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Exogenous variables offer valuable supplementary information for predicting future endogenous variables. Forecasting with exogenous variables needs to consider both past-to-future dependencies (i.e., temporal correlations) and the influence…

Machine Learning · Computer Science 2026-05-04 Zhengyu Li , Xiangfei Qiu , Yuhan Zhu , Xingjian Wu , Jilin Hu , Chenjuan Guo , Bin Yang

Traffic flow forecasting on graphs has real-world applications in many fields, such as transportation system and computer networks. Traffic forecasting can be highly challenging due to complex spatial-temporal correlations and non-linear…

Machine Learning · Computer Science 2022-07-13 Aosong Feng , Leandros Tassiulas

Graph Neural Networks (GNNs) are emerging as powerful tools for nonlinear Model Order Reduction (MOR) of time-dependent parameterized Partial Differential Equations (PDEs). However, existing methodologies struggle to combine geometric…

Machine Learning · Computer Science 2026-01-19 Lorenzo Tomada , Federico Pichi , Gianluigi Rozza

Due to the complex and changing interactions in dynamic scenarios, motion forecasting is a challenging problem in autonomous driving. Most existing works exploit static road graphs to characterize scenarios and are limited in modeling…

Artificial Intelligence · Computer Science 2023-03-09 Xing Gao , Xiaogang Jia , Yikang Li , Hongkai Xiong

Traffic assignment and traffic flow prediction provide critical insights for urban planning, traffic management, and the development of intelligent transportation systems. An efficient model for calculating traffic flows over the entire…

Machine Learning · Computer Science 2024-08-09 Tong Liu , Hadi Meidani

Modeling continuous-time dynamics constitutes a foundational challenge, and uncovering inter-component correlations within complex systems holds promise for enhancing the efficacy of dynamic modeling. The prevailing approach of integrating…

Machine Learning · Computer Science 2023-12-19 Lanlan Chen , Kai Wu , Jian Lou , Jing Liu

Long-term traffic prediction has always been a challenging task due to its dynamic temporal dependencies and complex spatial dependencies. In this paper, we propose a model that combines hybrid Transformer and spatio-temporal…

Machine Learning · Computer Science 2024-01-31 Wang Zhu , Doudou Zhang , Baichao Long , Jianli Xiao

Traffic prediction is an important and yet highly challenging problem due to the complexity and constantly changing nature of traffic systems. To address the challenges, we propose a graph and attentive multi-path convolutional network…

Machine Learning · Computer Science 2022-05-31 Jianzhong Qi , Zhuowei Zhao , Egemen Tanin , Tingru Cui , Neema Nassir , Majid Sarvi

Machine Learning surrogates for Computational Fluid Dynamics (CFD), particularly Graph Neural Networks (GNNs) and Transformers, have become a new important approach for accelerating physics simulations. However, we identify a critical…

Machine Learning · Computer Science 2026-05-05 Paul Garnier , Vincent Lannelongue , Elie Hachem

Rapid urbanization has significantly escalated traffic congestion, underscoring the need for advanced congestion prediction services to bolster intelligent transportation systems. As one of the world's largest ride-hailing platforms, DiDi…

Machine Learning · Computer Science 2024-06-21 Wenzhao Jiang , Jindong Han , Hao Liu , Tao Tao , Naiqiang Tan , Hui Xiong

Dynamic spatial graph construction is a challenge in graph neural network (GNN) for time series data problems. Although some adaptive graphs are conceivable, only a 2D graph is embedded in the network to reflect the current spatial…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Chengcheng Jia , Bo Wu , Xiao-Ping Zhang

Graph Convolution Networks (GCNs) are widely considered state-of-the-art for recommendation systems. Several studies in the field of recommendation systems have attempted to apply collaborative filtering (CF) into the Neural ODE framework.…

Information Retrieval · Computer Science 2025-01-24 Ke Xu , Weizhi Zhang , Zihe Song , Yuanjie Zhu , Philip S. Yu

Data-centric methods have shown great potential in understanding and predicting spatiotemporal dynamics, enabling better design and control of the object system. However, deep learning models often lack interpretability, fail to obey…

Machine Learning · Computer Science 2025-01-07 Yuan Mi , Pu Ren , Hongteng Xu , Hongsheng Liu , Zidong Wang , Yike Guo , Ji-Rong Wen , Hao Sun , Yang Liu

Accurate and efficient simulations of physical phenomena governed by partial differential equations (PDEs) are important for scientific and engineering progress. While traditional numerical solvers are powerful, they are often…

Machine Learning · Computer Science 2025-11-13 Can Yang , Zhenzhong Wang , Junyuan Liu , Yunpeng Gong , Min Jiang

Graph Neural Networks achieve remarkable results on problems with structured data but come as black-box predictors. Transferring existing explanation techniques, such as occlusion, fails as even removing a single node or edge can lead to…

Machine Learning · Computer Science 2020-10-27 Lukas Faber , Amin K. Moghaddam , Roger Wattenhofer

Transportation is a major contributor to CO2 emissions, making it essential to optimize traffic networks to reduce energy-related emissions. This paper presents a novel approach to traffic network control using Differentiable Predictive…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Renukanandan Tumu , Wenceslao Shaw Cortez , Ján Drgoňa , Draguna L. Vrabie , Sonja Glavaski

Learning network representations is a fundamental task for many graph applications such as link prediction, node classification, graph clustering, and graph visualization. Many real-world networks are interpreted as dynamic networks and…

Machine Learning · Computer Science 2019-10-07 Sedigheh Mahdavi , Shima Khoshraftar , Aijun An

Traditional methods for demand forecasting only focus on modeling the temporal dependency. However, forecasting on spatio-temporal data requires modeling of complex nonlinear relational and spatial dependencies. In addition, dynamic…

Machine Learning · Computer Science 2020-09-29 Hongjie Chen , Ryan A. Rossi , Kanak Mahadik , Hoda Eldardiry

Spatio-temporal traffic prediction is crucial in intelligent transportation systems. The key challenge of accurate prediction is how to model the complex spatio-temporal dependencies and adapt to the inherent dynamics in data. Traditional…

Machine Learning · Computer Science 2025-04-15 Wanna Cui , Peizheng Wang , Faliang Yin

In the realm of applications where data dynamically evolves across spatial and temporal dimensions, Graph Neural Networks (GNNs) are often complemented by sequence modeling architectures, such as RNNs and transformers, to effectively model…

Machine Learning · Computer Science 2024-09-02 Osama Ahmad , Omer Abdul Jalil , Usman Nazir , Murtaza Taj