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Interacting systems are prevalent in nature, from dynamical systems in physics to complex societal dynamics. The interplay of components can give rise to complex behavior, which can often be explained using a simple model of the system's…

Machine Learning · Statistics 2018-06-07 Thomas Kipf , Ethan Fetaya , Kuan-Chieh Wang , Max Welling , Richard Zemel

Learning the dynamics of complex systems features a large number of applications in data science. Graph-based modeling and inference underpins the most prominent family of approaches to learn complex dynamics due to their ability to capture…

Signal Processing · Electrical Eng. & Systems 2018-07-06 Luis M. Lopez-Ramos , Daniel Romero , Bakht Zaman , Baltasar Beferull-Lozano

Interacting systems are prevalent in nature. It is challenging to accurately predict the dynamics of the system if its constituent components are analyzed independently. We develop a graph-based model that unveils the systemic interactions…

Machine Learning · Computer Science 2024-10-31 Giangiacomo Mercatali , Andre Freitas , Jie Chen

Many complex processes can be viewed as dynamical systems of interacting agents. In many cases, only the state sequences of individual agents are observed, while the interacting relations and the dynamical rules are unknown. The neural…

Machine Learning · Computer Science 2021-01-26 Siyuan Chen , Jiahai Wang , Guoqing Li

Graph neural Ordinary Differential Equations (ODE) combine neural ODE with the message passing mechanism of Graph Neural Networks (GNN), providing a continuous-time modeling method for graph representation learning. However, in dynamic…

Machine Learning · Computer Science 2026-04-29 Xiaoyi Wang , Zhiqiang Wang , Jianqing Liang , Xingwang Zhao , Chuangyin Dang , Zhen Jin , Jiye Liang

Modeling inter-dependencies between time-series is the key to achieve high performance in anomaly detection for multivariate time-series data. The de-facto solution to model the dependencies is to feed the data into a recurrent neural…

Machine Learning · Computer Science 2021-08-17 Yuhang Wu , Mengting Gu , Lan Wang , Yusan Lin , Fei Wang , Hao Yang

There has been an increasing interest in modeling continuous-time dynamics of temporal graph data. Previous methods encode time-evolving relational information into a low-dimensional representation by specifying discrete layers of neural…

Machine Learning · Computer Science 2022-06-01 Jin Guo , Zhen Han , Zhou Su , Jiliang Li , Volker Tresp , Yuyi Wang

Dynamical systems in which local interactions among agents give rise to complex emerging phenomena are ubiquitous in nature and society. This work explores the problem of inferring the unknown interaction structure (represented as a graph)…

Machine Learning · Computer Science 2021-06-01 Gerrit Großmann , Julian Zimmerlin , Michael Backenköhler , Verena Wolf

Learning continuous-time dynamics on complex networks is crucial for understanding, predicting and controlling complex systems in science and engineering. However, this task is very challenging due to the combinatorial complexities in the…

Social and Information Networks · Computer Science 2020-06-19 Chengxi Zang , Fei Wang

Group activity recognition aims to understand the activity performed by a group of people. In order to solve it, modeling complex spatio-temporal interactions is the key. Previous methods are limited in reasoning on a predefined graph,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Hangjie Yuan , Dong Ni , Mang Wang

Modern graph representation learning works mostly under the assumption of dealing with regularly sampled temporal graph snapshots, which is far from realistic, e.g., social networks and physical systems are characterized by continuous…

Machine Learning · Computer Science 2024-09-11 Alessio Gravina , Daniele Zambon , Davide Bacciu , Cesare Alippi

Reasoning about graphs evolving over time is a challenging concept in many domains, such as bioinformatics, physics, and social networks. We consider a common case in which edges can be short term interactions (e.g., messaging) or long term…

Machine Learning · Statistics 2020-06-22 Boris Knyazev , Carolyn Augusta , Graham W. Taylor

Monitoring complex systems results in massive multivariate time series data, and anomaly detection of these data is very important to maintain the normal operation of the systems. Despite the recent emergence of a large number of anomaly…

Machine Learning · Computer Science 2021-06-14 Liwei Deng , Xuanhao Chen , Yan Zhao , Kai Zheng

This paper proposes a temporal graph neural network model for forecasting of graph-structured irregularly observed time series. Our TGNN4I model is designed to handle both irregular time steps and partial observations of the graph. This is…

Machine Learning · Statistics 2023-02-17 Joel Oskarsson , Per Sidén , Fredrik Lindsten

Dynamic graph neural networks (DyGNNs) have demonstrated powerful predictive abilities by exploiting graph structural and temporal dynamics. However, the existing DyGNNs fail to handle distribution shifts, which naturally exist in dynamic…

Machine Learning · Computer Science 2024-03-11 Zeyang Zhang , Xin Wang , Ziwei Zhang , Haoyang Li , Wenwu Zhu

In general, many dynamic processes are involved with interacting variables, from physical systems to sociological analysis. The interplay of components in the system can give rise to confounding dynamic behavior. Many approaches model…

Artificial Intelligence · Computer Science 2021-06-02 Qianyu Feng , Bang Zhang , Yi Yang

Lattice Hamiltonian systems underpin models across condensed matter, nonlinear optics, and biophysics, yet learning their dynamics from data is obstructed by two unknowns: the interaction topology and whether node dynamics are homogeneous.…

Machine Learning · Computer Science 2026-04-28 Ru Geng , Panayotis Kevrekidis , Yixian Gao , Hong-Kun Zhang , Jian Zu

Effective interaction modeling and behavior prediction of dynamic agents play a significant role in interactive motion planning for autonomous robots. Although existing methods have improved prediction accuracy, few research efforts have…

Robotics · Computer Science 2024-01-09 Victoria M. Dax , Jiachen Li , Enna Sachdeva , Nakul Agarwal , Mykel J. Kochenderfer

This article proposes methods to model nonstationary temporal graph processes. This corresponds to modelling the observation of edge variables (relationships between objects) indicating interactions between pairs of nodes (or objects)…

Methodology · Statistics 2022-07-07 Maria Suveges , Sofia C. Olhede

Detecting anomalies from a series of temporal networks has many applications, including road accidents in transport networks and suspicious events in social networks. While there are many methods for network anomaly detection, statistical…

Social and Information Networks · Computer Science 2022-10-17 Sevvandi Kandanaarachchi , Rob J Hyndman
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