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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

The ability of Graph Neural Networks (GNNs) to capture long-range and global topology information is limited by the scope of conventional graph Laplacian, leading to unsatisfactory performance on some datasets, particularly on heterophilic…

Machine Learning · Computer Science 2024-09-17 Qincheng Lu , Jiaqi Zhu , Sitao Luan , Xiao-Wen Chang

While physics conveys knowledge of nature built from an interplay between observations and theory, it has been considered less importantly in deep neural networks. Especially, there are few works leveraging physics behaviors when the…

Machine Learning · Computer Science 2019-02-12 Sungyong Seo , Yan Liu

Federated graph learning (FGL) is a promising distributed training paradigm for graph neural networks across multiple local systems without direct data sharing. This approach inherently involves large-scale distributed graph processing,…

Machine Learning · Computer Science 2025-01-22 Xunkai Li , Yinlin Zhu , Boyang Pang , Guochen Yan , Yeyu Yan , Zening Li , Zhengyu Wu , Wentao Zhang , Rong-Hua Li , Guoren Wang

Graph neural networks have shown remarkable performance in forecasting stock movements, which arises from learning complex inter-dependencies between stocks and intra-dynamics of stocks. Existing approaches based on graph neural networks…

Computational Engineering, Finance, and Science · Computer Science 2026-03-04 Zhuodong Jiang , Pengju Zhang , Peter Martin

Deep Graph Networks (DGNs) currently dominate the research landscape of learning from graphs, due to their efficiency and ability to implement an adaptive message-passing scheme between the nodes. However, DGNs are typically limited in…

Machine Learning · Computer Science 2023-02-09 Alessio Gravina , Davide Bacciu , Claudio Gallicchio

Flexible duplex networks allow users to dynamically employ uplink and downlink channels without static time scheduling, thereby utilizing the network resources efficiently. This work investigates the sum-rate maximization of flexible duplex…

Networking and Internet Architecture · Computer Science 2023-03-16 Tharaka Perera , Saman Atapattu , Yuting Fang , Prathapasinghe Dharmawansa , Jamie Evans

Federated Graph Learning (FGL) is an emerging technology that enables clients to collaboratively train powerful Graph Neural Networks (GNNs) in a distributed manner without exposing their private data. Nevertheless, FGL still faces the…

Machine Learning · Computer Science 2024-08-22 Longwen Wang , Jianchun Liu , Zhi Liu , Jinyang Huang

Graph neural networks (GNN) have been successful in many fields, and derived various researches and applications in real industries. However, in some privacy sensitive scenarios (like finance, healthcare), training a GNN model centrally…

Machine Learning · Computer Science 2021-05-25 Huanding Zhang , Tao Shen , Fei Wu , Mingyang Yin , Hongxia Yang , Chao Wu

This study addresses the challenge of achieving real-time Universal Self-Learning Control (USLC) in nonlinear dynamic systems with uncertain models. The proposed control method incorporates a Universal Self-Learning module, which introduces…

Systems and Control · Electrical Eng. & Systems 2024-06-27 Yanhui Zhang , Weifang Chen

Generative Flow Networks (GFlowNets, GFNs) are a generative framework for learning unnormalized probability mass functions over discrete spaces. Since their inception, GFlowNets have proven to be useful for learning generative models in…

Machine Learning · Computer Science 2025-04-17 Lazar Atanackovic , Emmanuel Bengio

Unsupervised multiplex graph learning (UMGL) has been shown to achieve significant effectiveness for different downstream tasks by exploring both complementary information and consistent information among multiple graphs. However, previous…

Machine Learning · Computer Science 2023-08-04 Liang Peng , Xin Wang , Xiaofeng Zhu

In this paper we present new L-borderenergetic graphs, this is, graphs which are L-noncospectral with Kn but have the same Laplacian energy. We also present some graphs which are noncospectral to respective normalized Laplacian energy and…

Spectral Theory · Mathematics 2016-11-07 Fernando Tura

In federated graph learning (FGL), a complete graph is divided into multiple subgraphs stored in each client due to privacy concerns, and all clients jointly train a global graph model by only transmitting model parameters. A pain point of…

Machine Learning · Computer Science 2025-03-26 Bo Yan , Zhongjian Zhang , Huabin Sun , Mengmei Zhang , Yang Cao , Chuan Shi

Even pruned by the state-of-the-art network compression methods, Graph Neural Networks (GNNs) training upon non-Euclidean graph data often encounters relatively higher time costs, due to its irregular and nasty density properties, compared…

Machine Learning · Computer Science 2022-10-04 Chunhui Zhang , Chao Huang , Yijun Tian , Qianlong Wen , Zhongyu Ouyang , Youhuan Li , Yanfang Ye , Chuxu Zhang

Graph neural networks (GNNs) have extended the success of deep neural networks (DNNs) to non-Euclidean graph data, achieving ground-breaking performance on various tasks such as node classification and graph property prediction.…

Machine Learning · Computer Science 2021-12-17 Tianfeng Liu , Yangrui Chen , Dan Li , Chuan Wu , Yibo Zhu , Jun He , Yanghua Peng , Hongzheng Chen , Hongzhi Chen , Chuanxiong Guo

Graph neural networks (GNNs) demonstrate outstanding performance in a broad range of applications. While the majority of GNN applications assume that a graph structure is given, some recent methods substantially expanded the applicability…

We consider a model of fractional diffusion involving the natural nonlocal version of the $p$-Laplacian operator. We study the Dirichlet problem posed in a bounded domain $\Omega$ of ${\mathbb{R}}^N$ with zero data outside of $\Omega$, for…

Analysis of PDEs · Mathematics 2015-06-02 Juan Luis Vázquez

Diagonal linear networks (DLNs) are a tractable model that captures several nontrivial behaviors in neural network training, such as initialization-dependent solutions and incremental learning. These phenomena are typically studied in…

Machine Learning · Statistics 2026-03-16 Sota Nishiyama , Masaaki Imaizumi

With the advent and recent ubiquity of foundation models, continual learning (CL) has recently shifted from continual training from scratch to the continual adaptation of pretrained models, seeing particular success on rehearsal-free CL…

Machine Learning · Computer Science 2025-09-23 Lukas Thede , Karsten Roth , Olivier J. Hénaff , Matthias Bethge , Zeynep Akata