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To achieve a reliable communication with short data blocks, we propose a novel decoding strategy for Kronecker-structured constant modulus signals that provides low bit error ratios (BERs) especially in the low energy per bit to noise power…

Signal Processing · Electrical Eng. & Systems 2020-06-05 Fazal-E-Asim , André L. F. de Almeida , Martin Haardt , Charles C. Cavalcante , Josef A. Nossek

This letter proposes a Message Passing (MP) based algorithm for demodulating the time-encoded digital modulation signal. The proposed algorithm processes the spikes generated by the Time-Encoding Machine (TEM) directly on a per-spike basis,…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Yuan Xu , Wenhui Xiong

This paper proposes a tensor-based parameter estimation algorithm for sensing in an intelligent reflecting surface-assisted system. We present a higher-order singular value decomposition-based solution that exploits the tensor structure of…

Signal Processing · Electrical Eng. & Systems 2026-05-29 Kenneth B. A. Benício , Bruno Sokal , André L. F. de Almeida , Fazal-E-Asim , Behrooz Makki , Gábor Fodor

In this paper, we focus on developing randomized algorithms for the computation of low multilinear rank approximations of tensors based on the random projection and the singular value decomposition. Following the theory of the singular…

Numerical Analysis · Mathematics 2020-03-20 Maolin Che , Yimin Wei , Hong Yan

We investigate fully asynchronous unsourced random access (URA), and propose a high-performing scheme that employs on-off division multiple access (ODMA). In this scheme, active users distribute their data over the transmit block based on a…

Signal Processing · Electrical Eng. & Systems 2025-04-16 Mert Ozates , Mohammad Kazemi , Gianluigi Liva , Deniz Gündüz

Information is extracted from large and sparse data sets organized as 3-mode tensors. Two methods are described, based on best rank-(2,2,2) and rank-(2,2,1) approximation of the tensor. The first method can be considered as a generalization…

Numerical Analysis · Mathematics 2021-02-09 L. Eldén , Maryam Dehghan

Tensors in the form of multilinear arrays are ubiquitous in data science applications. Captured real-world data, including video, hyperspectral images, and discretized physical systems, naturally occur as tensors and often come with…

Machine Learning · Computer Science 2023-03-13 Jonathan Gryak , Kayvan Najarian , Harm Derksen

We consider the problem of low-rank decomposition of incomplete multiway tensors. Since many real-world data lie on an intrinsically low dimensional subspace, tensor low-rank decomposition with missing entries has applications in many data…

Numerical Analysis · Computer Science 2016-08-24 Linxiao Yang , Jun Fang , Hongbin Li , Bing Zeng

Motivated by applications in unsourced random access, this paper develops a novel scheme for the problem of compressed sensing of binary signals. In this problem, the goal is to design a sensing matrix $A$ and a recovery algorithm, such…

Information Theory · Computer Science 2021-09-21 Elad Romanov , Or Ordentlich

Tensor networks provide compact and scalable representations of high-dimensional data, enabling efficient computation in fields such as quantum physics, numerical partial differential equations (PDEs), and machine learning. This paper…

Numerical Analysis · Mathematics 2025-08-28 Julia Wei , Alec Dektor , Chungen Shen , Zaiwen Wen , Chao Yang

Tensor decomposition is a mathematically supported technique for data compression. It consists of applying some kind of a Low Rank Decomposition technique on the tensors or matrices in order to reduce the redundancy of the data. However, it…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Austin Wen , Yang Liu

Tensor network decompositions offer an efficient description of certain many-body states of a lattice system and are the basis of a wealth of numerical simulation algorithms. In a recent paper [arXiv:0907.2994v1] we discussed how to…

Strongly Correlated Electrons · Physics 2011-06-01 Sukhwinder Singh , Robert N. C. Pfeifer , Guifre Vidal

Tensor clustering has become an important topic, specifically in spatio-temporal modeling, due to its ability to cluster spatial modes (e.g., stations or road segments) and temporal modes (e.g., time of the day or day of the week). Our…

Methodology · Statistics 2024-04-09 Jiuyun Hu , Ziyue Li , Chen Zhang , Fugee Tsung , Hao Yan

Tensor decomposition is an important technique for capturing the high-order interactions among multiway data. Multi-linear tensor composition methods, such as the Tucker decomposition and the CANDECOMP/PARAFAC (CP), assume that the complex…

Machine Learning · Statistics 2016-11-04 Bin Liu , Zenglin Xu , Yingming Li

Current wireless networks are designed to optimize spectral efficiency for human users, who typically require sustained connections for high-data-rate applications like file transfers and video streaming. However, these networks are…

Information Theory · Computer Science 2025-09-30 Kirill Andreev , Pavel Rybin , Alexey Frolov

Modeling of multidimensional signal using tensor is more convincing than representing it as a collection of matrices. The tensor based approaches can explore the abundant spatial and temporal structures of the mutlidimensional signal. The…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Baburaj Madathil , Sameera V Mohd Sagheer , Abdu Rahiman , Anju Jose Tom , Baiju P S , Jobin Francis , Sudhish N. George

We consider unsourced random access (uRA) in user-centric cell-free (CF) wireless networks, where random access users send codewords from a common codebook during specifically dedicated random access channel (RACH) slots. The system is…

Information Theory · Computer Science 2024-08-16 Eleni Gkiouzepi , Burak Çakmak , Manfred Opper , Giuseppe Caire

Tensors of order three or higher have found applications in diverse fields, including image and signal processing, data mining, biomedical engineering and link analysis, to name a few. In many applications that involve for example time…

Data Structures and Algorithms · Computer Science 2018-09-05 Davoud Ataee Tarzanagh , George Michailidis

Tensors play a central role in many modern machine learning and signal processing applications. In such applications, the target tensor is usually of low rank, i.e., can be expressed as a sum of a small number of rank one tensors. This…

Machine Learning · Statistics 2015-05-18 Parikshit Shah , Nikhil Rao , Gongguo Tang

Random projection (RP) have recently emerged as popular techniques in the machine learning community for their ability in reducing the dimension of very high-dimensional tensors. Following the work in [30], we consider a tensorized random…

Machine Learning · Computer Science 2022-02-04 Beheshteh T. Rakhshan , Guillaume Rabusseau
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