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Traffic forecasting is a core element of intelligent traffic monitoring system. Approaches based on graph neural networks have been widely used in this task to effectively capture spatial and temporal dependencies of road networks. However,…

Machine Learning · Computer Science 2022-03-10 Yaobin Xu , Weitang Liu , Zhongyi Jiang , Zixuan Xu , Tingyun Mao , Lili Chen , Mingwei Zhou

Short-term forecasting of passenger flow is critical for transit management and crowd regulation. Spatial dependencies, temporal dependencies, inter-station correlations driven by other latent factors, and exogenous factors bring challenges…

Machine Learning · Computer Science 2022-05-23 Yuxin He , Lishuai Li , Xinting Zhu , Kwok Leung Tsui

A challenging problem when studying a dynamical system is to find the interdependencies among its individual components. Several algorithms have been proposed to detect directed dynamical influences between time series. Two of the most used…

Data Analysis, Statistics and Probability · Physics 2015-09-09 Alessandro Montalto , Sebastiano Stramaglia , Luca Faes , Giovanni Tessitore , Roberto Prevete , Daniele Marinazzo

Multivariate time series forecasting (MTSF) is crucial for decision-making to precisely forecast the future values/trends, based on the complex relationships identified from historical observations of multiple sequences. Recently,…

Machine Learning · Computer Science 2024-05-21 Chengqing Yu , Fei Wang , Zezhi Shao , Tangwen Qian , Zhao Zhang , Wei Wei , Yongjun Xu

Among various spatio-temporal prediction tasks, epidemic forecasting plays a critical role in public health management. Recent studies have demonstrated the strong potential of spatio-temporal graph neural networks (STGNNs) in extracting…

Machine Learning · Computer Science 2025-12-30 Yufan Zheng , Wei Jiang , Tong Chen , Alexander Zhou , Nguyen Quoc Viet Hung , Choujun Zhan , Hongzhi Yin

While spatio-temporal Graph Neural Networks (GNNs) excel at modeling recurring traffic patterns, their reliability plummets during non-recurring events like accidents. This failure occurs because GNNs are fundamentally correlational models,…

Artificial Intelligence · Computer Science 2025-11-18 Luyao Niu , Zepu Wang , Shuyi Guan , Yang Liu , Peng Sun

We introduce graphical time series models for the analysis of dynamic relationships among variables in multivariate time series. The modelling approach is based on the notion of strong Granger causality and can be applied to time series…

Statistics Theory · Mathematics 2011-07-18 Michael Eichler

Convolutional neural networks (CNNs) leverage the great power in representation learning on regular grid data such as image and video. Recently, increasing attention has been paid on generalizing CNNs to graph or network data which is…

Social and Information Networks · Computer Science 2018-08-21 Yao Ma , Suhang Wang , Charu C. Aggarwal , Dawei Yin , Jiliang Tang

Real-world time series often exhibit complex interdependencies that cannot be captured in isolation. Global models that model past data from multiple related time series globally while producing series-specific forecasts locally are now…

Machine Learning · Computer Science 2024-05-14 Abishek Sriramulu , Christoph Bergmeir , Slawek Smyl

This paper studies causal inference with observational data from a single large network. We consider a nonparametric model with interference in both potential outcomes and selection into treatment. Specifically, both stages may be the…

Econometrics · Economics 2025-12-30 Michael P. Leung , Pantelis Loupos

In recent years, spatio-temporal graph neural networks (GNNs) have attracted considerable interest in the field of time series analysis, due to their ability to capture, at once, dependencies among variables and across time points. The…

Machine Learning · Computer Science 2025-12-01 Flavio Corradini , Flavio Gerosa , Marco Gori , Carlo Lucheroni , Marco Piangerelli , Martina Zannotti

Graph Neural Networks (GNNs) have been extensively used in various real-world applications. However, the predictive uncertainty of GNNs stemming from diverse sources such as inherent randomness in data and model training errors can lead to…

Machine Learning · Computer Science 2025-03-11 Fangxin Wang , Yuqing Liu , Kay Liu , Yibo Wang , Sourav Medya , Philip S. Yu

Streamflow plays an essential role in the sustainable planning and management of national water resources. Traditional hydrologic modeling approaches simulate streamflow by establishing connections across multiple physical processes, such…

Machine Learning · Computer Science 2024-11-28 Shu Wan , Reepal Shah , Qi Deng , John Sabo , Huan Liu , K. Selçuk

With an ever-increasing number of sensors in modern society, spatio-temporal time series forecasting has become a de facto tool to make informed decisions about the future. Most spatio-temporal forecasting models typically comprise distinct…

Machine Learning · Computer Science 2023-03-24 Lars Ødegaard Bentsen , Narada Dilp Warakagoda , Roy Stenbro , Paal Engelstad

Forecasting electricity demand is increasingly challenging as energy systems become more decentralized and intertwined with renewable sources. Graph Neural Networks (GNNs) have recently emerged as a powerful paradigm to model spatial…

Machine Learning · Computer Science 2025-11-04 Eloi Campagne , Yvenn Amara-Ouali , Yannig Goude , Itai Zehavi , Argyris Kalogeratos

Causal discovery from observational data is challenging, especially with large datasets and complex relationships. Traditional methods often struggle with scalability and capturing global structural information. To overcome these…

Machine Learning · Computer Science 2025-07-29 Rezaur Rashid , Gabriel Terejanu

Node centralities play a pivotal role in network science, social network analysis, and recommender systems. In temporal data, static path-based centralities like closeness or betweenness can give misleading results about the true importance…

Machine Learning · Computer Science 2024-11-11 Franziska Heeg , Ingo Scholtes

Granger causality is a fundamental technique for causal inference in time series data, commonly used in the social and biological sciences. Typical operationalizations of Granger causality make a strong assumption that every time point of…

Machine Learning · Computer Science 2021-05-11 Chainarong Amornbunchornvej , Elena Zheleva , Tanya Berger-Wolf

Inductive spatial temporal prediction can generalize historical data to predict unseen data, crucial for highly dynamic scenarios (e.g., traffic systems, stock markets). However, external events (e.g., urban structural growth, market crash)…

Machine Learning · Computer Science 2024-09-23 Jialun Zheng , Divya Saxena , Jiannong Cao , Hanchen Yang , Penghui Ruan

GNNs have been proven to perform highly effective in various node-level, edge-level, and graph-level prediction tasks in several domains. Existing approaches mainly focus on static graphs. However, many graphs change over time with their…

Machine Learning · Computer Science 2022-06-22 Bahareh Najafi , Saeedeh Parsaeefard , Alberto Leon-Garcia