{"issue":"4","key":"9928_CR17","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1198\/TECH.2011.08118","volume":"53","author":"L Clemmensen","year":"2011","unstructured":"Clemmensen, L., Witten, D., Hastie, T., Ersboll, B.: Sparse discriminant analysis. Technometrics 53(4), 406\u2013413 (2011)","journal-title":"Technometrics"},{"issue":"3","key":"9928_CR18","first-page":"273","volume":"20","author":"C Cortes","year":"1995","unstructured":"Cortes, C., Vapnik, V.: Support-vector networks. Mach. Learn. 20(3), 273\u2013297 (1995)","journal-title":"Mach. Learn."},{"issue":"2","key":"9928_CR19","first-page":"25","volume":"8","author":"P Courrieu","year":"2005","unstructured":"Courrieu, P.: Fast computation of Moore\u2013Penrose inverse matrices. Neural Inf. Process. Lett. Rev. 8(2), 25\u201329 (2005)","journal-title":"Neural Inf. Process. Lett. Rev."},{"key":"9928_CR20","doi-asserted-by":"crossref","first-page":"e18850","DOI":"10.1371\/journal.pone.0018850","volume":"6","author":"R Craig-Shapiro","year":"2011","unstructured":"Craig-Shapiro, R., Kuhn, M., Xiong, C., Pickering, E.H., Liu, J., Misko, T.P., Perrin, R.J., Bales, K.R., Soares, H., Fagan, A.M., David, M.H.: Multiplexed immunoassay panel identifies novel CSF biomarkers for Alzheimer\u2019s disease diagnosis and prognosis. PLoS ONE 6, e18850 (2011)","journal-title":"PLoS ONE"},{"issue":"3","key":"9928_CR21","doi-asserted-by":"crossref","first-page":"962","DOI":"10.1214\/009053604000000265","volume":"32","author":"D Donoho","year":"2004","unstructured":"Donoho, D., Jin, J.: Higher criticism for detecting sparse heterogeneous mixtures. Ann. Stat. 32(3), 962\u2013994 (2004)","journal-title":"Ann. Stat."},{"issue":"39","key":"9928_CR22","doi-asserted-by":"crossref","first-page":"14790","DOI":"10.1073\/pnas.0807471105","volume":"105","author":"D Donoho","year":"2008","unstructured":"Donoho, D., Jin, J.: Higher criticism thresholding. optimal feature selection when useful features are rare and weak. Proc. Natl. Acad. Sci. 105(39), 14790\u201314795 (2008)","journal-title":"Proc. Natl. Acad. Sci."},{"issue":"11","key":"9928_CR23","doi-asserted-by":"crossref","first-page":"2975","DOI":"10.1016\/j.csda.2011.05.002","volume":"55","author":"PA Duarte Silva","year":"2011","unstructured":"Duarte Silva, P.A.: Two group classification with high-dimensional correlated data: a factor model approach. Comput. Stat. Data Anal. 55(11), 2975\u20132990 (2011)","journal-title":"Comput. Stat. Data Anal."},{"key":"9928_CR24","unstructured":"Duarte\u00a0Silva, P.A.: HiDimDA: High Dimensional Discriminant Analysis. R package version 0.2-4 (2015)"},{"issue":"457","key":"9928_CR25","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1198\/016214502753479248","volume":"97","author":"S Dudoit","year":"2002","unstructured":"Dudoit, S., Fridyland, J., Speed, T.P.: Comparison of discrimination methods for classification of tumours using gene expression data. J. Am. Stat. Assoc. 97(457), 77\u201387 (2002)","journal-title":"J. Am. Stat. Assoc."},{"key":"9928_CR26","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4614-6868-4","volume-title":"Seamless R and C++ Integration with Rcpp","author":"D Eddelbuettel","year":"2013","unstructured":"Eddelbuettel, D.: Seamless R and C++ Integration with Rcpp. Springer, Berlin (2013)"},{"key":"9928_CR27","unstructured":"Erickson, B.J., Kirk, S., Lee, Y., Bathe, O., Kearns, M., Gerdes, C., Rieger-Christ, K., Lemmerman, J.: Radiology data from The Cancer Genome Atlas Liver Hepatocellular Carcinoma [TCGA-LIHC] collection. The Cancer Imaging Archive (2016). http:\/\/doi.org\/10.7937\/K9\/TCIA.2016.IMMQW8UQ"},{"issue":"6","key":"9928_CR28","doi-asserted-by":"crossref","first-page":"2605","DOI":"10.1214\/07-AOS504","volume":"36","author":"J Fan","year":"2008","unstructured":"Fan, J., Fan, Y.: High-dimensional classification using features annealed independence rules. Ann. Stat. 36(6), 2605\u20132637 (2008)","journal-title":"Ann. Stat."},{"issue":"1","key":"9928_CR29","first-page":"101","volume":"20","author":"J Fan","year":"2010","unstructured":"Fan, J., Lv, J.: A selective overview of variable selection in high dimensional feature space. Stat. Sin. 20(1), 101\u2013148 (2010)","journal-title":"Stat. Sin."},{"key":"9928_CR30","first-page":"3133","volume":"15","author":"M Fern\u00e1ndez-Delgado","year":"2014","unstructured":"Fern\u00e1ndez-Delgado, M., Cernadas, E., Barro, S.: Do we need hundreds of classifiers to solve real world classification problems? J. Mach. Learn. 15, 3133\u20133181 (2014)","journal-title":"J. Mach. Learn."},{"issue":"2","key":"9928_CR31","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1111\/j.1469-1809.1936.tb02137.x","volume":"7","author":"RA Fisher","year":"1936","unstructured":"Fisher, R.A.: The use of multiple measurements in taxonomic problems. Ann. Eugen. 7(2), 179\u2013188 (1936)","journal-title":"Ann. Eugen."},{"issue":"1","key":"9928_CR32","doi-asserted-by":"crossref","first-page":"1909","DOI":"10.1016\/j.csda.2010.12.006","volume":"55","author":"T Fisher","year":"2011","unstructured":"Fisher, T., Sun, X.: Improved stein-type shrinkage estimators for the high-dimensional multivariate normal covariance matrix. Comput. Stat. Data Anal. 55(1), 1909\u20131918 (2011)","journal-title":"Comput. Stat. Data Anal."},{"issue":"405","key":"9928_CR33","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1080\/01621459.1989.10478752","volume":"84","author":"JH Friedman","year":"1989","unstructured":"Friedman, J.H.: Regularized discriminant analysis. J. Am. Stat. Assoc. 84(405), 165\u2013175 (1989)","journal-title":"J. Am. Stat. Assoc."},{"issue":"488","key":"9928_CR34","doi-asserted-by":"crossref","first-page":"1406","DOI":"10.1198\/jasa.2009.tm08332","volume":"104","author":"C Friguet","year":"2009","unstructured":"Friguet, C., Kloareg, M., Causeur, D.: A factor model approach to multiple testing under dependence. J. Am. Stat. Assoc. 104(488), 1406\u20131415 (2009)","journal-title":"J. Am. Stat. Assoc."},{"key":"9928_CR35","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/j.bdr.2017.07.003","volume":"9","author":"R Genuer","year":"2017","unstructured":"Genuer, R., Poggi, J., Tuleau-Malot, C., Villa-Vialaneix, N.: Random forests for big data. Big Data Res. 9, 28\u201346 (2017)","journal-title":"Big Data Res."},{"issue":"5439","key":"9928_CR36","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1126\/science.286.5439.531","volume":"286","author":"T Golub","year":"1999","unstructured":"Golub, T., Slonim, D., Tamayo, P., Huard, C., Gaasenbeek, M., Mesirov, J.: Molecular classification of cancer: class discovery and class prediction by gene expression monitoring. Science 286(5439), 531\u2013537 (1999)","journal-title":"Science"},{"issue":"1","key":"9928_CR37","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1093\/biostatistics\/kxj035","volume":"8","author":"Y Guo","year":"2007","unstructured":"Guo, Y., Hastie, T., Tibshirani, R.: Regularized linear discriminant analysis and its application in microarrays. Biostatistics 8(1), 86\u2013100 (2007)","journal-title":"Biostatistics"},{"key":"9928_CR38","unstructured":"Guo, Y., Hastie, T., Tibshirani, R.: RDA: Shrunken Centroids Regularized Discriminant Analysis. R package version 1.0.2-2.1 (2018)"},{"key":"9928_CR39","unstructured":"Hastie, T., Tibshirani, R., Narasimhan, B., Chu, G.: PAMR: Prediction Analysis for Microarrays. R package version 1.55 (2014)"},{"key":"9928_CR40","unstructured":"Helleputte, T.: LiblineaR: Linear Predictive Models Based on the LIBLINEAR C\/C++ Library. R package version 2.10-8 (2017)"},{"issue":"4","key":"9928_CR41","doi-asserted-by":"crossref","first-page":"1378","DOI":"10.3150\/12-BEJSP17","volume":"19","author":"MI Jordan","year":"2013","unstructured":"Jordan, M.I.: On statistics, computation and scalability. Bernoulli 19(4), 1378\u20131390 (2013)","journal-title":"Bernoulli"},{"issue":"24","key":"9928_CR42","doi-asserted-by":"crossref","first-page":"8061","DOI":"10.1158\/1078-0432.CCR-08-1431","volume":"14","author":"RN Jorissen","year":"2008","unstructured":"Jorissen, R.N., Lipton, L., Gibbs, P., Chapman, M., Desai, J., Jones, I.T., Yeatman, T.J., East, P., Tomlinson, I.P., Verspaget, H.W., Aaltonen, L.A., Kruhoffer, M., Orntoft, T.F., Andersen, C.L., Sieber, O.M.: DNA copy-number alterations underlie gene expression differences between microsatellite stable and unstable colorectal cancers. Clin. Cancer Res. 14(24), 8061\u20138069 (2008)","journal-title":"Clin. Cancer Res."},{"key":"9928_CR43","unstructured":"Kuhn, M., Wing, J., Weston, S., Williams, A., Keefer, C., Engelhardt, A., Cooper, T., Mayer, Z., Kenkel, B., Benesty, M., Lescarbeau, R., Ziem, A., Scrucca, L., Tang, Y., Candan, C., Hunt, T.: Caret: Classification and Regression Training. R package version 6.0-84 (2019)"},{"key":"9928_CR44","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1023\/A:1007608224229","volume":"40","author":"TS Lim","year":"2000","unstructured":"Lim, T.S., Loh, W.Y., Shih, Y.S.: A comparison of prediction accuracy, complexity, and training time of thirty-three old and new classification algorithms. Mach. Learn. 40, 203\u2013229 (2000)","journal-title":"Mach. Learn."},{"issue":"11","key":"9928_CR45","doi-asserted-by":"crossref","first-page":"2691","DOI":"10.1093\/bioinformatics\/bti419","volume":"21","author":"JJ Liu","year":"2005","unstructured":"Liu, J.J., Cutler, G., Li, W., Pan, Z., Peng, S., Hoey, T., Chen, L., Ling, X.B.: Multiclass cancer classification and biomarker discovery using GA-based algorithms. Bioinformatics 21(11), 2691\u20132697 (2005)","journal-title":"Bioinformatics"},{"key":"9928_CR46","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/j.csda.2013.10.030","volume":"73","author":"J Luts","year":"2014","unstructured":"Luts, J., Ormerod, J.T.: Mean field variational Bayesian inference for support vector machine classification. Comput. Stat. Data Anal. 73, 163\u2013176 (2014)","journal-title":"Comput. Stat. Data Anal."},{"issue":"1","key":"9928_CR47","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1093\/biomet\/asr066","volume":"99","author":"Q Mai","year":"2012","unstructured":"Mai, Q., Zou, H., Yuan, M.: A direct approach to sparse discriminant analysis in ultra-high dimensions. Biometrika 99(1), 29\u201342 (2012)","journal-title":"Biometrika"},{"key":"9928_CR48","unstructured":"Mai, Q., Yang, Y., Zou, H.: Multiclass sparse discriminant analysis. arXiv (2015)"},{"issue":"346","key":"9928_CR49","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1080\/01621459.1974.10482992","volume":"69","author":"S Marks","year":"1974","unstructured":"Marks, S., Dunn, O.: Discriminant functions when covariance matrices are unequal. J. Am. Stat. Assoc. 69(346), 555\u2013559 (1974)","journal-title":"J. Am. Stat. Assoc."},{"issue":"2","key":"9928_CR50","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1016\/0005-2795(75)90109-9","volume":"405","author":"BW Matthews","year":"1975","unstructured":"Matthews, B.W.: Comparison of the predicted and observed secondary structure of T4 phage lysozyme. Biochim. Biophys. Acta (BBA) Protein Struct. 405(2), 442\u2013451 (1975)","journal-title":"Biochim. Biophys. Acta (BBA) Protein Struct."},{"issue":"2","key":"9928_CR51","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1198\/tast.2010.09058","volume":"64","author":"JT Ormerod","year":"2010","unstructured":"Ormerod, J.T., Wand, M.P.: Explaining variational approximations. Am. Stat. 64(2), 140\u2013153 (2010)","journal-title":"Am. Stat."},{"key":"9928_CR52","unstructured":"Ormerod, J.T., Stewart, M., Yu, W., Romanes, S.: Bayesian hypothesis test with diffused priors: Can we have our cake and eat it too? arXiv (2017)"},{"issue":"513","key":"9928_CR53","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1080\/01621459.2014.998760","volume":"111","author":"R Pan","year":"2016","unstructured":"Pan, R., Wang, H.O., Li, R.: Ultrahigh-dimensional multiclass linear discriminant analysis by pairwise sure independence screening. J. Am. Stat. Assoc. 111(513), 169\u2013179 (2016)","journal-title":"J. Am. Stat. Assoc."},{"issue":"4","key":"9928_CR54","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1007\/s11222-015-9569-2","volume":"26","author":"E Perthame","year":"2016","unstructured":"Perthame, E., Friguet, C., Causeur, D.: Stability of feature selection in classification issues for high-dimensional correlated data. Stat. Comput. 26(4), 783\u2013796 (2016)","journal-title":"Stat. Comput."},{"key":"9928_CR55","unstructured":"Perthame, E., Friguet, C., Causeur, D.: FADA: Variable Selection for Supervised Classification in High Dimension. R package version 1.3.3 (2018)"},{"key":"9928_CR56","first-page":"260","volume":"KI2011","author":"M Reif","year":"2011","unstructured":"Reif, M., Shafait, F., Dengel, A.: Prediction of classifier training time including parameter optimization. Annu. Conf. Artif. Intell. KI2011, 260\u2013271 (2011)","journal-title":"Annu. Conf. Artif. Intell."},{"key":"9928_CR57","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/j.csda.2016.01.011","volume":"99","author":"SE Safo","year":"2016","unstructured":"Safo, S.E., Ahn, J.: General sparse multi-class linear discriminant analysis. Comput. Stat. Data Anal. 99, 81\u201390 (2016)","journal-title":"Comput. Stat. Data Anal."},{"key":"9928_CR58","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1146\/annurev.ps.46.020195.003021","volume":"46","author":"JP Shaffer","year":"1995","unstructured":"Shaffer, J.P.: Multiple hypothesis testing. Annu. Rev. Psychol. 46, 561\u2013584 (1995)","journal-title":"Annu. Rev. Psychol."},{"issue":"2","key":"9928_CR59","doi-asserted-by":"crossref","first-page":"1241","DOI":"10.1214\/10-AOS870","volume":"39","author":"J Shao","year":"2011","unstructured":"Shao, J., Wang, Y., Deng, X., Wang, S.: Sparse linear discriminant analysis with applications to high dimensional data. Ann. Stat. 39(2), 1241\u20131265 (2011)","journal-title":"Ann. Stat."},{"issue":"2","key":"9928_CR60","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/S1535-6108(02)00030-2","volume":"1","author":"D Singh","year":"2002","unstructured":"Singh, D., Febbo, P., Ross, K., Jackson, D., Manola, J., Ladd, C., Tamayo, P., Renshaw, A., DAmico, A., Richie, J., Lander, E., Loda, M., Kantoff, P., Golub, T.: Gene expression correlates of clinical prostate cancer behavior. Cancer Cell 1(2), 203\u2013209 (2002)","journal-title":"Cancer Cell"},{"issue":"Jun","key":"9928_CR61","first-page":"1277","volume":"8","author":"S Srivastava","year":"2007","unstructured":"Srivastava, S., Gupta, M.R., Frigyik, B.A.: Bayesian quadratic discriminant analysis. J. Mach. Learn. Res. 8(Jun), 1277\u20131305 (2007)","journal-title":"J. Mach. Learn. Res."},{"issue":"6","key":"9928_CR62","doi-asserted-by":"crossref","first-page":"2013","DOI":"10.1214\/aos\/1074290335","volume":"31","author":"JD Storey","year":"2003","unstructured":"Storey, J.D.: The positive false discovery rate: a Bayesian interpretation and the q-value. Ann. Stat. 31(6), 2013\u20132035 (2003)","journal-title":"Ann. Stat."},{"key":"9928_CR63","first-page":"1353","volume-title":"Advances in Neural Information Processing Systems","author":"YW Teh","year":"2007","unstructured":"Teh, Y.W., Newman, D., Welling, M.: A collapsed variational Bayesian inference algorithm for latent Dirichlet allocation. In: Jordan, M.I., LeCun, Y., Solla, S.A. (eds.) Advances in Neural Information Processing Systems, vol. 19, pp. 1353\u20131360. MIT Press, Cambridge (2007)"},{"issue":"2","key":"9928_CR64","first-page":"7","volume":"12","author":"C Thomaz","year":"2006","unstructured":"Thomaz, C., Kitani, E., Gillies, D.: A maximum uncertainty lda-based approach for limited sample size problems\u2014with applications to face recognition. J. Braz. Comput. Soc. 12(2), 7\u201318 (2006)","journal-title":"J. Braz. Comput. Soc."},{"issue":"1","key":"9928_CR65","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1214\/ss\/1056397488","volume":"18","author":"R Tibshirani","year":"2003","unstructured":"Tibshirani, R., Hastie, T., Narasimhan, B., Chu, G.: Class prediction by nearest shrunken centroids, with applications to DNA microarrays. Stat. Sci. 18(1), 104\u2013117 (2003)","journal-title":"Stat. Sci."},{"key":"9928_CR66","first-page":"2579","volume":"9","author":"L van der Maaten","year":"2017","unstructured":"van der Maaten, L., Hinton, G.: Visualising data using t-sne. J. Mach. Learn. Res. 9, 2579\u20132605 (2017)","journal-title":"J. Mach. Learn. Res."},{"key":"9928_CR67","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1080\/01621459.2018.1473776","volume":"9","author":"Y Wang","year":"2018","unstructured":"Wang, Y., Blei, D.: Frequentist consistency of variational bayes. J. Am. Stat. Assoc. 9, 1\u201315 (2018). https:\/\/doi.org\/10.1080\/01621459.2018.1473776","journal-title":"J. Am. Stat. Assoc."},{"issue":"4","key":"9928_CR68","doi-asserted-by":"crossref","first-page":"2493","DOI":"10.1214\/11-AOAS493","volume":"5","author":"D Witten","year":"2011","unstructured":"Witten, D.: Classification and clustering of sequencing data using a Poisson model. Ann. Appl. Stat. 5(4), 2493\u20132518 (2011)","journal-title":"Ann. Appl. Stat."},{"key":"9928_CR69","unstructured":"Witten, D.: penalizedLDA: Penalized Classification Using Fisher\u2019s Linear Discriminant. R package version 1.1 (2015)"},{"issue":"5","key":"9928_CR70","doi-asserted-by":"crossref","first-page":"754","DOI":"10.1111\/j.1467-9868.2011.00783.x","volume":"73","author":"D Witten","year":"2011","unstructured":"Witten, D., Tibshirani, R.: Penalized classification using Fisher\u2019s linear discriminant. J. R. Stat. Soc. Ser. B 73(5), 754\u2013772 (2011)","journal-title":"J. R. Stat. Soc. Ser. B"},{"key":"9928_CR71","doi-asserted-by":"crossref","first-page":"1674","DOI":"10.1016\/j.csda.2008.02.005","volume":"53","author":"P Xu","year":"2009","unstructured":"Xu, P., Brock, G.N., Parrish, R.S.: Modified linear discriminant analysis approaches for classification of high-dimensional microarray data. Comput. Stat. Data Anal. 53, 1674\u20131687 (2009)","journal-title":"Comput. Stat. Data Anal."},{"issue":"7","key":"9928_CR72","doi-asserted-by":"crossref","first-page":"1726","DOI":"10.1080\/03610918.2012.744041","volume":"43","author":"S Zavorka","year":"2014","unstructured":"Zavorka, S., Perrett, J.: Minimum sample size considerations for two-group linear and quadratic discriminant analysis with rare populations. Commun. Stat. Simul. Comput. 43(7), 1726\u20131739 (2014)","journal-title":"Commun. Stat. Simul. Comput."},{"key":"9928_CR73","unstructured":"Zhang, A., Zhou, H.: Theoretical and computational guarantees of mean field variational inference for community detection. arXiv (2017)"},{"key":"9928_CR74","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1016\/j.eswa.2017.04.003","volume":"82","author":"C Zhang","year":"2017","unstructured":"Zhang, C., Liu, C., Zhang, X., Almpanidis, G.: An up-to-date comparison of state-of-the-art classification algorithms. Exp. Syst. Appl. 82, 128\u2013150 (2017)","journal-title":"Exp. Syst. Appl."}],"container-title":["Statistics and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-020-09928-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11222-020-09928-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-020-09928-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,31]],"date-time":"2024-07-31T20:17:28Z","timestamp":1722457048000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11222-020-09928-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,19]]},"references-count":74,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2020,7]]}},"alternative-id":["9928"],"URL":"https:\/\/doi.org\/10.1007\/s11222-020-09928-8","relation":{},"ISSN":["0960-3174","1573-1375"],"issn-type":[{"type":"print","value":"0960-3174"},{"type":"electronic","value":"1573-1375"}],"subject":[],"published":{"date-parts":[[2020,2,19]]},"assertion":[{"value":"19 October 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 February 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 February 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}