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Neural message passing is a basic feature extraction unit for graph-structured data considering neighboring node features in network propagation from one layer to the next. We model such process by an interacting particle system with…

Machine Learning · Computer Science 2025-07-24 Yuelin Wang , Kai Yi , Xinliang Liu , Yu Guang Wang , Shi Jin

Graph Neural Networks (GNNs) have emerged as a powerful technique for learning on relational data. Owing to the relatively limited number of message passing steps they perform -- and hence a smaller receptive field -- there has been…

Machine Learning · Computer Science 2022-06-27 Ameya Velingker , Ali Kemal Sinop , Ira Ktena , Petar Veličković , Sreenivas Gollapudi

Distributed optimization is fundamental to large-scale machine learning and control applications. Among existing methods, the alternating direction method of multipliers (ADMM) has gained popularity due to its strong convergence guarantees…

Machine Learning · Computer Science 2026-04-15 Henri Doerks , Paul Häusner , Daniel Hernández Escobar , Jens Sjölund

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

Graph neural networks (GNNs) are a popular class of parametric model for learning over graph-structured data. Recent work has argued that GNNs primarily use the graph for feature smoothing, and have shown competitive results on benchmark…

Machine Learning · Computer Science 2020-11-20 Lingfan Yu , Jiajun Shen , Jinyang Li , Adam Lerer

Graph signal processing deals with algorithms and signal representations that leverage graph structures for multivariate data analysis. Often said graph topology is not readily available and may be time-varying, hence (dynamic) graph…

Signal Processing · Electrical Eng. & Systems 2024-09-20 Hector Chahuara , Gonzalo Mateos

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

Approximate Message Passing (AMP) algorithms enable precise characterization of certain classes of random objects in the high-dimensional limit, and have found widespread applications in fields such as signal processing, statistics, and…

Statistics Theory · Mathematics 2025-07-01 Longlin Wang , Yanke Song , Kuanhao Jiang , Pragya Sur

Graph Neural Networks (GNNs) suffer from Oversquashing, which occurs when tasks require long-range interactions. The problem arises from the presence of bottlenecks that limit the propagation of messages among distant nodes. Recently, graph…

Machine Learning · Computer Science 2025-09-09 Kushal Bose , Swagatam Das

Graph matching can be formalized as a combinatorial optimization problem, where there are corresponding relationships between pairs of nodes that can be represented as edges. This problem becomes challenging when there are potential…

Computer Vision and Pattern Recognition · Computer Science 2023-01-06 Dongdong Chen , Yuxing Dai , Lichi Zhang , Zhihong Zhang

Graph Neural Networks (GNNs) have demonstrated strong performance in graph mining tasks due to their message-passing mechanism, which is aligned with the homophily assumption that adjacent nodes exhibit similar behaviors. However, in many…

Machine Learning · Computer Science 2024-05-29 Zhuonan Zheng , Yuanchen Bei , Sheng Zhou , Yao Ma , Ming Gu , HongJia XU , Chengyu Lai , Jiawei Chen , Jiajun Bu

We propose a novel benchmarking methodology for graph neural networks (GNNs) based on the graph alignment problem, a combinatorial optimization task that generalizes graph isomorphism by aligning two unlabeled graphs to maximize overlapping…

Machine Learning · Computer Science 2025-05-20 Adrien Lagesse , Marc Lelarge

Approximate message passing (AMP) algorithms are iterative methods for signal recovery in noisy linear systems. In some scenarios, AMP algorithms need to operate within a distributed network. To address this challenge, the distributed…

Signal Processing · Electrical Eng. & Systems 2024-07-26 Jun Lu , Lei Liu , Shunqi Huang , Ning Wei , Xiaoming Chen

Limited by the time complexity of querying k-hop neighbors in a graph database, most graph algorithms cannot be deployed online and execute millisecond-level inference. This problem dramatically limits the potential of applying graph…

Artificial Intelligence · Computer Science 2021-07-06 Xuhong Wang , Ding Lyu , Mengjian Li , Yang Xia , Qi Yang , Xinwen Wang , Xinguang Wang , Ping Cui , Yupu Yang , Bowen Sun , Zhenyu Guo

New types of machine learning hardware in development and entering the market hold the promise of revolutionizing deep learning in a manner as profound as GPUs. However, existing software frameworks and training algorithms for deep learning…

Graph neural networks (GNNs) learn to represent nodes by aggregating information from their neighbors. As GNNs increase in depth, their receptive field grows exponentially, leading to high memory costs. Several existing methods address this…

Machine Learning · Computer Science 2025-07-16 Taraneh Younesian , Daniel Daza , Emile van Krieken , Thiviyan Thanapalasingam , Peter Bloem

Graph neural networks have emerged as a powerful tool for learning spatiotemporal interactions. However, conventional approaches often rely on predefined graphs, which may obscure the precise relationships being modeled. Additionally,…

Machine Learning · Computer Science 2025-02-21 Jeehong Kim , Minchan Kim , Jaeseong Ju , Youngseok Hwang , Wonhee Lee , Hyunwoo Park

Despite recent advances in achieving fair representations and predictions through regularization, adversarial debiasing, and contrastive learning in graph neural networks (GNNs), the working mechanism (i.e., message passing) behind GNNs…

Machine Learning · Computer Science 2022-02-10 Zhimeng Jiang , Xiaotian Han , Chao Fan , Zirui Liu , Na Zou , Ali Mostafavi , Xia Hu

Graph matching involves combinatorial optimization based on edge-to-edge affinity matrix, which can be generally formulated as Lawler's Quadratic Assignment Problem (QAP). This paper presents a QAP network directly learning with the…

Machine Learning · Computer Science 2021-05-07 Runzhong Wang , Junchi Yan , Xiaokang Yang

Existing Graph Neural Networks (GNNs) follow the message-passing mechanism that conducts information interaction among nodes iteratively. While considerable progress has been made, such node interaction paradigms still have the following…

Machine Learning · Computer Science 2023-04-14 Jie Chen , Zilong Li , Yin Zhu , Junping Zhang , Jian Pu