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Publications of Walid Hachem


Journal articles40 documents

  • Walid Hachem, Adrien Hardy, Shlomo Shamai. Mutual Information of Wireless Channels and Block-Jacobi Ergodic Operators. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2019, 65 (11), ⟨10.1109/TIT.2019.2927017⟩. ⟨hal-01954454⟩
  • Pascal Bianchi, Walid Hachem, Adil Salim. Constant step stochastic approximations involving differential inclusions: stability, long-run convergence and applications. Stochastics: An International Journal of Probability and Stochastic Processes, Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2019, 91 (2), pp.288-320. ⟨10.1080/17442508.2018.1539086⟩. ⟨hal-02369439⟩
  • Nicholas Cook, Walid Hachem, Jamal Najim, David Renfrew. Non-Hermitian random matrices with a variance profile (I): deterministic equivalents and limiting ESDs. Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2018, 23, pp.1 - 61. ⟨10.1214/18-EJP230⟩. ⟨hal-02385528⟩
  • Pascal Bianchi, Walid Hachem, Adil Salim. A constant step Forward-Backward algorithm involving random maximal monotone operators. Journal of Convex Analysis, Heldermann, In press. ⟨hal-01725134⟩
  • Adil Salim, Pascal Bianchi, Walid Hachem. Snake: a stochastic proximal gradient algorithm for regularized problems over large graphs. IEEE Trans. on Autom. Control, 2018. ⟨hal-02287871⟩
  • Pascal Bianchi, Walid Hachem, Franck Iutzeler. A Coordinate Descent Primal-Dual Algorithm and Application to Distributed Asynchronous Optimization. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, 61 (10), pp.2947-2957. ⟨10.1109/TAC.2015.2512043⟩. ⟨hal-01237226⟩
  • Walid Hachem, Adrien Hardy, Jamal Najim. Large Complex Correlated Wishart Matrices: Fluctuations and Asymptotic Independence at the Edges.. Annals of Probability, 2016, 44 (3), pp.2264-2348. ⟨10.1214/15-AOP1022⟩. ⟨hal-01063807⟩
  • Franck Iutzeler, Pascal Bianchi, Philippe Ciblat, Walid Hachem. Explicit Convergence Rate of a Distributed Alternating Direction Method of Multipliers. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, 61 (4), pp.892 - 904. ⟨hal-02286968⟩
  • Walid Hachem, Adrien Hardy, Jamal Najim. Large complex correlated Wishart matrices: the Pearcey kernel and expansion at the hard edge. Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2016, 21 (1), pp.1-36. ⟨10.1214/15-EJP4441⟩. ⟨hal-01834495⟩
  • Pascal Bianchi, Walid Hachem. Dynamical behavior of a stochastic forward-backward algorithm using random monotone operators. Journal of Optimization Theory and Applications, Springer Verlag, 2016, 171. ⟨hal-01183959⟩
  • Walid Hachem, Aris Moustakas, Leonid Pastur. The Shannon's mutual information of a multiple antenna time and frequency dependent channel: an ergodic operator approach. Journal of Mathematical Physics, 2015, 56 (11). ⟨hal-02287508⟩
  • Julia Vinogradova, Romain Couillet, Walid Hachem. Estimation of Toeplitz Covariance Matrices in Large Dimensional Regime With Application to Source Detection. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2015, 63 (18), pp.4903 - 4913. ⟨10.1109/TSP.2015.2447493⟩. ⟨hal-01241741⟩
  • Romain Couillet, Walid Hachem. Analysis of the limiting spectral measure of large random matrices of the separable covariance type. Random Matrices: Theory and Applications, 2015, 3 (4). ⟨hal-02287068⟩
  • Walid Hachem, Adrien Hardy, Jamal Najim. A Survey on the Eigenvalues Local Behavior of Large Complex Correlated Wishart Matrices. ESAIM: Proceedings and Surveys, EDP Sciences, 2015, 51, pp.150-174. ⟨hal-01199904⟩
  • Francois Chapon, Romain Couillet, Walid Hachem, Xavier Mestre. THE OUTLIERS AMONG THE SINGULAR VALUES OF LARGE RECTANGULAR RANDOM MATRICES WITH ADDITIVE FIXED RANK DEFORMATION. Markov Processes and Related Fields, Polymath, 2014, 20 (2), pp.183-228. ⟨hal-01098923⟩
  • Franck Iutzeler, Philippe Ciblat, Walid Hachem. Analysis of Sum-Weight-like algorithms for averaging in Wireless Sensor Networks. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2013, 61 (11), pp. 2802 - 2814. ⟨10.1109/TSP.2013.2256904⟩. ⟨hal-00737584⟩
  • Walid Hachem, Philippe Loubaton, X. Mestre, Jamal Najim, Pascal Vallet. A Subspace Estimator for Fixed Rank Perturbations of Large Random Matrices. Journal of Multivariate Analysis, Elsevier, 2013, 114, pp.427-447. ⟨10.1016/j.jmva.2012.08.006⟩. ⟨hal-00598826v2⟩
  • P. Bianchi, Gersende Fort, Walid Hachem. Performance of a Distributed Stochastic Approximation Algorithm. IEEE Transactions on Information Theory, 2013, 59 (11), pp.7405-7418. ⟨hal-02286437⟩
  • Romain Couillet, Walid Hachem. Fluctuations of spiked random matrix models and failure diagnosis in sensor networks. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2013, 59 (1), pp.509-525. ⟨10.1109/TIT.2012.2218572⟩. ⟨hal-00830228⟩
  • Julia Vinogradova, Romain Couillet, Walid Hachem. Statistical Inference in Large Antenna Arrays under Unknown Noise Pattern. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2013, 61 (22), pp.5633-5645. ⟨hal-02287071⟩
  • Walid Hachem, Philippe Loubaton, Jamal Najim, Pascal Vallet. On bilinear forms based on the resolvent of large random matrices. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institute Henri Poincaré, 2013, 49 (1), pp.36-63. ⟨10.1214/11-AIHP450⟩. ⟨hal-00474126v2⟩
  • D. Gregoratti, Walid Hachem, X. Mestre. Randomized Isometric Linear Dispersion Space-Time Block Coding for the DF Relay Channel. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2012, 60 (1), pp.426-442. ⟨10.1109/TSP.2011.2171685⟩. ⟨hal-02278550⟩
  • Walid Hachem, Malika Kharouf, Jamal Najim, Jack W. Silverstein. A CLT for information-theoretic statistics of non-centered Gram random matrices. Random Matrices: Theory and Applications, 2012, 1 (2), pp.1-50. ⟨10.1142/S2010326311500109⟩. ⟨hal-00829214⟩
  • F. Rubio, Walid Hachem, X. Mestre. A CLT on the SNR of Diagonally Loaded MVDR Filters. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2012, 60 (8). ⟨hal-02278548⟩
  • Walid Hachem, Philippe Loubaton, Xavier Mestre, Jamal Najim, Pascal Vallet. Large information plus noise random matrix models and consistent subspace estimation in large sensor networks. Random Matrices, Theory and Applications (RMTA), 2012, 01 (1150006), pp.1-51. ⟨10.1142/S2010326311500067⟩. ⟨hal-00790069⟩
  • N. Ksairi, Philippe Ciblat, P. Bianchi, Walid Hachem. Performance analysis over slow fading channels of a half-duplex single-relay protocol: Decode or Quantize and Forward. IEEE Transactions on Communications, 2012, 60 (7), pp.2009-2016. ⟨hal-02286369⟩
  • Walid Hachem, E. Moulines, François Roueff. Error Exponents for Neyman-Pearson Detection of a Continuous-Time Gaussian Markov Process From Regular or Irregular Samples. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2011, 57 (6), pp.3899-3914. ⟨10.1109/TIT.2011.2133630⟩. ⟨hal-00604392⟩
  • Julien Dumont, Walid Hachem, Samson Lasaulce, Philippe Loubaton, Jamal Najim. On the capacity achieving covariance matrix for Rician MIMO channels: an asymptotic approach. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2010, 56 (3), pp.1048--1069. ⟨hal-00180897v2⟩
  • Walid Hachem, Philippe Loubaton, Jamal Najim. A CLT for Information-theoretic statistics of Gram random matrices with a given variance profile. Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2008, ? (1), 10pp. ⟨hal-00621862⟩
  • Walid Hachem, Oleksiy Khorunzhiy, Philippe Loubaton, Jamal Najim, Leonid Pastur. A New Approach for Mutual Information Analysis of Large Dimensional Multi-Antenna Channels. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2008, 54 (9), pp.3987-4004. ⟨10.1109/TIT.2008.928229⟩. ⟨hal-00120482⟩
  • B. Mouhouche, Philippe Loubaton, Walid Hachem. Asymptotic Analysis of Reduced-Rank Chip-Level MMSE Equalizers in the Downlink of CDMA Systems. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2007, 55 (6), pp.3048-3060. ⟨hal-00621792⟩
  • Walid Hachem, Philippe Loubaton, J. Najim. Deterministic equivalents for certain functionals of large random matrices. Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2007, 17 (1), pp.875-930. ⟨hal-00621793⟩
  • Serdar Sezginer, Pascal Bianchi, Walid Hachem. Asymptotic Cramér-Rao Bounds and Training Design for Uplink MIMO-OFDMA Systems with Frequency Offsets. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2007, 55 (7), pp. 3606-3622. ⟨hal-00226420⟩
  • Walid Hachem, Philippe Loubaton, J. Najim. The empirical distribution of the eigenvalues of a Gram matrix with a given variance profile. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institute Henri Poincaré, 2006, PR42 (1), pp.649-670. ⟨10.1016/j.anihpb.2005.10.001⟩. ⟨hal-00621791⟩
  • Jocelyn Fiorina, Walid Hachem. On the Asymptotic Distribution of the Correlation Receiver Output for Time-Hopped UWB Signals. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2006, 54 (Issue 7), pp. 2529-2545. ⟨hal-00278906⟩
  • Walid Hachem, Philippe Loubaton, J. Najim. The empirical eigenvalue distribution of a Gram matrix: From independence to stationarity. Markov Processes and Related Fields, Polymath, 2005, ? (1), pp.629-648. ⟨hal-00621863⟩
  • J.M. Chaufray, Walid Hachem, Philippe Loubaton. Asymptotic analysis of optimum and sub-optimum CDMA downlink MMSE receivers. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2004, 50 (11), pp.2620-2638. ⟨hal-00621914⟩
  • M. Debbah, Walid Hachem, Philippe Loubaton, M. De Courville. MMSE analysis of certain large isometric random precoded systems. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2003, 49 (5), pp.1293-1311. ⟨hal-00621699⟩
  • Walid Hachem, François Desbouvries, Philippe Loubaton. A MIMO channel blind identification algorithm in the presence of spatially correlated noise. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2002, 50 (3), pp.651-661. ⟨hal-00621712⟩
  • Walid Hachem, François Desbouvries, Philippe Loubaton. Identification of certain Noisy MA Models : New Results. Systems and Control Letters, Elsevier, 2000, 39 (1), pp.237-43. ⟨hal-00621713⟩

Conference papers35 documents

  • Walid Hachem, Adrien Hardy, Shlomo Shamai. Information mutuelle de canaux radio et opérateurs de Jacobi ergodiques. GRETSI, 2019, Lille, France. ⟨hal-02385518⟩
  • Homa Nikbakht, Michèle Wigger, Walid Hachem, Shlomo Shamai Shitz. Mixed Delay Constraints on a Fading C-RAN Uplink. IEEE Information Theory Workshop (ITW), 2019, Visby, Sweden. ⟨hal-02385497⟩
  • Adil Salim, Pascal Bianchi, Walid Hachem. Convergence d'un algorithme du gradient proximal stochastique à pas constant et généralisation aux opérateurs monotones aléatoires. GRETSI, Sep 2017, Juan-les-Pins, France. ⟨hal-01725141⟩
  • Pascal Bianchi, Walid Hachem, Adil Salim. Building Stochastic Optimization Algorithms with Random Monotone Operators. Eucco, Sep 2016, Leuven, Belgium. ⟨hal-02287356⟩
  • Pascal Vallet, Xavier Mestre, Walid Hachem. Asymptotic analysis of linear spectral statistics of the sample coherence matrix. ICASSP 2015 - 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Apr 2015, South Brisbane, France. ⟨10.1109/ICASSP.2015.7179059⟩. ⟨hal-01715691⟩
  • J. Vinogradova, Romain Couillet, Walid Hachem. Estimation of Large Toeplitz Covariance Matrices and Application to Source Detection. EUSIPCO'14, Sep 2014, Lisbon, Portugal. pp.2120 - 2124. ⟨hal-01092899⟩
  • X. Mestre, P. Vallet, Walid Hachem. Correlation Test for High Dimensional Data with Application to Signal Detection in Distributed Sensor Networks. EUSIPCO, 2014, Lisbonne, Portugal. ⟨hal-02287075⟩
  • J. Vinogradova, Romain Couillet, Walid Hachem. A new method for source detection, power estimation, and localization in large sensor networks under noise with unknown statistics. 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, May 2013, Vancouver, Canada. 4 p. ⟨hal-00830338⟩
  • Franck Iutzeler, Pascal Bianchi, Philippe Ciblat, Walid Hachem. Asynchronous Distributed Optimization using a Randomized Alternating Direction Method of Multipliers. CDC, Dec 2013, Italy. ⟨hal-00868412⟩
  • Franck Iutzeler, Philippe Ciblat, Walid Hachem, Jérémie Jakubowicz. New broadcast based distributed averaging algorithm over wireless sensor networks. ICASSP '12 : IEEE International Conference on Acoustics, Speech and Signal Processing, Mar 2012, Kyoto, Japan. pp.3117-3120, ⟨10.1109/ICASSP.2012.6288575⟩. ⟨hal-00754937⟩
  • Franck Iutzeler, Philippe Ciblat, Walid Hachem, Jérémie Jakubowicz. A new broadcast based averaging algorithm over wireless sensor networks. 37-th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Mar 2012, Japan. ⟨hal-00737600⟩
  • Franck Iutzeler, Philippe Ciblat, Walid Hachem, Jérémie Jakubowicz. Estimation distribuée du maximum dans un réseau de capteurs. XXIIIe Colloque GRETSI, Sep 2011, Bordeaux, France. ⟨hal-00737593⟩
  • Pascal Vallet, Walid Hachem, Philippe Loubaton, X. Mestre, Jamal Najim. On the Consistency of the G-MUSIC DoA Estimator. SSP, Jul 2011, France. pp.685-688. ⟨hal-00733784⟩
  • Pascal Vallet, Walid Hachem, Philippe Loubaton, X. Mestre, Jamal Najim. An Improved MUSIC Algorithm Based on Low Rank Perturbation of Large Random Matrices. SSP, Jul 2011, France. pp.689-692. ⟨hal-00733787⟩
  • X. Mestre, Walid Hachem, Philippe Loubaton, Pascal Vallet. Asymptotic Analysis of a Consistent Subspace Estimator for Observations of Increasing Dimension. SSP, Jul 2011, Nice, France. pp.677 - 680. ⟨hal-00733780⟩
  • A. Kammoun, M. Kharouf, Walid Hachem, J. Najim. On the Fluctuations of the Mutual Information for the Non-Centered MIMO Channels: The Non-Gaussian Case. SPAWC, Jun 2011, Marrakech, Morocco. ⟨hal-02288308⟩
  • Franck Iutzeler, Jérémie Jakubowicz, Walid Hachem, Philippe Ciblat. Distributed estimation of the maximum value over a wireless sensor network. ASILOMAR '11 : The Forty Fifth Asilomar Conference on Signals, Systems and Computers, Nov 2011, Pacific Grove, Ca, United States. pp.62-66, ⟨10.1109/ACSSC.2011.6189955⟩. ⟨hal-00755111⟩
  • D. Gregoratti, Walid Hachem, X. Mestre. Orthogonal Matrix Precoding for Relay Networks. ISWPC, May 2010, Modena, Italy. ⟨hal-02278633⟩
  • Walid Hachem, Philippe Loubaton, J. Najim. On the fluctuations of the mutual information of large dimensional MIMO channels. ITW 2008, May 2008, France. 10pp. ⟨hal-00621830⟩
  • Nassar Ksairi, Pascal Bianchi, Walid Hachem, Ph. Ciblat. Optimal reuse factor and resource allocation for OFDMA downlink with multicell interference. IEEE Workshop on Signal Processing Advances for Wireless Communications (SPAWC 2008), Jul 2008, Recife, Brazil. pp.CD-ROM Proceedings. ⟨hal-00348399⟩
  • Walid Hachem, Pascal Bianchi, Ph. Ciblat. Outage Probability Optimization of Certain Wireless Relaying Protocols. 2008 IEEE Information Theory Workshop (ITW 2008), May 2008, Porto, Portugal. pp.CD-ROM Proceedings. ⟨hal-00348259⟩
  • Julien Dumont, Walid Hachem, S. Lasaulce, Philippe Loubaton, J. Najim. High SNR approximations of the capacity of MIMO correlated Rician channels: a large system approach. ISIT 2007, Jun 2007, France. pp.536-540. ⟨hal-00621918⟩
  • Sophie Gault, Walid Hachem, Ph. Ciblat. Performance of a Resource Allocation Strategy for an FH-OFDMA based System in a multi-cell environment. SPAWC'2006, 2006, Cannes, France. pp.CD-ROM Proceedings. ⟨hal-00279696⟩
  • Walid Hachem, Philippe Loubaton, J. Najim. The Mutual Information of a MIMO Channel: A Survey. ISCCSP'2006, 2006, Marrakesh, Morocco. pp.CD-ROM Proceedings. ⟨hal-00279700⟩
  • A.M. Cipriano, Ph. Ciblat, Sophie Gault, Walid Hachem. Balanced allocation strategy in multi-user OFDM with Channel State Information at the transmitter. EUSIPCO'2006, 2006, Florence, Italy. pp.CD-ROM Proceedings. ⟨hal-00279698⟩
  • Julien Dumont, Walid Hachem, Philippe Loubaton, J. Najim. On the Asymptotic Analysis of Mutual Information of MIMO Rician Correlated Channels. ISCCSP'2006, 2006, Marrakesh, Morocco. pp.CD-ROM Proceedings. ⟨hal-00279705⟩
  • B. Mouhouche, Philippe Loubaton, Walid Hachem, Nada Ibrahim. Asymptotic analysis fo reduced rank downlink CDMA Wiener receivers. in Proc. of Conf. EUSIPCO-2004, Sep 2004, France. pp.201-204. ⟨hal-00621744⟩
  • J.M. Chaufray, Philippe Loubaton, Walid Hachem. Asymptotic analysis of optimum and suboptimum CDMA downlink MMSE receivers. Proceedings. Seventh ISSPA Conf., Jul 2003, France. pp.493-496. ⟨hal-00621681⟩
  • Philippe Loubaton, Walid Hachem. Asymptotic analysis of reduced rank Wiener filters. In Proc. Information Theory Workshop 2003, Paris, Apr 2003, France. pp.328-331. ⟨hal-00621738⟩
  • Belkacem Mouhouche, Philippe Loubaton, Walid Hachem, Karim Abed-Meraim, Nicolas Ibrahim. Analyse asymptotique de certains filtres de Wiener à rang réduit. Actes du Colloque Gretsi 2003, Sep 2003, France. pp.163-166. ⟨hal-00621757⟩
  • J.M. Chaufray, Walid Hachem, Philippe Loubaton. Asymptotic analysis of optimum and sub-optimum CDMA downlink MMSE receivers. in Proc. ISIT-2002, Jun 2002, France. 10pp. ⟨hal-00621678⟩
  • M. Debbah, Walid Hachem, Philippe Loubaton, M. De Courville. MMSE analysis of certain large isometric random precoded systems. in 2001 Information Theory Workshop, Cairns, Australia, Sep 2001, France. 10pp. ⟨hal-00621700⟩
  • M. Debbah, Walid Hachem, Philippe Loubaton, M. De Courville. Asymptotic performance analysis for redundant block precoded OFDM systems. in Proceedings of the 11th IEEE Statistical Signal Prcoessing Workshop, Singapore, Aug 2001, France. 10pp. ⟨hal-00621701⟩
  • Walid Hachem, François Desbouvries, Philippe Loubaton. Blind channel estimation for CDMA systems : an induced cyclostationarity approach. in Proc. ICASSP-2000, Istanbul, Jun 2000, France. pp.2477-2480. ⟨hal-00621714⟩
  • Walid Hachem, François Desbouvries, Philippe Loubaton. Un algorithme d'identification autodidacte multi-entrées/ multi-sorties en présence de bruit corrélé spatialement. in Actes du Colloque GRETSI-99., 1999, France. 10pp. ⟨hal-00621715⟩

Preprints, Working Papers, ...7 documents

  • Pascal Bianchi, Walid Hachem, Sholom Schechtman. Convergence of constant step stochastic gradient descent for non-smooth non-convex functions. 2020. ⟨hal-02564349⟩
  • Pascal Bianchi, Walid Hachem, Adil Salim. A Fully Stochastic Primal-Dual Algorithm. 2019. ⟨hal-02369882⟩
  • Adil Salim, Pascal Bianchi, Walid Hachem. A Constant Step Stochastic Douglas-Rachford Algorithm with Application to Non Separable Regularizations. 2019. ⟨hal-02369904⟩
  • Francois Chapon, Romain Couillet, Walid Hachem, Xavier Mestre. The outliers among the singular values of large rectangular random matrices with additive fixed rank deformation. 2012. ⟨hal-00713811v2⟩
  • Romain Couillet, Walid Hachem. Local failure detection and diagnosis in large sensor networks. 2011. ⟨hal-00608743⟩
  • Abla Kammoun, Malika Kharouf, Walid Hachem, Jamal Najim. A Central Limit Theorem for the SINR at the LMMSE Estimator Output for Large Dimensional Signals. 2008. ⟨hal-00328163⟩
  • Walid Hachem, Philippe Loubaton, Jamal Najim. A CLT for Information-theoretic statistics of Gram random matrices with a given variance profile. 2007. ⟨hal-00151136⟩