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The Canonical Polyadic decomposition (CPD) is a convenient and intuitive tool for tensor factorization; however, for higher-order tensors, it often exhibits high computational cost and permutation of tensor entries, these undesirable…

数值分析 · 计算机科学 2018-09-05 Anh-Huy Phan , Andrzej Cichocki , Ivan Oseledets , Salman Ahmadi Asl , Giuseppe Calvi , Danilo Mandic

We consider the problem of downlink channel estimation for millimeter wave (mmWave) MIMO-OFDM systems, where both the base station (BS) and the mobile station (MS) employ large antenna arrays for directional precoding/beamforming. Hybrid…

信息论 · 计算机科学 2016-11-02 Zhou Zhou , Jun Fang , Linxiao Yang , Hongbin Li , Zhi Chen , Rick S. Blum

Accurate channel state information in wideband multiple-input multiple-output (MIMO) systems is fundamentally constrained by pilot overhead, a challenge that intensifies as antenna counts and bandwidths scale toward 6G. This paper proposes…

信号处理 · 电气工程与系统科学 2026-03-03 Alexandre Barbosa de Lima

Canonical Polyadic (or CANDECOMP/PARAFAC, CP) decompositions (CPD) are widely applied to analyze high order tensors. Existing CPD methods use alternating least square (ALS) iterations and hence need to unfold tensors to each of the $N$…

数值分析 · 计算机科学 2013-06-27 Guoxu Zhou , Andrzej Cichocki , Shengli Xie

Accurate channel state information (CSI) prediction is crucial for next-generation multiple-input multiple-output (MIMO) communication systems. Classical prediction methods often become inefficient for high-dimensional and rapidly…

信息论 · 计算机科学 2026-03-17 Irina Kopnina , Dmitry Artemasov , Sergey Matveev

In this letter, we investigate the channel estimation problem for MIMO wireless communication systems with movable antennas (MAs) at both the transmitter (Tx) and receiver (Rx). To achieve high channel estimation accuracy with low pilot…

信号处理 · 电气工程与系统科学 2025-01-07 Ruoyu Zhang , Lei Cheng , Wei Zhang , Xinrong Guan , Yueming Cai , Wen Wu , Rui Zhang

The tensor rank decomposition, also known as canonical polyadic(CP) or simply tensor decomposition, has a long history in multilinear algebra. However, computing a rank decomposition becomes particularly challenging when the rank lies…

最优化与控制 · 数学 2025-11-11 Zequn Zheng , Hongchao Zhang , Guangming Zhou

Acoustic monitoring for machine fault detection is a recent and expanding research path that has already provided promising results for industries. However, it is impossible to collect enough data to learn all types of faults from a…

机器学习 · 统计学 2022-06-14 Gaetan Frusque , Gabriel Michau , Olga Fink

In this paper, we develop a method which we call OnlineGCP for computing the Generalized Canonical Polyadic (GCP) tensor decomposition of streaming data. GCP differs from traditional canonical polyadic (CP) tensor decompositions as it…

数值分析 · 数学 2021-10-28 Eric Phipps , Nick Johnson , Tamara G. Kolda

Physiological signals are often organized in the form of multiple dimensions (e.g., channel, time, task, and 3D voxel), so it is better to preserve original organization structure when processing. Unlike vector-based methods that destroy…

计算机视觉与模式识别 · 计算机科学 2019-07-31 Junhua Li , Chao Li , Andrzej Cichocki

In this paper, a numerical method is proposed for canonical polyadic (CP) decomposition of small size tensors. The focus is primarily on decomposition of tensors that correspond to small matrix multiplications. Here, rank of the tensors is…

数值分析 · 数学 2016-03-07 Petr Tichavsky , Anh Huy Phan , Andrzej Cichocki

We consider the problem of downlink channel estimation for intelligent reflecting surface (IRS)-assisted millimeter Wave (mmWave) orthogonal frequency division multiplexing (OFDM) systems. By exploring the inherent sparse scattering…

信号处理 · 电气工程与系统科学 2022-03-31 Xi Zheng , Peilan Wang , Jun Fang , Hongbin Li

In this paper, the canonical polyadic (CP) decomposition of tensors that corresponds to matrix multiplications is studied. Finding the rank of these tensors and computing the decompositions is a fundamental problem of algebraic complexity…

计算复杂性 · 计算机科学 2021-04-13 Petr Tichavsky

This paper proposes a new Threshold Tensor Factor Model in Canonical Polyadic (CP) form for tensor time series. By integrating a thresholding autoregressive structure for the latent factor process into the tensor factor model in CP form,…

统计方法学 · 统计学 2025-11-26 Stevenson Bolivar , Rong Chen , Yuefeng Han

Spatial channel covariance information can replace full instantaneous channel state information for the analog precoder design in hybrid analog/digital architectures. Obtaining spatial channel covariance estimation, however, is challenging…

信号处理 · 电气工程与系统科学 2019-02-19 Sungwoo Park , Anum Ali , Nuria González-Prelcic , Robert W. Heath

We address the problem of tensor decomposition in application to direction-of-arrival (DOA) estimation for transmit beamspace (TB) multiple-input multiple-output (MIMO) radar. A general 4-order tensor model that enables computationally…

信息论 · 计算机科学 2022-06-29 Feng Xu , Matthew W. Morency , Sergiy A. Vorobyov

Canonical Polyadic (CP) tensor decomposition is a workhorse algorithm for discovering underlying low-dimensional structure in tensor data. This is accomplished in conventional CP decomposition by fitting a low-rank tensor to data with…

数值分析 · 数学 2026-01-12 Alex Mulrooney , David Hong

The CANDECOMP/PARAFAC (CP) tensor decomposition is a popular dimensionality-reduction method for multiway data. Dimensionality reduction is often sought after since many high-dimensional tensors have low intrinsic rank relative to the…

数值分析 · 计算机科学 2020-03-16 N. Benjamin Erichson , Krithika Manohar , Steven L. Brunton , J. Nathan Kutz

This letter introduces a structured high-rank tensor approach for estimating sub-6G uplink channels in multi-user multiple-input and multiple-output (MU-MIMO) systems. To tackle the difficulty of channel estimation in sub-6G bands with…

信号处理 · 电气工程与系统科学 2024-09-04 Panqi Chen , Lei Cheng

We propose a novel algorithm for the computation of canonical polyadic decomposition (CPD) of large-scale tensors. The proposed algorithm generalizes the random projection (RAP) technique, which is often used to compute large-scale…

机器学习 · 计算机科学 2021-05-11 Lu-Ming Wang , Ya-Nan Wang , Xiao-Feng Gong , Qiu-Hua Lin , Fei Xiang
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