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While the standard network description of complex systems is based on quantifying links between pairs of system units, higher-order interactions (HOIs) involving three or more units play a major role in governing the collective network…

The network representation is becoming increasingly popular for the description of cardiovascular interactions based on the analysis of multiple simultaneously collected variables. However, the traditional methods to assess network links…

Recent advances in signal processing and information theory are boosting the development of new approaches for the data-driven modelling of complex network systems. In the fields of Network Physiology and Network Neuroscience where the…

Methodology · Statistics 2024-01-23 Laura Sparacino , Yuri Antonacci , Gorana Mijatovic , Luca Faes

Modeling higher-order interactions (HOI) has emerged as a crucial challenge in complex systems analysis, as many phenomena cannot be fully captured by pairwise relationships alone. Hypergraphs, which generalize graphs by allowing…

Applications · Statistics 2026-03-31 Catherine Matias

To ensure the correctness of network analysis methods, the network (as the input) has to be a sufficiently accurate representation of the underlying data. However, when representing sequential data from complex systems such as global…

Social and Information Networks · Computer Science 2016-05-24 Jian Xu , Thanuka L. Wickramarathne , Nitesh V. Chawla

Assessing the synergistic high-order behaviors (HOBs) that emerge from underlying structural mechanisms is crucial to characterize complex systems. This work leverages the combined use of predictability and information measures to detect…

Quantitative Methods · Quantitative Biology 2025-12-16 Chiara Barà , Yuri Antonacci , Laura Sparacino , Helder Pinto , Michal Javorka , Sebastiano Stramaglia , Luca Faes

Recent studies have shown that novel collective behaviors emerge in complex systems due to higher-order interactions. However, the way in which the structural correlations of these interactions shape such behaviors remains a significant gap…

Physics and Society · Physics 2026-03-02 Kaloyan Danovski , Sandro Meloni , Michele Starnini

Many practical systems can be described by dynamic networks, for which modern technique can measure their output signals, and accumulate extremely rich data. Nevertheless, the network structures producing these data are often deeply hidden…

Statistical Mechanics · Physics 2016-08-18 Yang Chen , Zhaoyang Zhang , Tianyu Chen , Shihong Wang , Gang Hu

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

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

Networks and graphs provide a simple but effective model to a vast set of systems which building blocks interact throughout pairwise interactions. Unfortunately, such models fail to describe all those systems which building blocks interact…

Physics and Society · Physics 2022-09-21 Mauro Faccin

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

Persistent homology has been studied to better understand the structural properties and topology features of weighted networks. It can reveal hidden layers of information about the higher-order structures formed by non-pairwise interactions…

Combinatorics · Mathematics 2025-06-25 Udit Raj , Slobodan Maletić , Sudeepto Bhattacharya

Human-Object Interaction (HOI) detection devotes to learn how humans interact with surrounding objects via inferring triplets of < human, verb, object >. However, recent HOI detection methods mostly rely on additional annotations (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Dongming Yang , Yuexian Zou

Here we developed a new conceptual, stochastic Heterogeneous Opinion-Status model (HOpS model), which is adaptive network model. The HOpS model admits to identify the main attributes of dynamics on networks and to study analytically the…

Physics and Society · Physics 2017-08-08 Liubov Tupikina

Several data-driven approaches based on information theory have been proposed for analyzing high-order interactions involving three or more components of a network system. Most of these methods are defined only in the time domain and rely…

Applications · Statistics 2025-03-18 Yuri Antonacci , Chiara Bara' , Laura Sparacino , Gorana Mijatovic , Ludovico Minati , Luca Faes

Human-Object Interaction (HOI) detection devotes to learn how humans interact with surrounding objects. Latest end-to-end HOI detectors are short of relation reasoning, which leads to inability to learn HOI-specific interactive semantics…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Dongming Yang , Yuexian Zou , Can Zhang , Meng Cao , Jie Chen

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…

Human-Object Interaction (HOI) consists of human, object and implicit interaction/verb. Different from previous methods that directly map pixels to HOI semantics, we propose a novel perspective for HOI learning in an analytical manner. In…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Yong-Lu Li , Xinpeng Liu , Xiaoqian Wu , Yizhuo Li , Cewu Lu

Understanding how species interactions shape biodiversity is a core challenge in ecology. While much focus has been on long-term stability, there is rising interest in transient dynamics-the short-lived periods when ecosystems respond to…

Populations and Evolution · Quantitative Biology 2024-09-27 Sourin Chatterjee , Sayantan Nag Chowdhury
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