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Hyperbolic geometry, a Riemannian manifold endowed with constant sectional negative curvature, has been considered an alternative embedding space in many learning scenarios, \eg, natural language processing, graph learning, \etc, as a…

Computer Vision and Pattern Recognition · Computer Science 2023-04-24 Pengfei Fang , Mehrtash Harandi , Trung Le , Dinh Phung

Data across modalities such as images, text, and graphs often contains hierarchical and relational structures, which are challenging to model within Euclidean geometry. Hyperbolic geometry provides a natural framework for representing such…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Haya Alyoussef , Ahmad Bdeir , Diego Coello de Portugal Mecke , Tom Hanika , Niels Landwehr , Lars Schmidt-Thieme

Graph Anomaly Detection (GAD) plays a vital role in various data mining applications such as e-commerce fraud prevention and malicious user detection. Recently, Graph Neural Network (GNN) based approach has demonstrated great effectiveness…

Machine Learning · Computer Science 2025-03-18 Hang Ni , Jindong Han , Nengjun Zhu , Hao Liu

Graph neural networks (GNNs) have emerged as powerful tools for learning protein structures by capturing spatial relationships at the residue level. However, existing GNN-based methods often face challenges in learning multiscale…

Machine Learning · Computer Science 2026-02-03 Shih-Hsin Wang , Yuhao Huang , Taos Transue , Justin Baker , Jonathan Forstater , Thomas Strohmer , Bao Wang

Graph diffusion models achieve state-of-the-art performance in graph generation but suffer from quadratic complexity in the number of nodes -- and much of their capacity is wasted modeling the absence of edges in sparse graphs. Inspired by…

Machine Learning · Computer Science 2026-05-13 Antoine Siraudin , Christopher Morris

We introduce generative models for accelerating simulations of complex systems through learning and evolving their effective dynamics. In the proposed Generative Learning of Effective Dynamics (G-LED), instances of high dimensional data are…

Machine Learning · Computer Science 2024-02-28 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

Many graph neural networks have been developed to learn graph representations in either Euclidean or hyperbolic space, with all nodes' representations embedded in a single space. However, a graph can have hyperbolic and Euclidean geometries…

Machine Learning · Computer Science 2023-03-06 See Hian Lee , Feng Ji , Wee Peng Tay

As a powerful tool for modeling complex relationships, hypergraphs are gaining popularity from the graph learning community. However, commonly used frameworks in deep hypergraph learning focus on hypergraphs with edge-independent vertex…

Machine Learning · Computer Science 2022-07-26 Jiying Zhang , Fuyang Li , Xi Xiao , Tingyang Xu , Yu Rong , Junzhou Huang , Yatao Bian

Backward compatible representation learning enables updated models to integrate seamlessly with existing ones, avoiding to reprocess stored data. Despite recent advances, existing compatibility approaches in Euclidean space neglect the…

Machine Learning · Computer Science 2025-06-09 Ngoc Bui , Menglin Yang , Runjin Chen , Leonardo Neves , Mingxuan Ju , Rex Ying , Neil Shah , Tong Zhao

Recently, graph neural networks (GNNs) have revolutionized the field of graph representation learning through effectively learned node embeddings, and achieved state-of-the-art results in tasks such as node classification and link…

Machine Learning · Computer Science 2019-02-21 Rex Ying , Jiaxuan You , Christopher Morris , Xiang Ren , William L. Hamilton , Jure Leskovec

Generative models of graph structure have applications in biology and social sciences. The state of the art is GraphRNN, which decomposes the graph generation process into a series of sequential steps. While effective for modest sizes, it…

Machine Learning · Computer Science 2019-10-18 Tony Duan , Juho Lee

Geometric representation learning has recently shown great promise in several machine learning settings, ranging from relational learning to language processing and generative models. In this work, we consider the problem of performing…

Machine Learning · Statistics 2020-05-29 Gian Maria Marconi , Lorenzo Rosasco , Carlo Ciliberto

We present a novel graph Transformer generative adversarial network (GTGAN) to learn effective graph node relations in an end-to-end fashion for challenging graph-constrained architectural layout generation tasks. The proposed…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Hao Tang , Ling Shao , Nicu Sebe , Luc Van Gool

Physics-informed Graph Neural Networks have achieved remarkable performance in learning through graph-structured data by mitigating common GNN challenges such as over-smoothing, over-squashing, and heterophily adaption. Despite these…

Machine Learning · Computer Science 2024-06-13 Dai Shi , Andi Han , Lequan Lin , Yi Guo , Zhiyong Wang , Junbin Gao

Graph generation is an extremely important task, as graphs are found throughout different areas of science and engineering. In this work, we focus on the modern equivalent of the Erdos-Renyi random graph model: the graph variational…

Machine Learning · Computer Science 2020-02-19 Daniel Flam-Shepherd , Tony Wu , Alan Aspuru-Guzik

Graph neural networks (GNNs) have become a workhorse approach for learning from data defined over irregular domains, typically by implicitly assuming that the data structure is represented by a homophilic graph. However, recent works have…

Machine Learning · Computer Science 2024-09-16 Samuel Rey , Madeline Navarro , Victor M. Tenorio , Santiago Segarra , Antonio G. Marques

Diffusion models have excelled in generating natural images and are now being adapted to a variety of data types, including graphs. However, conventional models often rely on Gaussian or categorical diffusion processes, which can struggle…

Machine Learning · Computer Science 2024-10-08 Xinyang Liu , Yilin He , Bo Chen , Mingyuan Zhou

Hyperbolic random graphs (HRG) and geometric inhomogeneous random graphs (GIRG) are two similar generative network models that were designed to resemble complex real world networks. In particular, they have a power-law degree distribution…

Data Structures and Algorithms · Computer Science 2019-08-26 Thomas Bläsius , Tobias Friedrich , Maximilian Katzmann , Ulrich Meyer , Manuel Penschuck , Christopher Weyand

Learning unbiased node representations for imbalanced samples in the graph has become a more remarkable and important topic. For the graph, a significant challenge is that the topological properties of the nodes (e.g., locations, roles) are…

Machine Learning · Computer Science 2023-04-12 Xingcheng Fu , Yuecen Wei , Qingyun Sun , Haonan Yuan , Jia Wu , Hao Peng , Jianxin Li

Despite recent advances in leveraging generative prior from pre-trained diffusion models for 3D scene reconstruction, existing methods still face two critical limitations. First, due to the lack of reliable geometric supervision, they…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Junfeng Ni , Yixin Chen , Zhifei Yang , Yu Liu , Ruijie Lu , Song-Chun Zhu , Siyuan Huang