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Empirical complex systems can be characterized not only by pairwise interactions, but also by higher-order (group) interactions influencing collective phenomena, from metabolic reactions to epidemics. Nevertheless, higher-order networks'…

Physics and Society · Physics 2026-01-01 Maxime Lucas , Luca Gallo , Arsham Ghavasieh , Federico Battiston , Manlio De Domenico

Biological and cellular systems are often modeled as graphs in which vertices represent objects of interest (genes, proteins, drugs) and edges represent relational ties among these objects (binds-to, interacts-with, regulates). This…

Machine Learning · Statistics 2017-03-16 Jose Lugo-Martinez , Predrag Radivojac

Detecting strong ties among users in social and information networks is a fundamental operation that can improve performance on a multitude of personalization and ranking tasks. Strong-tie edges are often readily obtained from the social…

Social and Information Networks · Computer Science 2017-03-28 Rahmtin Rotabi , Krishna Kamath , Jon Kleinberg , Aneesh Sharma

Heterogeneous information network has been widely used to alleviate sparsity and cold start problems in recommender systems since it can model rich context information in user-item interactions. Graph neural network is able to encode this…

Information Retrieval · Computer Science 2021-06-22 Yifan Wang , Suyao Tang , Yuntong Lei , Weiping Song , Sheng Wang , Ming Zhang

Given a graph where vertices represent alternatives and arcs represent pairwise comparison data, the statistical ranking problem is to find a potential function, defined on the vertices, such that the gradient of the potential function…

Machine Learning · Statistics 2014-06-05 Braxton Osting , Christoph Brune , Stanley J. Osher

Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order…

Social and Information Networks · Computer Science 2018-02-21 Austin R. Benson

The recent rise of social media has led to the spread of large amounts of fake and biased news, content published with the intent to sway beliefs. While detecting and profiling the sources that spread this news is important to maintain a…

Computation and Language · Computer Science 2024-04-30 Nikhil Mehta , Dan Goldwasser

While relations among individuals make an important part of data with scientific and business interests, existing statistical modeling of relational data has mainly been focusing on dyadic relations, i.e., those between two individuals.…

Methodology · Statistics 2025-01-09 Xianshi Yu , Ji Zhu

A large number of complex systems find a natural abstraction in the form of weighted networks whose nodes represent the elements of the system and the weighted edges identify the presence of an interaction and its relative strength. In…

Physics and Society · Physics 2009-04-23 M. Angeles Serrano , Marian Boguna , Alessandro Vespignani

Molecular interactions have widely been modelled as networks. The local wiring patterns around molecules in molecular networks are linked with their biological functions. However, networks model only pairwise interactions between molecules…

Molecular Networks · Quantitative Biology 2018-09-21 Thomas Gaudelet , Noel Malod-Dognin , Natasa Przulj

Identifying patterns of relations among the units of a complex system from measurements of their activities in time is a fundamental problem with many practical applications. Here, we introduce a method that detects dependencies of any…

Physics and Society · Physics 2026-03-09 Andrea Civilini , Fabrizio de Vico Fallani , Vito Latora

Graphs are commonly used to characterise interactions between objects of interest. Because they are based on a straightforward formalism, they are used in many scientific fields from computer science to historical sciences. In this paper,…

Machine Learning · Statistics 2015-06-24 Pierre Latouche , Fabrice Rossi

An important task for Homeland Security is the prediction of threat vulnerabilities, such as through the detection of relationships between seemingly disjoint entities. A structure used for this task is a "semantic graph", also known as a…

Artificial Intelligence · Computer Science 2007-05-23 Marc Barthelemy , Edmond Chow , Tina Eliassi-Rad

A directed hypergraph, which consists of nodes and hyperarcs, is a higher-order data structure that naturally models directional group interactions (e.g., chemical reactions of molecules). Although there have been extensive studies on local…

Data Structures and Algorithms · Computer Science 2023-11-27 Heechan Moon , Hyunju Kim , Sunwoo Kim , Kijung Shin

What kind of macroscopic structural and dynamical patterns can we observe in real-world hypergraphs? What can be underlying local dynamics on individuals, which ultimately lead to the observed patterns, beyond apparently random evolution?…

Social and Information Networks · Computer Science 2020-09-22 Yunbum Kook , Jihoon Ko , Kijung Shin

We consider data with multiple observations or reports on a network in the case when these networks themselves are connected through some form of network ties. We could take the example of a cognitive social structure where there is another…

Social and Information Networks · Computer Science 2021-11-16 Johan Koskinen , Pete Jones , Darkhan Medeuov , Artem Antonyuk , Kseniia Puzyreva , Nikita Basov

Rapid discovery of new reactions and molecules in recent years has been facilitated by the advancements in high throughput screening, accessibility to a much more complex chemical design space, and the development of accurate molecular…

Molecular Networks · Quantitative Biology 2023-03-28 Vipul Mann , Venkat Venkatasubramanian

Hypergraphs, which use hyperedges to capture groupwise interactions among different entities, have gained increasing attention recently for their versatility in effectively modeling real-world networks. In this paper, we study the problem…

Data Structures and Algorithms · Computer Science 2025-04-04 Haozhe Yin , Kai Wang , Wenjie Zhang , Ying Zhang , Ruijia Wu , Xuemin Lin

Objective: Modelling the associations from high-throughput experimental molecular data has provided unprecedented insights into biological pathways and signalling mechanisms. Graphical models and networks have especially proven to be useful…

Machine Learning · Statistics 2013-04-24 Marco Scutari , Radhakrishnan Nagarajan

Recent work has shown great promise in explaining neural network behavior. In particular, feature attribution methods explain which features were most important to a model's prediction on a given input. However, for many tasks, simply…

Machine Learning · Computer Science 2020-07-01 Joseph D. Janizek , Pascal Sturmfels , Su-In Lee
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