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We present a novel model Graph Neural Stochastic Differential Equations (Graph Neural SDEs). This technique enhances the Graph Neural Ordinary Differential Equations (Graph Neural ODEs) by embedding randomness into data representation using…

Machine Learning · Computer Science 2023-08-25 Richard Bergna , Felix Opolka , Pietro Liò , Jose Miguel Hernandez-Lobato

Anomaly detection in dynamic graphs presents a significant challenge due to the temporal evolution of graph structures and attributes. The conventional approaches that tackle this problem typically employ an unsupervised learning framework,…

Machine Learning · Computer Science 2024-08-16 Jie Liu , Xuequn Shang , Xiaolin Han , Kai Zheng , Hongzhi Yin

Graph Neural Networks (GNNs) with equivariant properties have achieved significant success in modeling complex dynamic systems and molecular properties. However, their expressiveness ability is limited by: (1) Existing methods often…

Machine Learning · Computer Science 2025-11-04 Yingxu Wang , Nan Yin , Mingyan Xiao , Xinhao Yi , Siwei Liu , Shangsong Liang

Learning multi-agent system dynamics has been extensively studied for various real-world applications, such as molecular dynamics in biology. Most of the existing models are built to learn single system dynamics from observed historical…

Machine Learning · Computer Science 2023-07-11 Zijie Huang , Yizhou Sun , Wei Wang

Signed graphs, which are characterized by both positive and negative edge weights, have recently attracted significant attention in the field of graph signal processing (GSP). Existing works on signed graph learning typically assume that…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Rong Ye , Xue-Qin Jiang , Hui Feng , Jian Wang , Runhe Qiu

Signed graphs allow for encoding positive and negative relations between nodes and are used to model various online activities. Node representation learning for signed graphs is a well-studied task with important applications such as sign…

Machine Learning · Computer Science 2024-12-19 Andrin Rehmann , Alexandre Bovet

With the shift towards decentralized energy generation, the increasing complexity of power systems renders physics-based modeling challenging. At the same time the growing amount of available measurement data opens the door for obtaining…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Hannes M. H. Wolf , Christian A. Hans

Graph or network data is ubiquitous in the real world, including social networks, information networks, traffic networks, biological networks and various technical networks. The non-Euclidean nature of graph data poses the challenge for…

Social and Information Networks · Computer Science 2019-09-06 Junjie Huang , Huawei Shen , Liang Hou , Xueqi Cheng

We incorporate prior graph topology information into a Neural Controlled Differential Equation (NCDE) to predict the future states of a dynamical system defined on a graph. The informed NCDE infers the future dynamics at the vertices of…

Machine Learning · Computer Science 2024-10-28 Michael Detzel , Gabriel Nobis , Jackie Ma , Wojciech Samek

This paper builds on the connection between graph neural networks and traditional dynamical systems. We propose continuous graph neural networks (CGNN), which generalise existing graph neural networks with discrete dynamics in that they can…

Machine Learning · Computer Science 2020-07-17 Louis-Pascal A. C. Xhonneux , Meng Qu , Jian Tang

Signed networks allow us to model conflicting relationships and interactions, such as friend/enemy and support/oppose. These signed interactions happen in real-time. Modeling such dynamics of signed networks is crucial to understanding the…

Social and Information Networks · Computer Science 2023-02-07 Kartik Sharma , Mohit Raghavendra , Yeon Chang Lee , Anand Kumar M , Srijan Kumar

Detecting anomalies in dynamic graphs is a vital task, with numerous practical applications in areas such as security, finance, and social media. Previous network embedding based methods have been mostly focusing on learning good node…

Machine Learning · Computer Science 2020-05-26 Lei Cai , Zhengzhang Chen , Chen Luo , Jiaping Gui , Jingchao Ni , Ding Li , Haifeng Chen

Like Graph Neural Networks (GNNs), Signed Graph Neural Networks (SGNNs) are also up against fairness issues from source data and typical aggregation method. In this paper, we are pioneering to make the investigation of fairness in SGNNs…

Machine Learning · Computer Science 2024-08-19 Fang He , Jinhai Deng , Ruizhan Xue , Maojun Wang , Zeyu Zhang

Dynamic graphs with ordered sequences of events between nodes are prevalent in real-world industrial applications such as e-commerce and social platforms. However, representation learning for dynamic graphs has posed great computational…

Machine Learning · Computer Science 2021-12-16 Xinshi Chen , Yan Zhu , Haowen Xu , Mengyang Liu , Liang Xiong , Muhan Zhang , Le Song

Given a signed social graph, how can we learn appropriate node representations to infer the signs of missing edges? Signed social graphs have received considerable attention to model trust relationships. Learning node representations is…

Machine Learning · Computer Science 2020-12-29 Jinhong Jung , Jaemin Yoo , U Kang

Signed Graph Neural Networks (SGNNs) are vital for analyzing complex patterns in real-world signed graphs containing positive and negative links. However, three key challenges hinder current SGNN-based signed graph representation learning:…

Machine Learning · Computer Science 2023-10-17 Zeyu Zhang , Shuyan Wan , Sijie Wang , Xianda Zheng , Xinrui Zhang , Kaiqi Zhao , Jiamou Liu , Dong Hao

Dynamic graphs capture evolving interactions between entities, such as in social networks, online learning platforms, and crowdsourcing projects. For dynamic graph modeling, dynamic graph neural networks (DGNNs) have emerged as a mainstream…

Machine Learning · Computer Science 2025-03-04 Xingtong Yu , Zhenghao Liu , Xinming Zhang , Yuan Fang

Session-based recommendation (SBR) aims to predict the user next action based on the ongoing sessions. Recently, there has been an increasing interest in modeling the user preference evolution to capture the fine-grained user interests.…

Information Retrieval · Computer Science 2022-08-23 Jiayan Guo , Peiyan Zhang , Chaozhuo Li , Xing Xie , Yan Zhang , Sunghun Kim

Graph Neural Networks (GNNs) have recently been explored as surrogate models for numerical simulations. While their applications in computational fluid dynamics have been investigated, little attention has been given to structural problems,…

Machine Learning · Computer Science 2025-10-30 Alessandro Lucchetti , Francesco Cadini , Marco Giglio , Luca Lomazzi

Real-world multi-agent systems are often dynamic and continuous, where the agents co-evolve and undergo changes in their trajectories and interactions over time. For example, the COVID-19 transmission in the U.S. can be viewed as a…

Machine Learning · Computer Science 2024-03-04 Zijie Huang , Jeehyun Hwang , Junkai Zhang , Jinwoo Baik , Weitong Zhang , Dominik Wodarz , Yizhou Sun , Quanquan Gu , Wei Wang