Estimation of high-dimensional sparse cross correlation matrix |
Yin, Cao
(Department of Statistics, Seoul National University)
Kwangok, Seo (Department of Statistics, Seoul National University) Soohyun, Ahn (Department of Mathematics, Ajou University) Johan, Lim (Department of Statistics, Seoul National University) |
1 | Benjamini Y and Hochberg Y (1995). Controlling the false discovery rate: A practical and powerful approach to multiple testing, Journal of the Royal Statistical Society, Series B, 57, 289-300. |
2 | Benjamini Y and Yekutieli D (2001). The control of the false discovery rate in multiple testing under dependency, The Annals of Statistics, 29, 1165-1188. DOI |
3 | Bennett CM, Wolford GL, and Miller MB (2009). The principled control of false positives in neuroimaging, Social Cognitive and Affecive Neuroscience, 4, 417-422. DOI |
4 | Bickel P and Levina E (2008). Covariance regularization by thresholding, The Annals of Statistics, 36, 2577-2604. DOI |
5 | Cai T and Liu W (2011). Adaptive thresholding for sparse covariance matrix estimation, Journal of the American Statistical Association, 106, 672-684. DOI |
6 | Cai T and Liu W (2016). Large-scale multiple testing of correlations, Journal of the American Statistical Association, 111, 229-240. DOI |
7 | Cheng J, Kapranov P, Drenkow J, and Dike S (2005). Transcriptional maps of 10 human chromosomes at 5-nucleotide resolution, Science, 308, 1149-1154. DOI |
8 | Dubois PC, Trynka G, Franke L et al. (2010).Multiple common variants for celiac disease influencing immune gene expression, Nature Genetics, 42, 295-302. DOI |
9 | Efron B and Tibshirani R (2002). Empirical Bayes methods and false discovery rates for microarrays, Genetic Epidemiology, 23, 70-86. DOI |
10 | Efron B (2004). Large-scale simultaneous hypothesis testing: The choice of a null hypothesis, Journal of the American Statistical Association, 99, 96-104. DOI |
11 | Elliott P and Wartenberg D (2004). Review spatial epidemiology: Current approaches and future challenges, Environmental Health Perspectives, 112, 998-1006. DOI |
12 | Fan J, Fan Y, and Lv J (2008). High dimensional covariance matrix estimation using a factor model, Journal of Econometrics, 147, 186-197. DOI |
13 | Fan J, Han X, and Gu W (2012). Estimating false discovery proportion under arbitrary covariance dependence, Journal of the American Statistical Association, 107, 1019-1035. DOI |
14 | Han H, Shim H, Shin D, et al. (2015). TRRUST: A reference database of human transcriptional regulatory interactions, Scientific Reports, 5, 11432. |
15 | Huttlin EL, Ting L, Bruckner RJ, et al. (2015). The bioplex network: A systematic exploration of the human interactome, Cell, 162, 425-440. DOI |
16 | Jaeger J, Sengupta R, and Ruzzo WL (2003). Improved gene selection for classification of microarrays, Pacific Symposium on Biocomputing, 8, 53-64. |
17 | Liu W (2013). Gaussian graphical model estimation with false discovery rate control, The Annals of Statistics, 41, 2948-2978. |
18 | Razick S, Magklaras G, and Donaldson IM (2008). IRefIndex: A consolidated protein interaction database with provenance, BMC Bioinformatics, 9, 405. |
19 | Rosato A, Tenori L, Cascante M, De Atauri Carulla PR, Martins Dos Santos VA, and Saccenti E (2018). From correlation to causation: Analysis of metabolomics data using systems biology approaches, Metabolomics, 14, 37. |
20 | Shaw P, Greenstein D, Lerch J, et al. (2006). Intellectual ability and cortical development in children and adolescents, Nature, 440, 676-679. DOI |
21 | Xia Y, Cai T, and Cai TT (2015). Testing differential networks with applications to detecting geneby-gene interactions, Biometrika, 102, 247-266. DOI |
22 | Shedden K and Taylor J (2005). Differential correlation detects complex associations between gene expression and clinical outcomes in lung adenocarcinomas, Methods of Microarray Data Analysis, (pp. 121-131), Springer, Boston. |
23 | Storey JD (2002). A direct approach to false discovery rates, Journal of the Royal Statistical Society, Series B, 64, 479-498. DOI |
24 | Wang W and Fan J (2017). Asymptotics of empirical eigenstructure for high dimensional spiked covariance, The Annals of Statistics, 45, 1342-1374. |
25 | Yu D, Lee SH, Lim J, Xiao G, Craddock RC, and Biswal BB (2018). Fused lasso regression for identifying differential correlations in brain connectome graphs, Statistical Analysis and Data Mining, 11, 203-226. DOI |
26 | Zhao F, Xuan Z, Liu L, and Zhang MQ (2005). TRED: A Transcriptional Regulatory Element Database and a platform for in silico gene regulation studies, Nucleic Acids Research, 33, D103-D107. DOI |
27 | Zheng G, Tu K, Yang Q, Xiong Y, Wei C, Xie L, Zhu Y, and Li Y (2008). ITFP: An integrated platform of mammalian transcription factors, Bioinformatics, 24, 2416-2417. DOI |