Featured Articles
A Random Matrix Approach to Neural Networks. [article] This
article introduces a new approach to analyze the performance
of large dimensional neural networks by means of random matrix
theory. In this first step towards a deeper understanding of
involved neural networks, we consider a single layer extreme
learning machine and prove the convergence of its performance
as the dataset and number of neurons grow simultanesouly
large. The landmark technical result is to alleviate the
non-linearity of the induced random matrix model by the
exploitation of new concentration of measure arguments.
Kernel Spectral Clustering of Large Dimensional Data.
[article]
This article provides a first analysis of kernel spectral
clustering methods for a mixture of Gaussian data inputs. It
is shown here that, for large dimensional datasets, the
spectral clustering performance relates to the properties of
the isolated eigenvectors in a spiked random matrix models.
Through toy examples, we provide in particular a better
understanding of the role of the kernel function. Applications
to real (non Gaussian) datasets also illustrate a strong
proximity between theory and practice.
Spectral community detection in heterogeneous large
networks. [preprint]
This article proposes a new community detection algorithm for
realistic heterogeneous graphs based on the degree-corrected
stochastic block model. The proposed algorithm generalizes
several classical spectral methods by the addition of a
parameter that can be optimally selected from the degrees of
the graph, and is proved to be asymptotically optimal among
this class of estimators.
The Random Matrix Regime of Maronna's M-estimator with
elliptically distributed samples. [article] In
this article, we provide a first bridge between the theories
of robust estimation and random matrices. We
show in particular that the eigenvalue distribution of a
family of M-estimators of population covariance matrices has
the same first order behavior as a classical random matrix
model. This entails important results such as the natural
extension of random matrix-based detection and estimation
methods, e.g. spectrum-based source detection and power
inference, the G-MUSIC algorithm for DoA estimation, etc.
Publications
Journals
- M. Tiomoko, R. Couillet, H. Tiomoko, "Large Dimensional Analysis and Improvement of Multi Task Learning", (submitted to) Journal of Machine Learning Research, 2020. [article]
- C. Louart, R. Couillet, "A Concentration of Measure Approach to Large Dimensional Robust Statistics", (submitted to) Annals of Applied Probability, 2020. [article]
- K. Elkhalil, A. Kammoun, R. Couillet, T. Alnaffouri, M-S. Alouini, "A Large Dimensional Study of Regularized Discriminant Analysis", IEEE Transactions on Signal Processing, vol. 68, no. 1, pp. 2464-2479, 2020. [article]
- L. Dall'Amico, R. Couillet, N. Tremblay, "A unified framework for spectral clustering in sparse graphs", (submitted to) Journal of Machine Learning Research, 2020. [preprint]
- C. Louart, R. Couillet, "Concentration of Measure and Large Random Matrices with an application to Sample Covariance Matrices", (submitted to) Random Matrix Theory and Applications, 2019. [preprint]
- X. Mai, R. Couillet, "Consistent Semi-Supervised Graph Regularization for High Dimensional Data", (under revision) Journal of Machine Learning Research, 2019. [preprint]
- R. Couillet, M. Tiomoko, S. Zozor, E. Moisan, "Random matrix-improved estimation of covariance matrix distances", Journal of Multivariate Analysis, no. 174, pp. 104531, 2019. [article]
- X. Mai, R. Couillet, "A Random Matrix Analysis and Improvement of Semi-Supervised Learning for Large Dimensional Data", Journal of Machine Learning Research, vol. 19, no. 79, pp. 1-27, 2018. [article]
- A. Kammoun, R. Couillet, "Subspace Kernel Clustering of Large Dimensional Data", (submitted to) Annals of Applied Probability, 2017. [preprint]
- L. Yang, M. McKay, R. Couillet, "High-Dimensional MVDR Beamforming: Optimized Solutions based on Spiked Random Matrix Models", IEEE Transactions on Signal Processing, vol. 66, no. 7, pp. 1933-1947, 2018. [preprint]
- N. Auguin, D. Morales, M. McKay, R. Couillet, "Large-dimensional
behavior of regularized Maronna's M-estimators of covariance
matrices", IEEE Transactions on Signal
Processing, vol. 66, no. 13, pp. 3529--3542, 2018. [preprint]
- C. Louart, Z. Liao, R. Couillet, "A Random Matrix
Approach to Neural Networks", The Annals of
Applied Probability, vol. 28, no. 2, pp. 1190-1248, 2018. [article]
- A. Karadimitrakis, A. L. Moustakas, R. Couillet, "Gallager
Bound for MIMO Channels: Large-N Asymptotics", IEEE
Transactions on Wireless Communications, vol. 17, no. 2, pp.
1323-1330, 2018. [article]
- Z. Liao, R. Couillet, "A Large Dimensional Analysis of
Least Squares Support Vector Machines",
IEEE Transactions on Signal Processing, vol. 67, no.4, pp. 1065-1074, 2018. [preprint]
- H. Tiomoko Ali, R. Couillet, "Improved spectral community
detection in large heterogeneous networks", Journal of Machine Learning Research, vol. 18, no. 225, pp. 1-49, 2018. [preprint]
- R. Couillet, M. McKay, "Optimal block-sparse PCA for
high dimensional correlated samples", TECHNICAL REPORT. [report]
- R. Couillet, G. Wainrib, H. Sevi, H. Tiomoko Ali, "The
asymptotic performance of linear echo state neural networks",
Journal of Machine Learning Research, vol. 17, no. 178, pp.
1-35, 2016. [article]
- R. Couillet, F. Benaych-Georges, "Kernel Spectral
Clustering of Large Dimensional Data", Electronic
Journal of Statistics, vol. 10, no. 1, pp. 1393-1454, 2016. [article]
- F. Benaych-Georges, R. Couillet, "Spectral Analysis of
the Gram Matrix of Mixture Models", ESAIM: Probability
and Statistics, DOI http://dx.doi.org/10.1051/ps/2016007,
2016. [article]
- R. Couillet, "Estimation robuste et matrices aléatoires",
Revue Traitement du Signal, vol. 33, no. 2-3, pp. 273-320,
2016. [article]
- R. Couillet, G. Wainrib, "Perspectives en matrices
aléatoires et grands réseaux", Revue Traitement du
Signal, vol. 33, no. 2-3, pp. 351-376, 2016. [article]
- M. Sadeghi, L. Sanguinetti, R. Couillet, Y. Chau, "Large
System Analysis of Power Normalization Techniques in Massive
MIMO" IEEE Transactions on Vehicular
Technologies, vol. 66, no. 10, pp. 9005--9017, 2017. [article]
- M. Sadeghi, L. Sanguinetti, R. Couillet, Y. Chau, "Reducing
the Computational Complexity of Multicasting in Large-Scale
Antenna Systems" IEEE Transactions on
Wireless Communications, vol. 16, no. 5, pp. 2963--2975, 2017. [article]
- L. Sanguinetti, R. Couillet, M. Debbah, "Large System
Analysis of Base Station Cooperation for Power Minimization",
IEEE Transactions on Wireless Communications, vol. 15, no. 8,
pp. 5480-5496, 2016. [article]
- A. Abboud, F. Iutzeler, R. Couillet, H. Siguerdidjane, M.
Debbah, "Distributed Production-Sharing Optimization and
Application to Power Grid Networks", IEEE Transactions
on Signal and Information Processing over Networks, no. 1,
vol. 2, pp. 16-28, 2016. [article]
- A. Kammoun, R. Couillet, F. Pascal, M.-S. Alouini, "Optimal
Design of the Adaptive Normalized Matched Filter Detector
using Regularized Tyler Estimators", IEEE
Transactions on Aerospace and Electronic Systems, vol. 54, no. 2, pp. 755--769, 2018. [article]
- A. Kammoun, R. Couillet, F. Pascal, M.-S. Alouini, "Convergence
and Fluctuations of Regularized Tyler Estimators", IEEE
Transactions on Signal Processing, vol. 64, no. 4, pp.
1048-1060, 2016. [article]
- D. Morales-Jimenez, R. Couillet, M. McKay, "Large
Dimensional Analysis of Robust M-Estimators of Covariance
with Outliers", IEEE Transactions on Signal Processing,
vol. 63, no. 21, pp. 5784-5797, 2015. [article]
- L. Yang, R. Couillet, M. McKay, "A Robust Statistics
Approach to Minimum Variance Portfolio Optimization",
IEEE Transactions on Signal Processing, vol. 63, no. 24, pp.
6684--6697, 2015. [article]
- R. Couillet, A. Kammoun, F. Pascal, "Second order
statistics of robust estimators of scatter. Application to
GLRT detection for elliptical signals", Elsevier Journal
of Multivariate Analysis, vol. 143, pp. 249-274, 2016 [article]
- A. Müller, R. Couillet, E. Bjornson, S. Wagner, M. Debbah, "Interference-Aware
RZF Precoding for Multi-Cell Downlink Systems", IEEE
Transactions on Signal Processing, vol. 63, no. 15, pp.
3959-3973, 2015. [article]
- R. Couillet, "Robust spiked random matrices and a robust
G-MUSIC estimator", Elsevier Journal of Multivariate
Analysis, vol. 140, pp. 139-161, 2015. [article]
- R. Couillet, M. McKay, "Large Dimensional Analysis and
Optimization of Robust Shrinkage Covariance Matrix
Estimators", Elsevier Journal of Multivariate Analysis,
vol. 131, pp. 99-120, 2014. [article]
- Y. Chitour, R. Couillet, F. Pascal, "On the convergence
of Maronna's M-estimators of scatter", IEEE Signal
Processing Letters, vol. 22, no. 6, pp. 709-712, 2014. [article]
- R. Couillet, F. Pascal, J. W. Silverstein, "The Random
Matrix Regime of Maronna's M-estimator with elliptically
distributed samples", Elsevier Journal of Multivariate
Analysis, vol. 139, pp. 56-78, 2015. [article]
- J. Vinogradova, R. Couillet, W. Hachem, "Estimation of
Toeplitz covariance matrices in large dimensional regime
with application to source detection large", IEEE
Transactions on Signal Processing, vol. 63, no. 18, pp.
4903-4913, 2015. [article]
- W. Hachem, R. Couillet, "Analysis of the limiting
spectral measure of large random matrices of the separable
covariance type", Random Matrix Theory and Applications,
vol. 3, pp. 1-23, 2014. [article]
- J. Hoydis, R. Couillet, P. Piantanida, "The Second-Order
Coding Rate of the MIMO Quasi-Static Rayleigh Fading
Channel", IEEE Transactions on Information Theory, vol.
61, no. 12, 2015. [article]
- J. Vinogradova, R. Couillet, W. Hachem, "Statistical
Inference in Large Antenna Arrays under Unknown Noise
Pattern", IEEE Transactions on Signal Processing, vol.
61, no. 22, pp. 5633-5645, 2013. [article]
- F. Chapon, R. Couillet, W. Hachem, X. Mestre, "The
outliers among the singular values of large rectangular
random matrices with additive fixed rank deformation",
Markov Processes and Related Fields, vol. 20, pp. 183-228,
2014. [article]
- R. Couillet, F. Pascal, J. W. Silverstein, "Robust
Estimates of Covariance Matrices in the Large Dimensional
Regime", IEEE Transactions on Information Theory, vol.
60, no. 11, pp. 7269-7278, 2014. [article]
- G. Geraci, R. Couillet, J. Yuan, M. Debbah, I. B. Collings,
"Large System Analysis of Linear Precoding in MISO
Broadcast Channels with Confidential Messages", IEEE
Journal on Selected Area in Communications, vol. 31, no. 9,
pp. 1660-1671, 2013.. Second prize of the 2012-2013 IEEE
Australia Council Student Paper Contest [article]
- J. Hoydis, R. Couillet, M. Debbah, "Iterative
Deterministic Equivalents for the Capacity Analysis of
Communication Systems", Technical Report. [article]
- J. Yao, R. Couillet, J. Najim, M. Debbah, "Fluctuations
of an Improved Population Eigenvalue Estimator in Sample
Covariance Matrix Models", IEEE Transactions on
Information Theory, vol. 59, no. 2, pp. 1149-1163, 2013. [article]
- A. Kammoun, R. Couillet, J. Najim, M. Debbah, "Performance
of Mutual Information Inference Methods under Unknown
Interference", IEEE Transactions on Information Theory,
vol. 59, no. 2, pp. 1129-1148, 2013. [article]
- R. Couillet, W. Hachem, "Fluctuations of spiked random
matrix models and failure diagnosis in sensor networks",
IEEE Transactions on Information Theory, vol. 59, no. 1, pp.
509-525, 2013. [article]
- R. Couillet, M. Debbah, "Signal Processing in Large
Systems: a New Paradigm", IEEE Signal Processing
Magazine, vol. 30, no. 1, pp. 24-39, 2013 [article]
- S. Wagner, R. Couillet, M. Debbah, D. T. M. Slock, "Large
System Analysis of Linear Precoding in Correlated MISO
Broadcast Channels under Limited Feedback", IEEE
Transactions on Information Theory, vol. 58, no. 7, pp.
4509-4537, 2012 [article]
- R. Couillet, S. Medina Perlaza, H. Tembine, M. Debbah, "Electric
vehicles in the smart grid: A mean field game analysis",
IEEE Journal on Selected Areas in Communications: Smart Grid
Communications Series, vol. 30, no. 6, pp. 1086-1096, 2012. [article]
- R. Couillet, J. Hoydis, M. Debbah, "Random Beamforming
over Quasi-Static and Fading Channels: A Deterministic
Equivalent Approach", IEEE Transactions on Information
Theory, vol. 58 , no. 10, pp. 6392-6425, 2012. [article]
- R. Couillet, J. W. Silverstein, Z. Bai, M. Debbah, "Eigen-Inference
for Energy Estimation of Multiple Sources", IEEE
Transactions on Information Theory, vol. 57, no. 4, pp.
2420-2439, 2011. [article]
- R. Couillet, M. Debbah, "A Bayesian Framework for
Collaborative Multi-Source Signal Sensing", IEEE
Transactions on Signal Processing, vol. 58, no. 10, pp.
5186-5195, 2010, arXiv Preprint 0811.0764. [article]
- R. Couillet, M. Debbah, J. W. Silverstein, "A
Deterministic Equivalent for the Analysis of Correlated MIMO
Multiple Access Channels", IEEE Transactions on
Information Theory, vol. 57, no. 6, pp. 3493-3514, 2011. [article]
- R. Couillet, A. Ancora, M. Debbah, "Bayesian Foundations
of Channel Estimation for Cognitive Radios", Advances in
Electronics and Telecommunications, vol. 1, no. 1, pp. 41-49,
2010. [article]
- R. Couillet, M. Debbah, "Le téléphone du futur : plus
intelligent pour une exploitation optimale des fréquences",
Revue de l'Electricité et de l'Electronique, no. 6, pp. 71-83,
2010. [article]
- R. Couillet, M. Debbah, "Mathematical foundations of
cognitive radios", Journal of Telecommunications and
Information Technologies, no. 4, 2009. [article]
- R. Couillet, M. Debbah, "Outage performance of flexible
OFDM schemes in packet-switched transmissions", Eurasip
Journal on Advances on Signal Processing, Volume 2009, Article
ID 698417, 2009. [article]
Conferences
- R. Couillet, Y. Cinar, E. Gaussier, M. Imran, "Word Representations Concentrate and This is Good News!",
[article]
- M. Seddik, R. Couillet, M. Tamaazousti, "A Random Matrix Analysis of Learning with α-Dropout", International Conference on Machine Learning (ICML'20), Artemiss workshop, Graz, Autria, 2020. [article]
- L. Dall'Amico, R. Couillet, N. Tremblay, "Community detection in sparse time-evolving graphs with a dynamical Bethe-Hessian", (submitted to) Conference on Neural Information Processing Systems (NeurIPS'20), Vacouver, Canada, 2020. [article]
- M. Seddik, C. Louart, R. Couillet, M. Tamaazousti, "The Unexpected Deterministic and Universal Behavior of Large Softmax Classifiers", (submitted to) Conference on Neural Information Processing Systems (NeurIPS'20), Vacouver, Canada, 2020. [article]
- Z. Liao, R. Couillet, M. Mahoney, "Exact Asymptotics of High Dimensional Random Fourier Features: Beyond Gaussian Kernel and a Data-distribution Free Double Descent", (submitted to) Conference on Neural Information Processing Systems (NeurIPS'20), Vacouver, Canada, 2020. [article]
- T. Zarrouk, R. Couillet, F. Chatelain, N. Le Bihan, "Performance-Complexity Trade-Off in Large Dimensional Statistics", International Workshop on Machine Learning for Signal Processing (MLSP'20), Espoo, Finland, 2020. [article]
- M. Seddik, R. Couillet, M. Tamaazousti, "Random Matrix Theory Proves that Deep Learning Representations of GAN-data Behave as Gaussian Mixtures", International Conference on Machine Learning (ICML'20), Graz, Autria, 2020. [article]
- M. Tiomoko, H. Tiomoko, R. Couillet, "Deciphering and Optimizing Multi-Task and Transfer Learning: a Random Matrix Approach", (submitted to) Conference on Neural Information Processing Systems (NeurIPS'20), Vacouver, Canada, 2020. [article]
- L. Dall'Amico, R. Couillet, N. Tremblay, "Optimal Laplacian Regularization for Sparse Spectral Community Detection", IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'20), Barcelona, Spain, 2020. [article|video]
- M. Tiomoko, C. Louart, R. Couillet, "Large Dimensional Asymptotics of Multi-Task Learning", IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'20), Barcelona, Spain, 2020. [article]
- L. Dall'Amico, N. Tremblay, R. Couillet, "Optimized Deformed Laplacian for Spectrum-based Community Detection in Sparse Heterogeneous Graphs", Neural Information Processing Systems (NeurIPS'19), Vancouver, Canada, 2019. [article]
- Z. Liao, R. Couillet, "On Inner-product Kernels of High Dimensional Data", IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP'19), Guadeloupe, France, 2019. [article]
- R. Couillet, "High Dimensional Robust Classification: A Random Matrix Analysis", IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP'19), Guadeloupe, France, 2019. [article]
- R. Couillet, "A Random Matrix Analysis and Optimization Framework to Large Dimensional Transfer Learning", IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP'19), Guadeloupe, France, 2019. [article]
- C. Louart, R. Couillet, "A concentration of measure perspective to robust statistics", IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP'19), Guadeloupe, France, 2019. [article]
- A. Kadavankandy, R. Couillet, "Asymptotic Gaussian Fluctuations of Spectral Clustering Eigenvectors", IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP'19), Guadeloupe, France, 2019. [article]
- M. Tiomoko, R. Couillet, "Estimation of Covariance Matrix Distances in the High Dimension Low Sample Size Regime", IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP'19), Guadeloupe, France, 2019. [article]
- M. Tiomoko, R. Couillet, "Random Matrix-Improved Estimation of the Wasserstein Distance between two Centered Gaussian Distributions", European Signal Processing Conference (EUSIPCO'19), A Coruna, Spain, 2019, BEST STUDENT PAPER AWARD. [preprint]
- M. Tiomoko, F. Bouchard, G. Ginholac, R. Couillet, "Random Matrix Improved Covariance Estimation for a Large Class of Metrics", International Conference on Machine Learning (ICML'19), Long Beach, USA, 2019. [article]
- M. Seddik, M. Tamaazousti, R. Couillet, "Kernel Random Matrices of Large Concentrated Data: The Example of GAN-Generated Image", IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'19), Brighton, UK, 2019. [article]
- L. Dall'Amico, R. Couillet, "Community Detection in Sparse Realistic Graphs: Improving the Bethe Hessian", IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'19), Brighton, UK, 2019. [article]
- X. Mai, R. Couillet, "Revisiting and Improving Semi-Supervised Learning: A Large Dimensional Approach", IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'19), Brighton, UK, 2019. [article]
- H. Tiomoko, S. Liu, Y. Yilmaz, R. Couillet, I. Rajapakse, A. Hero, "Latent Heterogeneous Multilayer Community Detection", IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'19), Brighton, UK, 2019. [preprint]
- X. Mai, Z. Liao, R. Couillet, "A Large n,p Analysis of Logistic Regression: Asymptotic Performance and New Insights", IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'19), Brighton, UK, 2019. [preprint]
- M. Tiomoko, R. Couillet, S. Zozor, E. Moisan, "Improved Estimation of the Distance between Covariance Matrices", IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'19), Brighton, UK, 2019. [preprint]
- R. Couillet, Z. Liao, X. Mai, "Classification Asymptotics in the Random Matrix Regime", European Signal Processing Conference (EUSIPCO'18), Rome, Italy, 2018. [article]
- M. Seddik, M. Tamaazousti, R. Couillet, "A Kernel Random
Matrix-Based Approach for Sparse PCA", International Conference on Learning Representations (ICLR'19), New Orleans, USA, 2019. [article]
- X. Mai, R. Couillet, "Semi-Supervised Spectral
Clustering", Asilomar Conference on Signals, Systems,
and Computers, Pacific Grove, CA, USA, 2018. [article]
- Z. Liao, R. Couillet, "The Dynamics of Learning: A
Random Matrix Approach", International
Conference on Machine Learning (ICML'18), Stockholm, Sweden, 2018. [article]
- Z. Liao, R. Couillet, "On the Spectrum of Random
Features Maps of High Dimensional Data",
International Conference on Machine Learning (ICML'18), Stockholm,
Sweden, 2018. [article]
- H. Tiomoko Ali, A. Kammoun, R. Couillet "Random
matrix-improved kernels for large dimensional spectral
clustering", Statistical Signal Processing Workshop
(SSP'18), Freiburg, Germany, 2018. [article]
- L. Yang, M. R. McKay, R. Couillet "Random
Matrix-Optimized High-Dimensional MVDR Beamforming",
Statistical Signal Processing Workshop (SSP'18), Freiburg,
Germany, 2018. [article]
- C. Louart, R. Couillet, "A Random Matrix and
Concentration Inequalities Framework for Neural Networks
Analysis", IEEE International Conference
on Acoustics, Speech and Signal Processing (ICASSP'18),
Calgary, Canada, 2018. [article]
- H. Tiomoko Ali, A. Kammoun, R. Couillet, Random Matrix
Asymptotics of Inner Product Spectral Clustering",,
IEEE International Conference on Acoustics,
Speech and Signal Processing (ICASSP'18), Calgary, Canada,
2018. [article]
- K. Elkhalil, A. Kammoun, R. Couillet, T. Al-Naffouri, M.-S.
Alouini, Asymptotic Performance of Regularized Quadratic
Discriminant Analysis Based Classifiers, IEEE
International Workshop on Machine Learning for Signal
Processing (MLSP'17), Roppongi, Tokyo, Japan, 2017. [article]
- Z. Liao, R. Couillet, "Random matrices meet machine
learning: a large dimensional analysis of LS-SVM", IEEE
International Conference on Acoustics, Speech and Signal
Processing (ICASSP'17), New Orleans, USA, 2017. [article]
- X. Mai, R. Couillet, "The counterintuitive mechanism of
graph-based semi-supervised learning in the big data regime",
IEEE International Conference on Acoustics, Speech and Signal
Processing (ICASSP'17), New Orleans, USA, 2017. [article]
- C. Louart, R. Couillet, "Harnessing neural networks: a
random matrix approach", IEEE International Conference
on Acoustics, Speech and Signal Processing (ICASSP'17), New
Orleans, USA, 2017. [article]
- H. Tiomoko Ali, R. Couillet, "Random Matrix Improved
Community Detection in Heterogeneous Networks", Asilomar
Conference on Signals, Systems, and Computers, Pacific Grove,
CA, USA, 2016. [article]
- R. Couillet, A. Kammoun, "Random Matrix Improved
Subspace Clustering", Asilomar Conference on Signals,
Systems, and Computers, Pacific Grove, CA, USA, 2016. [article]
- R. Couillet, G. Wainrib, H. Sevi, H. Tiomoko Ali, "A
Random Matrix Approach to Echo-State Neural Networks",
International Conference on Machine Learning (ICML'16), New York,
USA, 2016. [article]
- A. Kammoun, R. Couillet, F. Pascal, M. Slim-Alouini, "Optimal
Design of Adaptive Normalized Matched Filter For Large
Antenna Arrays", IEEE Statistical Signal Processing
Workshop (SSP), Palma de Majorca, Spain, 2016. [article]
- N. Auguin, D. Morales, M. R. McKay, R. Couillet, "Robust
Shrinkage M-estimators of Large Covariance Matrices",
IEEE Statistical Signal Processing Workshop (SSP), Palma de
Majorca, Spain, 2016. [article]
- R. Couillet, G. Wainrib, H. Sevi, H. Tiomoko Ali, "Training
performance of echo state neural networks", IEEE
Statistical Signal Processing Workshop (SSP), Palma de
Majorca, Spain, 2016. [article]
- H. Tiomoko Ali, R. Couillet, "Performance analysis of
spectral community detection in realistic graph models",
IEEE International Conference on Acoustics, Speech and Signal
Processing (ICASSP'16), Shangai, China, 2016. [article]
- R. Couillet, F. Benaych-Georges, "Understanding Big Data
Spectral Clustering", IEEE International Workshop on
Computational Advances in Multi-Sensor Adaptive Processing
(CAMSAP'15), Cancun, Mexico, 2015. [article]
- M. Sadeghi, L. Sanguinetti, R. Couillet, Y. Chau, "Power
Normalization in Massive MIMO Systems: How to Scale Down the
Number of Antennas", IEEE International Conference on
Communications, Kuala-Lumpur, Malaysia, 2016. [article]
- L. Yang, R. Couillet, M. R. McKay, "Minimum Variance
Portfolio Optimization in the Spiked Covariance Model",
IEEE International Workshop on Computational Advances in
Multi-Sensor Adaptive Processing (CAMSAP), Cancun, Mexico,
2015. [article]
- L. Sanguinetti, R. Couillet, M. Debbah, "Base Station
Cooperation for Power Minimization in the Downlink: Large
System Analysis", IEEE Global Communications Conference
(GLOBECOM'15), San Diego, USA, 2015. [article]
- R. Couillet, M. S. Greco, J-P. Ovarlez, F. Pascal, "RMT
for Whitening Space Correlation and Applications to Radar
Detection", IEEE International Workshop on Computational
Advances in Multi-Sensor Adaptive Processing (CAMSAP'15),
Cancun, Mexico, 2015. [article]
- D. Morales-Jimenez, R. Couillet, M. McKay, "Large
dimensional analysis of Maronna’s M-estimator with outliers",
IEEE International Conference on Acoustics, Speech and Signal
Processing (ICASSP'15), Brisbane, Australia, 2015. [article]
- A. Kammoun, R. Couillet, F. Pascal, "Second order
statistics of bilinear forms of robust scatter estimators",
IEEE International Conference on Acoustics, Speech and Signal
Processing (ICASSP'15), Brisbane, Australia, 2015. [article]
- G. Katz, P. Piantanida, R. Couillet, "Joint Estimation
and Detection Against Independence", Fifty-second
Allerton Conference on Communication, Control, and Computing,
Allerton, IL, USA, 2014. [article]
- R. Couillet, M. McKay, "Robust covariance estimation and
linear shrinkage in the large dimensional regime", IEEE
International Workshop on Machine Learning for Signal
Processing (MLSP'14), Reims, France, 2014. [article]
- L. Yang, R. Couillet, M. McKay, "Minimum variance
portfolio optimization with robust shrinkage covariance
estimation", Asilomar Conference on Signals, Systems,
and Computers, Pacific Grove, CA, USA, 2014. [article]
- P. Vallet, X. Mestre, Ph. Loubaton, R. Couillet, "Asymptotic
analysis of Beamspace-MUSIC in the context of large arrays",
IEEE Sensor Array and Multichannel Signal Processing Workshop
(SAM'14), A Coruna, Spain, 2014. [article]
- R. Couillet, A. Kammoun, "Robust G-MUSIC", European
Signal Processing Conference (EUSIPCO'14), Lisbon, Portugal,
2014. [article]
- J. Vinogradova, R. Couillet, W. Hachem, "Estimation of
Large Toeplitz Covariance Matrices and Application to Source
Detection", European Signal Processing Conference
(EUSIPCO'14), Lisbon, Portugal, 2014. [article]
- R. Couillet, F. Pascal, "Robust M-estimator of scatter
for large elliptical samples", IEEE Worshop on
Statistical Signal Processing (SSP'14), Gold Coast, Australia,
2014. [article]
- A. Abboud, R. Couillet, M. Debbah, H. Siguerdidjane, "Asynchronous
alternating direction method of multipliers applied to the
direct-current optimal power flow problem", IEEE
International Conference on Acoustics, Speech and Signal
Processing (ICASSP'14), Florence, Italy, 2014. [article]
- A. Pelletier, R. Couillet, J. Najim, "Second-Order
Analysis of the Joint SINR distribution in Rayleigh Multiple
Access and Broadcast Channels", Asilomar Conference on
Signals, Systems, and Computers, Pacific Grove, CA, USA, 2013.
[article]
- A. Müller, E. Björnson, R. Couillet, M. Debbah, "Analysis
and management of heterogeneous user mobility in large-scale
downlink systems", Asilomar Conference on Signals,
Systems, and Computers, Pacific Grove, CA, USA, 2013. [article]
- J. Hoydis, R. Couillet, P. Piantanida, "Bounds on the
Second-Order Coding Rate of the MIMO Rayleigh Block-Fading
Channel", IEEE International Symposium on Information
Theory, Istanbul, Turkey, 2013. [article]
- R. Couillet, F. Pascal, J. W. Silverstein, "A Joint
Robust Estimation and Random Matrix Framework with
Application to Array Processing", IEEE International
Conference on Acoustics, Speech and Signal Processing
(ICASSP'13), Vancouver, Canada, 2013. [article]
- G. Geraci, R. Couillet, J. Yuan, M. Debbah, I. Collings,, "Secrecy
Sum-Rates with Regularized Channel Inversion Precoding under
Imperfect CSI at the Transmitter", IEEE International
Conference on Acoustics, Speech and Signal Processing
(ICASSP'13), Vancouver, Canada, 2013. [article]
- J. Vinogradova, R. Couillet, W. Hachem, "A new method
for source detection, power estimation, and localization in
large sensor networks under noise with unknown statistics",
IEEE International Conference on Acoustics, Speech and Signal
Processing (ICASSP'13), Vancouver, Canada, 2013. [article]
- M. de Mari, R. Couillet, M. Debbah, "Concurrent data
transmissions in green wireless networks: when best send
one's packets?", (Invited paper) IEEE International
Symposium on Wireless Communication Systems (ISWCS'12), Paris,
France, 2012. [article]
- A. Müller, J. Hoydis, R. Couillet, M. Debbah, "Optimal
3D Cell Planning: A Random Matrix Approach", (submitted
to) IEEE Global Communications Conference (GLOBECOM'12),
Anaheim, Caligornia, USA, 2012. [article]
- J. Hoydis, R. Couillet, P. Piantanida, M. Debbah, "A
Random Matrix Approach to the Finite Blocklength Regime of
MIMO Fading Channels", IEEE International Symposium on
Information Theory, Boston, Massachusetts, USA, 2012. [article]
- M. Rezaee, R. Couillet, M. Guillaud, G. Matz, "Sum-Rate
Optimization for the MIMO IC under Imperfect CSI: a
Deterministic Equivalent Approach", IEEE International
Workshop on Signal Processing Advances for Wireless
Communications, Cesme, Turkey, 2012. [article]
- J. Hoydis, A. Müller, R. Couillet, M. Debbah, "Analysis
of Multicell Cooperation with Random User Locations Via
Deterministic Equivalents", Eighth Workshop on Spatial
Stochastic Models for Wireless Networks, Paderborn, Germany,
2012. [article]
- A. Kammoun, M. Kharouf, R. Couillet, J. Najim, M. Debbah, "On
the fluctuations of the SINR at the output of the Wiener
filter for non centered channels: the non Gaussian case",
IEEE International Conference on Acoustics, Speech and Signal
Processing (ICASSP'12), Kyoto, Japan, 2012. [article]
- R. Couillet, P. Bianchi, J. Jakubowicz, "Decentralized
convex stochastic optimization with few constraints in large
networks", IEEE International Workshop on Computational
Advances in Multi-Sensor Adaptive Processing (CAMSAP'11), San
Juan, Puerto Rico, 2011. [article]
- R. Couillet, E. Zio, "A subspace approach to fault
diagnostics in large power systems" (Invited Paper) IEEE
International Symposium on Communications, Control, and Signal
Processing (ISCCSP'12), Rome, Italy, 2012. [article]
- R. Couillet, S. Medina Perlaza, H. Tembine, M. Debbah, "A
mean field game analysis of electric vehicles in the smart
grid", IEEE International Conference on Computer
Communications, Orlando, FL, USA, 2012. [article]
- R. Couillet, W. Hachem, "Local failure localization in
large sensor networks", Asilomar Conference on Signals,
Systems, and Computers, Pacific Grove, CA, USA, 2011. [abstract|article]
- A. Kammoun, R. Couillet, J. Najim, M. Debbah, "Performance
of fast rate adaption techniques in interference-limited
networks", IEEE Global Communications Conference,
Houston, TX, USA, 2011. [article]
- J. Hoydis, R. Couillet, M. Debbah, "Asymptotic Analysis
of Double-Scattering Channels ", Asilomar Conference on
Signals, Systems, and Computers, Pacific Grove, CA, USA, 2011.
Best student paper award finalist [article]
- R. Couillet, M. Guillaud, "Performance of Statistical
Inference Methods for the Energy Estimation of Multiple
Sources", (Invited Paper) IEEE Statistical Signal
Processing Workshop (SSP'11), Nice, France, 2011. [article]
- J. Yao, R. Couillet, J. Najim, E. Moulines, M. Debbah, "CLT
for eigen-inference methods in cognitive radios", IEEE
International Conference on Acoustics, Speech and Signal
Processing, Prague, Czech Republic, 2011. [article]
- J. Hoydis, R. Couillet, M. Debbah, "Deterministic
Equivalents for the Performance Analysis of Isometric Random
Precoded Systems", IEEE International Conference on
Communications, Kyoto, Japan, 2011. [article]
- J. Hoydis, J. Najim, R. Couillet, M. Debbah, "Fluctuations
of the Mutual Information in Large Distributed Antenna
Systems with Colored Noise", Forty-Eighth Annual
Allerton Conference on Communication, Control, and Computing,
Allerton, IL, USA, 2010. [article]
- R. Couillet, H. V. Poor, M. Debbah, "Self-organized
spectrum sharing in large MIMO multiple-access channels",
IEEE International Symposium on Information Theory, Austin TX,
USA, 2010. [article]
- R. Couillet, J. W. Silverstein, M. Debbah, "Eigen-inference
for multi-source power estimation", IEEE International
Symposium on Information Theory, Austin TX, USA, 2010. [article]
- S. Wagner, R. Couillet, D. T. M. Slock, M. Debbah, "Optimal
Training in Large TDD Multi-user Downlink Systems under
Zero-forcing and Regularized Zero-forcing Precoding",
IEEE Global Communication Conference, Miami, 2010. [article]
- S. Wagner, R. Couillet, D. T. M. Slock, M. Debbah, "Large
System Analysis of Zero-Forcing Precoding in MISO Broadcast
Channels with Limited Feedback", IEEE International
Workshop on Signal Processing Advances for Wireless
Communications, Marrakech, Morocco, 2010. [article]
- R. Couillet, M. Debbah, "Information theoretic approach
to synchronization: the OFDM carrier frequency offset
example", Advanced International Conference on
Telecommunications, Barcelona, Spain, 2010. [article]
- R. Couillet, M. Debbah, "Uplink capacity of
self-organizing clustered orthogonal CDMA networks in flat
fading channels", IEEE Information Theory Workshop
Fall'09, Taormina, Sicily, 2009. [article]
- R. Couillet, M. Debbah, J. W. Silverstein, "Asymptotic
Capacity of Multi-User MIMO Communications", IEEE
Information Theory Workshop Fall'09, Taormina, Sicily, 2009. [article]
- R. Couillet, M. Debbah, J. W. Silverstein, "Rate region
of correlated MIMO multiple access channel and broadcast
channel", IEEE Workshop on Statistical Signal
Processing, Cardiff, Wales, UK, 2009. [article]
- R. Couillet, M. Debbah, "Mathematical foundations of
cognitive radios", U.R.S.I.'09, Warsaw, Poland, 2009. [article]
- R. Couillet, M. Debbah, "A maximum entropy approach to
OFDM channel estimation", IEEE International Workshop on
Signal Processing Advances for Wireless Communications,
Perugia, Italy, 2009. [article]
- R. Couillet, M. Debbah, "Bayesian inference for multiple
antenna cognitive receivers", IEEE Wireless
Communications & Networking Conference, Budapest, Hungary,
2009. [article]
- R. Couillet, M. Debbah, "Flexible OFDM schemes for
bursty transmissions", IEEE Wireless Communications
& Networking Conference, Budapest, Hungary, 2009. [article]
- R. Couillet, S. Wagner, M. Debbah, "Asymptotic Analysis
of Correlated Multi-Antenna Broadcast Channels", IEEE
Wireless Communications & Networking Conference, Budapest,
Hungary, 2009. [article]
- R. Couillet, S. Wagner, M. Debbah, A. Silva, "The Space
Frontier: Physical Limits of Multiple Antenna Information
Transfer", ValueTools, Inter-Perf Workshop, Athens,
Greece, 2008. BEST STUDENT PAPER AWARD [article]
- R. Couillet, M. Debbah, "Free deconvolution for OFDM
multicell SNR detection", IEEE Personal, Indoor and
Mobile Radio Communications Symposium, Cognitive Radio
Workshop, Cannes, France, 2008. [article]
Book
- R. Couillet, M. Debbah, "Random matrix theory methods
for wireless communications", Cambridge University
Press, 2011. [outline|website]
Book Chapters
- R. Couillet, M. Debbah, "Mathematical Foundations for
Signal Processing, Communications and Networking",
Chapter "Random matrix theory", CRC Press, Taylor & and
Francis Group, 2011. [chapter|website]
- R. Couillet, M. Debbah, "Orthogonal Frequency Division
Multiple Access Fundamentals and Applications", Chapter
"Fundamentals of OFDMA Synchronization", Auerbach
Publications, CRC Press, Taylor & Francis, 2010. [chapter|website]
- R. Couillet, "De la Radio Logicielle à la radio
Intelligente", participation to several chapters,
Hermès-Lavoisier Editions, 2010. [website]
Tutorials
- R. Couillet, M. Tiomoko, M. A. Seddik "", European Signal Processing Conference, 2019. [slides]
- R. Couillet, X. Mai, Z. Liao "", European Signal Processing Conference, 2018. [slides]
- R. Couillet, H. Tiomoko Ali, "Random Matrices for Big
Data Signal Processing and Machine Learning.", IEEE
International Conference on Acoustics, Speech and Signal
Processing, New Orleans, USA, 2017. [slides]
- R. Couillet, "Random Matrices, Robust Estimation, and
Applications.", IEEE International Conference on
Acoustics, Speech and Signal Processing, Brisbane, Australia,
2015. [slides]
- R. Couillet, A. Kammoun, "Future Random Matrix Tools for
Large Dimensional Signal Processing.", European Signal
Processing Conference (EUSIPCO'14), Libon, Portugal, 2014. [slides]
- R. Couillet, M. Debbah, "Random Matrix Advances in
Signal Processing", IEEE International Workshop on
Signal Processing Advances in Wireless Communications,
Darmstadt, Germany, 2013. [slides]
- R. Couillet, M. Debbah, "Random Matrix Theory for Signal
Processing Applications", IEEE International Conference
on Acoustics, Speech and Signal Processing, Prague, Czech
Republic, 2011. [slides]
- R. Couillet, M. Debbah, "Random Matrices in Wireless
Flexible Networks", International Conference on
Cognitive Radio Oriented Wireless Networks and Communications
(Crowncom), Cannes, France, 2010. [slides]
- R. Couillet, M. Debbah, "Eigen-Inference Statistical
methods for Cognitive Radio", European Wireless, Lucca,
Italy, 2010. [slides]
Patents
- R. Couillet, M. Debbah, Application no. 08368028.0, "Process
and apparatus for performing initial carrier frequency
offset in an OFDM communication system".
- R. Couillet, M. Debbah, Application no. 08368023.1, "Method
for short-time OFDM transmission and apparatus for
performing flexible OFDM modulation".
- R. Couillet, S. Wagner, Application no. 09368025.4, "Precoding
process for a transmitter of a MU-MIMO communication
system".
- R. Couillet, Application no. 09368030.4, "Process for
estimating the channel in an OFDM communication system, and
receiver for doing the same".
HDR Thesis
R. Couillet,
"Robust Estimation Methods in the Large Random
Matrix Regime", CentraleSupélec, February 2015. [
thesis|
slides]
Composition of the jury:
- M. Florent Benaych-Georges, Université Paris-Descartes
- M. Pascal Bondon, CNRS/Université Paris Sud
- M. Alfred Hero, University of Michigan
- M. Matthew McKay, Hong Kong University of Science and
Technology
- M. Esa Ollila, Aalto University
- M. Leonid Pastur, National Academy of Sciences of Ukraine
- M. Jean-Yves Tourneret, INP-ENSEEIHT
PhD Thesis
R. Couillet,
"Application of random matrix theory to future
wireless flexible networks", Supélec, November 2010. [
thesis|
slides]
Composition of the jury:
- M. Mérouane Debbah, Supélec, PhD advisor
- M. Pierre Duhamel, CNRS/Supélec, President of the Jury
- M. Walid Hachem, CNRS/Telecom ParisTech
- M. Philippe Loubaton, Université de Marne la Vallée
- M. Xavier Mestre, CTTC Catalunya
- M. Aris Moustakas, University of Athens
- M. Jack Silverstein, North Carolina State University
Awards
- 2013: Bronze Medal of the French CNRS
- 2013: 2013 IEEE ComSoc Outstanding Young Researcher
Award for the EMEA Region
- 2019: Best Student Paper Award at the EUSIPCO'19 conference [article]
- 2013: Second Prize of the 2012-2013 IEEE Australia
Council Student Paper Contest [article]
- 2011: EEA/GdR ISIS/GRETSI Best PhD Thesis Award [thesis]
- 2011: Best Student Paper Award Finalist at the
Asilomar 2011 Conference [article]
- 2008: ValueTools Best Student Paper Award [article]