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Spatio-temporal forecasting of future values of spatially correlated time series is important across many cyber-physical systems (CPS). Recent studies offer evidence that the use of graph neural networks to capture latent correlations…

Machine Learning · Computer Science 2023-12-29 Minbo Ma , Jilin Hu , Christian S. Jensen , Fei Teng , Peng Han , Zhiqiang Xu , Tianrui Li

Unsupervised anomaly detection in time series is essential in industrial applications, as it significantly reduces the need for manual intervention. Multivariate time series pose a complex challenge due to their feature and temporal…

Machine Learning · Computer Science 2024-08-26 Zhe Liu , Xiang Huang , Jingyun Zhang , Zhifeng Hao , Li Sun , Hao Peng

To bridge the temporal granularity gap in energy network design and operation based on Energy System Models, resampling of time series is required. While conventional upsampling methods are computationally efficient, they often result in…

Machine Learning · Computer Science 2026-02-16 Xuanhao Mu , Gökhan Demirel , Yuzhe Zhang , Jianlei Liu , Thorsten Schlachter , Veit Hagenmeyer

Optimizing the execution time of tensor program, e.g., a convolution, involves finding its optimal configuration. Searching the configuration space exhaustively is typically infeasible in practice. In line with recent research using TVM, we…

Machine Learning · Statistics 2019-11-28 Jakub M. Tomczak , Romain Lepert , Auke Wiggers

Tensor networks have in recent years emerged as the powerful tools for solving the large-scale optimization problems. One of the most popular tensor network is tensor train (TT) decomposition that acts as the building blocks for the…

Numerical Analysis · Computer Science 2016-06-20 Qibin Zhao , Guoxu Zhou , Shengli Xie , Liqing Zhang , Andrzej Cichocki

The key problem in multivariate time series (MTS) analysis and forecasting aims to disclose the underlying couplings between variables that drive the co-movements. Considerable recent successful MTS methods are built with graph neural…

Machine Learning · Computer Science 2022-10-11 Kun Yi , Qi Zhang , Liang Hu , Hui He , Ning An , LongBing Cao , ZhenDong Niu

Temporal graph neural networks (TGNNs) outperform regular GNNs by incorporating time information into graph-based operations. However, TGNNs adopt specialized models (e.g., TGN, TGAT, and APAN ) and require tailored training frameworks…

Machine Learning · Computer Science 2024-09-19 Qiang Huang , Xiao Yan , Xin Wang , Susie Xi Rao , Zhichao Han , Fangcheng Fu , Wentao Zhang , Jiawei Jiang

Graph condensation (GC) aims to distill the original graph into a small-scale graph, mitigating redundancy and accelerating GNN training. However, conventional GC approaches heavily rely on rigid GNNs and task-specific supervision. Such a…

Machine Learning · Computer Science 2025-09-19 Yeyu Yan , Shuai Zheng , Wenjun Hui , Xiangkai Zhu , Dong Chen , Zhenfeng Zhu , Yao Zhao , Kunlun He

Molecular dynamics simulations produce data with complex nonlinear dynamics. If the timestep behavior of such a dynamic system can be represented by a linear operator, future states can be inferred directly without expensive simulations.…

Machine Learning · Computer Science 2021-05-27 Willis Hoke , Daniel Shea , Stephen Casey

Accurately predicting long-horizon molecular dynamics (MD) trajectories remains a significant challenge, as existing deep learning methods often struggle to retain fidelity over extended simulations. We hypothesize that one key factor…

Machine Learning · Computer Science 2025-07-01 Fang Sun , Zijie Huang , Haixin Wang , Huacong Tang , Xiao Luo , Wei Wang , Yizhou Sun

Many irregular domains such as social networks, financial transactions, neuron connections, and natural language constructs are represented using graph structures. In recent years, a variety of graph neural networks (GNNs) have been…

Machine Learning · Computer Science 2021-05-03 Osman Asif Malik , Shashanka Ubaru , Lior Horesh , Misha E. Kilmer , Haim Avron

Recently, the pretrain-finetuning paradigm has attracted tons of attention in graph learning community due to its power of alleviating the lack of labels problem in many real-world applications. Current studies use existing techniques, such…

Machine Learning · Computer Science 2022-05-11 Jiying Zhang , Xi Xiao , Long-Kai Huang , Yu Rong , Yatao Bian

Recently, transformers have shown promising performance in learning graph representations. However, there are still some challenges when applying transformers to real-world scenarios due to the fact that deep transformers are hard to train…

Machine Learning · Computer Science 2022-05-13 Sixiao Zhang , Hongxu Chen , Haoran Yang , Xiangguo Sun , Philip S. Yu , Guandong Xu

Temporal knowledge graph completion (TKGC) has become a popular approach for reasoning over the event and temporal knowledge graphs, targeting the completion of knowledge with accurate but missing information. In this context, tensor…

Machine Learning · Computer Science 2022-04-12 Ioannis Dikeoulias , Saadullah Amin , Günter Neumann

Tensor train (TT) decomposition has drawn people's attention due to its powerful representation ability and performance stability in high-order tensors. In this paper, we propose a novel approach to recover the missing entries of incomplete…

Numerical Analysis · Computer Science 2018-12-03 Longhao Yuan , Qibin Zhao , Lihua Gui , Jianting Cao

Graph-based spatio-temporal neural networks are effective to model the spatial dependency among discrete points sampled irregularly from unstructured grids, thanks to the great expressiveness of graph neural networks. However, these models…

Machine Learning · Computer Science 2022-04-22 Haitao Lin , Guojiang Zhao , Lirong Wu , Stan Z. Li

A data-driven framework is proposed towards the end of predictive modeling of complex spatio-temporal dynamics, leveraging nested non-linear manifolds. Three levels of neural networks are used, with the goal of predicting the future state…

Computational Physics · Physics 2020-09-14 Jiayang Xu , Karthik Duraisamy

Time-varying graph signals are alternative representation of multivariate (or multichannel) signals in which a single time-series is associated with each of the nodes or vertex of a graph. Aided by the graph-theoretic tools, time-varying…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Naveed ur Rehman

We study low rank approximation of tensors, focusing on the tensor train and Tucker decompositions, as well as approximations with tree tensor networks and more general tensor networks. For tensor train decomposition, we give a bicriteria…

Data Structures and Algorithms · Computer Science 2023-11-28 Arvind V. Mahankali , David P. Woodruff , Ziyu Zhang

The recent deep generative models for static graphs that are now being actively developed have achieved significant success in areas such as molecule design. However, many real-world problems involve temporal graphs whose topology and…

Machine Learning · Computer Science 2021-03-09 Liming Zhang , Liang Zhao , Shan Qin , Dieter Pfoser