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The canonical polyadic (CP) decomposition is one of the most widely used tensor decomposition techniques. The conventional CP decomposition algorithm combines alternating least squares (ALS) with the normal equation. However, the normal…

Numerical Analysis · Mathematics 2025-10-28 Wenchao Xie , Jiawei Xu , Zheng Peng , Qingsong Wang

With the rapid development of smart distribution networks (DNs), the integrity and accuracy of grid measurement data are crucial to the safety and stability of the entire system. However, the quality of the user power consumption data…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Tao Xu , Kaiqi Wang , Jiadong Zhang , Ji Qiao , Zixuan Zhao , Hong Zhu , Kai Sun

Dimension reduction techniques are often used when the high-dimensional tensor has relatively low intrinsic rank compared to the ambient dimension of the tensor. The CANDECOMP/PARAFAC (CP) tensor completion is a widely used approach to find…

Numerical Analysis · Mathematics 2021-04-01 Jiahua Jiang , Fatoumata Sanogo , Carmeliza Navasca

The emerging Learned Compression (LC) replaces the traditional codec modules with Deep Neural Networks (DNN), which are trained end-to-end for rate-distortion performance. This approach is considered as the future of image/video…

Image and Video Processing · Electrical Eng. & Systems 2024-07-08 Farhad Pakdaman , Moncef Gabbouj

Existing Data Parallel (DP) trainings for deep neural networks (DNNs) often experience limited scalability in speedup due to substantial communication overheads. While Overlapping technique can mitigate such problem by paralleling…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-09 Lin Meng , Yuzhong Sun , Weimin Li

$\rm{SO}(3)$-equivariant networks are the dominant models for machine learning interatomic potentials (MLIPs). The key operation of such networks is the Clebsch-Gordan (CG) tensor product, which is computationally expensive. To accelerate…

Machine Learning · Computer Science 2026-01-14 Yuchao Lin , Cong Fu , Zachary Krueger , Haiyang Yu , Maho Nakata , Jianwen Xie , Emine Kucukbenli , Xiaofeng Qian , Shuiwang Ji

The CANDECOMP/PARAFAC (or Canonical polyadic, CP) decomposition of tensors has numerous applications in various fields, such as chemometrics, signal processing, machine learning, etc. Tensor CP decomposition assumes the knowledge of the…

Numerical Analysis · Mathematics 2025-01-08 Zihao Wang , Minru Bai , Liang Chen , Xueying Zhao

In this work, the problem of communication and radar sensing in orthogonal time frequency space (OTFS) with reduced cyclic prefix (RCP) is addressed. A monostatic integrated sensing and communications (ISAC) system is developed and, it is…

Signal Processing · Electrical Eng. & Systems 2025-04-30 Mauro Marchese , Musa Furkan Keskin , Pietro Savazzi , Henk Wymeersch

The CP tensor decomposition is a low-rank approximation of a tensor. We present a distributed-memory parallel algorithm and implementation of an alternating optimization method for computing a CP decomposition of dense tensor data that can…

Numerical Analysis · Computer Science 2018-06-22 Grey Ballard , Koby Hayashi , Ramakrishnan Kannan

We consider the problem of channel estimation and joint active and passive beamforming for reconfigurable intelligent surface (RIS) assisted millimeter wave (mmWave) multiple-input multiple-output (MIMO) orthogonal frequency division…

Signal Processing · Electrical Eng. & Systems 2022-10-05 Xi Zheng , Jun Fang , Hongwei Wang , Peilan Wang , Hongbin Li

In this paper, we present a deep learning (DL) algorithm for channel estimation in communication systems. We consider the time-frequency response of a fast fading communication channel as a two-dimensional image. The aim is to find the…

Information Theory · Computer Science 2019-02-20 Mehran Soltani , Vahid Pourahmadi , Ali Mirzaei , Hamid Sheikhzadeh

This paper proposes a channel estimation method for Multiple-Input Multiple-Output (MIMO) systems based on Canonical Polyadic (CP) decomposition applied to a mode-factorized tensor representation of the channel. The proposed approach…

Information Theory · Computer Science 2026-05-20 Alexander Blagodarnyi , Alexander Sherstobitov , Vladimir Lyashev

This paper proposes a deep learning-based channel estimation method for multi-cell interference-limited massive MIMO systems, in which base stations equipped with a large number of antennas serve multiple single-antenna users. The proposed…

Signal Processing · Electrical Eng. & Systems 2019-08-02 Eren Balevi , Akash Doshi , Jeffrey G. Andrews

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…

Signal Processing · Electrical Eng. & Systems 2022-03-31 Xi Zheng , Peilan Wang , Jun Fang , Hongbin Li

There is growing interest to extend low-rank matrix decompositions to multi-way arrays, or tensors. One fundamental low-rank tensor decomposition is the canonical polyadic decomposition (CPD). The challenge of fitting a low-rank,…

Numerical Analysis · Mathematics 2024-07-15 Jeremy M. Myers , Daniel M. Dunlavy

Channel estimation and signal detection are very challenging for an orthogonal frequency division multiplexing (OFDM) system without cyclic prefix (CP). In this article, deep learning based on orthogonal approximate message passing…

Signal Processing · Electrical Eng. & Systems 2019-05-08 Jing Zhang , Hengtao He , Chao-Kai Wen , Shi Jin , Geoffrey Ye Li

Structural Health Monitoring (SHM) provides an economic approach which aims to enhance understanding the behavior of structures by continuously collects data through multiple networked sensors attached to the structure. This data is then…

Machine Learning · Computer Science 2021-11-05 Ali Anaissi , Basem Suleiman , Seid Miad Zandavi

The problem of incomplete data - i.e., data with missing or unknown values - in multi-way arrays is ubiquitous in biomedical signal processing, network traffic analysis, bibliometrics, social network analysis, chemometrics, computer vision,…

Numerical Analysis · Mathematics 2015-03-17 Evrim Acar , Tamara G. Kolda , Daniel M. Dunlavy , Morten Morup

In this paper, we propose a joint pilot design and channel estimation scheme based on the deep learning (DL) technique for multiuser multiple-input multiple output (MIMO) channels. To this end, we construct a pilot designer using two-layer…

Information Theory · Computer Science 2018-12-12 Chang-Jae Chun , Jae-Mo Kang , Il-Min Kim

Most of the existing work on FPGA acceleration of Convolutional Neural Network (CNN) focus on employing a single strategy (algorithm, dataflow, etc.) across all the layers. Such an approach does not achieve optimal latency on complex and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-16 Yuan Meng , Sanmukh Kuppannagari , Rajgopal Kannan , Viktor Prasanna