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Approximate Message Passing for sparse matrices with application to the equilibria of large ecological Lotka-Volterra systems
Walid Hachem
Journal articles
hal-04000125v2
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Complex systems in Ecology: A guided tour with large Lotka-Volterra models and random matrices
Imane Akjouj
,
Matthieu Barbier
,
Maxime Clenet
,
Walid Hachem
,
Mylène Maïda
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2024, 480 (2285), pp.20230284:1-35. ⟨10.1098/rspa.2023.0284⟩
Journal articles
hal-03839927v2
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Stochastic Subgradient Descent Escapes Active Strict Saddles on Weakly Convex Functions
Pascal Bianchi
,
Walid Hachem
,
Sholom Schechtman
Journal articles
hal-03442137v3
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Spectral measures of empirical autocovariance matrices of high dimensional Gaussian stationary processes
Arup Bose
,
Walid Hachem
Journal articles
hal-03446803v2
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Convergence of constant step stochastic gradient descent for non-smooth non-convex functions
Pascal Bianchi
,
Walid Hachem
,
Sholom Schechtman
Journal articles
hal-02564349v3
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Non-Hermitian random matrices with a variance profile (II): properties and examples
Nicholas Cook
,
Walid Hachem
,
Jamal Najim
,
David Renfrew
Journal articles
hal-03095169v1
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Stochastic optimization with momentum: convergence, fluctuations, and traps avoidance
Anas Barakat
,
Pascal Bianchi
,
Walid Hachem
,
Sholom Schechtman
Journal articles
hal-03310455v1
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A Fully Stochastic Primal-Dual Algorithm
Pascal Bianchi
,
Walid Hachem
,
Adil Salim
Journal articles
hal-02369882v2
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Smallest singular value and limit eigenvalue distribution of a class of non-Hermitian random matrices with statistical application
Arup Bose
,
Walid Hachem
Journal articles
hal-03052843v1
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Mutual Information of Wireless Channels and Block-Jacobi Ergodic Operators
Walid Hachem
,
Adrien Hardy
,
Shlomo Shamai
Journal articles
hal-01954454v1
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Constant step stochastic approximations involving differential inclusions: stability, long-run convergence and applications
Pascal Bianchi
,
Walid Hachem
,
Adil Salim
Journal articles
hal-02369439v1
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A constant step Forward-Backward algorithm involving random maximal monotone operators
Pascal Bianchi
,
Walid Hachem
,
Adil Salim
Journal articles
hal-01725134v1
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Non-Hermitian random matrices with a variance profile (I): deterministic equivalents and limiting ESDs
Nicholas Cook
,
Walid Hachem
,
Jamal Najim
,
David Renfrew
Journal articles
hal-02385528v1
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Snake: a stochastic proximal gradient algorithm for regularized problems over large graphs
Adil Salim
,
Pascal Bianchi
,
Walid Hachem
IEEE Transactions on Automatic Control, 2018
Journal articles
hal-02287871v1
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Large complex correlated Wishart matrices: the Pearcey kernel and expansion at the hard edge
Walid Hachem
,
Adrien Hardy
,
Jamal Najim
Electronic Journal of Probability, 2016, https://projecteuclid.org/journals/electronic-journal-of-probability/volume-21/issue-none/Large-complex-correlated-Wishart-matrices--the-Pearcey-kernel-and/10.1214/15-EJP4441.full, 21 (1), pp.1-36. ⟨10.1214/15-EJP4441⟩
Journal articles
hal-01834495v1
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Large Complex Correlated Wishart Matrices: Fluctuations and Asymptotic Independence at the Edges.
Walid Hachem
,
Adrien Hardy
,
Jamal Najim
Journal articles
hal-01063807v1
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Explicit Convergence Rate of a Distributed Alternating Direction Method of Multipliers
Franck Iutzeler
,
Pascal Bianchi
,
Philippe Ciblat
,
Walid Hachem
IEEE Transactions on Automatic Control, 2016, 61 (4), pp.892 - 904
Journal articles
hal-02286968v1
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Dynamical behavior of a stochastic forward-backward algorithm using random monotone operators
Pascal Bianchi
,
Walid Hachem
Journal of Optimization Theory and Applications, 2016, 171
Journal articles
hal-01183959v1
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A Coordinate Descent Primal-Dual Algorithm and Application to Distributed Asynchronous Optimization
Pascal Bianchi
,
Walid Hachem
,
Franck Iutzeler
Journal articles
hal-01237226v1
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Estimation of Toeplitz Covariance Matrices in Large Dimensional Regime With Application to Source Detection
Julia Vinogradova
,
Romain Couillet
,
Walid Hachem
Journal articles
hal-01241741v1
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Analysis of the limiting spectral measure of large random matrices of the separable covariance type
Romain Couillet
,
Walid Hachem
Random Matrices: Theory and Applications, 2015, 3 (4)
Journal articles
hal-02287068v1
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A Survey on the Eigenvalues Local Behavior of Large Complex Correlated Wishart Matrices
Walid Hachem
,
Adrien Hardy
,
Jamal Najim
ESAIM: Proceedings and Surveys, 2015, 51, pp.150-174
Journal articles
hal-01199904v1
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The Shannon's mutual information of a multiple antenna time and frequency dependent channel: an ergodic operator approach
Walid Hachem
,
Aris Moustakas
,
Leonid Pastur
Journal of Mathematical Physics, 2015, 56 (11)
Journal articles
hal-02287508v1
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THE OUTLIERS AMONG THE SINGULAR VALUES OF LARGE RECTANGULAR RANDOM MATRICES WITH ADDITIVE FIXED RANK DEFORMATION
Francois Chapon
,
Romain Couillet
,
Walid Hachem
,
Xavier Mestre
Markov Processes And Related Fields, 2014, 20 (2), pp.183-228
Journal articles
hal-01098923v1
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Statistical Inference in Large Antenna Arrays under Unknown Noise Pattern
Julia Vinogradova
,
Romain Couillet
,
Walid Hachem
IEEE Transactions on Signal Processing, 2013, 61 (22), pp.5633-5645
Journal articles
hal-02287071v1
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A Subspace Estimator for Fixed Rank Perturbations of Large Random Matrices
Walid Hachem
,
Philippe Loubaton
,
X. Mestre
,
Jamal Najim
,
Pascal Vallet
Journal articles
hal-00598826v2
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Performance of a Distributed Stochastic Approximation Algorithm
P. Bianchi
,
Gersende Fort
,
Walid Hachem
Journal articles
hal-02286437v1
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On bilinear forms based on the resolvent of large random matrices
Walid Hachem
,
Philippe Loubaton
,
Jamal Najim
,
Pascal Vallet
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2013, 49 (1), pp.36-63. ⟨10.1214/11-AIHP450⟩
Journal articles
hal-00474126v2
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Analysis of Sum-Weight-like algorithms for averaging in Wireless Sensor Networks
Franck Iutzeler
,
Philippe Ciblat
,
Walid Hachem
Journal articles
hal-00737584v1
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Fluctuations of spiked random matrix models and failure diagnosis in sensor networks
Romain Couillet
,
Walid Hachem
Journal articles
hal-00830228v1
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Large information plus noise random matrix models and consistent subspace estimation in large sensor networks
Walid Hachem
,
Philippe Loubaton
,
Xavier Mestre
,
Jamal Najim
,
Pascal Vallet
Journal articles
hal-00790069v1
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A CLT for information-theoretic statistics of non-centered Gram random matrices
Walid Hachem
,
Malika Kharouf
,
Jamal Najim
,
Jack W. Silverstein
Journal articles
hal-00829214v1
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A CLT on the SNR of Diagonally Loaded MVDR Filters
F. Rubio
,
Walid Hachem
,
X. Mestre
IEEE Transactions on Signal Processing, 2012, 60 (8)
Journal articles
hal-02278548v1
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Performance analysis over slow fading channels of a half-duplex single-relay protocol: Decode or Quantize and Forward
N. Ksairi
,
Philippe Ciblat
,
P. Bianchi
,
Walid Hachem
IEEE Transactions on Communications, 2012, 60 (7), pp.2009-2016
Journal articles
hal-02286369v1
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Randomized Isometric Linear Dispersion Space-Time Block Coding for the DF Relay Channel
D. Gregoratti
,
Walid Hachem
,
X. Mestre
Journal articles
hal-02278550v1
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Error Exponents for Neyman-Pearson Detection of a Continuous-Time Gaussian Markov Process From Regular or Irregular Samples
Walid Hachem
,
E. Moulines
,
François Roueff
Journal articles
hal-00604392v1
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On the capacity achieving covariance matrix for Rician MIMO channels: an asymptotic approach
Julien Dumont
,
Walid Hachem
,
Samson Lasaulce
,
Philippe Loubaton
,
Jamal Najim
IEEE Transactions on Information Theory, 2010, 56 (3), pp.1048--1069
Journal articles
hal-00180897v2
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A New Approach for Mutual Information Analysis of Large Dimensional Multi-Antenna Channels
Walid Hachem
,
Oleksiy Khorunzhiy
,
Philippe Loubaton
,
Jamal Najim
,
Leonid Pastur
Journal articles
hal-00120482v1
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A CLT for Information-theoretic statistics of Gram random matrices with a given variance profile
Walid Hachem
,
Philippe Loubaton
,
Jamal Najim
The Annals of Applied Probability, 2008, ? (1), 10pp
Journal articles
hal-00621862v1
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Asymptotic Cramér-Rao Bounds and Training Design for Uplink MIMO-OFDMA Systems with Frequency Offsets
Serdar Sezginer
,
Pascal Bianchi
,
Walid Hachem
IEEE Transactions on Signal Processing, 2007, 55 (7), pp. 3606-3622
Journal articles
hal-00226420v1
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Asymptotic Analysis of Reduced-Rank Chip-Level MMSE Equalizers in the Downlink of CDMA Systems
B. Mouhouche
,
Philippe Loubaton
,
Walid Hachem
IEEE Transactions on Signal Processing, 2007, 55 (6), pp.3048-3060
Journal articles
hal-00621792v1
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Deterministic equivalents for certain functionals of large random matrices
Walid Hachem
,
Philippe Loubaton
,
J. Najim
The Annals of Applied Probability, 2007, 17 (1), pp.875-930
Journal articles
hal-00621793v1
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The empirical distribution of the eigenvalues of a Gram matrix with a given variance profile
Walid Hachem
,
Philippe Loubaton
,
J. Najim
Journal articles
hal-00621791v1
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On the Asymptotic Distribution of the Correlation Receiver Output for Time-Hopped UWB Signals
Jocelyn Fiorina
,
Walid Hachem
IEEE Transactions on Signal Processing, 2006, 54 (Issue 7), pp. 2529-2545
Journal articles
hal-00278906v1
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The empirical eigenvalue distribution of a Gram matrix: From independence to stationarity
Walid Hachem
,
Philippe Loubaton
,
J. Najim
Markov Processes And Related Fields, 2005, ? (1), pp.629-648
Journal articles
hal-00621863v1
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Asymptotic analysis of optimum and sub-optimum CDMA downlink MMSE receivers
J.M. Chaufray
,
Walid Hachem
,
Philippe Loubaton
IEEE Transactions on Information Theory, 2004, 50 (11), pp.2620-2638
Journal articles
hal-00621914v1
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MMSE analysis of certain large isometric random precoded systems
M. Debbah
,
Walid Hachem
,
Philippe Loubaton
,
M. De Courville
IEEE Transactions on Information Theory, 2003, 49 (5), pp.1293-1311
Journal articles
hal-00621699v1
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A MIMO channel blind identification algorithm in the presence of spatially correlated noise
Walid Hachem
,
François Desbouvries
,
Philippe Loubaton
IEEE Transactions on Signal Processing, 2002, 50 (3), pp.651-661
Journal articles
hal-00621712v1
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Identification of certain Noisy MA Models : New Results
Walid Hachem
,
François Desbouvries
,
Philippe Loubaton
Systems and Control Letters, 2000, 39 (1), pp.237-43
Journal articles
hal-00621713v1
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