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Why do many modern neural-network-based graph generative models fail to reproduce typical real-world network characteristics, such as high triangle density? In this work we study the limitations of edge independent random graph models, in…

Machine Learning · Computer Science 2021-11-02 Sudhanshu Chanpuriya , Cameron Musco , Konstantinos Sotiropoulos , Charalampos E. Tsourakakis

Neural networks for structured data like graphs have been studied extensively in recent years. To date, the bulk of research activity has focused mainly on static graphs. However, most real-world networks are dynamic since their topology…

Machine Learning · Computer Science 2020-03-03 Changmin Wu , Giannis Nikolentzos , Michalis Vazirgiannis

In recent years hypergraphs have emerged as a powerful tool to study systems with multi-body interactions which cannot be trivially reduced to pairs. While highly structured methods to generate synthetic data have proved fundamental for the…

Social and Information Networks · Computer Science 2024-10-10 Nicolò Ruggeri , Federico Battiston , Caterina De Bacco

Link prediction is an important learning task for graph-structured data. In this paper, we propose a novel topological approach to characterize interactions between two nodes. Our topological feature, based on the extended persistent…

Machine Learning · Computer Science 2021-06-15 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Chao Chen

Link prediction with knowledge graphs has been thoroughly studied in graph machine learning, leading to a rich landscape of graph neural network architectures with successful applications. Nonetheless, it remains challenging to transfer the…

Machine Learning · Computer Science 2025-06-10 Xingyue Huang , Miguel Romero Orth , Pablo Barceló , Michael M. Bronstein , İsmail İlkan Ceylan

Many complex systems involve direct interactions among more than two entities and can be represented by hypergraphs, in which hyperedges encode higher-order interactions among an arbitrary number of nodes. To analyze structures and dynamics…

Physics and Society · Physics 2023-05-23 Kazuki Nakajima , Kazuyuki Shudo , Naoki Masuda

We investigate a simple generative model for network formation. The model is designed to describe the growth of networks of kinship, trading, corporate alliances, or autocatalytic chemical reactions, where feedback is an essential element…

Disordered Systems and Neural Networks · Physics 2009-11-11 Douglas R. White , Natasa Kejzar , Constantino Tsallis , Doyne Farmer , Scott White

Recent researches on complex systems highlighted the so-called super-linear growth phenomenon. As the system size $P$ measured as population in cities or active users in online communities increases, the total activities $X$ measured as GDP…

Physics and Society · Physics 2012-12-21 Jiang Zhang

Graphs are a powerful representation tool in machine learning applications, with link prediction being a key task in graph learning. Temporal link prediction in dynamic networks is of particular interest due to its potential for solving…

Machine Learning · Computer Science 2024-01-17 Sanaz Hasanzadeh Fard , Mohammad Ghassemi

A neighborhood graph, which represents the instances as vertices and their relations as weighted edges, is the basis of many semi-supervised and relational models for node labeling and link prediction. Most methods employ a sequential…

Social and Information Networks · Computer Science 2016-07-05 Shobeir Fakhraei , Dhanya Sridhar , Jay Pujara , Lise Getoor

Modeling generative process of growing graphs has wide applications in social networks and recommendation systems, where cold start problem leads to new nodes isolated from existing graph. Despite the emerging literature in learning graph…

Machine Learning · Computer Science 2019-06-03 Da Xu , Chuanwei Ruan , Kamiya Motwani , Evren Korpeoglu , Sushant Kumar , Kannan Achan

A temporal graph can be considered as a stream of links, each of which represents an interaction between two nodes at a certain time. On temporal graphs, link prediction is a common task, which aims to answer whether the query link is true…

Artificial Intelligence · Computer Science 2024-02-13 Bingqing Liu , Xikun Huang

Most real-world graphs exhibit a hierarchical structure, which is often overlooked by existing graph generation methods. To address this limitation, we propose a novel graph generative network that captures the hierarchical nature of graphs…

Machine Learning · Computer Science 2026-01-01 Mahdi Karami

The richness of many complex systems stems from the interactions among their components. The higher-order nature of these interactions, involving many units at once, and their temporal dynamics constitute crucial properties that shape the…

Physics and Society · Physics 2024-07-29 Marco Mancastroppa , Iacopo Iacopini , Giovanni Petri , Alain Barrat

Dynamic link prediction is an important problem considered in many recent works that propose approaches for learning temporal edge patterns. To assess their efficacy, models are evaluated on continuous-time and discrete-time temporal graph…

Machine Learning · Computer Science 2026-02-06 Moritz Lampert , Christopher Blöcker , Ingo Scholtes

This paper presents a novel graph-based deep learning model for tasks involving relations between two nodes (edge-centric tasks), where the focus lies on predicting relationships and interactions between pairs of nodes rather than node…

Machine Learning · Computer Science 2025-07-08 Eugenio Borzone , Leandro Di Persia , Matias Gerard

Link prediction aims to reveal missing edges in a graph. We address this task with a Gaussian process that is transformed using simplified graph convolutions to better leverage the inductive bias of the domain. To scale the Gaussian process…

Machine Learning · Computer Science 2020-02-12 Felix L. Opolka , Pietro Liò

Predicting metro passenger flow precisely is of great importance for dynamic traffic planning. Deep learning algorithms have been widely applied due to their robust performance in modelling non-linear systems. However, traditional deep…

Machine Learning · Computer Science 2022-11-10 Yuyang Miao , Yao Xu , Danilo Mandic

In many real-world scenarios, interactions happen in a group-wise manner with multiple entities, and therefore, hypergraphs are a suitable tool to accurately represent such interactions. Hyperedges in real-world hypergraphs are not composed…

Social and Information Networks · Computer Science 2026-05-05 Jaewan Chun , Seokbum Yoon , Minyoung Choe , Geon Lee , Kijung Shin

We propose a novel model-selection method for dynamic networks. Our approach involves training a classifier on a large body of synthetic network data. The data is generated by simulating nine state-of-the-art random graph models for dynamic…

Social and Information Networks · Computer Science 2024-05-28 Lourens Touwen , Doina Bucur , Remco van der Hofstad , Alessandro Garavaglia , Nelly Litvak