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Recently, hyperbolic space has risen as a promising alternative for semi-supervised graph representation learning. Many efforts have been made to design hyperbolic versions of neural network operations. However, the inspiring geometric…

Machine Learning · Computer Science 2022-01-24 Jiahong Liu , Menglin Yang , Min Zhou , Shanshan Feng , Philippe Fournier-Viger

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

The simulation of microcirculatory blood flow in realistic vascular architectures poses significant challenges due to the multiscale nature of the problem and the topological complexity of capillary networks. In this work, we propose a…

Numerical Analysis · Mathematics 2025-12-12 Paolo Botta , Piermario Vitullo , Thomas Ventimiglia , Andreas Linninger , Paolo Zunino

Temporal graph is an abstraction for modeling dynamic systems that consist of evolving interaction elements. In this paper, we aim to solve an important yet neglected problem -- how to learn information from high-order neighbors in temporal…

Machine Learning · Computer Science 2023-04-17 Zehong Wang , Qi Li , Donghua Yu

In heterogeneous graphs, we can observe complex structures such as tree-like or hierarchical structures. Recently, the hyperbolic space has been widely adopted in many studies to effectively learn these complex structures. Although these…

Machine Learning · Computer Science 2026-01-14 Jongmin Park , Seunghoon Han , Hyewon Lee , Won-Yong Shin , Sungsu Lim

Real-time and precise traffic flow prediction is vital for the efficiency of intelligent transportation systems. Traditional methods often employ graph neural networks (GNNs) with predefined graphs to describe spatial correlations among…

Machine Learning · Computer Science 2024-06-18 Ben-Ao Dai , Bao-Lin Ye , Lingxi Li

Representation learning over temporal networks has drawn considerable attention in recent years. Efforts are mainly focused on modeling structural dependencies and temporal evolving regularities in Euclidean space which, however,…

Social and Information Networks · Computer Science 2023-01-31 Menglin Yang , Min Zhou , Marcus Kalander , Zengfeng Huang , Irwin King

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

Graph-structured data are widespread in real-world applications, such as social networks, recommender systems, knowledge graphs, chemical molecules etc. Despite the success of Euclidean space for graph-related learning tasks, its ability to…

Machine Learning · Computer Science 2022-11-09 Min Zhou , Menglin Yang , Lujia Pan , Irwin King

Graph Neural Networks (GNNs) have been widely applied to various fields due to their powerful representations of graph-structured data. Despite the success of GNNs, most existing GNNs are designed to learn node representations on the fixed…

Machine Learning · Computer Science 2021-06-14 Seongjun Yun , Minbyul Jeong , Sungdong Yoo , Seunghun Lee , Sean S. Yi , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

Node classification on static graphs has achieved significant success, but achieving accurate node classification on dynamic graphs where node topology, attributes, and labels change over time has not been well addressed. Existing methods…

Social and Information Networks · Computer Science 2024-12-31 Xiaoxu Ma , Chen Zhao , Minglai Shao , Yujie Lin

Graph classification is an important learning task for graph-structured data. Graph neural networks (GNNs) have recently gained growing attention in graph learning and have shown significant improvements in many important graph problems.…

Machine Learning · Computer Science 2024-01-31 Tao Wen , Elynn Chen , Yuzhou Chen

The progress in hyperbolic neural networks (HNNs) research is hindered by their absence of inductive bias mechanisms, which are essential for generalizing to new tasks and facilitating scalable learning over large datasets. In this paper,…

Machine Learning · Computer Science 2023-10-31 Nurendra Choudhary , Nikhil Rao , Chandan K. Reddy

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

In recent years, graph neural networks (GNNs) have gained significant attention for node classification tasks on graph-structured data. However, traditional GNNs primarily focus on adjacency relationships between nodes, often overlooking…

Machine Learning · Computer Science 2025-11-17 A. Quadir , M. Tanveer

Graph Neural Networks (GNNs) have been widely studied in various graph data mining tasks. Most existingGNNs embed graph data into Euclidean space and thus are less effective to capture the ubiquitous hierarchical structures in real-world…

Machine Learning · Computer Science 2022-03-04 Xingcheng Fu , Jianxin Li , Jia Wu , Qingyun Sun , Cheng Ji , Senzhang Wang , Jiajun Tan , Hao Peng , Philip S. Yu

Continuum mechanics simulators, numerically solving one or more partial differential equations, are essential tools in many areas of science and engineering, but their performance often limits application in practice. Recent modern machine…

Machine Learning · Computer Science 2021-06-10 Mario Lino , Chris Cantwell , Anil A. Bharath , Stathi Fotiadis

While Hyperbolic Graph Neural Network (HGNN) has recently emerged as a powerful tool dealing with hierarchical graph data, the limitations of scalability and efficiency hinder itself from generalizing to deep models. In this paper, by…

Machine Learning · Computer Science 2024-06-10 Jiaxu Liu , Xinping Yi , Sihao Wu , Xiangyu Yin , Tianle Zhang , Xiaowei Huang , Shi Jin

Heterogeneous temporal graphs (HTGs) are ubiquitous data structures in the real world. Recently, to enhance representation learning on HTGs, numerous attention-based neural networks have been proposed. Despite these successes, existing…

Machine Learning · Computer Science 2025-10-22 Yili Wang , Tairan Huang , Changlong He , Qiutong Li , Jianliang Gao

Hyperbolic geometry has emerged as a powerful tool for modeling complex, structured data, particularly where hierarchical or tree-like relationships are present. By enabling embeddings with lower distortion, hyperbolic neural networks offer…

Machine Learning · Computer Science 2025-06-18 Pol Arévalo , Alexis Molina , Álvaro Ciudad