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A signed graph is a graph together with an assignment of signs to the edges. A closed walk in a signed graph is said to be positive (negative) if it has an even (odd) number of negative edges, counting repetition. Recognizing the signs of…

Combinatorics · Mathematics 2021-06-16 Reza Naserasr , Eric Sopena , Thomas Zaslavsky

In graph learning, there have been two predominant inductive biases regarding graph-inspired architectures: On the one hand, higher-order interactions and message passing work well on homophilous graphs and are leveraged by GCNs and GATs.…

Machine Learning · Computer Science 2022-11-22 Marios Papachristou , Rishab Goel , Frank Portman , Matthew Miller , Rong Jin

The weight of links in a network is often related to the similarity of the nodes. Here, we introduce a simple tunable measure for analysing the similarity of nodes across different link weights. In particular, we use the measure to analyze…

Social and Information Networks · Computer Science 2016-06-21 Anders Mollgaard , Ingo Zettler , Jesper Dammeyer , Mogens H. Jensen , Sune Lehmann , Joachim Mathiesen

Multimodal graphs, which integrate unstructured heterogeneous data with structured interconnections, offer substantial real-world utility but remain insufficiently explored in unsupervised learning. In this work, we initiate the study of…

Artificial Intelligence · Computer Science 2025-07-22 Zhaochen Guo , Zhixiang Shen , Xuanting Xie , Liangjian Wen , Zhao Kang

Despite remarkable success in diverse web-based applications, Graph Neural Networks(GNNs) inherit and further exacerbate historical discrimination and social stereotypes, which critically hinder their deployments in high-stake domains such…

Machine Learning · Computer Science 2025-01-28 Ying Song , Balaji Palanisamy

Node classification tasks on graphs are addressed via fully-trained deep message-passing models that learn a hierarchy of node representations via multiple aggregations of a node's neighbourhood. While effective on graphs that exhibit a…

Machine Learning · Computer Science 2023-07-19 Alessio Micheli , Domenico Tortorella

Heterogeneous graphs with heterophily have emerged as a powerful abstraction for modeling complex real-world systems, where nodes of different types and labels interact in diverse and often non-homophilous ways. Despite recent advances,…

Artificial Intelligence · Computer Science 2026-05-01 Yihan Zhang , Ercan E. Kuruoglu

Graph neural networks (GNNs) achieve strong performance on homophilic graphs but often struggle under heterophily, where adjacent nodes frequently belong to different classes. We propose an interpretable and adaptive framework for…

Machine Learning · Computer Science 2025-12-30 Soroush Vahidi

Graph Neural Networks (GNNs) extend basic Neural Networks (NNs) by additionally making use of graph structure based on the relational inductive bias (edge bias), rather than treating the nodes as collections of independent and identically…

Machine Learning · Computer Science 2023-11-07 Sitao Luan , Chenqing Hua , Qincheng Lu , Jiaqi Zhu , Xiao-Wen Chang , Doina Precup

Graph convolution (GConv) is a widely used technique that has been demonstrated to be extremely effective for graph learning applications, most notably node categorization. On the other hand, many GConv-based models do not quantify the…

Machine Learning · Computer Science 2022-07-27 Zhiqian Chen , Zonghan Zhang

Graph Neural Networks (GNNs) have emerged as a powerful framework for processing graph-structured data. However, conventional GNNs and their variants are inherently limited by the homophily assumption, leading to degradation in performance…

Machine Learning · Computer Science 2026-03-05 Jiaqi Lv , Qingfeng Du , Yu Zhang , Yongqi Han , Sheng Li

Homophily is a significant mechanism for link prediction in complex network, of which principle describes that people with similar profiles or experiences tend to tie with each other. In a multi-relationship network, friendship among people…

Physics and Society · Physics 2015-06-22 Lili Miao , Qian-Ming Zhang , Da-Chen Nie , Shi-Min Cai

In many important graph data processing applications the acquired information includes both node features and observations of the graph topology. Graph neural networks (GNNs) are designed to exploit both sources of evidence but they do not…

Machine Learning · Computer Science 2021-10-28 Eli Chien , Jianhao Peng , Pan Li , Olgica Milenkovic

Graph neural networks (GNNs) often struggle to learn discriminative node representations for heterophilic graphs, where connected nodes tend to have dissimilar labels and feature similarity provides weak structural cues. We propose…

Machine Learning · Computer Science 2025-12-30 Ayushman Raghuvanshi , Gonzalo Mateos , Sundeep Prabhakar Chepuri

Graph Neural Networks (GNNs) traditionally employ a message-passing mechanism that resembles diffusion over undirected graphs, which often leads to homogenization of node features and reduced discriminative power in tasks such as node…

Machine Learning · Computer Science 2025-03-04 Seong Ho Pahng , Sahand Hormoz

In recent years, Graph Neural Networks (GNNs) have achieved remarkable success in tasks such as node classification, link prediction, and graph representation learning. However, they remain susceptible to biases that can arise not only from…

Machine Learning · Computer Science 2026-04-06 Mahdi Tavassoli Kejani , Fadi Dornaika , Charlotte Laclau , Jean-Michel Loubes

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

Social and Information Networks · Computer Science 2020-02-06 Xiaoxiao Li , Joao Saude

Node role explainability in complex networks is very difficult, yet is crucial in different application domains such as social science, neurosciences or computer science. Many efforts have been made on the quantification of hubs revealing…

Neurons and Cognition · Quantitative Biology 2023-02-01 Lucrezia Carboni , Michel Dojat , Sophie Achard

In online social networks, it is common to use predictions of node categories to estimate measures of homophily and other relational properties. However, online social network data often lacks basic demographic information about the nodes.…

Social and Information Networks · Computer Science 2020-01-31 George Berry , Antonio Sirianni , Ingmar Weber , Jisun An , Michael Macy

Node classification on graphs is an important research problem with many applications. Real-world graph data sets may not be balanced and accurate as assumed by most existing works. A challenging setting is positive-unlabeled (PU) node…

Machine Learning · Computer Science 2023-10-23 Hansi Yang , Yongqi Zhang , Quanming Yao , James Kwok