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Graph neural networks (GNNs) have drawn increasing attention in recent years and achieved remarkable performance in many graph-based tasks, especially in semi-supervised learning on graphs. However, most existing GNNs are based on the…

Machine Learning · Computer Science 2024-01-24 Li Zhou , Wenyu Chen , Dingyi Zeng , Shaohuan Cheng , Wanlong Liu , Malu Zhang , Hong Qu

This paper introduces a novel message-passing (MP) framework for the collaborative filtering (CF) problem associated with recommender systems. We model the movie-rating prediction problem popularized by the Netflix Prize, using a…

Information Theory · Computer Science 2010-04-08 Byung-Hak Kim , Arvind Yedla , Henry D. Pfister

We study the convergence of message passing graph neural networks on random graph models to their continuous counterpart as the number of nodes tends to infinity. Until now, this convergence was only known for architectures with aggregation…

Machine Learning · Statistics 2025-02-13 Matthieu Cordonnier , Nicolas Keriven , Nicolas Tremblay , Samuel Vaiter

Graph Neural Network (GNN) resembles the diffusion process, leading to the over-smoothing of learned representations when stacking many layers. Hence, the reverse process of message passing can produce the distinguishable node…

Social and Information Networks · Computer Science 2024-06-12 MoonJeong Park , Jaeseung Heo , Dongwoo Kim

Graph neural networks have recently emerged as a very effective framework for processing graph-structured data. These models have achieved state-of-the-art performance in many tasks. Most graph neural networks can be described in terms of…

Computation and Language · Computer Science 2019-11-25 Giannis Nikolentzos , Antoine J. -P. Tixier , Michalis Vazirgiannis

Message passing plays a vital role in graph neural networks (GNNs) for effective feature learning. However, the over-reliance on input topology diminishes the efficacy of message passing and restricts the ability of GNNs. Despite efforts to…

Machine Learning · Computer Science 2024-12-03 Junshu Sun , Chenxue Yang , Xiangyang Ji , Qingming Huang , Shuhui Wang

We propose a new iterative optimization method for the {\bf Data-Fitting} (DF) problem in Machine Learning, e.g. Neural Network (NN) training. The approach relies on {\bf Graphical Model} (GM) representation of the DF problem, where…

Machine Learning · Computer Science 2021-02-17 Francesco Concetti , Michael Chertkov

Motion prediction is essential and challenging for autonomous vehicles and social robots. One challenge of motion prediction is to model the interaction among traffic actors, which could cooperate with each other to avoid collisions or form…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Yue Hu , Siheng Chen , Ya Zhang , Xiao Gu

Message passing neural networks (MPNN) have seen a steep rise in popularity since their introduction as generalizations of convolutional neural networks to graph-structured data, and are now considered state-of-the-art tools for solving a…

Machine Learning · Computer Science 2022-08-05 Sohir Maskey , Ron Levie , Yunseok Lee , Gitta Kutyniok

Bayesian neural networks (BNNs) offer the potential for reliable uncertainty quantification and interpretability, which are critical for trustworthy AI in high-stakes domains. However, existing methods often struggle with issues such as…

Machine Learning · Computer Science 2025-01-28 Romeo Sommerfeld , Christian Helms , Ralf Herbrich

Message passing has evolved as an effective tool for designing Graph Neural Networks (GNNs). However, most existing methods for message passing simply sum or average all the neighboring features to update node representations. They are…

Machine Learning · Computer Science 2022-06-17 Rui Yang , Wenrui Dai , Chenglin Li , Junni Zou , Hongkai Xiong

Heterogeneous information networks (HINs) can be used to model various real-world systems. As HINs consist of multiple types of nodes, edges, and node features, it is nontrivial to directly apply graph neural network (GNN) techniques in…

Machine Learning · Computer Science 2025-01-15 Zhaoqing Li , Maiqi Jiang , Shengyuan Chen , Bo Li , Guorong Chen , Xiao Huang

We propose a new family of message passing techniques for MAP estimation in graphical models which we call {\em Sequential Reweighted Message Passing} (SRMP). Special cases include well-known techniques such as {\em Min-Sum Diffusion} (MSD)…

Artificial Intelligence · Computer Science 2017-01-20 Vladimir Kolmogorov

The paper presents a solution to the problem of universal representation of graphs exemplifying communication network topologies with the help of neural networks. The proposed approach is based on message-passing neural networks (MPNN). The…

Networking and Internet Architecture · Computer Science 2019-04-15 Krzysztof Rusek , Piotr Chołda

While Graph Neural Networks (GNNs) have achieved remarkable success, their design largely relies on empirical intuition rather than theoretical understanding. In this paper, we present a comprehensive analysis of GNN behavior through three…

Machine Learning · Computer Science 2025-02-04 Qin Jiang , Chengjia Wang , Michael Lones , Wei Pang

Graph neural network (GNN) and label propagation algorithm (LPA) are both message passing algorithms, which have achieved superior performance in semi-supervised classification. GNN performs feature propagation by a neural network to make…

Machine Learning · Computer Science 2021-05-12 Yunsheng Shi , Zhengjie Huang , Shikun Feng , Hui Zhong , Wenjin Wang , Yu Sun

Graph neural networks (GNNs) have become an indispensable tool for analyzing relational data. Classical GNNs are broadly classified into three variants: convolutional, attentional, and message-passing. While the standard message-passing…

Machine Learning · Computer Science 2026-01-09 Brian Godwin Lim , Galvin Brice Lim , Renzo Roel Tan , Irwin King , Kazushi Ikeda

Graph neural networks (GNNs) have been widely used to learn vector representation of graph-structured data and achieved better task performance than conventional methods. The foundation of GNNs is the message passing procedure, which…

Machine Learning · Computer Science 2022-01-31 Takeshi D. Itoh , Takatomi Kubo , Kazushi Ikeda

Message-passing algorithms have been adapted for compressive imaging by incorporating various off-the-shelf image denoisers. However, these denoisers rely largely on generic or hand-crafted priors and often fall short in accurately…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Chang Cai , Hao Jiang , Xiaojun Yuan , Ying-Jun Angela Zhang

Message passing neural networks (MPNNs) are powerful models for node classification but suffer from performance limitations under heterophily (low same-class connectivity) and structural bottlenecks in the graph. We provide a unifying…

Machine Learning · Computer Science 2025-08-26 Jonathan Rubin , Sahil Loomba , Nick S. Jones
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