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We present an iterative algorithm, called the symmetric tensor eigen-rank-one iterative decomposition (STEROID), for decomposing a symmetric tensor into a real linear combination of symmetric rank-1 unit-norm outer factors using only…

Numerical Analysis · Mathematics 2016-02-18 Kim Batselier , Ngai Wong

Reconfigurable intelligent surfaces (RISs) are one of the foremost technological enablers of future wireless systems. They improve communication and localization by providing a strong non-line-of-sight path to the receiver. In this paper,…

Signal Processing · Electrical Eng. & Systems 2022-04-26 Kamran Keykhosravi , Henk Wymeersch

Reconfigurable intelligent surface (RIS) is a promising technology for future wireless communication systems. Channel estimation (CE) of RIS device is a critical but also challenging issue for its development. The mainstream of existing CE…

Information Theory · Computer Science 2023-08-29 Yanze Zhu , Yang Liu , Qingqing Wu , Changsheng You , Qingjiang Shi

We present an asymptotically faster algorithm for solving linear systems in well-structured 3-dimensional truss stiffness matrices. These linear systems arise from linear elasticity problems, and can be viewed as extensions of graph…

Data Structures and Algorithms · Computer Science 2018-05-25 Rasmus Kyng , Richard Peng , Robert Schwieterman , Peng Zhang

This paper investigates reconfigurable intelligent surface (RIS)-assisted full-duplex multiple-input single-output wireless system, where the beamforming and RIS phase shifts are optimized to maximize the sum-rate for both single and…

Signal Processing · Electrical Eng. & Systems 2022-08-17 Alice Faisal , Ibrahim Al-Nahhal , Octavia A. Dobre , Telex M. N. Ngatched

Tensor decompositions are promising tools for big data analytics as they bring multiple modes and aspects of data to a unified framework, which allows us to discover complex internal structures and correlations of data. Unfortunately most…

Numerical Analysis · Computer Science 2014-12-30 Guoxu Zhou , Andrzej Cichocki , Shengli Xie

Reconfigurable Intelligent Surface (RIS) panels are envisioned as a key technology for sixth-generation (6G) wireless networks, providing a cost-effective means to enhance coverage and spectral efficiency. A critical challenge is the…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Saifur Rahman , Syed Luqman Shah , Salman Khan , Jalal Khan , Muhammad Irfan , Maaz Shafi , Said Muhammad , Fazal Muhammad , Mohammad Shahed Akond

We study the estimation of a planted signal hidden in a recently introduced nested matrix-tensor model, which is an extension of the classical spiked rank-one tensor model, motivated by multi-view clustering. Prior work has theoretically…

Machine Learning · Statistics 2024-02-19 Hugo Lebeau , Mohamed El Amine Seddik , José Henrique de Morais Goulart

In this paper, we propose a novel network architecture for integrating terrestrial and non-terrestrial networks (NTNs) to establish connection between terrestrial ground stations which are unconnected due to blockage. We propose a new…

Signal Processing · Electrical Eng. & Systems 2023-07-17 Arman Azizi , Arman Farhang

Infinite projected entangled-pair states (iPEPS) provide a powerful tool for studying strongly correlated systems directly in the thermodynamic limit. A core component of the algorithm is the approximate contraction of the iPEPS, where the…

Strongly Correlated Electrons · Physics 2026-05-12 Yining Zhang , Qi Yang , Philippe Corboz

Tensors, which provide a powerful and flexible model for representing multi-attribute data and multi-way interactions, play an indispensable role in modern data science across various fields in science and engineering. A fundamental task is…

Machine Learning · Computer Science 2022-06-23 Tian Tong , Cong Ma , Ashley Prater-Bennette , Erin Tripp , Yuejie Chi

Directed networks are pervasive both in nature and engineered systems, often underlying the complex behavior observed in biological systems, microblogs and social interactions over the web, as well as global financial markets. Since their…

Machine Learning · Statistics 2017-06-07 Yanning Shen , Brian Baingana , Georgios B. Giannakis

In this letter, we investigate the transmission of a complex-valued parameter vector from a transmitter to an intended receiver, considering both the presence and absence of an eavesdropper. The direct links from the transmitter to both the…

Signal Processing · Electrical Eng. & Systems 2025-05-12 Özlem Tuğfe Demir , Sinan Gezici

We introduce a Tucker tensor cross approximation method that constructs a low-rank representation of a $d$-dimensional tensor by sparsely sampling its fibers. These fibers are selected using the discrete empirical interpolation method…

Numerical Analysis · Mathematics 2024-01-10 Behzad Ghahremani , Hessam Babaee

Tensor ring (TR) decomposition is a powerful tool for exploiting the low-rank nature of multiway data and has demonstrated great potential in a variety of important applications. In this paper, nonnegative tensor ring (NTR) decomposition…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Yuyuan Yu , Guoxu Zhou , Ning Zheng , Shengli Xie , Qibin Zhao

Decoupling is a powerful modeling paradigm for representing multivariate functions as compositions of linear transformations and univariate nonlinear functions. A single-layer decoupling can be viewed as a fully connected neural network…

Machine Learning · Computer Science 2026-05-20 Joppe De Jonghe , Van Tien Pham , Mariya Ishteva

In this paper, we consider nonconvex decentralised optimisation and learning over a network of distributed agents. We develop an ADMM algorithm based on the Randomised Block Coordinate Douglas-Rachford splitting method which enables agents…

Optimization and Control · Mathematics 2025-07-31 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

Recent research and development interests deal with metasurfaces for wireless systems beyond their consideration as intelligent tunable reflectors. Among the latest proposals is the simultaneously transmitting (a.k.a. refracting) and…

Signal Processing · Electrical Eng. & Systems 2023-02-08 Jiguang He , Aymen Fakhreddine , George C. Alexandropoulos

Decompositions of tensors into factor matrices, which interact through a core tensor, have found numerous applications in signal processing and machine learning. A more general tensor model which represents data as an ordered network of…

Numerical Analysis · Computer Science 2016-09-30 Anh-Huy Phan , Andrzej Cichocki , Andre Uschmajew , Petr Tichavsky , George Luta , Danilo Mandic

Traditional statistical optimization-based state estimation (DSSE) algorithms rely on detailed grid parameters and mathematical assumptions of all possible uncertainties. Furthermore, random data missing due to communication failures,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Ying Zhang , Yihao Wang , Yuanshuo Zhang , Eric Larson , Di Shi , Fanping Sui
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