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We introduce tensor Interpolative Decomposition (tensor ID) for the reduction of the separation rank of Canonical Tensor Decompositions (CTDs). Tensor ID selects, for a user-defined accuracy \epsilon, a near optimal subset of terms of a CTD…

Numerical Analysis · Mathematics 2013-12-18 David J. Biagioni , Daniel Beylkin , Gregory Beylkin

With powerful ability to exploit latent structure of self-representation information, different tensor decompositions have been employed into low rank multi-view clustering (LRMVC) models for achieving significant performance. However,…

Machine Learning · Computer Science 2022-10-25 Yingcong Lu , Yipeng Liu , Zhen Long , Zhangxin Chen , Ce Zhu

We consider the line spectral estimation problem which aims to recover a mixture of complex sinusoids from a small number of randomly observed time domain samples. Compressed sensing methods formulates line spectral estimation as a sparse…

Numerical Analysis · Computer Science 2015-12-11 Jun Fang , Linxiao Yang , Hongbin Li

Canonical Polyadic Decomposition (CPD) represents a third-order tensor as the minimal sum of rank-1 terms. Because of its uniqueness properties the CPD has found many concrete applications in telecommunication, array processing, machine…

Spectral Theory · Mathematics 2019-12-06 Ignat Domanov , Lieven De Lathauwer

Canonical Polyadic Decomposition (CPD) of a higher-order tensor is decomposition in a minimal number of rank-1 tensors. We give an overview of existing results concerning uniqueness. We present new, relaxed, conditions that guarantee…

Spectral Theory · Mathematics 2013-07-05 Ignat Domanov , Lieven De Lathauwer

We propose super-resolution MIMO channel estimators for millimeter-wave (mmWave) systems that employ hybrid analog and digital beamforming and generalized spatial modulation, respectively. Exploiting the inherent sparsity of mmWave…

Information Theory · Computer Science 2018-01-24 Hongyun Chu , Le Zheng , Xiaodong Wang

Millimeter wave multiple-input multiple-output (MIMO) communication systems must operate over sparse wireless links and will require large antenna arrays to provide high throughput. To achieve sufficient array gains, these systems must…

Signal Processing · Electrical Eng. & Systems 2019-04-17 Wei Zhang , Taejoon Kim , David J. Love

We consider to model matrix time series based on a tensor CP-decomposition. Instead of using an iterative algorithm which is the standard practice for estimating CP-decompositions, we propose a new and one-pass estimation procedure based on…

Methodology · Statistics 2023-11-15 Jinyuan Chang , Jing He , Lin Yang , Qiwei Yao

Channel estimation at millimeter wave (mmWave) is challenging when large antenna arrays are used. Prior work has leveraged the sparse nature of mmWave channels via compressed sensing based algorithms for channel estimation. Most of these…

Information Theory · Computer Science 2018-06-19 Nitin Jonathan Myers , Robert W. Heath

In this paper, we propose a low-complexity beamspace channel denoising algorithm for millimeter-wave (mmWave) massive multi-input multi-output (MIMO) systems with low-resolution analog-to-digital converters (ADCs). The proposed method…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Hanyoung Park , Eunho Kim , Ji-Woong Choi

This paper investigates robust semantic communications over multiple-input multiple-output (MIMO) fading channels. Current semantic communications over MIMO channels mainly focus on channel adaptive encoding and decoding, which lacks…

Information Theory · Computer Science 2024-07-09 Yiheng Duan , Tong Wu , Zhiyong Chen , Meixia Tao

Holographic multiple-input multiple-output (MIMO) systems constitute a promising technology in support of next-generation wireless communications, thus paving the way for a smart programmable radio environment. However, despite its…

Information Theory · Computer Science 2024-05-28 Yuanbin Chen , Ying Wang , Zhaocheng Wang , Ping Zhang

CANDECOMP/PARAFAC (CP) decomposition has been widely used to deal with multi-way data. For real-time or large-scale tensors, based on the ideas of randomized-sampling CP decomposition algorithm and online CP decomposition algorithm, a novel…

Machine Learning · Computer Science 2020-07-22 Congbo Ma , Xiaowei Yang , Hu Wang

Performance tuning, software/hardware co-design, and job scheduling are among the many tasks that rely on models to predict application performance. We propose and evaluate low-rank tensor decomposition for modeling application performance.…

Performance · Computer Science 2023-08-30 Edward Hutter , Edgar Solomonik

Hybrid beamforming has evolved as a promising technology that offers the balance between system performance and design complexity in mmWave MIMO systems. Existing hybrid beamforming methods either impose unit-modulus constraints or a…

Signal Processing · Electrical Eng. & Systems 2022-12-01 Mohamed Salah Ibrahim , Akshay Malhotra , Mihaela Beluri , Arnab Roy , Shahab Hamidi-Rad

This paper introduces a new multivariate convolutional sparse coding based on tensor algebra with a general model enforcing both element-wise sparsity and low-rankness of the activations tensors. By using the CP decomposition, this model…

Machine Learning · Statistics 2019-08-12 Pierre Humbert , Julien Audiffren , Laurent Oudre , Nicolas Vayatis

Affine Frequency Division Multiplexing (AFDM) has emerged as a promising chirp-based multicarrier technology for high-speed communication systems. To fully exploit the diversity gain offered by AFDM, accurate channel estimation is…

Information Theory · Computer Science 2026-03-23 Ruizhe Wang , Cunhua Pan , Hong Ren , Haisu Wu , Jiangzhou Wang

We propose a new model for multi-token prediction in transformers, aiming to enhance sampling efficiency without compromising accuracy. Motivated by recent work that predicts the probabilities of subsequent tokens using multiple heads, we…

Machine Learning · Computer Science 2025-02-11 Artem Basharin , Andrei Chertkov , Ivan Oseledets

Tensors are ubiquitous in science and engineering and tensor factorization approaches have become important tools for the characterization of higher order structure. Factorizations includes the outer-product rank Canonical Polyadic…

Machine Learning · Statistics 2023-10-05 Jesper Løve Hinrich , Morten Mørup

We propose an empirical method for identifying low damped modes and corresponding mode shapes using frequency measurements from a Wide Area Monitoring System. The method consists of two main steps: Firstly, Complex Principal Component…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hallvar Haugdal , Kjetil Uhlen
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