Jack Silverstein

Zhou, H., Hu, J., Bai, Z., & Silverstein, J. W. (2023, July 28). Analysis of the Limiting Spectral Distribution of Large-dimensional General Information-Plus-Noise-Type Matrices. JOURNAL OF THEORETICAL PROBABILITY, Vol. 7. https://doi.org/10.1007/s10959-023-01276-3

Bai, Z., & Silverstein, J. W. (2022). A tribute to PR Krishnaiah. JOURNAL OF MULTIVARIATE ANALYSIS, 188. https://doi.org/10.1016/j.jmva.2021.104828

Silverstein, J. W. (2022, July 28). Limiting eigenvalue behavior of a class of large dimensional random matrices formed from a Hadamard product. RANDOM MATRICES-THEORY AND APPLICATIONS, Vol. 7. https://doi.org/10.1142/S2010326322500502

Silverstein, J. W. (2022). Weak convergence of a collection of random functions defined by the eigenvectors of large dimensional random matrices. RANDOM MATRICES-THEORY AND APPLICATIONS, 11(04). https://doi.org/10.1142/S2010326322500332

Local Convergence of an AMP Variant to the LASSO Solution in Finite Dimensions. (2020, July 18).

Weak Convergence of a Collection of Random Functions Defined by the Eigenvectors of Large Dimensional Random Matrices. (2020, December 23).

Bryc, W., & Silverstein, J. W. (2019). Singular values of large non-central random matrices. Random Matrices: Theory and Applications, 6, 2050012. https://doi.org/10.1142/s2010326320500124

Couillet, R., Pascal, F., & Silverstein, J. W. (2015). The random matrix regime of Maronna's M-estimator with elliptically distributed samples. JOURNAL OF MULTIVARIATE ANALYSIS, 139, 56–78. https://doi.org/10.1016/j.jmva.2015.02.020

Wang, Q., Silverstein, J. W., & Yao, J.-F. (2014). A note on the CLT of the LSS for sample covariance matrix from a spiked population model. JOURNAL OF MULTIVARIATE ANALYSIS, 130, 194–207. https://doi.org/10.1016/j.jmva.2014.04.021

Couillet, R., Pascal, F., & Silverstein, J. W. (2014). Robust Estimates of Covariance Matrices in the Large Dimensional Regime. IEEE TRANSACTIONS ON INFORMATION THEORY, 60(11), 7269–7278. https://doi.org/10.1109/tit.2014.2354045

Couillet, R., Pascal, F., & Silverstein, J. W. (2013). A joint robust estimation and random matrix framework with application to array processing. 2013 IEEE International Conference on Acoustics, Speech and Signal Processing. Presented at the ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). https://doi.org/10.1109/icassp.2013.6638930

Bryc, K., Bryc, W., & Silverstein, J. W. (2013). Separation of the largest eigenvalues in eigenanalysis of genotype data from discrete subpopulations. THEORETICAL POPULATION BIOLOGY, 89, 34–43. https://doi.org/10.1016/j.tpb.2013.08.004

Hachem, W., Kharouf, M., Najim, J., & Silverstein, J. W. (2012). A CLT FOR INFORMATION-THEORETIC STATISTICS OF NON-CENTERED GRAM RANDOM MATRICES. Random Matrices: Theory and Applications, 01(02), 1150010. https://doi.org/10.1142/s2010326311500109

Bai, Z., & Silverstein, J. W. (2012). NO EIGENVALUES OUTSIDE THE SUPPORT OF THE LIMITING SPECTRAL DISTRIBUTION OF INFORMATION-PLUS-NOISE TYPE MATRICES. Random Matrices: Theory and Applications, 01(01), 1150004. https://doi.org/10.1142/s2010326311500043

Couillet, R., Debbah, M., & Silverstein, J. W. (2011). A Deterministic Equivalent for the Analysis of Correlated MIMO Multiple Access Channels. IEEE Transactions on Information Theory, 57(6), 3493–3514. https://doi.org/10.1109/tit.2011.2133151

Couillet, R., Silverstein, J. W., Bai, Z., & Debbah, M. (2011, April). Eigen-Inference for Energy Estimation of Multiple Sources. IEEE TRANSACTIONS ON INFORMATION THEORY, Vol. 57, pp. 2420–2439. https://doi.org/10.1109/tit.2011.2109990

Silverstein, J. W. (2011). Random Matrix Theory. In International Encyclopedia of Statistical Science (pp. 1168–1170). https://doi.org/10.1007/978-3-642-04898-2_472

Couillet, R., Silverstein, J. W., & Debbah, M. (2010). Eigen-inference for multi-source power estimation. 2010 IEEE International Symposium on Information Theory. Presented at the 2010 IEEE International Symposium on Information Theory - ISIT. https://doi.org/10.1109/isit.2010.5513327

Nadakuditi, R. R., & Silverstein, J. W. (2010). Fundamental Limit of Sample Generalized Eigenvalue Based Detection of Signals in Noise Using Relatively Few Signal-Bearing and Noise-Only Samples. IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, 4(3), 468–480. https://doi.org/10.1109/jstsp.2009.2038310

Bai, Z. D., & Silverstein, J. (2010). Spectral Analysis of Large Dimensional Random Matrices (2nd ed.). New York: Springer.

Couillet, R., Debbah, M., & Silverstein, J. W. (2009). Asymptotic capacity of multi-user MIMO communications. 2009 IEEE Information Theory Workshop. Presented at the 2009 IEEE Information Theory Workshop (ITW 2009). https://doi.org/10.1109/itw.2009.5351274

Paul, D., & Silverstein, J. W. (2009). No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix. JOURNAL OF MULTIVARIATE ANALYSIS, 100(1), 37–57. https://doi.org/10.1016/j.jmva.2008.03.010

Couillet, R., Debbah, M., & Silverstein, J. W. (2009). Rate region of correlated MIMO multiple access channels and broadcast channels. 2009 IEEE/SP 15th Workshop on Statistical Signal Processing. Presented at the 2009 IEEE/SP 15th Workshop on Statistical Signal Processing (SSP). https://doi.org/10.1109/ssp.2009.5278602

Silverstein, J. W. (2009). THE STIELTJES TRANSFORM AND ITS ROLE IN EIGENVALUE BEHAVIOR OF LARGE DIMENSIONAL RANDOM MATRICES. In Random Matrix Theory and Its Applications (pp. 1–25). https://doi.org/10.1142/9789814273121_0001

Dozier, R. B., & Silverstein, J. W. (2007). Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices. JOURNAL OF MULTIVARIATE ANALYSIS, 98(6), 1099–1122. https://doi.org/10.1016/j.jmva.2006.12.005

Nadakuditi, R. R., & Silverstein, J. W. (2007). Fundamental Limit of Sample Eigenvalue based Detection of Signals in Colored Noise using Relatively Few Samples. 2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers. Presented at the 2007 41st Asilomar conference on Signals, Systems and Computers (ACSSC). https://doi.org/10.1109/acssc.2007.4487301

Dozier, R. B., & Silverstein, J. W. (2007). On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices. JOURNAL OF MULTIVARIATE ANALYSIS, 98(4), 678–694. https://doi.org/10.1016/j.jmva.2006.09.006

Bai, Z. D., & Silverstein, J. W. (2007). On the signal-to-interference ratio of CDMA systems in wireless communications. ANNALS OF APPLIED PROBABILITY, 17(1), 81–101. https://doi.org/10.1214/105051606000000637

Baik, J., & Silverstein, J. W. (2006). Eigenvalues of large sample covariance matrices of spiked population models. JOURNAL OF MULTIVARIATE ANALYSIS, 97(6), 1382–1408. https://doi.org/10.1016/j.jmva.2005.08.003

Rider, B., & Silverstein, J. W. (2006). Gaussian fluctuations for non-Hermitian random matrix ensembles. ANNALS OF PROBABILITY, 34(6), 2118–2143. https://doi.org/10.1214/009117906000000403

Bai, Z. D., & Silverstein, J. (2006). Spectral Analysis of Large Dimensional Random Matrices (1st ed.). New York / Beijing: Springer / Science Press.

Silverstein, J., & Tulino, A. (2006). Theory of Large Dimensional Random Matrices for Engineers. 2006 IEEE Ninth International Symposium on Spread Spectrum Techniques and Applications. Presented at the 2006 IEEE Ninth International Symposium on Spread Spectrum Techniques and Applications. https://doi.org/10.1109/isssta.2006.311814

Bai, Z. D., & Silverstein, J. W. (2004). CLT for linear spectral statistics of large-dimensional sample covariance matrices. Annals of Probability, 32(1A), 553–605.

Bai, Z. D., & Silverstein, J. W. (1999). Exact separation of eigenvalues of large dimensional sample covariance matrices. Annals of Probability, 27(3), 1536–1555.

Silverstein, J. W. (1999). Methodologies in spectral analysis of large dimensional random matrices, a review - Comment: Complements and new developments. Statistica Sinica, 9(3), 667–671.

Bai, Z. D., & Silverstein, J. W. (1998). No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Annals of Probability, 26(1), 316–345. https://doi.org/10.1214/aop/1022855421

Silverstein, J. W., & Choi, S. I. (1995). Analysis of the Limiting Spectral Distribution of Large Dimensional Random Matrices. Journal of Multivariate Analysis, 54(2), 295–309. https://doi.org/10.1006/jmva.1995.1058

Silverstein, J. W., & Bai, Z. D. (1995). On the Empirical Distribution of Eigenvalues of a Class of Large Dimensional Random Matrices. Journal of Multivariate Analysis, 54(2), 175–192. https://doi.org/10.1006/jmva.1995.1051

Silverstein, J. W. (1995). Strong Convergence of the Empirical Distribution of Eigenvalues of Large Dimensional Random Matrices. Journal of Multivariate Analysis, 55(2), 331–339. https://doi.org/10.1006/jmva.1995.1083

Silverstein, J. W. (1994). The spectral radii and norms of large dimensional non-central random matrices. Communications in Statistics. Stochastic Models, 10(3), 525–532. https://doi.org/10.1080/15326349408807308

Silverstein, J. W., & Combettes, P. L. (1992). Large dimensional random matrix theory for signal detection and estimation in array processing. [1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing, 276–279. https://doi.org/10.1109/ssap.1992.246796

Silverstein, J. W., & Combettes, P. L. (1992). Signal detection via spectral theory of large dimensional random matrices. IEEE Transactions on Signal Processing, 40(8), 2100–2105. https://doi.org/10.1109/78.149981

Silverstein, J. W., & Combettes, P. L. (1990). Spectral theory of large dimensional random matrices applied to signal detection [Technical Report.].

Silverstein, J. W. (1990). Weak Convergence of Random Functions Defined by The Eigenvectors of Sample Covariance Matrices. The Annals of Probability, 18(3), 1174–1194. https://doi.org/10.1214/aop/1176990741

Silverstein, J. W. (1989). On the eigenvectors of large dimensional sample covariance matrices. Journal of Multivariate Analysis, 30(1), 1–16. https://doi.org/10.1016/0047-259x(89)90084-5

Silverstein, J. W. (1989). On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix. Journal of Multivariate Analysis, 30(2), 307–311. https://doi.org/10.1016/0047-259x(89)90042-0

Bai, Z. D., Silverstein, J. W., & Yin, Y. Q. (1988). A note on the largest eigenvalue of a large dimensional sample covariance matrix. Journal of Multivariate Analysis, 26(2), 166–168. https://doi.org/10.1016/0047-259x(88)90078-4

Silverstein, J. W. (1986). Eigenvalues and eigenvectors of large-dimensional sample covariance matrices. Random Matrices and Their Applications, 50, 153–159. https://doi.org/10.1090/conm/050/841089

Silverstein, J. W. (1985). The Limiting Eigenvalue Distribution of a Multivariate F Matrix. SIAM Journal on Mathematical Analysis, 16(3), 641–646. https://doi.org/10.1137/0516047

Silverstein, J. W. (1985). The Smallest Eigenvalue of a Large Dimensional Wishart Matrix. The Annals of Probability, 13(4), 1364–1368. https://doi.org/10.1214/aop/1176992819

Silverstein, J. W. (1984). Comments on a result of Yin, Bai, and Krishnaiah for large dimensional multivariate F matrices. Journal of Multivariate Analysis, 15(3), 408–409. https://doi.org/10.1016/0047-259x(84)90059-9

Yin, Y. Q., Bai, Z. D., & Krishnaiah, P. R. (1984). On Limit of the Largest Eigenvalue of the Large Dimensional Sample Covariance Matrix. https://doi.org/10.21236/ada150589

Silverstein, J. W. (1984). Some limit theorems on the eigenvectors of large dimensional sample covariance matrices. Journal of Multivariate Analysis, 15(3), 295–324. https://doi.org/10.1016/0047-259x(84)90054-x

Campbell, S. L., & Silverstein, J. W. (1981). A nonlinear system with singular vector field near equilibria. Applicable Analysis, 12(1), 57–71. https://doi.org/10.1080/00036818108839348

Silverstein, J. W. (1981). Describing the Behavior of Eigenvectors of Random Matrices Using Sequences of Measures on Orthogonal Groups. SIAM Journal on Mathematical Analysis, 12(2), 274–281. https://doi.org/10.1137/0512025

Silverstein, J. W. (1979). On the Randomness of Eigenvectors Generated from Networks with Random Topologies. SIAM Journal on Applied Mathematics, 37(2), 235–245. https://doi.org/10.1137/0137014

Silverstein, J. (1978). On word classification using a neural network (Pattern Analysis Report No. 43; Vol. 2; By U. Grenander). Providence, Rhode Island: Division of Applied Mathematics, Brown University.

Dalenius, T., & Silverstein, J. (1978). Public key cryptosystems: an elementary overview. In Confidentiality in Surveys (Report No. 29). Stockholm, Sweden: Department of Statistics, University of Stockholm.

Anderson, J. A., & Silverstein, J. W. (1978). Reply to Grossberg. Psychological Review, 85(6), 597–603. https://doi.org/10.1037/0033-295x.85.6.597

Anderson, J. A., Silverstein, J. W., Ritz, S. A., & Jones, R. S. (1977). Distinctive features, categorical perception, and probability learning: Some applications of a neural model. Psychological Review, 84(5), 413–451. https://doi.org/10.1037/0033-295x.84.5.413

Grenander, U., & Silverstein, J. W. (1977). Spectral Analysis of Networks with Random Topologies. SIAM Journal on Applied Mathematics, 32(2), 499–519. https://doi.org/10.1137/0132041

Silverstein, J. (1977). Stability analysis and correction of pathological behavior of neural networks (Pattern Analysis Report No. 48). Providence, Rhode Island: Division of Applied Mathematics, Brown University.

Anderson, J., Silverstein, J., & Ritz, S. (1977). Vowel pre-processing with a neurally based model. ICASSP '77. IEEE International Conference on Acoustics, Speech, and Signal Processing. Presented at the IEEE International Conference on Acoustics, Speech, and Signal Processing. https://doi.org/10.1109/icassp.1977.1170257

Silverstein, J. W. (1976). Asymptotics applied to a neural network. Biological Cybernetics, 22(2), 73–84. https://doi.org/10.1007/bf00320132

Silverstein, J., Anderson, J., & Ritz, S. (1976). Preprocessing with a simple neural model. Neuroscience Abstracts, 2(618), 438.

Combettes, P. L., & Silverstein, J. Comments on ‘A Unitary Transformation Method for Angle-of-Arrival Estimation’ [Technical Report].

Combettes, P. L., & Silverstein, J. Comments on ‘A Unitary Transformation Method for Angle-of-Arrival Estimation.’

Combettes, P. L., & Silverstein, J. On the rectification of covariance matrices [Technical Report].

Combettes, P. L., & Silverstein, J. On the rectification of covariance matrices.