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We address two fundamental questions about graph neural networks (GNNs). First, we prove that several important graph properties cannot be computed by GNNs that rely entirely on local information. Such GNNs include the standard message…

Machine Learning · Computer Science 2020-02-17 Vikas K. Garg , Stefanie Jegelka , Tommi Jaakkola

Graph Neural Networks (GNNs) have demonstrated strong representation learning capabilities for graph-based tasks. Recent advances on GNNs leverage geometric properties, such as curvature, to enhance its representation capabilities by…

Machine Learning · Computer Science 2025-03-04 Asela Hevapathige , Ahad N. Zehmakan , Qing Wang

In recent studies, neural message passing has proved to be an effective way to design graph neural networks (GNNs), which have achieved state-of-the-art performance in many graph-based tasks. However, current neural-message passing…

Machine Learning · Computer Science 2021-04-21 Wentao Zhang , Yu Shen , Zheyu Lin , Yang Li , Xiaosen Li , Wen Ouyang , Yangyu Tao , Zhi Yang , Bin Cui

We introduce an architecture for processing signals supported on hypergraphs via graph neural networks (GNNs), which we call a Hyper-graph Expansion Neural Network (HENN), and provide the first bounds on the stability and transferability…

Machine Learning · Computer Science 2022-12-14 Mikhail Hayhoe , Hans Riess , Victor M. Preciado , Alejandro Ribeiro

Graph neural networks (GNNs) are typically applied to static graphs that are assumed to be known upfront. This static input structure is often informed purely by insight of the machine learning practitioner, and might not be optimal for the…

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

Machine Learning · Computer Science 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

A long-standing goal in deep learning has been to characterize the learning behavior of black-box models in a more interpretable manner. For graph neural networks (GNNs), considerable advances have been made in formalizing what functions…

Machine Learning · Computer Science 2024-06-19 Chenxiao Yang , Qitian Wu , David Wipf , Ruoyu Sun , Junchi Yan

Deep Neural Networks have shown tremendous success in the area of object recognition, image classification and natural language processing. However, designing optimal Neural Network architectures that can learn and output arbitrary graphs…

Machine Learning · Computer Science 2019-07-02 Mital Kinderkhedia

The popularity of deep learning techniques renewed the interest in neural architectures able to process complex structures that can be represented using graphs, inspired by Graph Neural Networks (GNNs). We focus our attention on the…

Machine Learning · Computer Science 2021-09-02 Matteo Tiezzi , Giuseppe Marra , Stefano Melacci , Marco Maggini

Graph Neural Networks (GNNs) have become a prominent approach to machine learning with graphs and have been increasingly applied in a multitude of domains. Nevertheless, since most existing GNN models are based on flat message-passing…

Machine Learning · Computer Science 2022-10-27 Zhiqiang Zhong , Cheng-Te Li , Jun Pang

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

Dynamical systems consisting of a set of autonomous agents face the challenge of having to accomplish a global task, relying only on local information. While centralized controllers are readily available, they face limitations in terms of…

Machine Learning · Computer Science 2022-03-24 Fernando Gama , Qingbiao Li , Ekaterina Tolstaya , Amanda Prorok , Alejandro Ribeiro

Graph neural networks (GNNs) have achieved state-of-the-art performance in graph representation learning. Message passing neural networks, which learn representations through recursively aggregating information from each node and its…

Machine Learning · Computer Science 2024-05-20 Rongrong Ma , Guansong Pang , Ling Chen

Temporal graph is an abstraction for modeling dynamic systems that consist of evolving interaction elements. In this paper, we aim to solve an important yet neglected problem -- how to learn information from high-order neighbors in temporal…

Machine Learning · Computer Science 2023-04-17 Zehong Wang , Qi Li , Donghua Yu

Graph neural networks have been extensively studied for learning with inter-connected data. Despite this, recent evidence has revealed GNNs' deficiencies related to over-squashing, heterophily, handling long-range dependencies, edge…

Machine Learning · Computer Science 2023-06-16 Qitian Wu , Wentao Zhao , Zenan Li , David Wipf , Junchi Yan

Conventional recommender systems are required to train the recommendation model using a centralized database. However, due to data privacy concerns, this is often impractical when multi-parties are involved in recommender system training.…

Cryptography and Security · Computer Science 2024-08-28 Peihua Mai , Yan Pang

Graph neural networks (GNNs) have achieved champion in wide applications. Neural message passing is a typical key module for feature propagation by aggregating neighboring features. In this work, we propose a new message passing based on…

Machine Learning · Computer Science 2023-03-01 Xinliang Liu , Bingxin Zhou , Chutian Zhang , Yu Guang Wang

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

Graph neural networks (GNNs) fuel diverse machine learning tasks involving graph-structured data, ranging from predicting protein structures to serving personalized recommendations. Real-world graph data must often be stored distributed…

Machine Learning · Computer Science 2024-02-13 Aashish Kolluri , Sarthak Choudhary , Bryan Hooi , Prateek Saxena

Graph structure learning is a well-established problem that aims at optimizing graph structures adaptive to specific graph datasets to help message passing neural networks (i.e., GNNs) to yield effective and robust node embeddings. However,…

Machine Learning · Computer Science 2023-06-21 Wentao Zhao , Qitian Wu , Chenxiao Yang , Junchi Yan
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