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Time series forecasting is an extensively studied subject in statistics, economics, and computer science. Exploration of the correlation and causation among the variables in a multivariate time series shows promise in enhancing the…

Machine Learning · Computer Science 2021-04-22 Chao Shang , Jie Chen , Jinbo Bi

Bayesian networks (BN) are directed acyclic graphical (DAG) models that have been adopted into many fields for their strengths in transparency, interpretability, probabilistic reasoning, and causal modeling. Given a set of data, one hurdle…

Artificial Intelligence · Computer Science 2023-05-19 Christian D. Blakely

Bayesian graphical models are powerful tools to infer complex relationships in high dimension, yet are often fraught with computational and statistical challenges. If exploited in a principled way, the increasing information collected…

Methodology · Statistics 2024-03-15 Xiaoyue Xi , Hélène Ruffieux

Vessel trajectory prediction is a critical component for ensuring maritime traffic safety and avoiding collisions. Due to the inherent uncertainty in vessel behavior, trajectory prediction systems must adopt a multimodal approach to…

Artificial Intelligence · Computer Science 2025-03-12 Jin Wenzhe , Tang Haina , Zhang Xudong

Time series graphical models have recently received considerable attention for characterizing (conditional) dependence structures in multivariate time series. In many applications, the multivariate series exhibit variable-partitioned…

Methodology · Statistics 2026-04-09 Qin Fang , Xinghao Qiao , Zihan Wang

Bayesian networks are powerful statistical models to study the probabilistic relationships among set random variables with major applications in disease modeling and prediction. Here, we propose a continuous time Bayesian network with…

Machine Learning · Computer Science 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo

Obtaining accurate water level predictions are essential for water resource management and implementing flood mitigation strategies. Several data-driven models can be found in the literature. However, there has been limited research with…

Applications · Statistics 2025-06-27 Victor Hugo Nagahama , James Sweeney , Niamh Cahill

Scene Graph Generation (SGG) aims to explore the relationships between objects in images and obtain scene summary graphs, thereby better serving downstream tasks. However, the long-tailed problem has adversely affected the scene graph's…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Yansheng Li , Tingzhu Wang , Kang Wu , Linlin Wang , Xin Guo , Wenbin Wang

Causal learning from data has received much attention recently. Bayesian networks can be used to capture causal relationships. There, one recovers a weighted directed acyclic graph in which random variables are represented by vertices, and…

Machine Learning · Computer Science 2026-01-06 Pavel Rytir , Ales Wodecki , Georgios Korpas , Jakub Marecek

A Bayesian approach is developed to analyze change points in multivariate time series and space-time data. The methodology is used to assess the impact of extended inundation on the ecosystem of the Gulf Plains bioregion in northern…

Methodology · Statistics 2013-06-21 Chris Strickland , Robert Burdett , Robert Denham , Robert Kohn , Kerrie Mengersen

This article introduces a novel Bayesian method for asynchronous change-point detection in multivariate time series. This method allows for change-points to occur earlier in some (leading) series followed, after a short delay, by…

Methodology · Statistics 2025-08-28 Carson McKee , Maria Kalli

Decoding complex relationships among large numbers of variables with relatively few observations is one of the crucial issues in science. One approach to this problem is Gaussian graphical modeling, which describes conditional independence…

Methodology · Statistics 2019-04-26 A. Mohammadi , E. C. Wit

Spatiotemporal datasets, which consist of spatially-referenced time series, are ubiquitous in diverse applications, such as air pollution monitoring, disease tracking, and cloud-demand forecasting. As the scale of modern datasets increases,…

Machine Learning · Computer Science 2024-11-28 Feras Saad , Jacob Burnim , Colin Carroll , Brian Patton , Urs Köster , Rif A. Saurous , Matthew Hoffman

Accurate flood forecasting remains a challenge for water-resource management, as it demands modeling of local, time-varying runoff drivers (e.g., rainfall-induced peaks, baseflow trends) and complex spatial interactions across a river…

Machine Learning · Computer Science 2025-09-03 Aishwarya Sarkar , Autrin Hakimi , Xiaoqiong Chen , Hai Huang , Chaoqun Lu , Ibrahim Demir , Ali Jannesari

We study the task of spatio-temporal extrapolation that generates data at target locations from surrounding contexts in a graph. This task is crucial as sensors that collect data are sparsely deployed, resulting in a lack of fine-grained…

Machine Learning · Computer Science 2023-05-31 Junfeng Hu , Yuxuan Liang , Zhencheng Fan , Hongyang Chen , Yu Zheng , Roger Zimmermann

Multivariate time series forecasting enables the prediction of future states by leveraging historical data, thereby facilitating decision-making processes. Each data node in a multivariate time series encompasses a sequence of multiple…

Machine Learning · Computer Science 2025-05-02 Xinlong Zhao , Liying Zhang , Tianbo Zou , Yan Zhang

Recently, adaptive graph convolutional network based traffic prediction methods, learning a latent graph structure from traffic data via various attention-based mechanisms, have achieved impressive performance. However, they are still…

Machine Learning · Computer Science 2021-04-02 Jun Fu , Wei Zhou , Zhibo Chen

Graph neural networks (GNNs), especially dynamic GNNs, have become a research hotspot in spatio-temporal forecasting problems. While many dynamic graph construction methods have been developed, relatively few of them explore the causal…

Machine Learning · Computer Science 2023-05-18 Guojun Liang , Prayag Tiwari , Sławomir Nowaczyk , Stefan Byttner , Fernando Alonso-Fernandez

The design of reliable indicators to anticipate critical transitions in complex systems is an im portant task in order to detect a coming sudden regime shift and to take action in order to either prevent it or mitigate its consequences. We…

Data Analysis, Statistics and Probability · Physics 2022-12-14 Martin Heßler , Oliver Kamps

Discovering temporal lagged and inter-dependencies in multivariate time series data is an important task. However, in many real-world applications, such as commercial cloud management, manufacturing predictive maintenance, and portfolios…

Machine Learning · Computer Science 2018-12-12 Xuan-Hong Dang , Syed Yousaf Shah , Petros Zerfos