-
2
-
-
0033569406
-
Molecular classification of cancer: Class discovery and class prediction by gene expression monitoring
-
T. Golub, D. Slonim, P. Tamayo, C. Huard, M. Gaasenbeek, J. Mesirov, H. Coller, M. Loh, J. Downing, M. Caligiuri, C. Bloomfield, and E. Lander, "Molecular Classification of Cancer: Class Discovery and Class Prediction by Gene Expression Monitoring," Science, vol. 286, pp. 531-537, 1999.
-
(1999)
Science
, vol.286
, pp. 531-537
-
-
Golub, T.1
Slonim, D.2
Tamayo, P.3
Huard, C.4
Gaasenbeek, M.5
Mesirov, J.6
Coller, H.7
Loh, M.8
Downing, J.9
Caligiuri, M.10
Bloomfield, C.11
Lander, E.12
-
3
-
-
33746512512
-
Principal components analysis corrects for stratification in genome-wide association studies
-
DOI 10.1038/ng1847, PII NG1847
-
A. Price, N. Patterson, R. Plenge, M. Weinblatt, N. Shadick, and D. Reich, "Principal Components Analysis Corrects for Stratification in Genome-Wide Association Studies," Nature Genetics, vol. 38, pp. 904-909, 2006. (Pubitemid 44141658)
-
(2006)
Nature Genetics
, vol.38
, Issue.8
, pp. 904-909
-
-
Price, A.L.1
Patterson, N.J.2
Plenge, R.M.3
Weinblatt, M.E.4
Shadick, N.A.5
Reich, D.6
-
4
-
-
0000178613
-
On the reciprocal of the general algebraic matrix
-
E.H. Moore, "On the Reciprocal of the General Algebraic Matrix," Bull. Am. Math. Soc., vol. 26, pp. 394-395, 1920.
-
(1920)
Bull. Am. Math. Soc.
, vol.26
, pp. 394-395
-
-
Moore, E.H.1
-
5
-
-
84947145047
-
A generalized inverse for matrices
-
R. Penrose, "A Generalized Inverse for Matrices," Proc. Cambridge Philosophical Soc, vol. 51, pp. 406-413, 1955.
-
(1955)
Proc. Cambridge Philosophical Soc
, vol.51
, pp. 406-413
-
-
Penrose, R.1
-
6
-
-
0032042805
-
Expected classification error of the Fisher linear classifier with pseudo-inverse covariance matrix
-
PII S0167865598000166
-
S. Raudys and R Duin, "Expected Classification Error of the Fisher Linear Classifier with Pseudo-Inverse Covariance Matrix," Pattern Recognition Letters, vol. 19, pp. 385-392, 1998. (Pubitemid 128369345)
-
(1998)
Pattern Recognition Letters
, vol.19
, Issue.5-6
, pp. 385-392
-
-
Raudys, S.1
Duin, R.P.W.2
-
7
-
-
21844512674
-
Discriminant analysis with singular covariance matrices: Methods and applications to spectroscopic data
-
W. Krzanowski, P. Jonathan, W. McCarthy, and M. Thomas, "Discriminant Analysis with Singular Covariance Matrices: Methods and Applications to Spectroscopic Data," Applied Statistics, vol. 44, pp. 101-115, 1995.
-
(1995)
Applied Statistics
, vol.44
, pp. 101-115
-
-
Krzanowski, W.1
Jonathan, P.2
McCarthy, W.3
Thomas, M.4
-
8
-
-
15944364151
-
An empirical Bayes approach to inferring large-scale gene association networks
-
DOI 10.1093/bioinformatics/bti062
-
J. Schafer and K. Strimmer, "An Empirical Bayes Approach to Inferring Large Scale Gene Association Networks," Bioinformatics, vol. 21, pp. 754-764, 2005. (Pubitemid 40439411)
-
(2005)
Bioinformatics
, vol.21
, Issue.6
, pp. 754-764
-
-
Schafer, J.1
Strimmer, K.2
-
10
-
-
0000044667
-
Eigenvalues of covariance matrices: Application to neural-network learning
-
Y. Le Cun, I. Kanter, and S. Solla, "Eigenvalues of Covariance Matrices: Application to Neural-Network Learning," Physical Rev. Letters, vol. 66, pp. 2396-2399, 1991.
-
(1991)
Physical Rev. Letters
, vol.66
, pp. 2396-2399
-
-
Le Cun, Y.1
Kanter, I.2
Solla, S.3
-
11
-
-
0000821295
-
Generalization in a linear perceptron in the presence of noise
-
A. Krogh and J. Hertz, "Generalization in a Linear Perceptron in the Presence of Noise," J. Physics A: Math. and General, vol. 25, pp. 1135-1147, 1992.
-
(1992)
J. Physics A: Math. and General
, vol.25
, pp. 1135-1147
-
-
Krogh, A.1
Hertz, J.2
-
12
-
-
0027188154
-
Stochastic linear learning: Exact test and training error averages
-
L. Hansen, "Stochastic Linear Learning: Exact Test and Training Error Averages," Neural Networks, vol. 6, pp. 393- 396, 1993.
-
(1993)
Neural Networks
, vol.6
, pp. 393-396
-
-
Hansen, L.1
-
13
-
-
22244458712
-
Finite-size effects and optimal test set size in linear perceptrons
-
D. Barber, D. Saad, and P. Sollich, "Finite-Size Effects and Optimal Test Set Size in Linear Perceptrons," J. Physics A: Math. and General, vol. 28, pp. 1325-1334, 1995.
-
(1995)
J. Physics A: Math. and General
, vol.28
, pp. 1325-1334
-
-
Barber, D.1
Saad, D.2
Sollich, P.3
-
14
-
-
0000011340
-
Some matrix-inequalities and metrization of matrix-space
-
J. von Neumann, "Some Matrix-Inequalities and Metrization of Matrix-Space," Tomsk Univ. Rev., vol. 1, pp. 286-300, 1937.
-
(1937)
Tomsk Univ. Rev.
, vol.1
, pp. 286-300
-
-
Von Neumann, J.1
-
15
-
-
34250407557
-
A trace inequality of john von neumann
-
L. Mirsky, "A Trace Inequality of John von Neumann," Monatshefte fur Mathematik, vol. 79, pp. 303-306, 1975.
-
(1975)
Monatshefte fur Mathematik
, vol.79
, pp. 303-306
-
-
Mirsky, L.1
-
16
-
-
0029359118
-
A trace inequality for matrix product
-
Aug.
-
J. Lasserre, "A Trace Inequality for Matrix Product," IEEE Trans. Automatic Control, vol. 40, no. 8, pp. 1500-1501, Aug. 1995.
-
(1995)
IEEE Trans. Automatic Control
, vol.40
, Issue.8
, pp. 1500-1501
-
-
Lasserre, J.1
-
18
-
-
33746820258
-
On the multiplication of successions of fourier constants
-
W. Young, "On the Multiplication of Successions of Fourier Constants," Proc. Royal Soc. Series A, vol. 87, pp. 331-339, 1912.
-
(1912)
Proc. Royal Soc. Series A
, vol.87
, pp. 331-339
-
-
Young, W.1
-
19
-
-
79961039847
-
High dimensional statistical inference and random matrices
-
M. Sanz-Sole, J. Soria, J. Varona, and J. Verdera, eds.
-
I. Johnstone, "High Dimensional Statistical Inference and Random Matrices," Proc. Int'l Congress of Mathematicians, M. Sanz-Sole, J. Soria, J. Varona, and J. Verdera, eds., 2006.
-
(2006)
Proc. Int'l Congress of Mathematicians
-
-
Johnstone, I.1
-
20
-
-
33846346186
-
Statistical mechanics of learning multiple orthogonal signals: Asymptotic theory and fluctuation effects
-
doi: 10.1103/PhysRevE. 75.016101
-
D. Hoyle and M. Rattray, "Statistical Mechanics of Learning Multiple Orthogonal Signals: Asymptotic Theory and Fluctuation Effects," Physical Rev. E, vol. 75, 2007, doi: 10.1103/PhysRevE. 75.016101.
-
(2007)
Physical Rev. e
, vol.75
-
-
Hoyle, D.1
Rattray, M.2
-
21
-
-
0000263234
-
Distribution of eigenvalues for some sets of random matrices
-
V.A. Marcenko and L.A. Pastur, "Distribution of Eigenvalues for Some Sets of Random Matrices," Math. USSR-Sb, vol. 1, pp. 457- 483, 1967.
-
(1967)
Math. USSR-Sb
, vol.1
, pp. 457-483
-
-
Marcenko, V.A.1
Pastur, L.A.2
-
22
-
-
0002247902
-
The strong limits of random matrix spectra for sample matrices of independent elements
-
K. Wachter, "The Strong Limits of Random Matrix Spectra for Sample Matrices of Independent Elements," Annnals of Probability, vol. 6, pp. 1-18, 1978.
-
(1978)
Annnals of Probability
, vol.6
, pp. 1-18
-
-
Wachter, K.1
-
23
-
-
0000249632
-
Distributions of singular values for some random matrices
-
A.M. Sengupta and P.P. Mitra, "Distributions of Singular Values for Some Random Matrices," Physical Rev. E, vol. 60, pp. 3389-3392, 1999. (Pubitemid 129691525)
-
(1999)
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
, vol.60
, Issue.3
, pp. 3389-3392
-
-
Sengupta, A.M.1
Mitra, P.P.2
-
24
-
-
85028097406
-
A statistical mechanics analysis of gram matrix eigenvalue spectra
-
J. Shawe-Taylor and Y. Singer, eds.
-
D. Hoyle and M. Rattray, "A Statistical Mechanics Analysis of Gram Matrix Eigenvalue Spectra," Proc. Conf. Learning Theory, J. Shawe-Taylor and Y. Singer, eds., 2004.
-
(2004)
Proc. Conf. Learning Theory
-
-
Hoyle, D.1
Rattray, M.2
-
25
-
-
0030211964
-
Bagging predictors
-
L. Breiman, "Bagging Predictors," Machine Learning, vol. 24, pp. 123-140, 1996. (Pubitemid 126724382)
-
(1996)
Machine Learning
, vol.24
, Issue.2
, pp. 123-140
-
-
Breiman, L.1
-
26
-
-
0000485973
-
The efficient generation of random orthogonal matrices with an application to condition estimators
-
G Stewart, "The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators," SIAM J. Numerical Analysis, vol. 17, pp. 403-409, 1980.
-
(1980)
SIAM J. Numerical Analysis
, vol.17
, pp. 403-409
-
-
Stewart, G.1
-
27
-
-
34250885083
-
Competitive baseline methods set new standards for the NIPS 2003 feature selection benchmark
-
DOI 10.1016/j.patrec.2007.02.014, PII S0167865507000694
-
I. Guyon, J. Li, T. Mader, P.A. Pletscher, G Schneider, and M. Uhr, "Competitive Baseline Methods Set New Standards for the NIPS 2003 Feature Selection Benchmark," Pattern Recognition letters, vol. 28, pp. 1438-1444, 2007. (Pubitemid 46990581)
-
(2007)
Pattern Recognition Letters
, vol.28
, Issue.12
, pp. 1438-1444
-
-
Guyon, I.1
Li, J.2
Mader, T.3
Pletscher, P.A.4
Schneider, G.5
Uhr, M.6
-
28
-
-
0035999981
-
Making sense of microarray data distributions
-
D. Hoyle, M. Rattray, R Jupp, and A. Brass, "Making Sense of Microarray Data Distributions," Bioinformatics, vol. 18, pp. 576-584, 2002. (Pubitemid 34521047)
-
(2002)
Bioinformatics
, vol.18
, Issue.4
, pp. 576-584
-
-
Hoyle, D.C.1
Rattray, M.2
Jupp, R.3
Brass, A.4
-
29
-
-
0347243182
-
Nonlinear Component Analysis as a Kernel Eigenvalue Problem
-
B. Scholkopf, A. Smola, and K.-R. Muller, "Nonlinear Component Analysis as a Kernel Eigenvalue Problem," Neural Computation, vol. 10, pp. 1299-1319, 1998. (Pubitemid 128463674)
-
(1998)
Neural Computation
, vol.10
, Issue.5
, pp. 1299-1319
-
-
Scholkopf, B.1
Smola, A.2
Muller, K.-R.3
-
30
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
I.M. Johnstone, "On the Distribution of the Largest Eigenvalue in Principal Components Analysis," Annals of Statistics, vol. 29, pp. 295-327, 2001.
-
(2001)
Annals of Statistics
, vol.29
, pp. 295-327
-
-
Johnstone, I.M.1
-
31
-
-
27644476898
-
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
-
DOI 10.1214/009117905000000233
-
J. Baik, G Ben Arous, and S. Peche, "Phase Transition of the Largest Eigenvalue for Non-Null Complex Sample Covariance Matrices," Annals of Probability, vol. 33, pp. 1643-1697, 2005. (Pubitemid 41560766)
-
(2005)
Annals of Probability
, vol.33
, Issue.5
, pp. 1643-1697
-
-
Baik, J.1
Arous, G.B.2
Peche, S.3
-
32
-
-
33646507506
-
Eigenvalues of large sample covariance matrices of spiked population models
-
DOI 10.1016/j.jmva.2005.08.003, PII S0047259X0500134X
-
J. Baik and J. Silverstein, "Eigenvalues of Large Sample Covar-iance Matrices of Spiked Population Models," J. Multivariate Analysis, vol. 97, pp. 1382-1408, 2006. (Pubitemid 43705671)
-
(2006)
Journal of Multivariate Analysis
, vol.97
, Issue.6
, pp. 1382-1408
-
-
Baik, J.1
Silverstein, J.W.2
-
33
-
-
38549175880
-
Asymptotics of sample eigenstruture for a large dimensional spiked covariance model
-
D. Paul, "Asymptotics of Sample Eigenstruture for a Large Dimensional Spiked Covariance Model," Statistica Sinica, vol. 17, pp. 1617-1642, 2007.
-
(2007)
Statistica Sinica
, vol.17
, pp. 1617-1642
-
-
Paul, D.1
-
34
-
-
0037389951
-
PCA learning for sparse high-dimensional data
-
DOI 10.1209/epl/i2003-00370-1
-
D.C. Hoyle and M. Rattray, "PCA Learning for Sparse High-Dimensional Data," Europhysics Letters, vol. 62, pp. 117-123, 2003. (Pubitemid 36420421)
-
(2003)
Europhysics Letters
, vol.62
, Issue.1
, pp. 117-123
-
-
Hoyle, D.C.1
Rattray, M.2
-
35
-
-
42749102750
-
Principal-component-analysis eigenvalue spectra from data with symmetry-breaking structure
-
doi: 10.1103/PhysRevE.69.026124
-
D. Hoyle and M. Rattray, "Principal-Component-Analysis Eigenvalue Spectra from Data with Symmetry-Breaking Structure," Physical Rev. E, vol. 69, 2004, doi: 10.1103/PhysRevE.69.026124.
-
(2004)
Physical Rev. e
, vol.69
-
-
Hoyle, D.1
Rattray, M.2
-
36
-
-
0038959172
-
Probabilistic principal component analysis
-
M. Tipping and C. Bishop, "Probabilistic Principal Component Analysis," J. Royal Statistical Soc. B, vol. 61, pp. 611-622, 1999.
-
(1999)
J. Royal Statistical Soc. B
, vol.61
, pp. 611-622
-
-
Tipping, M.1
Bishop, C.2
-
37
-
-
84899022480
-
Automatic choice of dimensionality for PCA
-
T. Leen, T. Dietterich, and V. Tresp, eds. MIT Press
-
T. Minka, "Automatic Choice of Dimensionality for PCA," Advances in Neural Information Processing Systems, T. Leen, T. Dietterich, and V. Tresp, eds., pp. 598-604, MIT Press, 2001.
-
(2001)
Advances in Neural Information Processing Systems
, pp. 598-604
-
-
Minka, T.1
-
38
-
-
58149310770
-
Automatic PCA dimension selection for high dimensional data and small sample sizes
-
D. Hoyle, "Automatic PCA Dimension Selection for High Dimensional Data and Small Sample Sizes," J. Machine Learning Research, vol. 9, pp. 2733-2759, 2008.
-
(2008)
J. Machine Learning Research
, vol.9
, pp. 2733-2759
-
-
Hoyle, D.1
-
39
-
-
27844521293
-
A shrinkage approach to large-scale covariance matrix estimation and implications for functional genomics
-
J. Schäfer and K. Strimmer, "A Shrinkage Approach to Large-Scale Covariance Matrix Estimation and Implications for Functional Genomics," Statistical Applications in Genetics and Molecular Biology, vol. 4, 2005.
-
(2005)
Statistical Applications in Genetics and Molecular Biology
, vol.4
-
-
Schäfer, J.1
Strimmer, K.2
-
40
-
-
41549106844
-
Regularized estimation of large covariance matrices
-
P. Bickel and E. Levina, "Regularized Estimation of Large Covariance Matrices," Annals of Statistics, vol. 36, pp. 199-227, 2008.
-
(2008)
Annals of Statistics
, vol.36
, pp. 199-227
-
-
Bickel, P.1
Levina, E.2
|