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The problem of fitting a union of subspaces to a collection of data points drawn from multiple subspaces is considered in this paper. In the traditional low rank representation model, the dictionary used to represent the data points is…

Computer Vision and Pattern Recognition · Computer Science 2016-10-31 Yu Song , Yiquan Wu

Trajectory representation learning is a fundamental task for applications in fields including smart city, and urban planning, as it facilitates the utilization of trajectory data (e.g., vehicle movements) for various downstream…

Machine Learning · Computer Science 2025-01-03 Stefan Schestakov , Simon Gottschalk

Traffic forecasting is essential for the traffic construction of smart cities in the new era. However, traffic data's complex spatial and temporal dependencies make traffic forecasting extremely challenging. Most existing traffic…

Machine Learning · Computer Science 2022-10-03 Wei Zhao , Shiqi Zhang , Bing Zhou , Bei Wang

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

Traffic data exhibits complex temporal, spatial, and spatial-temporal correlations. Most of models use either independent modules to separately extract temporal and spatial correlations or joint modules to synchronously extract them,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-14 Kai Hu , Zhidan Zhao , Zhifeng Hao

Accurate spatial-temporal traffic flow forecasting is essential for helping traffic managers to take control measures and drivers to choose the optimal travel routes. Recently, graph convolutional networks (GCNs) have been widely used in…

Machine Learning · Computer Science 2022-12-13 Qin Li , Xuan Yang , Yong Wang , Yuankai Wu , Deqiang He

In urban computing, precise and swift forecasting of multivariate time series data from traffic networks is crucial. This data incorporates additional spatial contexts such as sensor placements and road network layouts, and exhibits complex…

Machine Learning · Computer Science 2024-12-19 Tongtong Zhang , Zhiyong Cui , Bingzhang Wang , Yilong Ren , Haiyang Yu , Pan Deng , Yinhai Wang

Trajectory Representation Learning (TRL) is a powerful tool for spatial-temporal data analysis and management. TRL aims to convert complicated raw trajectories into low-dimensional representation vectors, which can be applied to various…

Machine Learning · Computer Science 2024-03-08 Jiawei Jiang , Dayan Pan , Houxing Ren , Xiaohan Jiang , Chao Li , Jingyuan Wang

The monitoring of water quality is a crucial part of environmental protection, and a large number of monitors are widely deployed to monitor water quality. Due to unavoidable factors such as data acquisition breakdowns, sensors and…

Machine Learning · Computer Science 2025-04-22 Xin Liao , Bing Yang , Tan Dongli , Cai Yu

Traffic forecasting is an indispensable part of Intelligent transportation systems (ITS), and long-term network-wide accurate traffic speed forecasting is one of the most challenging tasks. Recently, deep learning methods have become…

Artificial Intelligence · Computer Science 2021-04-13 Haoyang Yan , Xiaolei Ma

Traffic forecasting is the foundation for intelligent transportation systems. Spatiotemporal graph neural networks have demonstrated state-of-the-art performance in traffic forecasting. However, these methods do not explicitly model some of…

Machine Learning · Computer Science 2024-03-05 Qipeng Qian , Tanwi Mallick

Large amounts of traffic can lead to negative effects such as increased car accidents, air pollution, and significant time wasted. Understanding traffic speeds on any given road segment can be highly beneficial for traffic management…

Machine Learning · Computer Science 2024-11-04 Alexandru T. Cismaru

Temporal logic is a concise way of specifying complex tasks. But motion planning to achieve temporal logic specifications is difficult, and existing methods struggle to scale to complex specifications and high-dimensional system dynamics.…

Robotics · Computer Science 2023-06-02 Vince Kurtz , Hai Lin

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

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

With the progress of the urbanisation process, the urban transportation system is extremely critical to the development of cities and the quality of life of the citizens. Among them, it is one of the most important tasks to judge traffic…

Machine Learning · Computer Science 2023-08-17 Bodong Zhou , Jiahui Liu , Songyi Cui , Yaping Zhao

We consider a Canonical Polyadic (CP) decomposition approach to low-rank tensor completion (LRTC) by incorporating external pairwise similarity relations through graph Laplacian regularization on the CP factor matrices. The usage of graph…

Numerical Analysis · Mathematics 2023-11-14 Yu Guan , Shuyu Dong , Bin Gao , P. -A. Absil , François Glineur

Geometric variations like rotation, scaling, and viewpoint changes pose a significant challenge to visual understanding. One common solution is to directly model certain intrinsic structures, e.g., using landmarks. However, it then becomes…

Machine Learning · Statistics 2020-10-13 Xiuyuan Cheng , Zichen Miao , Qiang Qiu

Vehicle trajectory data collected via GPS-enabled devices have played increasingly important roles in estimating network-wide traffic, given their broad spatial-temporal coverage and representativeness of traffic dynamics. This paper…

Physics and Society · Physics 2018-10-01 Jielun Liu , Ke Han , Xiqun , Chen , Ghim Ping Ong

Predicting the future paths of an agent's neighbors accurately and in a timely manner is central to the autonomous applications for collision avoidance. Conventional approaches, e.g., LSTM-based models, take considerable computational costs…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Chengxin Wang , Shaofeng Cai , Gary Tan