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Ensemble models of graphs are one of the most important theoretical tools to study complex networks. Among them, exponential random graphs (ERGs) have proven to be very useful in the analysis of social networks. In this paper we develop a…

统计力学 · 物理学 2022-11-14 Diego Escribano , José A. Cuesta

Estimating the probabilities of linkages in a network has gained increasing interest in recent years. One popular model for network analysis is the exchangeable graph model (ExGM) characterized by a two-dimensional function known as a…

统计方法学 · 统计学 2018-09-05 Yi Su , Raymond K. W. Wong , Thomas C. M. Lee

Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

神经与进化计算 · 计算机科学 2024-01-12 Govind Gandhi

The identification of essential genes/proteins is a critical step towards a better understanding of human biology and pathology. Computational approaches helped to mitigate experimental constraints by exploring machine learning (ML) methods…

分子网络 · 定量生物学 2021-08-02 João Schapke , Anderson Tavares , Mariana Recamonde-Mendoza

We propose an autoregressive framework for modelling dynamic networks with dependent edges. It encompasses models that accommodate, for example, transitivity, degree heterogenenity, and other stylized features often observed in real network…

统计理论 · 数学 2026-03-25 Jinyuan Chang , Qin Fang , Eric D. Kolaczyk , Peter W. MacDonald , Qiwei Yao

We introduce neural Markov logic networks (NMLNs), a statistical relational learning system that borrows ideas from Markov logic. Like Markov logic networks (MLNs), NMLNs are an exponential-family model for modelling distributions over…

机器学习 · 计算机科学 2020-10-23 Giuseppe Marra , Ondřej Kuželka

Generative models for networks with communities have been studied extensively for being a fertile ground to establish information-theoretic and computational thresholds. In this paper we propose a new toy model for planted generative models…

信息论 · 计算机科学 2019-05-02 Luca Corinzia , Paolo Penna , Luca Mondada , Joachim M. Buhmann

We study the family of network models derived by requiring the expected properties of a graph ensemble to match a given set of measurements of a real-world network, while maximizing the entropy of the ensemble. Models of this type play the…

统计力学 · 物理学 2009-11-10 Juyong Park , M. E. J. Newman

The hyperbolic random graph model (HRG) has proven useful in the analysis of scale-free networks, which are ubiquitous in many fields, from social network analysis to biology. However, working with this model is algorithmically and…

社会与信息网络 · 计算机科学 2022-05-03 Dorota Celińska-Kopczyńska , Eryk Kopczyński

While network science has become an indispensable tool for studying complex systems, the conventional use of pairwise links often shows limitations in describing high-order interactions properly. Hypergraphs, where each edge can connect…

物理与社会 · 物理学 2024-12-20 Zhao Li , Jing Zhang , Jiqiang Zhang , Guozhong Zheng , Weiran Cai , Li Chen

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

物理与社会 · 物理学 2017-09-19 Jürgen Hackl , Bryan T. Adey

Modeling of intricate relational patterns has become a cornerstone of contemporary statistical research and related data science fields. Networks, represented as graphs, offer a natural framework for this analysis. This paper extends the…

机器学习 · 统计学 2026-03-13 Bernardo Marenco , Paola Bermolen , Marcelo Fiori , Federico Larroca , Gonzalo Mateos

High order networks are weighted hypergraphs col- lecting relationships between elements of tuples, not necessarily pairs. Valid metric distances between high order networks have been defined but they are difficult to compute when the…

社会与信息网络 · 计算机科学 2016-05-04 Weiyu Huang , Alejandro Ribeiro

Existing graph clustering networks heavily rely on a predefined yet fixed graph, which can lead to failures when the initial graph fails to accurately capture the data topology structure of the embedding space. In order to address this…

机器学习 · 计算机科学 2023-11-15 Zhihao Peng , Hui Liu , Yuheng Jia , Junhui Hou

Computer networks are the foundation of modern digital infrastructure, facilitating global communication and data exchange. As demand for reliable high-bandwidth connectivity grows, advanced network modeling techniques become increasingly…

Over the last two decades, network theory has shown to be a fruitful paradigm in understanding the organization and functioning of real-world complex systems. One technique helpful to this endeavor is identifying functionally influential…

物理与社会 · 物理学 2022-01-24 Francesco Picciolo , Franco Ruzzenenti , Petter Holme , Rossana Mastrandrea

The hyperbolic random graph model (HRG) has proven useful in the analysis of scale-free networks, which are ubiquitous in many fields, from social network analysis to biology. However, working with this model is algorithmically and…

计算几何 · 计算机科学 2019-01-08 Eryk Kopczyński , Dorota Celińska-Kopczyńska

We present and discuss the results of an experimental analysis in the design of Boolean networks by means of genetic algorithms. A population of networks is evolved with the aim of finding a network such that the attractor it reaches is of…

神经与进化计算 · 计算机科学 2011-02-01 Andrea Roli , Cristian Arcaroli , Marco Lazzarini , Stefano Benedettini

Modeling of dynamic networks -- networks that evolve over time -- has manifold applications in many fields. In epidemiology in particular, there is a need for data-driven modeling of human sexual relationship networks for the purpose of…

统计方法学 · 统计学 2022-03-15 Pavel N. Krivitsky

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…

机器学习 · 统计学 2017-03-16 Jose Lugo-Martinez , Predrag Radivojac