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Diffusion-based generative graph models have been proven effective in generating high-quality small graphs. However, they need to be more scalable for generating large graphs containing thousands of nodes desiring graph statistics. In this…

Machine Learning · Computer Science 2023-06-01 Xiaohui Chen , Jiaxing He , Xu Han , Li-Ping Liu

The challenges of graph stream algorithms are twofold. First, each edge needs to be processed only once, and second, it needs to work on highly constrained memory. Diffusion degree is a measure of node centrality that can be calculated (for…

Data Structures and Algorithms · Computer Science 2024-02-01 Vinit Ramesh Gore , Suman Kundu , Anggy Eka Pratiwi

We present Graph Neural Diffusion (GRAND) that approaches deep learning on graphs as a continuous diffusion process and treats Graph Neural Networks (GNNs) as discretisations of an underlying PDE. In our model, the layer structure and…

Diffusion has shown great success in improving accuracy of unsupervised image retrieval systems by utilizing high-order structures of image manifold. However, existing diffusion methods suffer from three major limitations: 1) they usually…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Zhiyong Dou , Haotian Cui , Lin Zhang , Bo Wang

Diffusion probabilistic models (DPMs), widely recognized for their potential to generate high-quality samples, tend to go unnoticed in representation learning. While recent progress has highlighted their potential for capturing visual…

Machine Learning · Computer Science 2025-05-09 Dingshuo Chen , Shuchen Xue , Liuji Chen , Yingheng Wang , Qiang Liu , Shu Wu , Zhi-Ming Ma , Liang Wang

Graph generative models have broad applications in biology, chemistry and social science. However, modelling and understanding the generative process of graphs is challenging due to the discrete and high-dimensional nature of graphs, as…

Machine Learning · Computer Science 2022-12-06 Han Huang , Leilei Sun , Bowen Du , Yanjie Fu , Weifeng Lv

Generative graph models struggle to scale due to the need to predict the existence or type of edges between all node pairs. To address the resulting quadratic complexity, existing scalable models often impose restrictive assumptions such as…

Machine Learning · Computer Science 2024-05-24 Yiming Qin , Clement Vignac , Pascal Frossard

Continuous graph neural models based on differential equations have expanded the architecture of graph neural networks (GNNs). Due to the connection between graph diffusion and message passing, diffusion-based models have been widely…

Machine Learning · Computer Science 2024-04-01 Kaiyuan Cui , Xinyan Wang , Zicheng Zhang , Weichen Zhao

Graph classification is a challenging research problem in many applications across a broad range of domains. In these applications, it is very common that class distribution is imbalanced. Recently, Graph Neural Network (GNN) models have…

Machine Learning · Computer Science 2021-03-30 Fenyu Hu , Liping Wang , Shu Wu , Liang Wang , Tieniu Tan

Learning to generate graphs is challenging as a graph is a set of pairwise connected, unordered nodes encoding complex combinatorial structures. Recently, several works have proposed graph generative models based on normalizing flows or…

Machine Learning · Computer Science 2023-06-21 Xiaohui Chen , Yukun Li , Aonan Zhang , Li-Ping Liu

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

Diffusion models, as a novel generative paradigm, have achieved remarkable success in various image generation tasks such as image inpainting, image-to-text translation, and video generation. Graph generation is a crucial computational task…

Machine Learning · Computer Science 2023-08-29 Chengyi Liu , Wenqi Fan , Yunqing Liu , Jiatong Li , Hang Li , Hui Liu , Jiliang Tang , Qing Li

This work examines the problem of graph learning over a diffusion network when data can be collected from a limited portion of the network (partial observability). The main question is to establish technical guarantees of consistent…

Statistics Theory · Mathematics 2020-06-08 Vincenzo Matta , Augusto Santos , Ali H. Sayed

Given a set of graphs from some unknown family, we want to generate new graphs from that family. Recent methods use diffusion on either graph embeddings or the discrete space of nodes and edges. However, simple changes to embeddings (say,…

Machine Learning · Computer Science 2026-05-08 Rahul Nandakumar , Deepayan Chakrabarti

Graph is a prevalent discrete data structure, whose generation has wide applications such as drug discovery and circuit design. Diffusion generative models, as an emerging research focus, have been applied to graph generation tasks.…

Machine Learning · Computer Science 2024-11-05 Zhe Xu , Ruizhong Qiu , Yuzhong Chen , Huiyuan Chen , Xiran Fan , Menghai Pan , Zhichen Zeng , Mahashweta Das , Hanghang Tong

Embedding networks into a fixed dimensional feature space, while preserving its essential structural properties is a fundamental task in graph analytics. These feature vectors (graph descriptors) are used to measure the pairwise similarity…

Databases · Computer Science 2020-02-20 Zohair Raza Hassan , Mudassir Shabbir , Imdadullah Khan , Waseem Abbas

Most real-world networks are noisy and incomplete samples from an unknown target distribution. Refining them by correcting corruptions or inferring unobserved regions typically improves downstream performance. Inspired by the impressive…

A graph embedding is a representation of graph vertices in a low-dimensional space, which approximately preserves properties such as distances between nodes. Vertex sequence-based embedding procedures use features extracted from linear…

Machine Learning · Computer Science 2020-01-22 Benedek Rozemberczki , Rik Sarkar

Autonomous exploration in structured and complex indoor environments remains a challenging task, as existing methods often struggle to appropriately model unobserved space and plan globally efficient paths. To address these limitations, we…

Robotics · Computer Science 2026-03-06 Zijun Che , Yinghong Zhang , Shengyi Liang , Boyu Zhou , Jun Ma , Jinni Zhou

Graph neural networks (GNNs) have demonstrated excellent performance in a wide range of applications. However, the enormous size of large-scale graphs hinders their applications under real-time inference scenarios. Although existing…

Machine Learning · Computer Science 2022-12-29 Xinyi Gao , Wentao Zhang , Yingxia Shao , Quoc Viet Hung Nguyen , Bin Cui , Hongzhi Yin
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