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Graph neural networks (GNNs) have become the standard learning architectures for graphs. GNNs have been applied to numerous domains ranging from quantum chemistry, recommender systems to knowledge graphs and natural language processing. A…

Machine Learning · Computer Science 2022-02-11 Vijay Prakash Dwivedi , Anh Tuan Luu , Thomas Laurent , Yoshua Bengio , Xavier Bresson

We present GERN, a novel scalable framework for training GNNs in node classification tasks, based on effective resistance, a standard tool in spectral graph theory. Our method progressively refines the GNN weights on a sequence of random…

Machine Learning · Computer Science 2025-02-25 Francesco Bonchi , Claudio Gentile , Francesco Paolo Nerini , André Panisson , Fabio Vitale

Neural networks that process the parameters of other neural networks find applications in domains as diverse as classifying implicit neural representations, generating neural network weights, and predicting generalization errors. However,…

We study the problem of embedding edgeless nodes such as users who newly enter the underlying network, while using graph neural networks (GNNs) widely studied for effective representation learning of graphs. Our study is motivated by the…

Social and Information Networks · Computer Science 2022-11-01 Yong-Min Shin , Cong Tran , Won-Yong Shin , Xin Cao

To alleviate the local receptive issue of GCN, Transformers have been exploited to capture the long range dependences of nodes for graph data representation and learning. However, existing graph Transformers generally employ regular…

Machine Learning · Computer Science 2023-05-15 Bo Jiang , Fei Xu , Ziyan Zhang , Jin Tang , Feiping Nie

We propose Scalable Message Passing Neural Networks (SMPNNs) and demonstrate that, by integrating standard convolutional message passing into a Pre-Layer Normalization Transformer-style block instead of attention, we can produce…

Machine Learning · Computer Science 2026-03-11 Haitz Sáez de Ocáriz Borde , Artem Lukoianov , Anastasis Kratsios , Michael Bronstein , Xiaowen Dong

We show theoretically and empirically that the linear Transformer, when applied to graph data, can implement algorithms that solve canonical problems such as electric flow and eigenvector decomposition. The Transformer has access to…

Machine Learning · Computer Science 2025-03-04 Xiang Cheng , Lawrence Carin , Suvrit Sra

We propose an extension to the transformer neural network architecture for general-purpose graph learning by adding a dedicated pathway for pairwise structural information, called edge channels. The resultant framework - which we call…

Machine Learning · Computer Science 2022-06-06 Md Shamim Hussain , Mohammed J. Zaki , Dharmashankar Subramanian

Graph transformers (GTs) have emerged as a promising architecture that is theoretically more expressive than message-passing graph neural networks (GNNs). However, typical GT models have at least quadratic complexity and thus cannot scale…

Machine Learning · Computer Science 2024-04-09 Chenhui Deng , Zichao Yue , Zhiru Zhang

Graph Neural Networks (GNNs) have led to state-of-the-art performance on a variety of machine learning tasks such as recommendation, node classification and link prediction. Graph neural network models generate node embeddings by merging…

Machine Learning · Computer Science 2020-11-04 Yunpeng Weng , Xu Chen , Liang Chen , Wei Liu

In the field of deep learning, Graph Neural Networks (GNNs) and Graph Transformer models, with their outstanding performance and flexible architectural designs, have become leading technologies for processing structured data, especially…

Machine Learning · Computer Science 2025-02-04 Jiawei E , Yinglong Zhang , Xuewen Xia , Xing Xu

Graphs provide a powerful means for representing complex interactions between entities. Recently, deep learning approaches are emerging for representing and modeling graph-structured data, although the conventional deep learning methods…

Neural and Evolutionary Computing · Computer Science 2016-12-06 Jaekoo Lee , Hyunjae Kim , Jongsun Lee , Sungroh Yoon

Autoencoders are effective deep learning models that can function as generative models and learn latent representations for downstream tasks. The use of graph autoencoders - with both encoder and decoder implemented as message passing…

Machine Learning · Computer Science 2025-03-04 Magnus Cunow , Gerrit Großmann

Message-passing Graph Neural Networks (GNNs) are often criticized for their limited expressiveness, issues like over-smoothing and over-squashing, and challenges in capturing long-range dependencies. Conversely, Graph Transformers (GTs) are…

Machine Learning · Computer Science 2025-11-04 Yuankai Luo , Lei Shi , Xiao-Ming Wu

How to obtain informative representations of molecules is a crucial prerequisite in AI-driven drug design and discovery. Recent researches abstract molecules as graphs and employ Graph Neural Networks (GNNs) for molecular representation…

Biomolecules · Quantitative Biology 2020-10-30 Yu Rong , Yatao Bian , Tingyang Xu , Weiyang Xie , Ying Wei , Wenbing Huang , Junzhou Huang

As more deep learning models are being applied in real-world applications, there is a growing need for modeling and learning the representations of neural networks themselves. An efficient representation can be used to predict target…

Machine Learning · Computer Science 2023-10-17 Yun Yi , Haokui Zhang , Rong Xiao , Nannan Wang , Xiaoyu Wang

We propose a new Graph Neural Network that combines recent advancements in the field. We give theoretical contributions by proving that the model is strictly more general than the Graph Isomorphism Network and the Gated Graph Neural…

Machine Learning · Computer Science 2020-01-27 Federico Errica , Davide Bacciu , Alessio Micheli

Graph transformers are the state-of-the-art for learning from graph-structured data and are empirically known to avoid several pitfalls of message-passing architectures. However, there is limited theoretical analysis on why these models…

Machine Learning · Statistics 2026-03-19 Nil Ayday , Lingchu Yang , Debarghya Ghoshdastidar

Multi-graph learning is crucial for extracting meaningful signals from collections of heterogeneous graphs. However, effectively integrating information across graphs with differing topologies, scales, and semantics, often in the absence of…

Machine Learning · Computer Science 2026-02-02 Zahra Moslemi , Ziyi Liang , Norbert Fortin , Babak Shahbaba

Graph Neural Networks (GNNs) have emerged as a powerful category of learning architecture for handling graph-structured data. However, existing GNNs typically ignore crucial structural characteristics in node-induced subgraphs, which thus…

Machine Learning · Computer Science 2023-06-13 Kaixuan Chen , Shunyu Liu , Tongtian Zhu , Tongya Zheng , Haofei Zhang , Zunlei Feng , Jingwen Ye , Mingli Song