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We consider the problem of computing a positive definite $p \times p$ inverse covariance matrix aka precision matrix $\theta=(\theta_{ij})$ which optimizes a regularized Gaussian maximum likelihood problem, with the elastic-net regularizer…

Statistics Theory · Mathematics 2015-09-02 Yves F. Atchadé , Rahul Mazumder , Jie Chen

We consider the system-wide utility maximization problem in the downlink of a cell-free massive multiple-input multiple-output (MIMO) system whereby a very large number of access points (APs) simultaneously serve a group of users.…

Signal Processing · Electrical Eng. & Systems 2020-09-22 Muhammad Farooq , Hien Quoc Ngo , Een-Kee Hong , Le-Nam Tran

Gaussian channels with memory and with noiseless feedback have been widely studied in the information theory literature. However, a coding scheme to achieve the feedback capacity is not available. In this paper, a coding scheme is proposed…

Information Theory · Computer Science 2007-07-13 Jialing Liu , Nicola Elia

In this work, we investigate an efficient numerical approach for solving higher order statistical methods for blind and semi-blind signal recovery from non-ideal channels. We develop numerical algorithms based on convex optimization…

Information Theory · Computer Science 2016-11-17 Huy-Dung Han , Zhi Ding , Muhammad Zia

We present a novel approach to accelerate the Goemans-Williamson (GW) randomized rounding procedure for quadratic unconstrained binary optimization (QUBO) problems. Instead of solving the conventional semi-definite programming (SDP)…

Optimization and Control · Mathematics 2025-12-10 Hadi Salloum , Roland Hildebrand , Nhat Trung Nguyen , Vitali Pirau , Amer Al Badr , Mohammad Alkousa , Alexander Gasnikov

This paper studies optimization of zero-delay source-channel codes, and specifically the problem of obtaining globally optimal transformations that map between the source space and the channel space, under a given transmission power…

Information Theory · Computer Science 2013-04-26 Mustafa S. Mehmetoglu , Emrah Akyol , Kenneth Rose

This paper proposes a new framework to regularize the highly ill-posed and non-linear phase retrieval problem through deep generative priors using simple gradient descent algorithm. We experimentally show effectiveness of proposed algorithm…

Machine Learning · Computer Science 2018-08-20 Fahad Shamshad , Ali Ahmed

The max-min fairness (MMF) problem in rate-splitting multiple access (RSMA) is known to be challenging due to its non-convex and non-smooth nature, as well as the coupled beamforming and common rate variables. Conventional algorithms to…

Information Theory · Computer Science 2025-07-21 Facheng Luo , Yijie Mao

This paper compares the partial-decode-forward and the complete-decode-forward coding strategies for the half-duplex Gaussian single-relay channel. We analytically show that the rate achievable by partial-decode-forward outperforms that of…

Information Theory · Computer Science 2012-12-04 Lawrence Ong , Sarah J. Johnson , Christopher M. Kellett

The so-called "replica method" of statistical physics is employed for the large system analysis of vector precoding for the Gaussian multiple-input multiple-output (MIMO) broadcast channel. The transmitter is assumed to comprise a linear…

Information Theory · Computer Science 2011-02-28 Benjamin Zaidel , Ralf Mueller , Aris Moustakas , Rodrigo de Miguel

We study the optimality of linear precoding for the two-receiver multiple-input multiple-output (MIMO) Gaussian broadcast channel (BC) with confidential messages. Secret dirty-paper coding (SDPC) is optimal under an input covariance…

Information Theory · Computer Science 2013-04-18 Ali Fakoorian andA. Lee Swindlehurst

We consider the problem of matrix completion with graphs as side information depicting the interrelations between variables. The key challenge lies in leveraging the similarity structure of the graph to enhance matrix recovery. Existing…

Machine Learning · Computer Science 2025-02-13 Yao Wang , Yiyang Yang , Kaidong Wang , Shanxing Gao , Xiuwu Liao

In this paper, we investigate the additive Gaussian noise channel with noisy feedback. We consider the setup of linear coding of the feedback information and Gaussian signaling of the message (i.e. Cover-Pombra Scheme). Then, we derive the…

Information Theory · Computer Science 2015-03-19 Chong Li , Nicola Elia

In this manuscript we consider denoising of large rectangular matrices: given a noisy observation of a signal matrix, what is the best way of recovering the signal matrix itself? For Gaussian noise and rotationally-invariant signal priors,…

Disordered Systems and Neural Networks · Physics 2022-10-03 Emanuele Troiani , Vittorio Erba , Florent Krzakala , Antoine Maillard , Lenka Zdeborová

In this paper, we investigate the optimal precoding scheme for relay networks with finite-alphabet constraints. We show that the previous work utilizing various design criteria to maximize either the diversity order or the transmission rate…

Information Theory · Computer Science 2016-11-17 Weiliang Zeng , Chengshan Xiao , Mingxi Wang , Jianhua Lu

The resolution of many large-scale inverse problems using MCMC methods requires a step of drawing samples from a high dimensional Gaussian distribution. While direct Gaussian sampling techniques, such as those based on Cholesky…

Methodology · Statistics 2015-06-22 Clément Gilavert , Saïd Moussaoui , Jérôme Idier

This paper considers reliable communications over a multiple-input multiple-output (MIMO) Gaussian channel, where the channel matrix is within a bounded channel uncertainty region around a nominal channel matrix, i.e., an instance of the…

Information Theory · Computer Science 2013-06-05 Yin Sun , C. Emre Koksal , Ness B. Shroff

This paper studies the optimal points in the capacity region of Gaussian multiple access channels (GMACs) with constant fading, multiple antennas and various power constraints. The points of interest maximize general rate objectives that…

Information Theory · Computer Science 2016-01-15 Daniel Calabuig , Ramy H. Gohary , Halim Yanikomeroglu

This paper focuses on radar waveform optimization for minimizing the Cram\'er-Rao bound (CRB) in a multiple-input multiple-output (MIMO) radar system. In contrast to conventional approaches relying on semi-definite programming (SDP) and…

Signal Processing · Electrical Eng. & Systems 2024-09-20 Xiaohua Zhou , Xu Du , Yijie Mao

In this paper, we propose a novel algorithm to maximize the sum rate in interference-limited scenarios where each user decodes its own message with the presence of unknown interferences and noise considering the…

Information Theory · Computer Science 2015-03-23 Hussein Al-Shatri , Xiang Li , Rakash SivaSiva Ganesan , Anja Klein , Tobias Weber