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Graph neural networks (GNNs) have emerged as a powerful framework for a wide range of node-level graph learning tasks. However, their performance typically depends on random or minimally informed initial feature representations, where poor…

Machine Learning · Computer Science 2026-02-24 Shiyu Chen , Cencheng Shen , Youngser Park , Carey E. Priebe

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

Disordered Systems and Neural Networks · Physics 2026-02-23 O. Duranthon , L. Zdeborová

Transformers have achieved remarkable performance in a myriad of fields including natural language processing and computer vision. However, when it comes to the graph mining area, where graph neural network (GNN) has been the dominant…

Machine Learning · Computer Science 2021-10-26 Jianan Zhao , Chaozhuo Li , Qianlong Wen , Yiqi Wang , Yuming Liu , Hao Sun , Xing Xie , Yanfang Ye

Graph neural networks (GNNs) have demonstrated remarkable success in graph representation learning, and various sampling approaches have been proposed to scale GNNs to applications with large-scale graphs. A class of promising GNN training…

Machine Learning · Computer Science 2024-10-10 Rui Xue , Tong Zhao , Neil Shah , Xiaorui Liu

The graph coloring problem asks for an assignment of the minimum number of distinct colors to vertices in an undirected graph with the constraint that no pair of adjacent vertices share the same color. The problem is a thoroughly studied…

Machine Learning · Computer Science 2024-08-12 Kenneth Langedal , Fredrik Manne

Graph Neural Networks have emerged as a useful tool to learn on the data by applying additional constraints based on the graph structure. These graphs are often created with assumed intrinsic relations between the entities. In recent years,…

Machine Learning · Statistics 2021-05-18 Sunil Kumar Maurya , Xin Liu , Tsuyoshi Murata

Unsupervised graph representation learning aims to learn low-dimensional node embeddings without supervision while preserving graph topological structures and node attributive features. Previous graph neural networks (GNN) require a large…

Machine Learning · Computer Science 2020-09-04 Yanqiao Zhu , Yichen Xu , Feng Yu , Shu Wu , Liang Wang

As graphs scale to billions of nodes and edges, graph Machine Learning workloads are constrained by the cost of multi-hop traversals over exponentially growing neighborhoods. While various system-level and algorithmic optimizations have…

Machine Learning · Computer Science 2026-03-10 Yuhang Song , Naima Abrar Shami , Romaric Duvignau , Vasiliki Kalavri

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

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…

Disordered Systems and Neural Networks · Physics 2023-01-03 Stefan Boettcher

Previous studies have demonstrated the strong performance of Graph Neural Networks (GNNs) in node classification. However, most existing GNNs adopt a node-centric perspective and rely on global message passing, leading to high computational…

Machine Learning · Computer Science 2026-01-14 Qian Zeng , Xin Lin , Jingyi Gao , Yang Yu

We study the problem of sampling and reconstructing spectrally sparse graph signals where the objective is to select a subset of nodes of prespecified cardinality that ensures interpolation of the original signal with the lowest possible…

Signal Processing · Electrical Eng. & Systems 2021-11-24 Abolfazl Hashemi , Rasoul Shafipour , Haris Vikalo , Gonzalo Mateos

Training Graph Neural Networks (GNNs) on real-world graphs consisting of billions of nodes and edges is quite challenging, primarily due to the substantial memory needed to store the graph and its intermediate node and edge features, and…

Machine Learning · Computer Science 2023-08-08 Kaidi Cao , Rui Deng , Shirley Wu , Edward W Huang , Karthik Subbian , Jure Leskovec

In recent years, there has been notable interest in investigating combinatorial optimization (CO) problems by neural-based framework. An emerging strategy to tackle these challenging problems involves the adoption of graph neural networks…

Machine Learning · Computer Science 2024-06-11 Yang Liu , Chuan Zhou , Peng Zhang , Shirui Pan , Zhao Li , Hongyang Chen

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…

Machine Learning · Computer Science 2025-11-13 Yuyao Long

Graph neural networks (GNNs) have been increasingly deployed in various applications that involve learning on non-Euclidean data. However, recent studies show that GNNs are vulnerable to graph adversarial attacks. Although there are several…

Machine Learning · Computer Science 2023-01-10 Chenhui Deng , Xiuyu Li , Zhuo Feng , Zhiru Zhang

Graph neural networks (GNNs) are widely used for learning node embeddings in graphs, typically adopting a message-passing scheme. This approach, however, leads to the neighbor explosion problem, with exponentially growing computational and…

Machine Learning · Computer Science 2025-07-08 Zichao Yue , Chenhui Deng , Zhiru Zhang

With recent advancements in graph neural networks (GNNs), spectral GNNs have received increasing popularity by virtue of their ability to retrieve graph signals in the spectral domain. These models feature uniqueness in efficient…

Machine Learning · Computer Science 2025-08-21 Ningyi Liao , Haoyu Liu , Zulun Zhu , Siqiang Luo , Laks V. S. Lakshmanan

Effective node representation lies at the heart of Graph Neural Networks (GNNs), as it directly impacts their ability to perform downstream tasks such as node classification and link prediction. Most existing GNNs, particularly message…

Machine Learning · Computer Science 2025-11-26 Md Joshem Uddin , Astrit Tola , Varin Sikand , Cuneyt Gurcan Akcora , Baris Coskunuzer

Graph Neural Networks (GNNs) exploit signals from node features and the input graph topology to improve node classification task performance. However, these models tend to perform poorly on heterophilic graphs, where connected nodes have…

Machine Learning · Computer Science 2021-12-08 Vijay Lingam , Chanakya Ekbote , Manan Sharma , Rahul Ragesh , Arun Iyer , Sundararajan Sellamanickam