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In this paper, we show that a simple coloring scheme can improve, both theoretically and empirically, the expressive power of Message Passing Neural Networks(MPNNs). More specifically, we introduce a graph neural network called Colored…

机器学习 · 计算机科学 2019-12-13 George Dasoulas , Ludovic Dos Santos , Kevin Scaman , Aladin Virmaux

Message passing Graph Neural Networks (GNNs) are known to be limited in expressive power by the 1-WL color-refinement test for graph isomorphism. Other more expressive models either are computationally expensive or need preprocessing to…

机器学习 · 计算机科学 2024-02-01 Mohammed Haroon Dupty , Yanfei Dong , Wee Sun Lee

Message-Passing Graph Neural Networks (GNNs) are known to have limited expressive power, due to their message passing structure. One mechanism for circumventing this limitation is to add unique node identifiers (IDs), which break the…

Graph Neural Networks have inherent representational limitations due to their message-passing structure. Recent work has suggested that these limitations can be overcome by using unique node identifiers (UIDs). Here we argue that despite…

Graph Neural Networks (GNNs) have achieved remarkable performance on graph-based tasks. The key idea for GNNs is to obtain informative representation through aggregating information from local neighborhoods. However, it remains an open…

机器学习 · 计算机科学 2022-06-29 Songtao Liu , Rex Ying , Hanze Dong , Lanqing Li , Tingyang Xu , Yu Rong , Peilin Zhao , Junzhou Huang , Dinghao Wu

The success of Graph Neural Networks (GNN) in learning on non-Euclidean data arouses many subtopics, such as Label-inputted GNN (LGNN) and Implicit GNN (IGNN). LGNN, explicitly inputting supervising information (a.k.a. labels) in GNN,…

机器学习 · 计算机科学 2023-06-01 Yi Luo , Guiduo Duan , Guangchun Luo , Aiguo Chen

Graph Neural Networks (GNNs) have demonstrated superior performance in learning node representations for various graph inference tasks. However, learning over graph data can raise privacy concerns when nodes represent people or…

机器学习 · 计算机科学 2021-07-08 Sina Sajadmanesh , Daniel Gatica-Perez

Graph neural networks (GNNs) are powerful machine learning models for various graph learning tasks. Recently, the limitations of the expressive power of various GNN models have been revealed. For example, GNNs cannot distinguish some…

机器学习 · 计算机科学 2021-01-19 Ryoma Sato , Makoto Yamada , Hisashi Kashima

Our interest is in scientific problems with the following characteristics: (1) Data are naturally represented as graphs; (2) The amount of data available is typically small; and (3) There is significant domain-knowledge, usually expressed…

机器学习 · 计算机科学 2021-08-17 Tirtharaj Dash , Ashwin Srinivasan , Lovekesh Vig

The task of graph node classification is often approached by utilizing a local Graph Neural Network (GNN), that learns only local information from the node input features and their adjacency. In this paper, we propose to improve the…

机器学习 · 计算机科学 2024-06-18 Moshe Eliasof , Eran Treister

Learning to optimize is a rapidly growing area that aims to solve optimization problems or improve existing optimization algorithms using machine learning (ML). In particular, the graph neural network (GNN) is considered a suitable ML model…

机器学习 · 计算机科学 2023-05-29 Ziang Chen , Jialin Liu , Xinshang Wang , Jianfeng Lu , Wotao Yin

Graph Neural Networks (GNNs) have emerged as prominent models for representation learning on graph structured data. GNNs follow an approach of message passing analogous to 1-dimensional Weisfeiler Lehman (1-WL) test for graph isomorphism…

机器学习 · 计算机科学 2022-03-18 Mohammed Haroon Dupty , Wee Sun Lee

While Mixed-integer linear programming (MILP) is NP-hard in general, practical MILP has received roughly 100--fold speedup in the past twenty years. Still, many classes of MILPs quickly become unsolvable as their sizes increase, motivating…

机器学习 · 计算机科学 2023-05-29 Ziang Chen , Jialin Liu , Xinshang Wang , Jianfeng Lu , Wotao Yin

Rule-based fine-grained IP geolocation methods are hard to generalize in computer networks which do not follow hypothetical rules. Recently, deep learning methods, like multi-layer perceptron (MLP), are tried to increase generalization…

机器学习 · 计算机科学 2023-04-18 Shichang Ding , Xiangyang Luo , Jinwei Wang , Xiaoming Fu

Graph neural networks (GNNs) are fundamental tools in graph machine learning. The performance of GNNs relies crucially on the availability of informative node features, which can be limited or absent in real-life datasets and applications.…

机器学习 · 计算机科学 2025-12-08 Ziyao Cui , Edric Tam

This paper studies four Graph Neural Network architectures (GNNs) for a graph classification task on a synthetic dataset created using classic generative models of Network Science. Since the synthetic networks do not contain (node or edge)…

社会与信息网络 · 计算机科学 2024-01-12 Walid Guettala , László Gulyás

We propose and study Hierarchical Ego Graph Neural Networks (HEGNNs), an expressive extension of graph neural networks (GNNs) with hierarchical node individualization, inspired by the Individualization-Refinement paradigm for isomorphism…

机器学习 · 计算机科学 2026-01-26 Arie Soeteman , Balder ten Cate

In recent years, there has been a significant amount of research focused on expanding the expressivity of Graph Neural Networks (GNNs) beyond the Weisfeiler-Lehman (1-WL) framework. While many of these studies have yielded advancements in…

机器学习 · 计算机科学 2024-03-12 Shouheng Li , Dongwoo Kim , Qing Wang

Graph Neural Networks (GNNs) have demonstrated impressive performance across diverse graph-based tasks by leveraging message passing to capture complex node relationships. However, on large-scale real-world graphs, GNNs face two major…

机器学习 · 计算机科学 2026-03-10 Xiang Li , Jianpeng Qi , Haobing Liu , Yuan Cao , Guoqing Chao , Zhongying Zhao , Junyu Dong , Xinwang Liu , Yanwei Yu

Graph Neural Networks (GNNs) with numerical node features and graph structure as inputs have demonstrated superior performance on various supervised learning tasks with graph data. However the numerical node features utilized by GNNs are…

机器学习 · 计算机科学 2022-06-20 Jiuhai Chen , Jonas Mueller , Vassilis N. Ioannidis , Tom Goldstein , David Wipf
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