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We propose a generative model of temporally-evolving hypergraphs in which hyperedges form via noisy copying of previous hyperedges. Our proposed model reproduces several stylized facts from many empirical hypergraphs, is learnable from…

Social and Information Networks · Computer Science 2025-08-20 Xie He , Philip S. Chodrow , Peter J. Mucha

Graph Networks (GNs) enable the fusion of prior knowledge and relational reasoning with flexible function approximations. In this work, a general GN-based model is proposed which takes full advantage of the relational modeling capabilities…

Computational Engineering, Finance, and Science · Computer Science 2021-07-01 Charilaos Mylonas , Imad Abdallah , Eleni Chatzi

We propose a method for obtaining parsimonious decompositions of networks into higher order interactions which can take the form of arbitrary motifs.The method is based on a class of analytically solvable generative models, where vertices…

Social and Information Networks · Computer Science 2024-04-03 Anatol E. Wegner , Sofia C. Olhede

This study introduces a novel approach to sentence-level relation extraction (RE) that integrates Graph Neural Networks (GNNs) with Large Language Models (LLMs) to generate contextually enriched support documents. By harnessing the power of…

Computation and Language · Computer Science 2024-11-01 Vicky Dong , Hao Yu , Yao Chen

Recent empirical evidence has shown that in many real-world systems, successfully represented as networks, interactions are not limited to dyads, but often involve three or more agents at a time. These data are better described by…

Physics and Society · Physics 2021-04-01 Federico Musciotto , Federico Battiston , Rosario N. Mantegna

Graphical network inference is used in many fields such as genomics or ecology to infer the conditional independence structure between variables, from measurements of gene expression or species abundances for instance. In many practical…

Methodology · Statistics 2018-03-22 Geneviève Robin , Christophe Ambroise , Stéphane Robin

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

To understand how the interconnected and interdependent world of the twenty-first century operates and make model-based predictions, joint probability models for networks and interdependent outcomes are needed. We propose a comprehensive…

Methodology · Statistics 2025-07-03 Cornelius Fritz , Michael Schweinberger , Subhankar Bhadra , David R. Hunter

Probabilistic graphical models provide a powerful tool to describe complex statistical structure, with many real-world applications in science and engineering from controlling robotic arms to understanding neuronal computations. A major…

Artificial Intelligence · Computer Science 2023-05-04 Yicheng Fei , Xaq Pitkow

Hypergraph structure learning, which aims to learn the hypergraph structures from the observed signals to capture the intrinsic high-order relationships among the entities, becomes crucial when a hypergraph topology is not readily available…

Machine Learning · Computer Science 2025-03-12 Bohan Tang , Siheng Chen , Xiaowen Dong

Inferring temporal interaction graphs and higher-order structure from neural signals is a key problem in building generative models for systems neuroscience. Foundation models for large-scale neural data represent shared latent structures…

Machine Learning · Computer Science 2025-08-26 Nathan X. Kodama , Kenneth A. Loparo

Artificial intelligence (AI) has undergone a renaissance recently, making major progress in key domains such as vision, language, control, and decision-making. This has been due, in part, to cheap data and cheap compute resources, which…

Relational inference leverages relationships between entities and links in a network to infer information about the network from a small sample. This method is often used when global information about the network is not available or…

Social and Information Networks · Computer Science 2018-03-08 Lisette Espín-Noboa , Claudia Wagner , Fariba Karimi , Kristina Lerman

Graphs serve as fundamental descriptors for systems composed of interacting elements, capturing a wide array of data types, from molecular interactions to social networks and knowledge graphs. In this paper, we present an exhaustive review…

Machine Learning · Computer Science 2024-11-13 Chenqing Hua

Traditional classification tasks learn to assign samples to given classes based solely on sample features. This paradigm is evolving to include other sources of information, such as known relations between samples. Here we show that, even…

Machine Learning · Computer Science 2021-04-15 Yifan Qian , Paul Expert , Pietro Panzarasa , Mauricio Barahona

A graph is a fundamental data model to represent various entities and their complex relationships in society and nature, such as social networks, transportation networks, and financial networks. Recently, large language models (LLMs) have…

Computation and Language · Computer Science 2025-07-08 Wenbo Shang , Xin Huang

Graph representation learning has made major strides over the past decade. However, in many relational domains, the input data are not suited for simple graph representations as the relationships between entities go beyond pairwise…

Machine Learning · Computer Science 2021-01-20 Balasubramaniam Srinivasan , Da Zheng , George Karypis

We address the problem of identifying a graph structure from the observation of signals defined on its nodes. Fundamentally, the unknown graph encodes direct relationships between signal elements, which we aim to recover from observable…

Social and Information Networks · Computer Science 2016-08-11 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

Graphs have been utilized as a powerful tool to model pairwise relationships between people or objects. Such structure is a special type of a broader concept referred to as hypergraph, in which each hyperedge may consist of an arbitrary…

Social and Information Networks · Computer Science 2020-06-15 Manh Tuan Do , Se-eun Yoon , Bryan Hooi , Kijung Shin

The probabilistic graphs framework models the uncertainty inherent in real-world domains by means of probabilistic edges whose value quantifies the likelihood of the edge existence or the strength of the link it represents. The goal of this…

Artificial Intelligence · Computer Science 2012-05-25 Claudio Taranto , Nicola Di Mauro , Floriana Esposito