High-dimensional linear discriminant analysis using nonparametric methods

[1]  Wenhua Jiang On general maximum likelihood empirical Bayes estimation of heteroscedastic IID normal means , 2020, Electronic Journal of Statistics.

[2]  E. K. Kemsley,et al.  Sodium dodecyl sulphate‐polyacrylamide gel electrophoresis of proteins in dry‐cured hams: Data registration and multivariate analysis across multiple gels , 2006, Electrophoresis.

[3]  Wenhua Jiang,et al.  General maximum likelihood empirical Bayes estimation of normal means , 2009, 0908.1709.

[4]  Long Feng,et al.  Approximate nonparametric maximum likelihood for mixture models: A convex optimization approach to fitting arbitrary multivariate mixing distributions , 2018, Comput. Stat. Data Anal..

[5]  Adityanand Guntuboyina,et al.  On the nonparametric maximum likelihood estimator for Gaussian location mixture densities with application to Gaussian denoising , 2017, The Annals of Statistics.

[6]  Yang Feng,et al.  A road to classification in high dimensional space: the regularized optimal affine discriminant , 2010, Journal of the Royal Statistical Society. Series B, Statistical methodology.

[7]  R. Tibshirani,et al.  Penalized classification using Fisher's linear discriminant , 2011, Journal of the Royal Statistical Society. Series B, Statistical methodology.

[8]  Tatsuya Kubokawa,et al.  Estimation of the precision matrix of a singular Wishart distribution and its application in high-dimensional data , 2008 .

[9]  Anne Vincent-Salomon,et al.  A prognostic DNA signature for T1T2 node‐negative breast cancer patients , 2010, Genes, chromosomes & cancer.

[10]  J. Kiefer,et al.  CONSISTENCY OF THE MAXIMUM LIKELIHOOD ESTIMATOR IN THE PRESENCE OF INFINITELY MANY INCIDENTAL PARAMETERS , 1956 .

[11]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[12]  Clifford Lam,et al.  Nonparametric eigenvalue-regularized precision or covariance matrix estimator , 2016 .

[13]  Junyong Park,et al.  Application of Non Parametric Empirical Bayes Estimation to High Dimensional Classification , 2009, J. Mach. Learn. Res..

[14]  Jianqing Fan,et al.  High Dimensional Classification Using Features Annealed Independence Rules. , 2007, Annals of statistics.

[15]  Dean P. Foster,et al.  The risk inflation criterion for multiple regression , 1994 .

[16]  Sihai Dave Zhao,et al.  High-dimensional classification via nonparametric empirical Bayes and maximum likelihood inference , 2016 .

[17]  David J. Hand,et al.  Classifier Technology and the Illusion of Progress , 2006, math/0606441.

[18]  Yongho Jeon,et al.  HDLSS Discrimination With Adaptive Data Piling , 2013 .

[19]  Trevor Hastie,et al.  Regularized linear discriminant analysis and its application in microarrays. , 2007, Biostatistics.

[20]  Trevor Hastie,et al.  Class Prediction by Nearest Shrunken Centroids, with Applications to DNA Microarrays , 2003 .

[21]  T. Cai,et al.  A Direct Estimation Approach to Sparse Linear Discriminant Analysis , 2011, 1107.3442.

[22]  I. Johnstone,et al.  Adapting to Unknown Smoothness via Wavelet Shrinkage , 1995 .