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Demystifying interactions between temporal patterns of different scales is fundamental to precise long-range time series forecasting. However, previous works lack the ability to model high-order interactions. To promote more comprehensive…

Machine Learning · Computer Science 2024-12-24 Zongjiang Shang , Ling Chen , Binqing Wu , Dongliang Cui

Network data has become widespread, larger, and more complex over the years. Traditional network data is dyadic, capturing the relations among pairs of entities. With the need to model interactions among more than two entities, significant…

Social and Information Networks · Computer Science 2025-05-30 Hao Tian , Reza Zafarani

Hypergraphs model higher-order relations that drive real-world decisions, from drug prescriptions to recommendations. A central structural signal in such data, beyond what pairwise relations can express, is interaction compositionality:…

Machine Learning · Computer Science 2026-05-19 Kyrie Zhao , Zehong Wang , Tianyi Ma , Fang Wu , Xiangru Tang , Pietro Lio , Sheng Wang , Yanfang Ye

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…

Link prediction in graphs is a task that has been widely investigated. It has been applied in various domains such as knowledge graph completion, content/item recommendation, social network recommendations and so on. The initial focus of…

Social and Information Networks · Computer Science 2023-02-07 Nayana Bannur , Mashrin Srivastava , Harsha Vardhan

Many networked datasets with units interacting in groups of two or more, encoded with hypergraphs, are accompanied by extra information about nodes, such as the role of an individual in a workplace. Here we show how these node attributes…

Social and Information Networks · Computer Science 2024-10-31 Anna Badalyan , Nicolò Ruggeri , Caterina De Bacco

Time series analysis has gained significant attention due to its critical applications in diverse fields such as healthcare, finance, and sensor networks. The complexity and non-stationarity of time series make it challenging to capture the…

Machine Learning · Computer Science 2024-10-31 Guancen Lin , Cong Shen , Aijing Lin

Real-world networks have high-order relationships among objects and they evolve over time. To capture such dynamics, many works have been studied in a range of fields. Via an in-depth preliminary analysis, we observe two important…

Social and Information Networks · Computer Science 2025-08-26 Yunyong Ko , Da Eun Lee , Song Kyung Yu , Sang-Wook Kim

Higher-order networks, naturally described as hypergraphs, are essential for modeling real-world systems involving interactions among three or more entities. Stochastic block models offer a principled framework for characterizing mesoscale…

Social and Information Networks · Computer Science 2025-11-27 Kazuki Nakajima , Yuya Sasaki , Takeaki Uno , Masaki Aida

Many empirical systems contain complex interactions of arbitrary size, representing, for example, chemical reactions, social groups, co-authorship relationships, and ecological dependencies. These interactions are known as higher-order…

Learning from structured data is a core machine learning task. Commonly, such data is represented as graphs, which normally only consider (typed) binary relationships between pairs of nodes. This is a substantial limitation for many domains…

Machine Learning · Computer Science 2022-09-07 Dobrik Georgiev , Marc Brockschmidt , Miltiadis Allamanis

Time-varying group interactions constitute the building blocks of many complex systems. The framework of temporal hypergraphs makes it possible to represent them by taking into account the higher-order and temporal nature of the…

Physics and Society · Physics 2025-11-11 Marco Mancastroppa , Giulia Cencetti , Alain Barrat

Predicting human interaction is challenging as the on-going activity has to be inferred based on a partially observed video. Essentially, a good algorithm should effectively model the mutual influence between the two interacting subjects.…

Computer Vision and Pattern Recognition · Computer Science 2017-05-29 Yichao Yan , Bingbing Ni , Xiaokang Yang

Hypergraphs are characterized by complex topological structure, representing higher-order interactions among multiple entities through hyperedges. Lately, hypergraph-based deep learning methods to learn informative data representations for…

Machine Learning · Computer Science 2024-09-30 Adrián Bazaga , Pietro Liò , Gos Micklem

The importance of higher-order relations is widely recognized in a large number of real-world systems. However, annotating them is a tedious and sometimes impossible task. Consequently, current approaches for data modelling either ignore…

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

Graph representation learning (GRL) has emerged as an effective technique for modeling graph-structured data. When modeling heterogeneity and dynamics in real-world complex networks, GRL methods designed for complex heterogeneous temporal…

Social and Information Networks · Computer Science 2026-05-19 Huan Liu , Pengfei Jiao , Mengzhou Gao , Chaochao Chen , Di Jin

Modeling temporal multimodal data poses significant challenges in classification tasks, particularly in capturing long-range temporal dependencies and intricate cross-modal interactions. Audiovisual data, as a representative example, is…

Machine Learning · Computer Science 2025-08-05 Feng Xu , Hui Wang , Yuting Huang , Danwei Zhang , Zizhu Fan

The ongoing need for effective epidemic modeling has driven advancements in capturing the complex dynamics of infectious diseases. Traditional models, such as Susceptible-Infected-Recovered, and graph-based approaches often fail to account…

Social and Information Networks · Computer Science 2025-04-02 Songyuan Liu , Shengbo Gong , Tianning Feng , Zewen Liu , Max S. Y. Lau , Wei Jin

Higher-order interactions (HOIs) are ubiquitous in real-world complex systems and applications. Investigation of deep learning for HOIs, thus, has become a valuable agenda for the data mining and machine learning communities. As networks of…

Machine Learning · Computer Science 2024-07-26 Sunwoo Kim , Soo Yong Lee , Yue Gao , Alessia Antelmi , Mirko Polato , Kijung Shin

Many complex systems that exhibit temporal non-pairwise interactions can be represented by means of generative higher-order network models. Here, we propose a hidden variables formalism to analytically characterize a general class of…

Physics and Society · Physics 2024-02-12 Leonardo Di Gaetano , Federico Battiston , Michele Starnini