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Graph neural networks (GNNs) have struggled to outperform traditional optimization methods on combinatorial problems, limiting their practical impact. We address this gap by introducing a novel chaining procedure for the graph alignment…

机器学习 · 计算机科学 2025-10-06 Marc Lelarge

Improving the scalability of GNNs is critical for large graphs. Existing methods leverage three sampling paradigms including node-wise, layer-wise and subgraph sampling, then design unbiased estimator for scalability. However, the high…

机器学习 · 计算机科学 2022-11-21 Yang Li , Bingbing Xu , Qi Cao , Yige Yuan , Huawei Shen

In recent years, graph neural networks (GNNs) have been widely applied in tackling combinatorial optimization problems. However, existing methods still suffer from limited accuracy when addressing that on complex graphs and exhibit poor…

机器学习 · 计算机科学 2025-11-13 Yuyao Long

The recent advancements in graph neural networks (GNNs) have led to state-of-the-art performances in various applications, including chemo-informatics, question-answering systems, and recommender systems. However, scaling up these methods…

机器学习 · 计算机科学 2022-03-30 Ryoma Sato , Makoto Yamada , Hisashi Kashima

Graph neural networks (GNNs) have been widely investigated in the field of semi-supervised graph machine learning. Most methods fail to exploit adequate graph information when labeled data is limited, leading to the problem of…

机器学习 · 计算机科学 2023-03-15 Linxuan Song , Wenxuan Tu , Sihang Zhou , Xinwang Liu , En Zhu

In recent years, graph neural networks (GNNs) have become increasingly popular for solving NP-hard combinatorial optimization (CO) problems, such as maximum cut and maximum independent set. The core idea behind these methods is to represent…

机器学习 · 计算机科学 2024-06-11 Yang Liu , Peng Zhang , Yang Gao , Chuan Zhou , Zhao Li , Hongyang Chen

Current Graph Neural Networks (GNNs) suffer from the over-smoothing problem, which results in indistinguishable node representations and low model performance with more GNN layers. Many methods have been put forward to tackle this problem…

机器学习 · 计算机科学 2022-10-25 Xinshun Feng , Herun Wan , Shangbin Feng , Hongrui Wang , Jun Zhou , Qinghua Zheng , Minnan Luo

A $k$-defective clique of an undirected graph $G$ is a subset of its vertices that induces a nearly complete graph with a maximum of $k$ missing edges. The maximum $k$-defective clique problem, which asks for the largest $k$-defective…

数据结构与算法 · 计算机科学 2024-07-25 Chunyu Luo , Yi Zhou , Zhengren Wang , Mingyu Xiao

Graph convolutional network (GCN) is a powerful model studied broadly in various graph structural data learning tasks. However, to mitigate the over-smoothing phenomenon, and deal with heterogeneous graph structural data, the design of GCN…

机器学习 · 统计学 2024-12-12 Jia Cai , Zhilong Xiong , Shaogao Lv

Agglomeration-based strategies are important both within adaptive refinement algorithms and to construct scalable multilevel algebraic solvers. In order to automatically perform agglomeration of polygonal grids, we propose the use of…

数值分析 · 数学 2023-03-17 P. F. Antonietti , N. Farenga , E. Manuzzi , G. Martinelli , L. Saverio

In Nature Machine Intelligence 4, 367 (2022), Schuetz et al provide a scheme to employ graph neural networks (GNN) as a heuristic to solve a variety of classical, NP-hard combinatorial optimization problems. It describes how the network is…

无序系统与神经网络 · 物理学 2023-01-03 Stefan Boettcher

Recently, message-passing graph neural networks (MPNNs) have shown potential for solving combinatorial and continuous optimization problems due to their ability to capture variable-constraint interactions. While existing approaches leverage…

人工智能 · 计算机科学 2025-02-05 Chendi Qian , Christopher Morris

Oversmoothing in Graph Neural Networks (GNNs) refers to the phenomenon where increasing network depth leads to homogeneous node representations. While previous work has established that Graph Convolutional Networks (GCNs) exponentially lose…

机器学习 · 计算机科学 2024-06-05 Xinyi Wu , Amir Ajorlou , Zihui Wu , Ali Jadbabaie

Graph neural networks have been successful in many learning problems and real-world applications. A recent line of research explores the power of graph neural networks to solve combinatorial and graph algorithmic problems such as subgraph…

机器学习 · 计算机科学 2021-08-20 Reyan Ahmed , Md Asadullah Turja , Faryad Darabi Sahneh , Mithun Ghosh , Keaton Hamm , Stephen Kobourov

Narrowing the performance gap between optimal and feasible detection in inter-symbol interference (ISI) channels, this paper proposes to use graph neural networks (GNNs) for detection that can also be used to perform joint detection and…

信息论 · 计算机科学 2025-07-16 Jannis Clausius , Marvin Rübenacke , Daniel Tandler , Stephan ten Brink

Graph Convolutional Network (GCN) has experienced great success in graph analysis tasks. It works by smoothing the node features across the graph. The current GCN models overwhelmingly assume that the node feature information is complete.…

机器学习 · 计算机科学 2020-12-08 Hibiki Taguchi , Xin Liu , Tsuyoshi Murata

Graph Neural Networks (GNNs) have received considerable attention on graph-structured data learning for a wide variety of tasks. The well-designed propagation mechanism which has been demonstrated effective is the most fundamental part of…

机器学习 · 计算机科学 2021-01-29 Meiqi Zhu , Xiao Wang , Chuan Shi , Houye Ji , Peng Cui

Graph Neural Networks (GNNs) have demonstrated impressive capabilities in modeling graph-structured data, while Spiking Neural Networks (SNNs) offer high energy efficiency through sparse, event-driven computation. However, existing spiking…

神经与进化计算 · 计算机科学 2025-08-26 Bowen Zhang , Genan Dai , Hu Huang , Long Lan

Graph convolutional networks (GCNs) are a powerful deep learning approach for graph-structured data. Recently, GCNs and subsequent variants have shown superior performance in various application areas on real-world datasets. Despite their…

机器学习 · 计算机科学 2020-07-07 Ming Chen , Zhewei Wei , Zengfeng Huang , Bolin Ding , Yaliang Li

Deep learning has consistently defied state-of-the-art techniques in many fields over the last decade. However, we are just beginning to understand the capabilities of neural learning in symbolic domains. Deep learning architectures that…

机器学习 · 计算机科学 2020-03-10 Henrique Lemos , Marcelo Prates , Pedro Avelar , Luis Lamb