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Real-world complex networks are usually being modeled as graphs. The concept of graphs assumes that the relations within the network are binary (for instance, between pairs of nodes); however, this is not always true for many real-life…

Social and Information Networks · Computer Science 2020-05-06 Alessia Antelmi , Gennaro Cordasco , Bogumił Kamiński , Paweł Prałat , Vittorio Scarano , Carmine Spagnuolo , Przemyslaw Szufel

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

Graph databases have become essential tools for managing complex and interconnected data, which is common in areas like social networks, bioinformatics, and recommendation systems. Unlike traditional relational databases, graph databases…

Databases · Computer Science 2026-02-24 Miguel E. Coimbra , Lucie Svitáková , Domagoj Vrgoč , Alexandre P. Francisco , Luís Veiga

Individuals interact and cooperate in structured systems. Many studies represent this structure using static networks, where each link represents a permanent connection between two nodes. However, real interactions are generally not…

Physics and Society · Physics 2025-12-23 Xiaochen Wang , Lei Zhou , Alex McAvoy , Zhenglong Tian , Aming Li

Complex systems frequently exhibit multi-way, rather than pairwise, interactions. These group interactions cannot be faithfully modeled as collections of pairwise interactions using graphs and instead require hypergraphs. However, methods…

Discrete Mathematics · Computer Science 2024-11-25 Jason Niu , Ilya D. Amburg , Sinan G. Aksoy , Ahmet Erdem Sarıyüce

Comparing networks is essential for a number of downstream tasks, from clustering to anomaly detection. Despite higher-order interactions being critical for understanding the dynamics of complex systems, traditional approaches for network…

Physics and Society · Physics 2025-11-03 Helcio Felippe , Alec Kirkley , Federico Battiston

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

Relational machine learning studies methods for the statistical analysis of relational, or graph-structured, data. In this paper, we provide a review of how such statistical models can be "trained" on large knowledge graphs, and then used…

Machine Learning · Statistics 2016-11-18 Maximilian Nickel , Kevin Murphy , Volker Tresp , Evgeniy Gabrilovich

Resource allocation and scheduling are a common problem in various distributed systems. Although widely studied, the state-of-the-art solutions either do not scale or lack the expressive power to capture the most complex instances of the…

Data Structures and Algorithms · Computer Science 2025-06-03 Rajpreet Singh , Novak Boškov , Aditya Gudal , Manzoor A. Khan

Graph summarization is beneficial in a wide range of applications, such as visualization, interactive and exploratory analysis, approximate query processing, reducing the on-disk storage footprint, and graph processing in modern hardware.…

Data Structures and Algorithms · Computer Science 2022-01-03 Xiangyu Ke , Arijit Khan , Francesco Bonchi

Process event data is usually stored either in a sequential process event log or in a relational database. While the sequential, single-dimensional nature of event logs aids querying for (sub)sequences of events based on temporal relations…

Databases · Computer Science 2021-04-06 Stefan Esser , Dirk Fahland

Relational databases, organized into tables connected by primary-foreign key relationships, are a common format for organizing data. Making predictions on relational data often involves transforming them into a flat tabular format through…

Databases · Computer Science 2025-04-08 Veronica Lachi , Antonio Longa , Beatrice Bevilacqua , Bruno Lepri , Andrea Passerini , Bruno Ribeiro

The irreducible complexity of natural phenomena has led Graph Neural Networks to be employed as a standard model to perform representation learning tasks on graph-structured data. While their capacity to capture local and global patterns is…

Machine Learning · Computer Science 2024-02-13 Lorenzo Giusti

This work seeks to tackle the inherent complexity of dataspaces by introducing a novel data structure that can represent datasets across multiple levels of abstraction, ranging from local to global. We propose the concept of a multilevel…

Data Structures and Algorithms · Computer Science 2025-04-01 Marco Caputo , Michele Russo , Emanuela Merelli

In this work we study the topological properties of temporal hypergraphs. Hypergraphs provide a higher dimensional generalization of a graph that is capable of capturing multi-way connections. As such, they have become an integral part of…

Computational Geometry · Computer Science 2023-02-07 Audun Myers , Cliff Joslyn , Bill Kay , Emilie Purvine , Gregory Roek , Madelyn Shapiro

Deep learning has achieved impressive performance in many domains, such as computer vision and natural language processing, but its advantage over classical shallow methods on tabular datasets remains questionable. It is especially…

Machine Learning · Computer Science 2023-08-25 Witold Wydmański , Oleksii Bulenok , Marek Śmieja

Network representation learning and node classification in graphs got significant attention due to the invent of different types graph neural networks. Graph convolution network (GCN) is a popular semi-supervised technique which aggregates…

Social and Information Networks · Computer Science 2020-02-11 Sambaran Bandyopadhyay , Kishalay Das , M. Narasimha Murty

A data model specifies how real-world entities and their relationships are represented and operated. In the NoSQL world data modeling usually begins from identifying application queries and designing the data model to efficiently answer…

Databases · Computer Science 2024-10-15 Veronica Santos

Network representation learning has aroused widespread interests in recent years. While most of the existing methods deal with edges as pairwise relationships, only a few studies have been proposed for hyper-networks to capture more…

Social and Information Networks · Computer Science 2019-10-23 Jie Huang , Xin Liu , Yangqiu Song

Representation learning of knowledge graphs aims to embed entities and relations into low-dimensional vectors. Most existing works only consider the direct relations or paths between an entity pair. It is considered that such approaches…

Computation and Language · Computer Science 2022-10-24 Sirui Li , Kok Wai Wong , Dengya Zhu , Chun Che Fung
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