Updated: August 19th, 2023 05:03

2023 article

Analysis of the Limiting Spectral Distribution of Large-dimensional General Information-Plus-Noise-Type Matrices

Zhou, H., Hu, J., Bai, Z., & Silverstein, J. W. (2023, July 28). *JOURNAL OF THEORETICAL PROBABILITY*, Vol. 7.

Sources: ORCID, Web Of Science

Added: July 29, 2023

2022 journal article

A tribute to PR Krishnaiah

*JOURNAL OF MULTIVARIATE ANALYSIS*, *188*.

author keywords: GIC of model selection; Image reconstruction; Prof. Krishnaiah; Random matrices

Sources: ORCID, Web Of Science

Added: September 6, 2021

2022 article

Limiting eigenvalue behavior of a class of large dimensional random matrices formed from a Hadamard product

Silverstein, J. W. (2022, July 28). *RANDOM MATRICES-THEORY AND APPLICATIONS*, Vol. 7.

author keywords: Eigenvalues of random matrices; Hadamard product; deterministic equivalent

Sources: Web Of Science, ORCID

Added: September 19, 2022

2022 journal article

Weak convergence of a collection of random functions defined by the eigenvectors of large dimensional random matrices

*RANDOM MATRICES-THEORY AND APPLICATIONS*, *11*(04).

Sources: ORCID, Web Of Science

Added: February 22, 2022

2020 article

Local Convergence of an AMP Variant to the LASSO Solution in Finite Dimensions

(2020, July 18).

Source: ORCID

Added: November 7, 2020

2020 article

Weak Convergence of a Collection of Random Functions Defined by the Eigenvectors of Large Dimensional Random Matrices

(2020, December 23).

Source: ORCID

Added: December 25, 2020

2019 journal article

Singular values of large non-central random matrices

*Random Matrices: Theory and Applications*, *6*, 2050012.

author keywords: Non-central random matrices; singular values; asymptotic normality

Sources: Crossref, ORCID

Added: July 6, 2020

2015 journal article

The random matrix regime of Maronna's M-estimator with elliptically distributed samples

*JOURNAL OF MULTIVARIATE ANALYSIS*, *139*, 56–78.

author keywords: Random matrix theory; Robust estimation; Elliptical distribution

Sources: Web Of Science, ORCID

Added: August 6, 2018

2014 journal article

A note on the CLT of the LSS for sample covariance matrix from a spiked population model

*JOURNAL OF MULTIVARIATE ANALYSIS*, *130*, 194–207.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2014 journal article

Robust Estimates of Covariance Matrices in the Large Dimensional Regime

*IEEE TRANSACTIONS ON INFORMATION THEORY*, *60*(11), 7269–7278.

author keywords: Robust estimation; random matrix theory

Sources: Web Of Science, ORCID

Added: August 6, 2018

2013 conference paper

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).

Event: ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

Sources: Crossref, ORCID

Added: August 24, 2020

2013 journal article

Separation of the largest eigenvalues in eigenanalysis of genotype data from discrete subpopulations

*THEORETICAL POPULATION BIOLOGY*, *89*, 34–43.

author keywords: Principal components analysis; Eigenanalysis; Population structure; Eigenvalues; Number of subpopulations

MeSH headings : Genetics, Population; Genotype; Humans; Models, Theoretical

Sources: Web Of Science, ORCID

Added: August 6, 2018

2012 journal article

A CLT FOR INFORMATION-THEORETIC STATISTICS OF NON-CENTERED GRAM RANDOM MATRICES

*Random Matrices: Theory and Applications*, *01*(02), 1150010.

Sources: Crossref, ORCID

Added: August 24, 2020

2012 journal article

NO EIGENVALUES OUTSIDE THE SUPPORT OF THE LIMITING SPECTRAL DISTRIBUTION OF INFORMATION-PLUS-NOISE TYPE MATRICES

*Random Matrices: Theory and Applications*, *01*(01), 1150004.

author keywords: Empirical spectral distribution; Stieltjes transform; information-plus-noise model

Sources: Crossref, ORCID

Added: August 24, 2020

2011 journal article

A Deterministic Equivalent for the Analysis of Correlated MIMO Multiple Access Channels

*IEEE Transactions on Information Theory*, *57*(6), 3493–3514.

Sources: Web Of Science, ORCID, Crossref

Added: August 6, 2018

2011 article

Eigen-Inference for Energy Estimation of Multiple Sources

Couillet, R., Silverstein, J. W., Bai, Z., & Debbah, M. (2011, April). *IEEE TRANSACTIONS ON INFORMATION THEORY*, Vol. 57, pp. 2420–2439.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2011 chapter

Random Matrix Theory

In *International Encyclopedia of Statistical Science* (pp. 1168–1170).

Sources: Crossref, ORCID

Added: August 24, 2020

2010 conference paper

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.

Event: 2010 IEEE International Symposium on Information Theory - ISIT

Sources: Crossref, ORCID

Added: August 24, 2020

2010 journal article

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.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2010 book

Spectral Analysis of Large Dimensional Random Matrices

(2nd ed.). New York: Springer.

Sources: NC State University Libraries, ORCID

Added: October 29, 2020

2009 conference paper

Asymptotic capacity of multi-user MIMO communications

*2009 IEEE Information Theory Workshop*. Presented at the 2009 IEEE Information Theory Workshop (ITW 2009).

Event: 2009 IEEE Information Theory Workshop (ITW 2009)

Sources: Crossref, ORCID

Added: August 24, 2020

2009 journal article

No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix

*JOURNAL OF MULTIVARIATE ANALYSIS*, *100*(1), 37–57.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2009 conference paper

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).

Event: 2009 IEEE/SP 15th Workshop on Statistical Signal Processing (SSP)

Sources: Crossref, ORCID

Added: August 24, 2020

2009 chapter

THE STIELTJES TRANSFORM AND ITS ROLE IN EIGENVALUE BEHAVIOR OF LARGE DIMENSIONAL RANDOM MATRICES

In *Random Matrix Theory and Its Applications* (pp. 1–25).

Sources: Crossref, ORCID

Added: August 24, 2020

2007 journal article

Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices

*JOURNAL OF MULTIVARIATE ANALYSIS*, *98*(6), 1099–1122.

author keywords: random matrix; empirical distribution function of eigenvalues; Stieltjes transform

Sources: Web Of Science, ORCID

Added: August 6, 2018

2007 conference paper

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).

Event: 2007 41st Asilomar conference on Signals, Systems and Computers (ACSSC)

Sources: Crossref, ORCID

Added: August 25, 2020

2007 journal article

On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices

*JOURNAL OF MULTIVARIATE ANALYSIS*, *98*(4), 678–694.

author keywords: random matrix; empirical distribution function of eigenvalues; Stieltjes transform

Sources: Web Of Science, ORCID

Added: August 6, 2018

2007 journal article

On the signal-to-interference ratio of CDMA systems in wireless communications

*ANNALS OF APPLIED PROBABILITY*, *17*(1), 81–101.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2006 journal article

Eigenvalues of large sample covariance matrices of spiked population models

*JOURNAL OF MULTIVARIATE ANALYSIS*, *97*(6), 1382–1408.

Sources: Web Of Science, ORCID

Added: August 6, 2018

2006 journal article

Gaussian fluctuations for non-Hermitian random matrix ensembles

*ANNALS OF PROBABILITY*, *34*(6), 2118–2143.

author keywords: random matrix theory; central limit theorem; spectral statistics

Sources: Web Of Science, ORCID

Added: August 6, 2018

2006 book

Spectral Analysis of Large Dimensional Random Matrices

(1st ed.). New York / Beijing: Springer / Science Press.

Sources: NC State University Libraries, ORCID

Added: October 29, 2020

2006 conference paper

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.

Event: 2006 IEEE Ninth International Symposium on Spread Spectrum Techniques and Applications

Sources: Crossref, ORCID

Added: August 25, 2020

2004 journal article

CLT for linear spectral statistics of large-dimensional sample covariance matrices

*Annals of Probability*, *32*(1A), 553–605.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

1999 journal article

Exact separation of eigenvalues of large dimensional sample covariance matrices

*Annals of Probability*, *27*(3), 1536–1555.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

1999 journal article

Methodologies in spectral analysis of large dimensional random matrices, a review - Comment: Complements and new developments

*Statistica Sinica*, *9*(3), 667–671.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

1998 journal article

No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices

*Annals of Probability*, *26*(1), 316–345.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

1995 journal article

Analysis of the Limiting Spectral Distribution of Large Dimensional Random Matrices

*Journal of Multivariate Analysis*, *54*(2), 295–309.

author keywords: EIGENVALUES OF RANDOM MATRICES; SPECTRAL DISTRIBUTION; STIELTJES TRANSFORM

Sources: Crossref, ORCID

Added: August 25, 2020

1995 journal article

On the Empirical Distribution of Eigenvalues of a Class of Large Dimensional Random Matrices

*Journal of Multivariate Analysis*, *54*(2), 175–192.

author keywords: RANDOM MATRIX; EMPIRICAL DISTRIBUTION FUNCTION OF EIGENVALUES; STIELTJES TRANSFORM

Sources: Crossref, ORCID

Added: August 25, 2020

1995 journal article

Strong Convergence of the Empirical Distribution of Eigenvalues of Large Dimensional Random Matrices

*Journal of Multivariate Analysis*, *55*(2), 331–339.

author keywords: random matrix; empirical distribution function of eigenvalues; Stieltjes transform

Sources: Crossref, ORCID

Added: August 25, 2020

1994 journal article

The spectral radii and norms of large dimensional non-central random matrices

*Communications in Statistics. Stochastic Models*, *10*(3), 525–532.

Sources: Crossref, ORCID

Added: August 25, 2020

1992 conference paper

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.

Event: [1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing at Victoria, British Columbia, Canada on October 7-9, 1992

Sources: Crossref, ORCID

Added: August 25, 2020

1992 journal article

Signal detection via spectral theory of large dimensional random matrices

*IEEE Transactions on Signal Processing*, *40*(8), 2100–2105.

Sources: Crossref, ORCID

Added: August 29, 2019

1990 report

Spectral theory of large dimensional random matrices applied to signal detection

[Technical Report.].

Sources: NC State University Libraries, ORCID

Added: November 5, 2020

1990 journal article

Weak Convergence of Random Functions Defined by The Eigenvectors of Sample Covariance Matrices

*The Annals of Probability*, *18*(3), 1174–1194.

Sources: Crossref, ORCID

Added: August 25, 2020

1989 journal article

On the eigenvectors of large dimensional sample covariance matrices

*Journal of Multivariate Analysis*, *30*(1), 1–16.

Sources: Crossref, ORCID

Added: August 25, 2020

1989 journal article

On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix

*Journal of Multivariate Analysis*, *30*(2), 307–311.

Sources: Crossref, ORCID

Added: October 29, 2020

1988 journal article

A note on the largest eigenvalue of a large dimensional sample covariance matrix

*Journal of Multivariate Analysis*, *26*(2), 166–168.

Sources: Crossref, ORCID

Added: October 29, 2020

1986 journal article

Eigenvalues and eigenvectors of large-dimensional sample covariance matrices

*Random Matrices and Their Applications*, *50*, 153–159.

Sources: Crossref, ORCID

Added: October 29, 2020

1985 journal article

The Limiting Eigenvalue Distribution of a Multivariate F Matrix

*SIAM Journal on Mathematical Analysis*, *16*(3), 641–646.

Sources: Crossref, ORCID

Added: October 29, 2020

1985 journal article

The Smallest Eigenvalue of a Large Dimensional Wishart Matrix

*The Annals of Probability*, *13*(4), 1364–1368.

Sources: Crossref, ORCID

Added: October 29, 2020

1984 journal article

Comments on a result of Yin, Bai, and Krishnaiah for large dimensional multivariate F matrices

*Journal of Multivariate Analysis*, *15*(3), 408–409.

Sources: Crossref, ORCID

Added: October 29, 2020

1984 report

On Limit of the Largest Eigenvalue of the Large Dimensional Sample Covariance Matrix.

Sources: Crossref, ORCID

Added: October 29, 2020

1984 journal article

Some limit theorems on the eigenvectors of large dimensional sample covariance matrices

*Journal of Multivariate Analysis*, *15*(3), 295–324.

Sources: Crossref, ORCID

Added: October 29, 2020

1981 journal article

A nonlinear system with singular vector field near equilibria

*Applicable Analysis*, *12*(1), 57–71.

Sources: Crossref, ORCID

Added: August 31, 2020

1981 journal article

Describing the Behavior of Eigenvectors of Random Matrices Using Sequences of Measures on Orthogonal Groups

*SIAM Journal on Mathematical Analysis*, *12*(2), 274–281.

Sources: Crossref, ORCID

Added: October 29, 2020

1979 journal article

On the Randomness of Eigenvectors Generated from Networks with Random Topologies

*SIAM Journal on Applied Mathematics*, *37*(2), 235–245.

Sources: Crossref, ORCID

Added: October 29, 2020

1978 report

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.

Sources: NC State University Libraries, ORCID

Added: October 29, 2020

1978 report

Public key cryptosystems: an elementary overview

In *Confidentiality in Surveys* (Report No. 29). Stockholm, Sweden: Department of Statistics, University of Stockholm.

Sources: NC State University Libraries, ORCID

Added: August 25, 2020

1978 journal article

Reply to Grossberg.

*Psychological Review*, *85*(6), 597–603.

Sources: Crossref, ORCID

Added: October 29, 2020

1977 journal article

Distinctive features, categorical perception, and probability learning: Some applications of a neural model.

*Psychological Review*, *84*(5), 413–451.

Sources: Crossref, ORCID

Added: October 29, 2020

1977 journal article

Spectral Analysis of Networks with Random Topologies

*SIAM Journal on Applied Mathematics*, *32*(2), 499–519.

Sources: Crossref, ORCID

Added: October 29, 2020

1977 report

Stability analysis and correction of pathological behavior of neural networks

(Pattern Analysis Report No. 48). Providence, Rhode Island: Division of Applied Mathematics, Brown University.

Sources: NC State University Libraries, ORCID

Added: October 29, 2020

1977 conference paper

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.

Event: IEEE International Conference on Acoustics, Speech, and Signal Processing

Sources: Crossref, ORCID

Added: October 29, 2020

1976 journal article

Asymptotics applied to a neural network

*Biological Cybernetics*, *22*(2), 73–84.

Sources: Crossref, ORCID

Added: October 29, 2020

1976 journal article

Preprocessing with a simple neural model

*Neuroscience Abstracts*, *2*(618), 438.

Sources: NC State University Libraries, ORCID

Added: October 29, 2020

report

Comments on ‘A Unitary Transformation Method for Angle-of-Arrival Estimation’

Combettes, P. L., & Silverstein, J. [Technical Report].

Source: NC State University Libraries

Added: August 25, 2020

report

Comments on ‘A Unitary Transformation Method for Angle-of-Arrival Estimation’

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

Source: ORCID

Added: November 6, 2020

report

On the rectification of covariance matrices

Combettes, P. L., & Silverstein, J. [Technical Report].

Source: NC State University Libraries

Added: August 25, 2020

report

On the rectification of covariance matrices

Combettes, P. L., & Silverstein, J.

Source: ORCID

Added: November 6, 2020

Updated: July 17th, 2020 18:46

1978 - present

1975 - 1978

Updated: July 17th, 2020 18:47

1971 - 1975

1967 - 1971

Funding history based on the linked ORCID record. Updated: November 6th, 2020 07:43

grant
June 1, 2009 - May 1, 2012

Spiked Models of Large Dimensional Random Matrices Applied to Wireless Communications and Array Signal Processing

Army Research Office

grant
June 1, 2005 - May 1, 2009

Eigenvalues of Large Dimensional Random Matrices in Wireless Communications and Array Signal Processing

Army Research Office

grant
July 15, 1997 - June 30, 2001

Spectral Behavior of Two Classes of Large Dimensional Random Matrices

Directorate for Mathematical & Physical Sciences

grant
July 1, 1994 - June 30, 1997

Spectral Theory of Large Dimensional Random Matrices and Its Applications

Directorate for Mathematical & Physical Sciences

grant
June 15, 1989 - May 31, 1993

Mathematical Sciences: The Spectral Behavior of Large Dimensional Random Matrices Applied to Signal Processing

Directorate for Mathematical & Physical Sciences

grant
June 1, 1986 - May 31, 1989

Mathematical Sciences: The Behavior of Eigenvectors of LargeDimensional Sample Covariance Matrices

Directorate for Mathematical & Physical Sciences

grant
June 1, 1983 - May 1, 1985

An Invariance Principle on the Eigenvectors of Large Dimensional Sample Covariance Matrices

Directorate for Mathematical and Physical Sciences

grant
June 1, 1981 - May 30, 1982

Describing the Behavior of Eigenvectors of Large Dimensional Random Matrices

Directorate for Mathematical & Physical Sciences