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Across the sciences, the statistical analysis of networks is central to the production of knowledge on relational phenomena. Because of their ability to model the structural generation of networks, exponential random graph models are a…

数据分析、统计与概率 · 物理学 2015-05-27 Bruce A. Desmarais , Skyler J. Cranmer

Graph neural networks have demonstrated excellent applicability to a wide range of domains, including social networks, biological systems, recommendation systems, and wireless communications. Yet a principled theoretical understanding of…

机器学习 · 计算机科学 2026-04-14 Xinping Yi

Graph Neural Networks (GNN) provide a powerful framework that elegantly integrates Graph theory with Machine learning for modeling and analysis of networked data. We consider the problem of quantifying the uncertainty in predictions of GNN…

机器学习 · 计算机科学 2022-05-23 Sai Munikoti , Deepesh Agarwal , Laya Das , Balasubramaniam Natarajan

Undirected graphical models are powerful tools for uncovering complex relationships among high-dimensional variables. This paper aims to fully recover the structure of an undirected graphical model when the data naturally take matrix form,…

统计方法学 · 统计学 2025-08-08 Minsub Shin , Johan Lim , Seongoh Park

Modeling multivariate time series has long been a subject that has attracted researchers from a diverse range of fields including economics, finance, and traffic. A basic assumption behind multivariate time series forecasting is that its…

机器学习 · 计算机科学 2020-05-26 Zonghan Wu , Shirui Pan , Guodong Long , Jing Jiang , Xiaojun Chang , Chengqi Zhang

Methods for learning Bayesian network structure can discover dependency structure between observed variables, and have been shown to be useful in many applications. However, in domains that involve a large number of variables, the space of…

机器学习 · 计算机科学 2012-12-12 Eran Segal , Dana Pe'er , Aviv Regev , Daphne Koller , Nir Friedman

The network embedding problem aims to map nodes that are similar to each other to vectors in a Euclidean space that are close to each other. Like centrality analysis (ranking) and community detection, network embedding is in general…

社会与信息网络 · 计算机科学 2019-04-26 Cheng-Shang Chang , Ching-Chu Huang , Chia-Tai Chang , Duan-Shin Lee , Ping-En Lu

In most real-world systems units are interconnected and can be represented as networks consisting of nodes and edges. For instance, in social systems individuals can have social ties, family or financial relationships. In settings where…

统计方法学 · 统计学 2018-07-31 Laura Forastiere , Fabrizia Mealli , Albert Wu , Edoardo Airoldi

We introduce the network model as a formal psychometric model, conceptualizing the covariance between psychometric indicators as resulting from pairwise interactions between observable variables in a network structure. This contrasts with…

统计理论 · 数学 2026-05-06 Sacha Epskamp , Mijke Rhemtulla , Denny Borsboom

Powerful array-based single-nucleotide polymorphism--typing platforms have recently heralded a new era in which genome-wide studies are conducted with increasing frequency. A genetic polymorphism associated with population pharmacokinetics…

统计方法学 · 统计学 2018-05-15 Kengo Nagashima , Yasunori Sato , Hisashi Noma , Chikuma Hamada

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

人工智能 · 计算机科学 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

A degree-corrected distribution-free model is proposed for weighted social networks with latent structural information. The model extends the previous distribution-free models by considering variation in node degree to fit real-world…

社会与信息网络 · 计算机科学 2024-04-08 Huan Qing

The vast majority of network datasets contains errors and omissions, although this is rarely incorporated in traditional network analysis. Recently, an increasing effort has been made to fill this methodological gap by developing network…

社会与信息网络 · 计算机科学 2018-10-19 Tiago P. Peixoto

In this paper, we propose a realistic mathematical model taking into account the mutual interference among the interacting populations. This model attempts to describe the control (vaccination) function as a function of the number of…

神经与进化计算 · 计算机科学 2016-11-18 V. Sree Hari Rao , M. Naresh Kumar

We study the problem of estimating the parameters of a regression model from a set of observations, each consisting of a response and a predictor. The response is assumed to be related to the predictor via a regression model of unknown…

机器学习 · 统计学 2016-05-19 Carlos Alberto Gomez-Uribe

The Generalized Estimating Equations (GEE) approach is a widely used statistical method for analyzing longitudinal data and clustered data in clinic studies. In dentistry, due to multiple outcomes obtained from one patient, the outcomes…

统计方法学 · 统计学 2025-02-25 Hoi-Jeong Lim , Soo-Hyeon Park

We introduce a unified and computationally efficient framework for regression on network data, addressing limitations of existing models that require specialized estimation procedures or impose restrictive decay assumptions. Our Network…

统计方法学 · 统计学 2026-01-16 Yingying Ma , Chenlei Leng

Networks are ubiquitous in economic research on organizations, trade, and many other areas. However, while economic theory extensively considers networks, no general framework for their empirical modeling has yet emerged. We thus introduce…

统计方法学 · 统计学 2023-07-10 Giacomo De Nicola , Cornelius Fritz , Marius Mehrl , Göran Kauermann

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

统计方法学 · 统计学 2020-01-22 Mirko Signorelli , Ernst Wit

This paper addresses the classic problem of parameter estimation (PE) in multimachine power system models. Such models are typically described by a set of nonlinear differential-algebraic equations (DAE), where generator physics and network…

系统与控制 · 电气工程与系统科学 2026-04-20 Abdallah Alalem Albustami , Ahmad F. Taha , Sankaran Mahadevan