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Invariant learning demonstrates substantial potential for enhancing the generalization of graph neural networks (GNNs) with out-of-distribution (OOD) data. It aims to recognize stable features in graph data for classification, based on the…

Machine Learning · Computer Science 2025-01-23 Yongduo Sui , Jie Sun , Shuyao Wang , Zemin Liu , Qing Cui , Longfei Li , Xiang Wang

We study time uncertainty-aware modeling of continuous-time dynamics of interacting objects. We introduce a new model that decomposes independent dynamics of single objects accurately from their interactions. By employing latent Gaussian…

Machine Learning · Computer Science 2022-10-13 Çağatay Yıldız , Melih Kandemir , Barbara Rakitsch

Due to the performance degradation of graph neural networks (GNNs) under distribution shifts, the work on out-of-distribution (OOD) generalization on graphs has received widespread attention. A novel perspective involves distinguishing…

Machine Learning · Computer Science 2024-06-04 Haoran Yang , Xiaobing Pei , Kai Yuan

Graph models provide efficient tools to capture the underlying structure of data defined over networks. Many real-world network topologies are subject to change over time. Learning to model the dynamic interactions between entities in such…

Machine Learning · Computer Science 2025-01-03 Amirhossein Javaheri , Jiaxi Ying , Daniel P. Palomar , Farokh Marvasti

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

This work formalizes the associational task of predicting node attribute evolution in temporal graphs from the perspective of learning equivariant representations. We show that node representations in temporal graphs can be cast into two…

Machine Learning · Computer Science 2023-03-29 Jianfei Gao , Bruno Ribeiro

Understanding how neuronal networks reorganize in response to external stimuli and give rise to behavior is a central challenge in neuroscience and artificial intelligence. However, existing methods often fail to capture the evolving…

Neurons and Cognition · Quantitative Biology 2025-06-02 Moein Khajehnejad , Forough Habibollahi , Ahmad Khajehnejad , Chris French , Brett J. Kagan , Adeel Razi

Random ordinary differential equations (RODEs), i.e. ODEs with random parameters, are often used to model complex dynamics. Most existing methods to identify unknown governing RODEs from observed data often rely on strong prior knowledge.…

Numerical Analysis · Mathematics 2020-06-04 Junyu Liu , Zichao Long , Ranran Wang , Jie Sun , Bin Dong

Although dynamic graph neural networks (DyGNNs) have demonstrated promising capabilities, most existing methods ignore out-of-distribution (OOD) shifts that commonly exist in dynamic graphs. Dynamic graph OOD generalization is non-trivial…

Machine Learning · Computer Science 2026-03-03 Xinxun Zhang , Pengfei Jiao , Mengzhou Gao , Tianpeng Li , Xuan Guo

Time-continuous dynamical systems defined on graphs are often used to model complex systems with many interacting components in a non-spatial context. In the reverse sense attaching meaningful dynamics to given 'interaction diagrams' is a…

Molecular Networks · Quantitative Biology 2010-07-02 Markus Kirkilionis , Luca Sbano

In this paper, we implement Neural Ordinary Differential Equations in a Variational Autoencoder setting for generative time series modeling. An object-oriented approach to the code was taken to allow for easier development and research and…

Machine Learning · Computer Science 2022-01-14 M. L. Garsdal , V. Søgaard , S. M. Sørensen

Representation learning models for graphs are a successful family of techniques that project nodes into feature spaces that can be exploited by other machine learning algorithms. Since many real-world networks are inherently dynamic, with…

Machine Learning · Computer Science 2020-06-26 Simone Piaggesi , André Panisson

Graph neural networks (GNNs) for temporal graphs have recently attracted increasing attentions, where a common assumption is that the class set for nodes is closed. However, in real-world scenarios, it often faces the open set problem with…

Machine Learning · Computer Science 2023-05-26 Kaituo Feng , Changsheng Li , Xiaolu Zhang , Jun Zhou

Increasing the layer number of on-chip photonic neural networks (PNNs) is essential to improve its model performance. However, the successively cascading of network hidden layers results in larger integrated photonic chip areas. To address…

Machine Learning · Computer Science 2023-02-08 Yun Zhao , Hang Chen , Min Lin , Haiou Zhang , Tao Yan , Xing Lin , Ruqi Huang , Qionghai Dai

Neural Ordinary Differential Equations (NODEs) have proven to be a powerful modeling tool for approximating (interpolation) and forecasting (extrapolation) irregularly sampled time series data. However, their performance degrades…

Machine Learning · Computer Science 2020-04-29 Hammad A. Ayyubi , Yi Yao , Ajay Divakaran

Neural ordinary differential equations (neural ODEs) can effectively learn dynamical systems from time series data, but their behavior on graph-structured data remains poorly understood, especially when applied to graphs with different size…

Physics and Society · Physics 2026-02-10 Moritz Laber , Tina Eliassi-Rad , Brennan Klein

Many real-world systems, such as moving planets, can be considered as multi-agent dynamic systems, where objects interact with each other and co-evolve along with the time. Such dynamics is usually difficult to capture, and understanding…

Machine Learning · Computer Science 2020-11-10 Zijie Huang , Yizhou Sun , Wei Wang

The rich information underlying graphs has inspired further investigation of unsupervised graph representation. Existing studies mainly depend on node features and topological properties within static graphs to create self-supervised…

Machine Learning · Computer Science 2026-05-27 Yiming Xu , Zhen Peng , Bin Shi , Xu Hua , Bo Dong

Distribution shifts on graphs -- the discrepancies in data distribution between training and employing a graph machine learning model -- are ubiquitous and often unavoidable in real-world scenarios. These shifts may severely deteriorate…

Machine Learning · Computer Science 2025-03-31 Kexin Zhang , Shuhan Liu , Song Wang , Weili Shi , Chen Chen , Pan Li , Sheng Li , Jundong Li , Kaize Ding

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