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We propose a low-rank transformation-learning framework to robustify subspace clustering. Many high-dimensional data, such as face images and motion sequences, lie in a union of low-dimensional subspaces. The subspace clustering problem has…

Computer Vision and Pattern Recognition · Computer Science 2013-08-02 Qiang Qiu , Guillermo Sapiro

Machine learning and data mining algorithms are becoming increasingly important in analyzing large volume, multi-relational and multi--modal datasets, which are often conveniently represented as multiway arrays or tensors. It is therefore…

Numerical Analysis · Computer Science 2017-09-12 A. Cichocki , N. Lee , I. V. Oseledets , A. -H. Phan , Q. Zhao , D. Mandic

Short-term traffic forecasting based on deep learning methods, especially recurrent neural networks (RNN), has received much attention in recent years. However, the potential of RNN-based models in traffic forecasting has not yet been fully…

Machine Learning · Computer Science 2020-05-26 Zhiyong Cui , Ruimin Ke , Ziyuan Pu , Yinhai Wang

Learning from spatio-temporal data has numerous applications such as human-behavior analysis, object tracking, video compression, and physics simulation.However, existing methods still perform poorly on challenging video tasks such as…

Machine Learning · Computer Science 2020-10-06 Jiahao Su , Wonmin Byeon , Jean Kossaifi , Furong Huang , Jan Kautz , Animashree Anandkumar

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

Accurate state of charge estimation is critical for the success of electric vehicle battery management strategies, but it is well known that conventional estimators suffer from two fundamental shortcomings: cumulative errors that grow over…

Machine Learning · Computer Science 2026-05-14 Han Wang , Ying Wang , Bing Wang

Low-rank tensor completion recovers missing entries based on different tensor decompositions. Due to its outstanding performance in exploiting some higher-order data structure, low rank tensor ring has been applied in tensor completion. To…

Machine Learning · Computer Science 2020-07-14 Huyan Huang , Yipeng Liu , Ce Zhu

Tensor completion refers to the task of estimating the missing data from an incomplete measurement or observation, which is a core problem frequently arising from the areas of big data analysis, computer vision, and network engineering. Due…

Machine Learning · Computer Science 2021-05-21 Chenjian Pan , Chen Ling , Hongjin He , Liqun Qi , Yanwei Xu

Robust prediction of citywide traffic flows at different time periods plays a crucial role in intelligent transportation systems. While previous work has made great efforts to model spatio-temporal correlations, existing methods still…

Machine Learning · Computer Science 2024-03-07 Jiahao Ji , Jingyuan Wang , Chao Huang , Junjie Wu , Boren Xu , Zhenhe Wu , Junbo Zhang , Yu Zheng

Tucker decomposition has been widely used in a variety of applications to obtain latent factors of tensor data. In these applications, a common need is to compute Tucker decomposition for a given time range. Furthermore, real-world tensor…

Data Structures and Algorithms · Computer Science 2025-01-14 Ruizhong Qiu , Jun-Gi Jang , Xiao Lin , Lihui Liu , Hanghang Tong

When sensors collect spatio-temporal data in a large geographical area, the existence of missing data cannot be escaped. Missing data negatively impacts the performance of data analysis and machine learning algorithms. In this paper, we…

Machine Learning · Computer Science 2019-04-30 Reza Asadi , Amelia Regan

This paper proposes a novel approach to tensor completion, which recovers missing entries of data represented by tensors. The approach is based on the tensor train (TT) rank, which is able to capture hidden information from tensors thanks…

Numerical Analysis · Computer Science 2017-04-26 Johann A. Bengua , Ho N. Phien , Hoang D. Tuan , Minh N. Do

Tensor low-rank representation (TLRR) has demonstrated significant success in image clustering. However, most existing methods rely on fixed transformations and suffer from poor robustness to noise. In this paper, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Hui Chen , Xinjie Wang , Xianchao Xiu , Wanquan Liu

The efficient operation of modern cellular networks hinges on the accurate analysis of spatio-temporal traffic data. Mastering these patterns is essential for core network functions, chiefly forecasting future load to pre-empt congestion…

Machine Learning · Computer Science 2026-05-13 Yichen Zhang , Jun Li

Accurate traffic forecasting is a fundamental problem in intelligent transportation systems and learning long-range traffic representations with key information through spatiotemporal graph neural networks (STGNNs) is a basic assumption of…

Machine Learning · Computer Science 2024-03-26 Qinyao Luo , Silu He , Xing Han , Yuhan Wang , Haifeng Li

Time series classification with missing data is a prevalent issue in time series analysis, as temporal data often contain missing values in practical applications. The traditional two-stage approach, which handles imputation and…

Machine Learning · Computer Science 2024-08-13 Pengshuai Yao , Mengna Liu , Xu Cheng , Fan Shi , Huan Li , Xiufeng Liu , Shengyong Chen

Missing data is a challenge in many applications, including intelligent transportation systems (ITS). In this paper, we study traffic speed and travel time estimations in ITS, where portions of the collected data are missing due to sensor…

Machine Learning · Computer Science 2022-11-21 Bahareh Najafi , Saeedeh Parsaeefard , Alberto Leon-Garcia

Tensor completion is a fundamental tool for incomplete data analysis, where the goal is to predict missing entries from partial observations. However, existing methods often make the explicit or implicit assumption that the observed entries…

Machine Learning · Statistics 2022-03-18 Yuning Qiu , Guoxu Zhou , Qibin Zhao , Shengli Xie

Clinical measurements collected over time are naturally represented as multivariate time series (MTS), which often contain missing data. An autoencoder can learn low dimensional vectorial representations of MTS that preserve important data…

Neural and Evolutionary Computing · Computer Science 2017-10-23 Filippo Maria Bianchi , Karl Øyvind Mikalsen , Robert Jenssen

In this paper we focus on the problem of completion of multidimensional arrays (also referred to as tensors) from limited sampling. Our approach is based on a recently proposed tensor-Singular Value Decomposition (t-SVD) [1]. Using this…

Machine Learning · Computer Science 2015-03-02 Zemin Zhang , Shuchin Aeron