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We address joint design of robust precoder and equalizer in a MIMO communication system using the minimization of weighted sum of mean square errors. In addition to imperfect knowledge of channel state information, we also account for…

Information Theory · Computer Science 2013-04-18 Saeed Kaviani , Witold A. Krzymien

We consider high-dimensional measurement errors with high-frequency data. Our objective is on recovering the high-dimensional cross-sectional covariance matrix of the random errors with optimality. In this problem, not all components of the…

Statistics Theory · Mathematics 2024-04-03 Jinyuan Chang , Qiao Hu , Cheng Liu , Cheng Yong Tang

Modern adaptive optimization methods, such as Adam and its variants, have emerged as the most widely used tools in deep learning over recent years. These algorithms offer automatic mechanisms for dynamically adjusting the update step based…

Machine Learning · Computer Science 2025-02-12 Son Nguyen , Bo Liu , Lizhang Chen , Qiang Liu

The L1-regularized Gaussian maximum likelihood estimator (MLE) has been shown to have strong statistical guarantees in recovering a sparse inverse covariance matrix, or alternatively the underlying graph structure of a Gaussian Markov…

Machine Learning · Computer Science 2013-06-14 Cho-Jui Hsieh , Matyas A. Sustik , Inderjit S. Dhillon , Pradeep Ravikumar

Deep learning (DL)-based solutions have emerged as promising candidates for beamforming in massive Multiple-Input Multiple-Output (mMIMO) systems. Nevertheless, it remains challenging to seamlessly adapt these solutions to practical…

Signal Processing · Electrical Eng. & Systems 2025-02-14 Ali Hasanzadeh Karkan , Hamed Hojatian , Jean-François Frigon , François Leduc-Primeau

This paper studies the problem of hybrid holographic beamforming for sum-rate maximization in a communication system assisted by a reconfigurable holographic surface. Existing methodologies predominantly rely on gradient-based or…

Signal Processing · Electrical Eng. & Systems 2025-03-24 Chandan Kumar Sheemar , Wali Ullah Khan , George C. Alexandropoulos , Manzoor Ahmed , Symeon Chatzinotas

This work studies the joint design of precoding and backhaul compression strategies for the downlink of cloud radio access networks. In these systems, a central encoder is connected to multiple multi-antenna base stations (BSs) via…

Information Theory · Computer Science 2015-06-15 Seok-Hwan Park , Osvaldo Simeone , Onur Sahin , Shlomo Shamai

We propose a novel approach for domain generalisation (DG) leveraging risk distributions to characterise domains, thereby achieving domain invariance. In our findings, risk distributions effectively highlight differences between training…

Machine Learning · Computer Science 2023-10-31 Toan Nguyen , Kien Do , Bao Duong , Thin Nguyen

In this paper, we propose a joint transceiver design for single-carrier frequency-domain equalization (SC-FDE) based multiple-input multiple-output (MIMO) relay systems. To this end, we first derive the optimal minimum mean-squared error…

Information Theory · Computer Science 2012-10-16 Peiran Wu , Robert Schober , Vijay Bhargava

Millimeter wave (mmWave) multi-user massive multi-input multi-output (MIMO) is a promising technique for the next generation communication systems. However, the hardware cost and power consumption grow significantly as the number of radio…

Signal Processing · Electrical Eng. & Systems 2021-06-09 Liangyuan Xu , Feifei Gao , Ting Zhou , Shaodan Ma , Wei Zhang

In this paper, colocated MIMO radar waveform design is considered by minimizing the integrated side-lobe level to obtain beam patterns with lower side-lobe levels than competing methods. First, a quadratic programming problem is formulated…

Information Theory · Computer Science 2018-07-24 Haisheng Xu , Rick S. Blum , Jian Wang , Jian Yuan

Inverse problems are often ill-posed and require optimization schemes with strong stability and convergence guarantees. While learning-based approaches such as deep unrolling and meta-learning achieve strong empirical performance, they…

Signal Processing · Electrical Eng. & Systems 2026-05-28 Le Minh Triet Tran , Sarah Reynaud , Ronan Fablet , Adrien Merlini , François Rousseau , Mai Quyen Pham

We investigate joint bistatic positioning (BP) and monostatic sensing (MS) within a multi-input multi-output orthogonal frequency-division system. Based on the derived Cram\'er-Rao Bounds (CRBs), we propose novel beamforming optimization…

Signal Processing · Electrical Eng. & Systems 2025-03-06 Yuchen Zhang , Hui Chen , Pinjun Zheng , Boyu Ning , Hong Niu , Henk Wymeersch , Tareq Y. Al-Naffouri

Covariance matrix estimation is a fundamental statistical task in many applications, but the sample covariance matrix is sub-optimal when the sample size is comparable to or less than the number of features. Such high-dimensional settings…

Methodology · Statistics 2022-06-06 Huiqin Xin , Sihai Dave Zhao

We consider the problem of estimating multiple related but distinct graphical models on the basis of a high-dimensional data set with observations that belong to distinct classes. A motivating example occurs in the analysis of gene…

Methodology · Statistics 2012-07-12 Patrick Danaher , Pei Wang , Daniela M. Witten

This paper presents a detailed theoretical analysis of the three stochastic approximation proximal gradient algorithms proposed in our companion paper [49] to set regularization parameters by marginal maximum likelihood estimation. We prove…

Statistics Theory · Mathematics 2020-08-14 Valentin De Bortoli , Alain Durmus , Ana F. Vidal , Marcelo Pereyra

Many imaging problems require solving an inverse problem that is ill-conditioned or ill-posed. Imaging methods typically address this difficulty by regularising the estimation problem to make it well-posed. This often requires setting the…

Methodology · Statistics 2020-08-17 Ana F. Vidal , Valentin De Bortoli , Marcelo Pereyra , Alain Durmus

In this paper, we study the problem of multi-band (frequency-variant) covariance interpolation with a particular emphasis towards massive MIMO applications. In a massive MIMO system, the communication between each BS with $M \gg 1$ antennas…

Information Theory · Computer Science 2018-01-12 Saeid Haghighatshoar , Mahdi Barzegar Khalilsarai , Giuseppe Caire

Model Agnostic Meta Learning (MAML) is widely used to find a good initialization for a family of tasks. Despite its success, a critical challenge in MAML is to calculate the gradient w.r.t. the initialization of a long training trajectory…

Machine Learning · Computer Science 2023-02-27 Shibo Li , Zheng Wang , Akil Narayan , Robert Kirby , Shandian Zhe

This paper studies the design of a decentralized multiuser multi-antenna (MIMO) system for spectrum sharing over a fixed narrow band, where the coexisting users independently update their transmit covariance matrices for individual…

Information Theory · Computer Science 2009-05-22 Rui Zhang , John M. Cioffi