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Data quality is critical to Intelligent Transportation Systems (ITS), as complete and accurate traffic data underpin reliable decision-making in traffic control and management. Recent advances in low-rank tensor recovery algorithms have…

Machine Learning · Computer Science 2025-11-04 Yiyang Yang , Xiejian Chi , Shanxing Gao , Kaidong Wang , Yao Wang

In intelligent transportation systems, traffic data imputation, estimating the missing value from partially observed data is an inevitable and challenging task. Previous studies have not fully considered traffic data's multidimensionality…

Machine Learning · Statistics 2023-11-01 Wenwu Gong , Zhejun Huang , Lili Yang

Spatiotemporal traffic time series, such as traffic speed data, collected from sensing systems are often incomplete, with considerable corruption and large amounts of missing values. A vast amount of data conceals implicit data structures,…

Optimization and Control · Mathematics 2025-04-04 Junxi Man , Yumin Lin , Xiaoyu Li

Missing data is an inevitable and common problem in data-driven intelligent transportation systems (ITS). In the past decade, scholars have done many research on the recovery of missing traffic data, however how to make full use of…

Signal Processing · Electrical Eng. & Systems 2022-08-17 Yuting Ding , Di Wu

Event detection is gaining increasing attention in smart cities research. Large-scale mobility data serves as an important tool to uncover the dynamics of urban transportation systems, and more often than not the dataset is incomplete. In…

Signal Processing · Electrical Eng. & Systems 2019-08-28 Yue Hu , Dan Work

Real-time network traffic forecasting is crucial for network management and early resource allocation. Existing network traffic forecasting approaches operate under the assumption that the network traffic data is fully observed. However, in…

Networking and Internet Architecture · Computer Science 2025-06-12 Lei Deng , Wenhan Xu , Jingwei Li , Danny H. K. Tsang

Tensor completion is an extension of matrix completion aimed at recovering a multiway data tensor by leveraging a given subset of its entries (observations) and the pattern of observation. The low-rank assumption is key in establishing a…

Numerical Analysis · Mathematics 2026-03-12 Shakir Showkat Sofi , Lieven De Lathauwer

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

Effective management of urban traffic is important for any smart city initiative. Therefore, the quality of the sensory traffic data is of paramount importance. However, like any sensory data, urban traffic data are prone to imperfections…

Machine Learning · Computer Science 2021-03-16 Ahmed Ben Said , Abdelkarim Erradi

Accurate traffic prediction is crucial to the guidance and management of urban traffics. However, most of the existing traffic prediction models do not consider the computational burden and memory space when they capture spatial-temporal…

Machine Learning · Computer Science 2021-03-11 Xuran Xu , Tong Zhang , Chunyan Xu , Zhen Cui , Jian Yang

Traffic data chronically suffer from missing and corruption, leading to accuracy and utility reduction in subsequent Intelligent Transportation System (ITS) applications. Noticing the inherent low-rank property of traffic data, numerous…

Machine Learning · Computer Science 2022-09-29 Yang He , Yuheng Jia , Liyang Hu , Chengchuan An , Zhenbo Lu , Jingxin Xia

The advancement of sensing technology has driven the widespread application of high-dimensional data. However, issues such as missing entries during acquisition and transmission negatively impact the accuracy of subsequent tasks. Tensor…

Image and Video Processing · Electrical Eng. & Systems 2025-04-09 Jie Yang , Chang Su , Yuhan Zhang , Jianjun Zhu , Jianli Wang

Tensor completion aims to recover the missing entries of a partially observed tensor by exploiting its low-rank structure, and has been applied to visual data recovery. In applications where the data arrives sequentially such as streaming…

Computer Vision and Pattern Recognition · Computer Science 2022-08-15 Yicong He , George K. Atia

In this paper, we study a Bayesian tensor train (TT) decomposition method to recover streaming data by approximating the latent structure in high-order streaming data. Drawing on the streaming variational Bayes method, we introduce the TT…

Machine Learning · Computer Science 2024-02-29 Yunyu Huang , Yani Feng , Qifeng Liao

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

Higher-order tensors have received increased attention across science and engineering. While most tensor decomposition methods are developed for a single tensor observation, scientific studies often collect side information, in the form of…

Methodology · Statistics 2021-10-29 Jiaxin Hu , Chanwoo Lee , Miaoyan Wang

This paper proposes a novel formulation of the tensor completion problem to impute missing entries of data represented by tensors. The formulation is introduced in terms of tensor train (TT) rank which can effectively capture global…

Numerical Analysis · Computer Science 2016-01-07 Ho N. Phien , Hoang D. Tuan , Johann A. Bengua , Minh N. Do

Tensor train (TT) format is a common approach for computationally efficient work with multidimensional arrays, vectors, matrices, and discretized functions in a wide range of applications, including computational mathematics and machine…

Numerical Analysis · Mathematics 2022-09-30 Andrei Chertkov , Gleb Ryzhakov , Georgii Novikov , Ivan Oseledets

We study the recovery of the underlying graphs or permutations for tensors in the tensor ring or tensor train format. Our proposed algorithms compare the matricization ranks after down-sampling, whose complexity is $O(d\log d)$ for $d$-th…

Numerical Analysis · Mathematics 2024-04-04 Ziang Chen , Jianfeng Lu , Anru R. Zhang

The tensor-train (TT) format is a data-sparse tensor representation commonly used in high dimensional function approximations arising from computational and data sciences. Various sequential and parallel TT decomposition algorithms have…

Numerical Analysis · Mathematics 2025-09-05 Tianyi Shi , Daniel Hayes , Jing-Mei Qiu
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