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
- X. Mai, R. Couillet, "A random matrix analysis and improvement of semi-supervised learning for large dimensional data", (submitted to) Journal of Machine Learning Research, 2017. [preprint]
- 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", (under revision) IEEE Transactions on Signal Processing, 2017. [preprint]
- N. Auguin, D. Morales, M. McKay, R. Couillet, "Large-dimensional behavior of regularized Maronna's M-estimators of covariance matrices", (submitted to) IEEE Transactions on Signal Processing, 2017. [preprint]
- C. Louart, Z. Liao, R. Couillet, "A Random Matrix Approach to Neural Networks", (in Press) Annals of Applied Probability, 2017. [article]
- A. Karadimitrakis, A. L. Moustakas, R. Couillet, "Gallager Bound for MIMO Channels: Large-N Asymptotics", (in Press) IEEE Transactions on Wireless Communications, 2017. [preprint]
- Z. Liao, R. Couillet, "A Large Dimensional Analysis of Least Squares Support Vector Machines", (submitted to) Journal of Machine Learning Research, 2017. [preprint]
- H. Tiomoko Ali, R. Couillet, "Spectral community detection in heterogeneous large networks", (submitted to) Journal of Machine Learning Research, 2017. [preprint]
- R. Couillet, M. McKay, "Optimal block-sparse PCA for high dimensional correlated samples", (submitted to) IEEE Transactions on Signal Processing, 2017. [preprint]
- 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" (in Press) IEEE Transactions on Vehicular Technologies, 2017. [article]
- M. Sadeghi, L. Sanguinetti, R. Couillet, Y. Chau, "Reducing the Computational Complexity of Multicasting in Large-Scale Antenna Systems" (in Press) IEEE Transactions on Wireless Communications, 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 Estimator", (submitted to) IEEE Transactions on Aerospace and Electronic Systems, 2016, arXiv Preprint 1504.01252. [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
- C. Louart, R. Couillet, "A Random Matrix and Concentration Inequalities Framework for Neural Networks Analysis", (submitted to) 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",, (submitted to) 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), 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, 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
- 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]