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Homophily principle, \ie{} nodes with the same labels or similar attributes are more likely to be connected, has been commonly believed to be the main reason for the superiority of Graph Neural Networks (GNNs) over traditional Neural…

Many real-world data can be represented as heterogeneous graphs with different types of nodes and connections. Heterogeneous graph neural network model aims to embed nodes or subgraphs into low-dimensional vector space for various…

Artificial Intelligence · Computer Science 2024-12-24 Xinjun Cai , Jiaxing Shang , Fei Hao , Dajiang Liu , Linjiang Zheng

Graph Neural Networks (GNNs) are powerful tools for graph representation learning. Despite their rapid development, GNNs also face some challenges, such as over-fitting, over-smoothing, and non-robustness. Previous works indicate that these…

Machine Learning · Computer Science 2023-07-04 Taoran Fang , Zhiqing Xiao , Chunping Wang , Jiarong Xu , Xuan Yang , Yang Yang

Modelling long-range dependencies is critical for scene understanding tasks in computer vision. Although CNNs have excelled in many vision tasks, they are still limited in capturing long-range structured relationships as they typically…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Li Zhang , Dan Xu , Anurag Arnab , Philip H. S. Torr

With the widespread use of Graph Neural Networks (GNNs) for representation learning from network data, the fairness of GNN models has raised great attention lately. Fair GNNs aim to ensure that node representations can be accurately…

Social and Information Networks · Computer Science 2024-10-23 Guixian Zhang , Guan Yuan , Debo Cheng , Lin Liu , Jiuyong Li , Shichao Zhang

Graph neural networks (GNNs) have become the state of the art for various graph-related tasks and are particularly prominent in heterogeneous graphs (HetGs). However, several issues plague this paradigm: first, the difficulty in fully…

Machine Learning · Computer Science 2025-02-25 Xuqi Mao , Zhenying He , X. Sean Wang

We show that a message-passing process allows to store in binary "material" synapses a number of random patterns which almost saturates the information theoretic bounds. We apply the learning algorithm to networks characterized by a wide…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alfredo Braunstein , Riccardo Zecchina

We consider the problem of localizing change points in a generalized linear model (GLM), a model that covers many widely studied problems in statistical learning including linear, logistic, and rectified linear regression. We propose a…

Machine Learning · Statistics 2025-09-08 Gabriel Arpino , Xiaoqi Liu , Julia Gontarek , Ramji Venkataramanan

With the increasing use of Graph Neural Networks (GNNs) in critical real-world applications, several post hoc explanation methods have been proposed to understand their predictions. However, there has been no work in generating explanations…

Machine Learning · Computer Science 2022-12-02 Valentina Giunchiglia , Chirag Varun Shukla , Guadalupe Gonzalez , Chirag Agarwal

We address a largely open problem of multilabel classification over graphs. Unlike traditional vector input, a graph has rich variable-size substructures which are related to the labels in some ways. We believe that uncovering these…

Machine Learning · Computer Science 2018-04-12 Kien Do , Truyen Tran , Thin Nguyen , Svetha Venkatesh

Approximate message passing (AMP) is a class of low-complexity, scalable algorithms for solving high-dimensional linear regression tasks where one wishes to recover an unknown signal from noisy, linear measurements. AMP is an iterative…

Information Theory · Computer Science 2019-08-27 Yanting Ma , Cynthia Rush , Dror Baron

A concise expectation propagation (EP) based message passing algorithm (MPA) is derived for the general measurement channel. By neglecting some high-order infinitesimal terms, the EP-MPA is proven to be equivalent to the Generalized…

Information Theory · Computer Science 2019-07-11 Lei Liu , Ying Li , Chongwen Huang , Chau Yuen , Yong Liang Guan

Probabilistic inference problems arise naturally in distributed systems such as sensor networks and teams of mobile robots. Inference algorithms that use message passing are a natural fit for distributed systems, but they must be robust to…

Artificial Intelligence · Computer Science 2012-07-19 Mark Paskin , Carlos E. Guestrin

Approximate message passing (AMP) is a class of efficient algorithms for solving high-dimensional linear regression tasks where one wishes to recover an unknown signal \beta_0 from noisy, linear measurements y = A \beta_0 + w. When applying…

Information Theory · Computer Science 2017-08-15 Yanting Ma , Cynthia Rush , Dror Baron

There has been significant progress in improving the performance of graph neural networks (GNNs) through enhancements in graph data, model architecture design, and training strategies. For fairness in graphs, recent studies achieve fair…

Machine Learning · Computer Science 2023-12-20 Zhimeng Jiang , Xiaotian Han , Chao Fan , Zirui Liu , Na Zou , Ali Mostafavi , Xia Hu

We present a hierarchical neural message passing architecture for learning on molecular graphs. Our model takes in two complementary graph representations: the raw molecular graph representation and its associated junction tree, where nodes…

Machine Learning · Computer Science 2020-06-23 Matthias Fey , Jan-Gin Yuen , Frank Weichert

Various alignment problems arising in cryo-electron microscopy, community detection, time synchronization, computer vision, and other fields fall into a common framework of synchronization problems over compact groups such as Z/L, U(1), or…

Information Theory · Computer Science 2018-09-14 Amelia Perry , Alexander S. Wein , Afonso S. Bandeira , Ankur Moitra

Heterogeneous graph neural networks (HGNNs) have demonstrated their superiority in exploiting auxiliary information for recommendation tasks. However, graphs constructed using meta-paths in HGNNs are usually too dense and contain a large…

Information Retrieval · Computer Science 2025-06-02 Lei Sang , Yu Wang , Yiwen Zhang

Most graph neural network models rely on a particular message passing paradigm, where the idea is to iteratively propagate node representations of a graph to each node in the direct neighborhood. While very prominent, this paradigm leads to…

Machine Learning · Computer Science 2023-01-24 Ralph Abboud , Radoslav Dimitrov , İsmail İlkan Ceylan

Explaining graph neural networks (GNNs) has become more and more important recently. Higher-order interpretation schemes, such as GNN-LRP (layer-wise relevance propagation for GNN), emerged as powerful tools for unraveling how different…

Machine Learning · Computer Science 2026-05-22 Ping Xiong , Thomas Schnake , Grégoire Montavon , Klaus-Robert Müller , Shinichi Nakajima