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Low-rank tensor representation (LRTR) has emerged as a powerful tool for multi-dimensional data processing. However, classical LRTR-based methods face two critical limitations: (1) they typically assume that the holistic data is low-rank,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Zhizhou Wang , Jianli Wang , Ruijing Zheng , Zhenyu Wu

Higher-order low-rank tensors naturally arise in many applications including hyperspectral data recovery, video inpainting, seismic data recon- struction, and so on. We propose a new model to recover a low-rank tensor by simultaneously…

Numerical Analysis · Computer Science 2015-07-07 Yangyang Xu , Ruru Hao , Wotao Yin , Zhixun Su

Low-rank representation learning has emerged as a powerful tool for recovering missing values in power load data due to its ability to exploit the inherent low-dimensional structures of spatiotemporal measurements. Among various techniques,…

Machine Learning · Computer Science 2025-06-24 Yan Xia , Hao Feng , Hongwei Sun , Junjie Wang , Qicong Hu

Higher-order low-rank tensor arises in many data processing applications and has attracted great interests. Inspired by low-rank approximation theory, researchers have proposed a series of effective tensor completion methods. However, most…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Haijin Zeng , Xiaozhen Xie , Jifeng Ning

Traffic data imputation is a critical preprocessing step in intelligent transportation systems, underpinning the reliability of downstream transportation services. Despite substantial progress in imputation models, model selection and…

Machine Learning · Computer Science 2025-10-21 Shengnan Guo , Tonglong Wei , Yiheng Huang , Yan Lin , Zekai Shen , Yujuan Dong , Junliang Lin , Youfang Lin , Huaiyu Wan

Recently, tensor data (or multidimensional array) have been generated in many modern applications, such as functional magnetic resonance imaging (fMRI) in neuroscience and videos in video analysis. Many efforts are made in recent years to…

Machine Learning · Computer Science 2023-08-10 Jiaqi Zhang , Yinghao Cai , Zhaoyang Wang , Beilun Wang

Spatiotemporal trajectory data is crucial for various applications. However, issues such as device malfunctions and network instability often cause sparse trajectories, leading to lost detailed movement information. Recovering the missing…

Machine Learning · Computer Science 2025-02-12 Tonglong Wei , Yan Lin , Youfang Lin , Shengnan Guo , Jilin Hu , Haitao Yuan , Gao Cong , Huaiyu Wan

Tensor train (TT) decomposition has drawn people's attention due to its powerful representation ability and performance stability in high-order tensors. In this paper, we propose a novel approach to recover the missing entries of incomplete…

Numerical Analysis · Computer Science 2018-12-03 Longhao Yuan , Qibin Zhao , Lihua Gui , Jianting Cao

In intelligent transport systems, it is common and inevitable with missing data. While complete and valid traffic speed data is of great importance to intelligent transportation systems. A latent factorization-of-tensors (LFT) model is one…

Machine Learning · Computer Science 2023-04-24 Jiajia Mi

Low rank tensor ring model is powerful for image completion which recovers missing entries in data acquisition and transformation. The recently proposed tensor ring (TR) based completion algorithms generally solve the low rank optimization…

Machine Learning · Statistics 2021-04-07 Zhen Long , Ce Zhu , Jiani Liu , Yipeng Liu

Accurate vehicle trajectory prediction is essential for ensuring safety and efficiency in fully autonomous driving systems. While existing methods primarily focus on modeling observed motion patterns and interactions with other vehicles,…

Machine Learning · Computer Science 2025-07-15 Xinyi Ning , Zilin Bian , Dachuan Zuo , Semiha Ergan

Purpose: This paper aims to enhance bearing fault diagnosis in industrial machinery by introducing a novel method that combines Graph Attention Network (GAT) and Long Short-Term Memory (LSTM) networks. This approach captures both spatial…

Spatiotemporal (ST) data collected by sensors can be represented as multi-variate time series, which is a sequence of data points listed in an order of time. Despite the vast amount of useful information, the ST data usually suffer from the…

Machine Learning · Computer Science 2023-04-20 Li Jiang , Ting Zhang , Qiruyi Zuo , Chenyu Tian , George P. Chan , Wai Kin , Chan

Traditional vision-based autonomous driving systems often face difficulties in navigating complex environments when relying solely on single-image inputs. To overcome this limitation, incorporating temporal data such as past image frames or…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Tuong Do , Binh X. Nguyen , Quang D. Tran , Erman Tjiputra , Te-Chuan Chiu , Anh Nguyen

In this paper, we propose a novel tensor learning and coding model for third-order data completion. Our model is to learn a data-adaptive dictionary from the given observations, and determine the coding coefficients of third-order tensor…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Tai-Xiang Jiang , Xi-Le Zhao , Hao Zhang , Michael K. Ng

Multiway data often naturally occurs in a tensorial format which can be approximately represented by a low-rank tensor decomposition. This is useful because complexity can be significantly reduced and the treatment of large-scale data sets…

Machine Learning · Computer Science 2021-08-10 Clara Menzen , Manon Kok , Kim Batselier

In this paper, the tracking control problem of a class of Euler-Lagrange systems subjected to unknown uncertainties is addressed and an adaptive-robust control strategy, christened as Time-Delayed Adaptive Robust Control (TARC) is…

Systems and Control · Computer Science 2018-05-10 Spandan Roy , Indra Narayan Kar

Spatiotemporal data is very common in many applications, such as manufacturing systems and transportation systems. It is typically difficult to be accurately predicted given intrinsic complex spatial and temporal correlations. Most of the…

Machine Learning · Computer Science 2020-04-24 Ziyue Li , Hao Yan , Chen Zhang , Fugee Tsung

This article investigates the problem of noisy low-rank matrix completion with a shared factor structure, leveraging the auxiliary information from the missing indicator matrix to enhance prediction accuracy. Despite decades of development…

Methodology · Statistics 2025-04-08 Yuanhong A , Xinyan Fan , Bingyi Jing , Bo Zhang

Tensor completion can estimate missing values of a high-order data from its partially observed entries. Recent works show that low rank tensor ring approximation is one of the most powerful tools to solve tensor completion problem. However,…

Numerical Analysis · Mathematics 2021-01-03 Abdul Ahad , Zhen Long , Ce Zhu , Yipeng Liu
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