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This work presents joint iterative power allocation and interference suppression algorithms for spread spectrum networks which employ multiple hops and the amplify-and-forward cooperation strategy for both the uplink and the downlink. We…

Information Theory · Computer Science 2013-01-03 Rodrigo C. de Lamare

Low-rank matrix approximation is one of the central concepts in machine learning, with applications in dimension reduction, de-noising, multivariate statistical methodology, and many more. A recent extension to LRMA is called low-rank…

Machine Learning · Statistics 2021-09-24 Elena Tuzhilina , Trevor Hastie

The low-rank approximation is a complexity reduction technique to approximate a tensor or a matrix with a reduced rank, which has been applied to the simulation of high dimensional problems to reduce the memory required and computational…

Computational Physics · Physics 2020-08-26 Zhuogang Peng , Ryan McClarren , Martin Frank

Many computer vision problems can be posed as learning a low-dimensional subspace from high dimensional data. The low rank matrix factorization (LRMF) represents a commonly utilized subspace learning strategy. Most of the current LRMF…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Xiangyong Cao , Qian Zhao , Deyu Meng , Yang Chen , Zongben Xu

The low-rank matrix completion problem can be solved by Riemannian optimization on a fixed-rank manifold. However, a drawback of the known approaches is that the rank parameter has to be fixed a priori. In this paper, we consider the…

Optimization and Control · Mathematics 2022-02-21 Bin Gao , P. -A. Absil

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

To realize mmWave massive MIMO systems in practice, Beamspace MIMO with beam selection provides an attractive solution at a considerably reduced number of radio frequency (RF) chains. We propose low-complexity beam selection algorithms…

Information Theory · Computer Science 2022-07-12 Jinxing Yang , Jihong Yu , Shuai Wang , Hao Liu

We develop two iterative algorithms for solving the low rank phase retrieval (LRPR) problem. LRPR refers to recovering a low-rank matrix $\X$ from magnitude-only (phaseless) measurements of random linear projections of its columns. Both…

Information Theory · Computer Science 2017-08-02 Namrata Vaswani , Seyedehsara Nayer , Yonina C. Eldar

In this paper, we address the problem of robust adaptive beamforming of signals received by a linear array. The challenge associated with the beamforming problem is twofold. Firstly, the process requires the inversion of the usually…

Information Theory · Computer Science 2016-11-22 Mohamed Suliman , Tarig Ballal , Tareq Y. Al-Naffouri

Reduced-rank regression is a dimensionality reduction method with many applications. The asymptotic theory for reduced rank estimators of parameter matrices in multivariate linear models has been studied extensively. In contrast, few…

Statistics Theory · Mathematics 2017-10-13 Efstathia Bura , Sabrina Duarte , Liliana Forzani , Ezequiel Smucler , Mariela Sued

Computing the dominant eigenvalue is important in nuclear systems as it determines the stability of the system (i.e. whether the system is sub or supercritical). Recently, the work of Kusch, Whewell, McClarren and Frank \cite{KWMF} showed…

Numerical Analysis · Mathematics 2024-09-24 C. Scalone , L. Einkemmer , J. Kusch , R. J. McClarren

This paper tackles the problem of joint active and passive beamforming optimization for an intelligent reflective surface (IRS)-assisted multi-user downlink multiple-input multiple-output (MIMO) communication system. We aim to maximize…

Information Theory · Computer Science 2021-06-17 Haseeb Ur Rehman , Faouzi Bellili , Amine Mezghani , and Ekram Hossain

We show that the maximization of the sum degrees-of-freedom for the static flat-fading multiple-input multiple-output (MIMO) interference channel is equivalent to a rank constrained rank minimization problem (RCRM), when the signal spaces…

Information Theory · Computer Science 2015-03-17 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Low-rank learning has attracted much attention recently due to its efficacy in a rich variety of real-world tasks, e.g., subspace segmentation and image categorization. Most low-rank methods are incapable of capturing low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Ping Li , Jun Yu , Meng Wang , Luming Zhang , Deng Cai , Xuelong Li

Low-rank modeling has many important applications in computer vision and machine learning. While the matrix rank is often approximated by the convex nuclear norm, the use of nonconvex low-rank regularizers has demonstrated better empirical…

Machine Learning · Computer Science 2018-07-25 Quanming Yao , James T. Kwok , Taifeng Wang , Tie-Yan Liu

Robust parameter estimation is a crucial task in several 3D computer vision pipelines such as Structure from Motion (SfM). State-of-the-art algorithms for robust estimation, however, still suffer from difficulties in converging to…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Huu Le , Christopher Zach

In this paper, a recursive least squares (RLS) based blind adaptive beamforming algorithm that features a new variable forgetting factor (VFF) mechanism is presented. The beamformer is designed according to the constrained constant modulus…

Other Computer Science · Computer Science 2014-06-27 Q. Boya , Y. Cai , B. Champagne , R. C. de Lamare , M. Zhao

Structural matrix-variate observations routinely arise in diverse fields such as multi-layer network analysis and brain image clustering. While data of this type have been extensively investigated with fruitful outcomes being delivered, the…

Statistics Theory · Mathematics 2022-01-25 Zhongyuan Lyu , Dong Xia

In this work, we propose a novel adaptive reduced-rank strategy based on joint interpolation, decimation and filtering (JIDF) for large multiuser multiple-input multiple-output (MIMO) systems. In this scheme, a reduced-rank framework is…

Information Theory · Computer Science 2013-03-18 Y. Cai , R. C. de Lamare

In this paper, we propose a new algorithm for recovery of low-rank matrices from compressed linear measurements. The underlying idea of this algorithm is to closely approximate the rank function with a smooth function of singular values,…

Information Theory · Computer Science 2016-11-18 Mohammadreza Malek-Mohammadi , Massoud Babaie-Zadeh , Mikael Skoglund