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Low-rank tensor recovery problems have been widely studied in many applications of signal processing and machine learning. Tucker decomposition is known as one of the most popular decompositions in the tensor framework. In recent years,…

Numerical Analysis · Mathematics 2020-07-17 Rachel Grotheer , Shuang Li , Anna Ma , Deanna Needell , Jing Qin

Tensor decomposition is a powerful computational tool for multiway data analysis. Many popular tensor decomposition approaches---such as the Tucker decomposition and CANDECOMP/PARAFAC (CP)---amount to multi-linear factorization. They are…

Machine Learning · Computer Science 2012-01-17 Zenglin Xu , Feng Yan , Yuan , Qi

Given sparse multi-dimensional data (e.g., (user, movie, time; rating) for movie recommendations), how can we discover latent concepts/relations and predict missing values? Tucker factorization has been widely used to solve such problems…

Numerical Analysis · Computer Science 2018-06-05 Sejoon Oh , Namyong Park , Lee Sael , U Kang

Traffic forecasting in Intelligent Transportation Systems (ITS) is vital for intelligent traffic prediction. Yet, ITS often relies on data from traffic sensors or vehicle devices, where certain cities might not have all those smart devices…

Machine Learning · Computer Science 2024-10-22 Kishor Kumar Bhaumik , Minha Kim , Fahim Faisal Niloy , Amin Ahsan Ali , Simon S. Woo

Tensor train (TT) factorization and corresponding TT rank, which can well express the low-rankness and mode correlations of higher-order tensors, have attracted much attention in recent years. However, TT factorization based methods are…

Image and Video Processing · Electrical Eng. & Systems 2022-05-09 Gaohang Yu , Shaochun Wan , Liqun Qi , Yanwei Xu

In this paper, we have proposed STC-GEF, a novel Spatio-Temporal Cross-platform Graph Embedding Fusion approach for the urban traffic flow prediction. We have designed a spatial embedding module based on graph convolutional networks (GCN)…

Machine Learning · Computer Science 2022-08-23 Mahan Tabatabaie , James Maniscalco , Connor Lynch , Suining He

Faster pathfinding in time-dependent transport networks is an important and challenging problem in navigation systems. There are two main types of transport networks: road networks for car driving and public transport route network. The…

Data Structures and Algorithms · Computer Science 2024-10-24 Andrii Rohovyi , Peter J. Stuckey , Toby Walsh

Tensor computation has emerged as a powerful mathematical tool for solving high-dimensional and/or extreme-scale problems in science and engineering. The last decade has witnessed tremendous advancement of tensor computation and its…

Signal Processing · Electrical Eng. & Systems 2019-07-05 Kaiqi Zhang , Xiyuan Zhang , Zheng Zhang

We study the low-rank phase retrieval problem, where the objective is to recover a sequence of signals (typically images) given the magnitude of linear measurements of those signals. Existing solutions involve recovering a matrix…

Image and Video Processing · Electrical Eng. & Systems 2022-02-18 Soo Min Kwon , Xin Li , Anand D. Sarwate

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

Semi-Lagrangian (SL) schemes are highly efficient for simulating transport equations and are widely used across various applications. Despite their success, designing genuinely multi-dimensional and conservative SL schemes remains a…

Numerical Analysis · Mathematics 2024-05-06 Yongsheng Chen , Wei Guo , Xinghui Zhong

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

In this paper, we first present a centralized traffic control model based on the emerging dynamic path flows. This new model in essence views the whole target network as one integral piece in which traffic propagates based on traffic flow…

Systems and Control · Computer Science 2018-11-13 Peirong Wang , Pengfei Li , Farzana Chowdhury , Li Zhang

The tensor-train (TT) format is a data-sparse tensor representation commonly used in high dimensional data approximations. In order to represent data with interpretability in data science, researchers develop data-centric skeletonized low…

Numerical Analysis · Mathematics 2026-02-10 Daniel Hayes , Jing-Mei Qiu , Tianyi Shi

The tensor-train (TT) decomposition is widely used to compress large tensors into a more compact form by exploiting their inherent data structures. A fundamental approach for constructing the TT format is the well-known TT-SVD method, which…

Numerical Analysis · Mathematics 2026-05-26 Yuchao Wang , Maolin Che , Yimin Wei

Accurate vehicle type classification serves a significant role in the intelligent transportation system. It is critical for ruler to understand the road conditions and usually contributive for the traffic light control system to response…

Computer Vision and Pattern Recognition · Computer Science 2022-09-28 Ruikang Luo , Yaofeng Song , Han Zhao , Yicheng Zhang , Yi Zhang , Nanbin Zhao , Liping Huang , Rong Su

Deep neural networks (DNNs) have become indispensable in many real-life applications like natural language processing, and autonomous systems. However, deploying DNNs on resource-constrained devices, e.g., in RISC-V platforms, remains…

Machine Learning · Computer Science 2026-02-03 Theologos Anthimopoulos , Milad Kokhazadeh , Vasilios Kelefouras , Benjamin Himpel , Georgios Keramidas

A reliable controller is critical and essential for the execution of safe and smooth maneuvers of an autonomous vehicle.The controller must be robust to external disturbances, such as road surface, weather, and wind conditions, and so on.It…

Robotics · Computer Science 2019-05-01 Tianyu Shi , Pin Wang , Ching-Yao Chan , Chonghao Zou

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

Link prediction in dynamic networks remains a fundamental challenge in network science, requiring the inference of potential interactions and their evolving strengths through spatiotemporal pattern analysis. Traditional static network…

Machine Learning · Computer Science 2025-06-09 Qu Wang , Yan Xia