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This paper deals with dynamical networks for which the relations between node signals are described by proper transfer functions and external signals can influence each of the node signals. In particular, we are interested in…

Optimization and Control · Mathematics 2018-07-24 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

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

We propose a new method for embedding graphs while preserving directed edge information. Learning such continuous-space vector representations (or embeddings) of nodes in a graph is an important first step for using network information…

Machine Learning · Computer Science 2017-09-15 Sami Abu-El-Haija , Bryan Perozzi , Rami Al-Rfou

Graph isomorphism is a problem for which there is no known polynomial-time solution. Nevertheless, assessing (dis)similarity between two or more networks is a key task in many areas, such as image recognition, biology, chemistry, computer…

Computation · Statistics 2022-06-28 Pierre Miasnikof , Alexander Y. Shestopaloff , Cristián Bravo , Yuri Lawryshyn

With the explosion of graph-structured data, link prediction has emerged as an increasingly important task. Embedding methods for link prediction utilize neural networks to generate node embeddings, which are subsequently employed to…

Machine Learning · Computer Science 2023-06-21 Jun Fu , Xiaojuan Zhang , Shuang Li , Dali Chen

Node classification is an essential problem in graph learning. However, many models typically obtain unsatisfactory performance when applied to few-shot scenarios. Some studies have attempted to combine meta-learning with graph neural…

Machine Learning · Computer Science 2024-07-23 Yonghao Liu , Mengyu Li , Ximing Li , Lan Huang , Fausto Giunchiglia , Yanchun Liang , Xiaoyue Feng , Renchu Guan

Graph few-shot learning, which aims to classify nodes from novel classes with only a few labeled examples, is a widely studied problem in graph learning. However, existing methods often face two key limitations. First, the predominant graph…

Artificial Intelligence · Computer Science 2026-05-26 Renchu Guan , Yajun Wang , Chunli Guo , Bowen Cao , Fausto Giunchiglia , Wei Pang , Yonghao Liu , Xiaoyue Feng

Graph Neural Networks (GNNs) have shown promising results in various tasks, among which link prediction is an important one. GNN models usually follow a node-centric message passing procedure that aggregates the neighborhood information to…

Machine Learning · Computer Science 2022-01-17 Baole Ai , Zhou Qin , Wenting Shen , Yong Li

Graph few-shot learning is of great importance among various graph learning tasks. Under the few-shot scenario, models are often required to conduct classification given limited labeled samples. Existing graph few-shot learning methods…

Machine Learning · Computer Science 2022-10-24 Song Wang , Chen Chen , Jundong Li

Link prediction is a paradigmatic problem in network science with a variety of applications. In latent space network models this problem boils down to ranking pairs of nodes in the order of increasing latent distances between them. The…

Physics and Society · Physics 2020-11-03 Maksim Kitsak , Ivan Voitalov , Dmitri Krioukov

Many real-world networks exhibit correlations between the node degrees. For instance, in social networks nodes tend to connect to nodes of similar degree. Conversely, in biological and technological networks, high-degree nodes tend to be…

Discrete Mathematics · Computer Science 2015-09-30 Kevin E. Bassler , Charo I. Del Genio , Péter L. Erdős , István Miklós , Zoltán Toroczkai

Link prediction is an important task that has wide applications in various domains. However, the majority of existing link prediction approaches assume the given graph follows homophily assumption, and designs similarity-based heuristics or…

Machine Learning · Computer Science 2022-08-04 Shijie Zhou , Zhimeng Guo , Charu Aggarwal , Xiang Zhang , Suhang Wang

Link prediction infers potential links from observed networks, and is one of the essential problems in network analyses. In contrast to traditional graph representation modeling which only predicts two-way pairwise relations, we propose a…

Social and Information Networks · Computer Science 2021-11-10 Yubai Yuan , Annie Qu

In this paper, we provide a theory of using graph neural networks (GNNs) for multi-node representation learning (where we are interested in learning a representation for a set of more than one node, such as link). We know that GNN is…

Machine Learning · Computer Science 2022-01-19 Muhan Zhang , Pan Li , Yinglong Xia , Kai Wang , Long Jin

Computing the probability of an edge's existence in a graph network is known as link prediction. While traditional methods calculate the similarity between two given nodes in a static network, recent research has focused on evaluating…

Social and Information Networks · Computer Science 2023-05-29 Kazi Zainab Khanam , Aditya Singhal , Vijay Mago

Few-shot node classification is tasked to provide accurate predictions for nodes from novel classes with only few representative labeled nodes. This problem has drawn tremendous attention for its projection to prevailing real-world…

Machine Learning · Computer Science 2022-12-13 Zhen Tan , Song Wang , Kaize Ding , Jundong Li , Huan Liu

Heterophily, or the tendency of connected nodes in networks to have different class labels or dissimilar features, has been identified as challenging for many Graph Neural Network (GNN) models. While the challenges of applying GNNs for node…

Machine Learning · Computer Science 2024-09-27 Jiong Zhu , Gaotang Li , Yao-An Yang , Jing Zhu , Xuehao Cui , Danai Koutra

Analyzing interconnection structures among underlying entities or objects in a dataset through the use of graph analytics has been shown to provide tremendous value in many application domains. However, graphs are not the primary…

Databases · Computer Science 2017-02-14 Konstantinos Xirogiannopoulos , Amol Deshpande

Link prediction in a graph is the problem of detecting the missing links that would be formed in the near future. Using a graph representation of the data, we can convert the problem of classification to the problem of link prediction which…

Machine Learning · Computer Science 2018-10-02 Seyed Amin Fadaee , Maryam Amir Haeri

This paper introduces a new approach to address the issue of class imbalance in graph neural networks (GNNs) for learning on graph-structured data. Our approach integrates imbalanced node classification and Bias-Variance Decomposition,…

Machine Learning · Computer Science 2025-02-26 Liang Yan , Gengchen Wei , Chen Yang , Shengzhong Zhang , Zengfeng Huang