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Network theory has proven to be a powerful tool in describing and analyzing systems by modelling the relations between their constituent objects. In recent years great progress has been made by augmenting `traditional' network theory.…

Data Analysis, Statistics and Probability · Physics 2016-06-03 Dominik Traxl , Niklas Boers , Jürgen Kurths

Artificial intelligence has made great strides in the last decade but still falls short of the human brain, the best-known example of intelligence. Not much is known of the neural processes that allow the brain to make the leap to achieve…

Artificial Intelligence · Computer Science 2021-08-13 Ananta Nair

Finding inherent or processed links within a dataset allows to discover potential knowledge. The main contribution of this article is to define a global framework that enables optimal knowledge discovery by visually rendering co-occurences…

Social and Information Networks · Computer Science 2018-09-05 Xavier Ouvrard , Jean-Marie Le Goff , Stephane Marchand-Maillet

There is an influx of heterogeneous information network (HIN) based recommender systems in recent years since HIN is capable of characterizing complex graphs and contains rich semantics. Although the existing approaches have achieved…

Information Retrieval · Computer Science 2020-07-02 Jiarui Jin , Jiarui Qin , Yuchen Fang , Kounianhua Du , Weinan Zhang , Yong Yu , Zheng Zhang , Alexander J. Smola

The ability to model relational information using machine learning has driven advancements across various domains, from medicine to social science. While graph representation learning has become mainstream over the past decade, representing…

Machine Learning · Computer Science 2025-06-12 Iulia Duta , Pietro Liò

Graphs are by nature unifying abstractions that can leverage interconnectedness to represent, explore, predict, and explain real- and digital-world phenomena. Although real users and consumers of graph instances and graph workloads…

Road network is a critical infrastructure powering many applications including transportation, mobility and logistics in real life. To leverage the input of a road network across these different applications, it is necessary to learn the…

Machine Learning · Computer Science 2023-04-18 Liang Zhang , Cheng Long

Hypergraphs are powerful mathematical structures that can model complex, high-order relationships in various domains, including social networks, bioinformatics, and recommender systems. However, generating realistic and diverse hypergraphs…

Machine Learning · Computer Science 2026-03-11 Dorian Gailhard , Enzo Tartaglione , Lirida Naviner , Jhony H. Giraldo

The representation of complex systems as networks is inappropriate for the study of certain problems. We show several examples of social, biological, ecological and technological systems where the use of complex networks gives very limited…

Physics and Society · Physics 2013-04-02 Ernesto Estrada , Juan A. Rodriguez-Velazquez

Several biological and social contagion phenomena, such as superspreading events or social reinforcement, are the results of multi-body interactions, for which hypergraphs offer a natural mathematical description. In this paper, we develop…

Hypergraphs are generalizations of simple graphs that allow for the representation of complex group interactions beyond pairwise relationships. Clustering coefficients quantify local link density in networks and have been widely studied for…

Discrete Mathematics · Computer Science 2025-07-08 Rikuya Miyashita , Shiori Hironaka , Kazuyuki Shudo

Many real-world phenomena are naturally modeled by graphs and networks. However, classical graph models are often limited to pairwise interactions and may not adequately capture the richer structures that arise in practice. Higher-order…

Social and Information Networks · Computer Science 2026-05-18 Takaaki Fujita , Florentin Smarandache

Complex networks have become the main paradigm for modelling the dynamics of interacting systems. However, networks are intrinsically limited to describing pairwise interactions, whereas real-world systems are often characterized by…

Many problems such as node classification and link prediction in network data can be solved using graph embeddings. However, it is difficult to use graphs to capture non-binary relations such as communities of nodes. These kinds of complex…

Social and Information Networks · Computer Science 2022-01-27 Sepideh Maleki , Donya Saless , Dennis P. Wall , Keshav Pingali

Visual recognition relies on understanding the semantics of image tokens and their complex interactions. Mainstream self-attention methods, while effective at modeling global pair-wise relations, fail to capture high-order associations…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Mengqi Lei , Yihong Wu , Siqi Li , Xinhu Zheng , Juan Wang , Shaoyi Du , Yue Gao

Human beings are fundamentally sociable -- that we generally organize our social lives in terms of relations with other people. Understanding social relations from an image has great potential for intelligent systems such as social chatbots…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Wanhua Li , Yueqi Duan , Jiwen Lu , Jianjiang Feng , Jie Zhou

Most efforts in interpretability in deep learning have focused on (1) extracting explanations of a specific downstream task in relation to the input features and (2) imposing constraints on the model, often at the expense of predictive…

Machine Learning · Computer Science 2022-02-22 Marco Bertolini , Djork-Arné Clevert , Floriane Montanari

Hypergraphs (i.e., sets of hyperedges) naturally represent group relations (e.g., researchers co-authoring a paper and ingredients used together in a recipe), each of which corresponds to a hyperedge (i.e., a subset of nodes). Predicting…

Machine Learning · Computer Science 2022-04-19 Hyunjin Hwang , Seungwoo Lee , Chanyoung Park , Kijung Shin

Abstraction is the process of extracting the essential features from raw data while ignoring irrelevant details. It is well known that abstraction emerges with depth in neural networks, where deep layers capture abstract characteristics of…

Machine Learning · Computer Science 2026-03-04 Carlo Orientale Caputo , Elias Seiffert , Enrico Frausin , Matteo Marsili

Most of the current hypergraph learning methodologies and benchmarking datasets in the hypergraph realm are obtained by lifting procedures from their graph analogs, leading to overshadowing specific characteristics of hypergraphs. This…

Artificial Intelligence · Computer Science 2025-03-19 Lev Telyatnikov , Maria Sofia Bucarelli , Guillermo Bernardez , Olga Zaghen , Simone Scardapane , Pietro Lio