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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

Graphs are ubiquitous in real-world applications, ranging from social networks to biological systems, and have inspired the development of Graph Neural Networks (GNNs) for learning expressive representations. While most research has…

We introduce the framework of continuous-depth graph neural networks (GNNs). Neural graph differential equations (Neural GDEs) are formalized as the counterpart to GNNs where the input-output relationship is determined by a continuum of GNN…

Machine Learning · Computer Science 2021-06-23 Michael Poli , Stefano Massaroli , Clayton M. Rabideau , Junyoung Park , Atsushi Yamashita , Hajime Asama , Jinkyoo Park

Modeling neural population dynamics is crucial for foundational neuroscientific research and various clinical applications. Conventional latent variable methods typically model continuous brain dynamics through discretizing time with…

The recent deep generative models for static graphs that are now being actively developed have achieved significant success in areas such as molecule design. However, many real-world problems involve temporal graphs whose topology and…

Machine Learning · Computer Science 2021-03-09 Liming Zhang , Liang Zhao , Shan Qin , Dieter Pfoser

Graph neural networks have shown to learn effective node representations, enabling node-, link-, and graph-level inference. Conventional graph networks assume static relations between nodes, while relations between entities in a video often…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Osman Ülger , Julian Wiederer , Mohsen Ghafoorian , Vasileios Belagiannis , Pascal Mettes

Representation learning in dynamic graphs is a challenging problem because the topology of graph and node features vary at different time. This requires the model to be able to effectively capture both graph topology information and…

Machine Learning · Computer Science 2021-11-16 Xintao Xiang , Tiancheng Huang , Donglin Wang

As a crucial technique for developing a smart city, traffic forecasting has become a popular research focus in academic and industrial communities for decades. This task is highly challenging due to complex and dynamic spatial-temporal…

Machine Learning · Computer Science 2024-01-29 Jiajia Wu , Ling Chen

Temporal networks are increasingly being used to model the interactions of complex systems. Most studies require the temporal aggregation of edges (or events) into discrete time steps to perform analysis. In this article we describe a…

Social and Information Networks · Computer Science 2017-10-16 Andrew Mellor

Recent advancements in graph representation learning have shifted attention towards dynamic graphs, which exhibit evolving topologies and features over time. The increased use of such graphs creates a paramount need for generative models…

Machine Learning · Computer Science 2024-12-23 Ryien Hosseini , Filippo Simini , Venkatram Vishwanath , Henry Hoffmann

Graph-based models form a fundamental aspect of data representation in Data Sciences and play a key role in modeling complex networked systems. In particular, recently there is an ever-increasing interest in modeling dynamic complex…

Data Structures and Algorithms · Computer Science 2015-09-18 Klaus Wehmuth , Artur Ziviani , Eric Fleury

Graph representation learning resurges as a trending research subject owing to the widespread use of deep learning for Euclidean data, which inspire various creative designs of neural networks in the non-Euclidean domain, particularly…

Learning Continuous-Time Dynamic Graphs (C-TDGs) requires accurately modeling spatio-temporal information on streams of irregularly sampled events. While many methods have been proposed recently, we find that most message passing-,…

Machine Learning · Computer Science 2025-03-13 Alessio Gravina , Giulio Lovisotto , Claudio Gallicchio , Davide Bacciu , Claas Grohnfeldt

Multivariate time series forecasting is a challenging task because the data involves a mixture of long- and short-term patterns, with dynamic spatio-temporal dependencies among variables. Existing graph neural networks (GNN) typically model…

Machine Learning · Computer Science 2021-12-08 Zhuoling Li , Gaowei Zhang , Lingyu Xu , Jie Yu

Dynamic graphs (DG) are often used to describe evolving interactions between nodes in real-world applications. Temporal patterns are a natural feature of DGs and are also key to representation learning. However, existing dynamic GCN models…

Machine Learning · Computer Science 2024-08-07 Ling Wang , Yixiang Huang , Hao Wu

Modeling the evolution of system with time-series data is a challenging and critical task in a wide range of fields, especially when the time-series data is regularly sampled and partially observable. Some methods have been proposed to…

Machine Learning · Computer Science 2024-12-03 Mengbang Zou , Weisi Guo

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

Machine Learning · Computer Science 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

Temporal graph neural network has recently received significant attention due to its wide application scenarios, such as bioinformatics, knowledge graphs, and social networks. There are some temporal graph neural networks that achieve…

Machine Learning · Computer Science 2023-01-23 Mingyi Liu , Zhiying Tu , Xiaofei Xu , Zhongjie Wang

Many different classification tasks need to manage structured data, which are usually modeled as graphs. Moreover, these graphs can be dynamic, meaning that the vertices/edges of each graph may change during time. Our goal is to jointly…

Machine Learning · Computer Science 2019-08-20 Franco Manessi , Alessandro Rozza , Mario Manzo

Inductive representation learning on temporal graphs is an important step toward salable machine learning on real-world dynamic networks. The evolving nature of temporal dynamic graphs requires handling new nodes as well as capturing…

Machine Learning · Computer Science 2020-02-20 Da Xu , Chuanwei Ruan , Evren Korpeoglu , Sushant Kumar , Kannan Achan