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In an intelligent transportation system, the key problem of traffic forecasting is how to extract periodic temporal dependencies and complex spatial correlations. Current state-of-the-art methods for predicting traffic flow are based on…

Machine Learning · Computer Science 2022-03-01 Zichuan Liu , Rui Zhang , Chen Wang , Zhu Xiao , Hongbo Jiang

Tucker decomposition is the cornerstone of modern machine learning on tensorial data analysis, which have attracted considerable attention for multiway feature extraction, compressive sensing, and tensor completion. The most challenging…

Machine Learning · Computer Science 2015-05-12 Qibin Zhao , Liqing Zhang , Andrzej Cichocki

Spatiotemporal traffic data (e.g., link speed/flow) collected from sensor networks can be organized as multivariate time series with additional spatial attributes. A crucial task in analyzing such data is to identify and detect anomalous…

Machine Learning · Computer Science 2021-10-12 Xudong Wang , Luis Miranda-Moreno , Lijun Sun

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

As a regression technique in spatial statistics, the spatiotemporally varying coefficient model (STVC) is an important tool for discovering nonstationary and interpretable response-covariate associations over both space and time. However,…

Machine Learning · Statistics 2024-05-17 Mengying Lei , Aurelie Labbe , Lijun Sun

Intelligent medical diagnosis has shown remarkable progress based on the large-scale datasets with precise annotations. However, fewer labeled images are available due to significantly expensive cost for annotating data by experts. To fully…

Image and Video Processing · Electrical Eng. & Systems 2023-03-06 Wentao Lei , Lei Liu , Li Liu

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

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

Time Series data are broadly studied in various domains of transportation systems. Traffic data area challenging example of spatio-temporal data, as it is multi-variate time series with high correlations in spatial and temporal…

Machine Learning · Computer Science 2021-07-06 Reza Asadi , Amelia Regan

Data missing is an common issue in seismic data, and many methods have been proposed to solve it. In this paper, we present the low-tubal-rank tensor model and a novel tensor completion algorithm to recover 3D seismic data. This is a fast…

Computational Engineering, Finance, and Science · Computer Science 2017-04-11 Feng Qian , Quan Chen , Ming-Jun Su , Guang-Min Hu , Xiao-Yang Liu

Spatiotemporal learning is challenging due to the intricate interplay between spatial and temporal dependencies, the high dimensionality of the data, and scalability constraints. These challenges are further amplified in scientific domains,…

Machine Learning · Computer Science 2025-04-17 David Keetae Park , Xihaier Luo , Guang Zhao , Seungjun Lee , Miruna Oprescu , Shinjae Yoo

Remotely sensed images may contain some missing areas because of poor weather conditions and sensor failure. Information of those areas may play an important role in the interpretation of multitemporal remotely sensed data. The paper aims…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Teng-Yu Ji , Naoto Yokoya , Xiao Xiang Zhu , Ting-Zhu Huang

This paper considers the completion problem for a tensor (also referred to as a multidimensional array) from limited sampling. Our greedy method is based on extending the low-rank approximation pursuit (LRAP) method for matrix completions…

Numerical Analysis · Mathematics 2020-04-21 An-Bao Xu

Tensor clustering has become an important topic, specifically in spatio-temporal modeling, due to its ability to cluster spatial modes (e.g., stations or road segments) and temporal modes (e.g., time of the day or day of the week). Our…

Methodology · Statistics 2024-04-09 Jiuyun Hu , Ziyue Li , Chen Zhang , Fugee Tsung , Hao Yan

To efficiently express tensor data using the Tucker format, a critical task is to minimize the multilinear rank such that the model would not be over-flexible and lead to overfitting. Due to the lack of rank minimization tools in tensor,…

Signal Processing · Electrical Eng. & Systems 2024-09-11 Xueke Tong , Hancheng Zhu , Lei Cheng , Yik-Chung Wu

Predicting spatio-temporal traffic flow presents significant challenges due to complex interactions between spatial and temporal factors. Existing approaches often address these dimensions in isolation, neglecting their critical…

Artificial Intelligence · Computer Science 2024-11-15 Weilin Ruan , Wenzhuo Wang , Siru Zhong , Wei Chen , Li Liu , Yuxuan Liang

This study aims to solve the over-reliance on the rank estimation strategy in the standard tensor factorization-based tensor recovery and the problem of a large computational cost in the standard t-SVD-based tensor recovery. To this end, we…

Machine Learning · Computer Science 2023-05-22 Jingjing Zheng , Wenzhe Wang , Xiaoqin Zhang , Xianta Jiang

Robust tensor completion (RTC) aims to recover a low-rank tensor from its incomplete observation with outlier corruption. The recently proposed tensor ring (TR) model has demonstrated superiority in solving the RTC problem. However, the…

Machine Learning · Computer Science 2023-02-16 Zhenhao Huang , Yuning Qiu , Xinqi Chen , Weijun Sun , Guoxu Zhou

Tensors of order three or higher have found applications in diverse fields, including image and signal processing, data mining, biomedical engineering and link analysis, to name a few. In many applications that involve for example time…

Data Structures and Algorithms · Computer Science 2018-09-05 Davoud Ataee Tarzanagh , George Michailidis

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