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Multi-dimensional data completion is a critical problem in computational sciences, particularly in domains such as computer vision, signal processing, and scientific computing. Existing methods typically leverage either global low-rank…

Machine Learning · Computer Science 2025-08-07 Wenwu Gong , Lili Yang

The low-tubal-rank tensor model has been recently proposed for real-world multidimensional data. In this paper, we study the low-tubal-rank tensor completion problem, i.e., to recover a third-order tensor by observing a subset of its…

Machine Learning · Computer Science 2016-10-12 Xiao-Yang Liu , Shuchin Aeron , Vaneet Aggarwal , Xiaodong Wang

Non-random missing data is a ubiquitous yet undertreated flaw in multidimensional time series, fundamentally threatening the reliability of data-driven analysis and decision-making. Pure low-rank tensor completion, as a classical data…

Machine Learning · Computer Science 2025-12-12 Hao Shu , Jicheng Li , Yu Jin , Ling Zhou

Efficiently capturing the complex spatiotemporal representations from large-scale unlabeled traffic data remains to be a challenging task. In considering of the dilemma, this work employs the advanced contrastive learning and proposes a…

Machine Learning · Computer Science 2023-12-19 Lincan Li , Kaixiang Yang , Fengji Luo , Jichao Bi

Low rank tensor representation underpins much of recent progress in tensor completion. In real applications, however, this approach is confronted with two challenging problems, namely (1) tensor rank determination; (2) handling real tensor…

Computer Vision and Pattern Recognition · Computer Science 2017-08-04 Lei Zhang , Wei Wei , Qinfeng Shi , Chunhua Shen , Anton van den Hengel , Yanning Zhang

Real-world spatio-temporal data is often incomplete or inaccurate due to various data loading delays. For example, a location-disease-time tensor of case counts can have multiple delayed updates of recent temporal slices for some locations…

Machine Learning · Computer Science 2021-05-13 Cheng Qian , Nikos Kargas , Cao Xiao , Lucas Glass , Nicholas Sidiropoulos , Jimeng Sun

Traffic prediction, an essential component for intelligent transportation systems, endeavours to use historical data to foresee future traffic features at specific locations. Although existing traffic prediction models often emphasize…

Machine Learning · Computer Science 2024-07-09 Chenxi Liu , Sun Yang , Qianxiong Xu , Zhishuai Li , Cheng Long , Ziyue Li , Rui Zhao

Large-scale data missing is a challenging problem in Intelligent Transportation Systems (ITS). Many studies have been carried out to impute large-scale traffic data by considering their spatiotemporal correlations at a network level. In…

Machine Learning · Computer Science 2023-01-30 Kunpeng Zhang , Lan Wu , Liang Zheng , Na Xie , Zhengbing He

Recently, a tensor factorization based method for a low tubal rank tensor completion problem of a third order tensor was proposed, which performed better than some existing methods. Tubal rank is only defined on one mode of third order…

Optimization and Control · Mathematics 2024-08-20 Quan Yu , Xinzhen Zhang , Zheng-Hai Huang

Spatiotemporal traffic data imputation is of great significance in intelligent transportation systems and data-driven decision-making processes. To perform efficient learning and accurate reconstruction from partially observed traffic data,…

Machine Learning · Computer Science 2025-04-17 Xinyu Chen , Zhanhong Cheng , HanQin Cai , Nicolas Saunier , Lijun Sun

Low-rank tensor completion (LRTC) aims to recover a complete low-rank tensor from incomplete observed tensor, attracting extensive attention in various practical applications such as image processing and computer vision. However, current…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Hongbing Zhang

Spatiotemporal data analysis is pivotal across various domains, such as transportation, meteorology, and healthcare. The data collected in real-world scenarios are often incomplete due to device malfunctions and network errors.…

Machine Learning · Computer Science 2024-03-25 Yakun Chen , Kaize Shi , Zhangkai Wu , Juan Chen , Xianzhi Wang , Julian McAuley , Guandong Xu , Shui Yu

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro

Missing data in financial panels presents a critical obstacle, undermining asset-pricing models and reducing the effectiveness of investment strategies. Such panels are often inherently multi-dimensional, spanning firms, time, and financial…

Applications · Statistics 2025-10-09 Junyi Mo , Jiayu Li , Duo Zhang , Elynn Chen

In recent years, low-rank tensor completion (LRTC) has received considerable attention due to its applications in image/video inpainting, hyperspectral data recovery, etc. With different notions of tensor rank (e.g., CP, Tucker, tensor…

Machine Learning · Statistics 2020-10-30 Yunfeng Cai , Ping Li

There has been increased interest in missing sensor data imputation, which is ubiquitous in the field of structural health monitoring (SHM) due to discontinuous sensing caused by sensor malfunction. To address this fundamental issue, this…

Machine Learning · Computer Science 2020-07-20 Pu Ren , Xinyu Chen , Lijun Sun , Hao Sun

Tensor data often suffer from missing value problem due to the complex high-dimensional structure while acquiring them. To complete the missing information, lots of Low-Rank Tensor Completion (LRTC) methods have been proposed, most of which…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Zhebin Wu , Tianchi Liao , Chuan Chen , Cong Liu , Zibin Zheng , Xiongjun Zhang

In intelligent transportation systems (ITS), traffic management departments rely on sensors, cameras, and GPS devices to collect real-time traffic data. Traffic speed data is often incomplete due to sensor failures, data transmission…

Machine Learning · Computer Science 2025-04-25 Jiawen Hou , Hao Wu

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

Tensors, which provide a powerful and flexible model for representing multi-attribute data and multi-way interactions, play an indispensable role in modern data science across various fields in science and engineering. A fundamental task is…

Machine Learning · Computer Science 2022-06-23 Tian Tong , Cong Ma , Ashley Prater-Bennette , Erin Tripp , Yuejie Chi