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Multivariate time series (MTS) forecasting is an essential problem in many fields. Accurate forecasting results can effectively help decision-making. To date, many MTS forecasting methods have been proposed and widely applied. However,…

Machine Learning · Computer Science 2021-12-16 Ziheng Duan , Haoyan Xu , Yida Huang , Jie Feng , Yueyang Wang

Spatiotemporal graph represents a crucial data structure where the nodes and edges are embedded in a geometric space and can evolve dynamically over time. Nowadays, spatiotemporal graph data is becoming increasingly popular and important,…

Machine Learning · Computer Science 2022-03-02 Yuanqi Du , Xiaojie Guo , Hengning Cao , Yanfang Ye , Liang Zhao

Motivation: Several different threads of research have been proposed for modeling and mining temporal data. On the one hand, approaches such as dynamic Bayesian networks (DBNs) provide a formal probabilistic basis to model relationships…

Machine Learning · Computer Science 2009-04-15 Debprakash Patnaik , Srivatsan Laxman , Naren Ramakrishnan

Bayesian causal discovery offers the power to quantify epistemic uncertainties among a broad range of structurally diverse causal theories potentially explaining the data, represented in forms of directed acyclic graphs (DAGs). However,…

Machine Learning · Computer Science 2024-08-30 Nu Hoang , Bao Duong , Thin Nguyen

Accurate and reliable prediction has profound implications to a wide range of applications. In this study, we focus on an instance of spatio-temporal learning problem--traffic prediction--to demonstrate an advanced deep learning model…

Machine Learning · Computer Science 2024-08-27 Pingping Dong , Xiao-Lin Wang , Indranil Bose , Kam K. H. Ng , Xiaoning Zhang , Xiaoge Zhang

Dynamic Bayesian networks (DBNs) are a widely used framework for modeling systems whose probabilistic structure evolves over time. Standard inference methods focus on local conditional distributions and can miss larger-scale patterns in how…

Algebraic Topology · Mathematics 2026-05-13 Will Bales , Carmen Rovi

Skeleton-based action recognition has made great progress recently, but many problems still remain unsolved. For example, most of the previous methods model the representations of skeleton sequences without abundant spatial structure…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Chenyang Si , Ya Jing , Wei Wang , Liang Wang , Tieniu Tan

Spiking neural networks (SNNs) are investigated as biologically inspired models of neural computation, distinguished by their computational capability and energy efficiency due to precise spiking times and sparse spikes with event-driven…

Neural and Evolutionary Computing · Computer Science 2024-05-28 Mingqing Xiao , Yixin Zhu , Di He , Zhouchen Lin

Network inference has been extensively studied in several fields, such as systems biology and social sciences. Learning network topology and internal dynamics is essential to understand mechanisms of complex systems. In particular, sparse…

Machine Learning · Statistics 2022-06-13 Yasen Wang , Junyang Jin , Jorge Goncalves

Extending discrete-time causal Prior-data Fitted Networks for time series to continuous time invites writing the mechanism as a stochastic differential equation (SDE) -- but if the SDE is integrated \emph{once per observation gap}, the…

Machine Learning · Computer Science 2026-05-29 Dennis Thumm , Ruben Wiedemann , Ying Chen

Predicting road traffic speed is a challenging task due to different types of roads, abrupt speed change and spatial dependencies between roads; it requires the modeling of dynamically changing spatial dependencies among roads and temporal…

Machine Learning · Computer Science 2020-10-21 Cheonbok Park , Chunggi Lee , Hyojin Bahng , Yunwon Tae , Kihwan Kim , Seungmin Jin , Sungahn Ko , Jaegul Choo

Recent improvements in the expressive power of spatio-temporal models have led to performance gains in many real-world applications, such as traffic forecasting and social network modelling. However, understanding the predictions from a…

Machine Learning · Computer Science 2025-03-07 Saif Anwar , Nathan Griffiths , Thomas Popham , Abhir Bhalerao

Traffic flow prediction plays a critical role in the intelligent transportation system, and it is also a challenging task because of the underlying complex Spatio-temporal patterns and heterogeneities evolving across time. However, most…

Artificial Intelligence · Computer Science 2024-12-24 Jiyao Wang , Zehua Peng , Yijia Zhang , Dengbo He , Lei Chen

Causal discovery from time-series data aims to capture both intra-slice (contemporaneous) and inter-slice (time-lagged) causality between variables within the temporal chain, which is crucial for various scientific disciplines. Compared to…

Machine Learning · Computer Science 2026-01-26 Rujia Shen , Boran Wang , Chao Zhao , Yi Guan , Jingchi Jiang

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

Traffic data exhibits complex temporal, spatial, and spatial-temporal correlations. Most of models use either independent modules to separately extract temporal and spatial correlations or joint modules to synchronously extract them,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-14 Kai Hu , Zhidan Zhao , Zhifeng Hao

Generative modeling typically seeks the path of least action via deterministic flows (ODE). While effective for in-distribution tasks, we argue that these deterministic paths become brittle under causal interventions, which often require…

Machine Learning · Computer Science 2026-02-24 Rui Wu , Li YongJun

We give methods for Bayesian inference of directed acyclic graphs, DAGs, and the induced causal effects from passively observed complete data. Our methods build on a recent Markov chain Monte Carlo scheme for learning Bayesian networks,…

Machine Learning · Computer Science 2020-11-19 Jussi Viinikka , Antti Hyttinen , Johan Pensar , Mikko Koivisto

A Bayesian Network (BN) is a probabilistic model that represents a set of variables using a directed acyclic graph (DAG). Current algorithms for learning BN structures from data focus on estimating the edges of a specific DAG, and often…

Combinatorics · Mathematics 2022-10-17 Luke Duttweiler , Sally W. Thurston , Anthony Almudevar

Crime forecasting is a critical component of urban analysis and essential for stabilizing society today. Unlike other time series forecasting problems, crime incidents are sparse, particularly in small regions and within specific time…

Machine Learning · Computer Science 2024-08-09 Zepu Wang , Xiaobo Ma , Huajie Yang , Weimin Lvu , Peng Sun , Sharath Chandra Guntuku