A More Powerful Two-Sample Test in High Dimensions using Random Projection
暂无分享,去创建一个
[1] A. Dempster. A HIGH DIMENSIONAL TWO SAMPLE SIGNIFICANCE TEST , 1958 .
[2] T. W. Anderson. An Introduction to Multivariate Statistical Analysis , 1959 .
[3] E. Lehmann. Testing Statistical Hypotheses , 1960 .
[4] A. Dempster. A significance test for the separation of two highly multivariate small samples , 1960 .
[5] P. Billingsley,et al. Probability and Measure , 1980 .
[6] G. Stewart. The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators , 1980 .
[7] R. Muirhead. Aspects of Multivariate Statistical Theory , 1982, Wiley Series in Probability and Statistics.
[8] D. Freedman,et al. Asymptotics of Graphical Projection Pursuit , 1984 .
[9] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[10] J. W. Silverstein. The Smallest Eigenvalue of a Large Dimensional Wishart Matrix , 1985 .
[11] W. Beckner. A generalized Poincaré inequality for Gaussian measures , 1989 .
[12] Michael Unser,et al. Statistical analysis of functional MRI data in the wavelet domain , 1998, IEEE Transactions on Medical Imaging.
[13] Z. Bai,et al. EFFECT OF HIGH DIMENSION: BY AN EXAMPLE OF A TWO SAMPLE PROBLEM , 1999 .
[14] J. Borwein,et al. Convex Analysis And Nonlinear Optimization , 2000 .
[15] P. Massart,et al. Adaptive estimation of a quadratic functional by model selection , 2000 .
[16] I. Johnstone. On the distribution of the largest eigenvalue in principal components analysis , 2001 .
[17] S. Szarek,et al. Chapter 8 - Local Operator Theory, Random Matrices and Banach Spaces , 2001 .
[18] Santosh S. Vempala,et al. The Random Projection Method , 2005, DIMACS Series in Discrete Mathematics and Theoretical Computer Science.
[19] T. Speed,et al. GOstat: find statistically overrepresented Gene Ontologies within a group of genes. , 2004, Bioinformatics.
[20] Dimitri Van De Ville,et al. Integrated wavelet processing and spatial statistical testing of fMRI data , 2004, NeuroImage.
[21] I. Johnstone,et al. Adapting to unknown sparsity by controlling the false discovery rate , 2005, math/0505374.
[22] T. Kollo,et al. Advanced Multivariate Statistics with Matrices , 2005 .
[23] Pablo Tamayo,et al. Gene set enrichment analysis: A knowledge-based approach for interpreting genome-wide expression profiles , 2005, Proceedings of the National Academy of Sciences of the United States of America.
[24] Peng Xiao,et al. Hotelling’s T 2 multivariate profiling for detecting differential expression in microarrays , 2005 .
[25] Bernhard Schölkopf,et al. A Kernel Method for the Two-Sample-Problem , 2006, NIPS.
[26] P. Massart,et al. Concentration inequalities and model selection , 2007 .
[27] Zaïd Harchaoui,et al. Testing for Homogeneity with Kernel Fisher Discriminant Analysis , 2007, NIPS.
[28] Peter Bühlmann,et al. Analyzing gene expression data in terms of gene sets: methodological issues , 2007, Bioinform..
[29] Juan Antonio Cuesta-Albertos,et al. The random projection method in goodness of fit for functional data , 2007, Comput. Stat. Data Anal..
[30] R. Tothill,et al. Novel Molecular Subtypes of Serous and Endometrioid Ovarian Cancer Linked to Clinical Outcome , 2008, Clinical Cancer Research.
[31] M. Srivastava,et al. A test for the mean vector with fewer observations than the dimension , 2008 .
[32] T. Ørntoft,et al. Metastasis-Associated Gene Expression Changes Predict Poor Outcomes in Patients with Dukes Stage B and C Colorectal Cancer , 2009, Clinical Cancer Research.
[33] Stéphan Clémençon,et al. AUC optimization and the two-sample problem , 2009, NIPS.
[34] Muni S. Srivastava,et al. A test for the mean vector with fewer observations than the dimension under non-normality , 2009, J. Multivar. Anal..
[35] I. Bechar,et al. A Bernstein-type inequality for stochastic processes of quadratic forms of Gaussian variables , 2009, 0909.3595.
[36] S. Dudoit,et al. Gains in Power from Structured Two-Sample Tests of Means on Graphs , 2010, 1009.5173.
[37] Louis H. Y. Chen,et al. Normal Approximation by Stein's Method , 2010 .
[38] Song-xi Chen,et al. A two-sample test for high-dimensional data with applications to gene-set testing , 2010, 1002.4547.
[39] T. Rème,et al. A high-risk signature for patients with multiple myeloma established from the molecular classification of human myeloma cell lines , 2011, Haematologica.
[40] Thomas L. Marzetta,et al. A Random Matrix-Theoretic Approach to Handling Singular Covariance Estimates , 2011, IEEE Transactions on Information Theory.
[41] Gongguo Tang,et al. The Stability of Low-Rank Matrix Reconstruction: A Constrained Singular Value View , 2010, IEEE Transactions on Information Theory.