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Random graph models have played a dominant role in the theoretical study of networked systems. The Poisson random graph of Erdos and Renyi, in particular, as well as the so-called configuration model, have served as the starting point for…

统计力学 · 物理学 2014-12-03 M. E. J. Newman , Travis Martin

This paper studies the prediction of a target $\mathbf{z}$ from a pair of random variables $(\mathbf{x},\mathbf{y})$, where the ground-truth predictor is additive $\mathbb{E}[\mathbf{z} \mid \mathbf{x},\mathbf{y}] = f_\star(\mathbf{x})…

机器学习 · 计算机科学 2023-10-30 Max Simchowitz , Anurag Ajay , Pulkit Agrawal , Akshay Krishnamurthy

The analysis of network data has gained considerable interest in recent years. This also includes the analysis of large, high-dimensional networks with hundreds and thousands of nodes. While exponential random graph models serve as…

统计方法学 · 统计学 2023-09-13 Nadja Klein , Göran Kauermann

The use of network theory to model disease propagation on populations introduces important elements of reality to the classical epidemiological models. The use of random geometric graphs (RGG) is one of such network models that allows for…

物理与社会 · 物理学 2016-12-21 Ernesto Estrada , Sandro Meloni , Matthew Sheerin , Yamir Moreno

Real-world networks exhibit universal structural properties such as sparsity, small-worldness, heterogeneous degree distributions, high clustering, and community structures. Geometric network models, particularly Random Hyperbolic Graphs…

社会与信息网络 · 计算机科学 2025-06-04 Stefano Guarino , Davide Torre , Enrico Mastrostefano

We introduce the hyperedge event model (HEM)---a generative model for events that can be represented as directed edges with one sender and one or more receivers or one receiver and one or more senders. We integrate a dynamic version of the…

统计方法学 · 统计学 2018-07-24 Bomin Kim , Aaron Schein , Bruce A. Desmarais , Hanna Wallach

We consider a causal inference model in which individuals interact in a social network and they may not comply with the assigned treatments. In particular, we suppose that the form of network interference is unknown to researchers. To…

统计方法学 · 统计学 2023-10-24 Tadao Hoshino , Takahide Yanagi

Finite Mixture of Regressions (FMR) models are among the most widely used approaches in dealing with the heterogeneity among the observations in regression problems. One of the limitations of current approaches is their inability to…

应用统计 · 统计学 2018-06-25 Haidar Almohri , Arash Ali Amini , Ratna Babu Chinnam

In estimating the effects of a treatment/policy with a network, an unit is subject to two types of treatment: one is the direct treatment on the unit itself, and the other is the indirect treatment (i.e., network/spillover influence)…

统计方法学 · 统计学 2025-06-16 Myoung-jae Lee

Mixture models postulate the overall population as a mixture of finite subpopulations with unobserved membership. Fitting mixture models usually requires large sample sizes and combining data from multiple sites can be beneficial. However,…

统计方法学 · 统计学 2025-12-19 Xiaokang Liu , Rui Duan , Raymond J. Carroll , Yang Ning , Yong Chen

Biological systems are driven by intricate interactions among the complex array of molecules that comprise the cell. Many methods have been developed to reconstruct network models of those interactions. These methods often draw on large…

分子网络 · 定量生物学 2018-06-29 Marieke Lydia Kuijjer , Matthew Tung , GuoCheng Yuan , John Quackenbush , Kimberly Glass

Researchers often have to deal with heterogeneous population with mixed regression relationships, increasingly so in the era of data explosion. In such problems, when there are many candidate predictors, it is not only of interest to…

统计方法学 · 统计学 2021-02-05 Yan Li , Chun Yu , Yize Zhao , Robert H. Aseltine , Weixin Yao , Kun Chen

Many real-world graphs (networks) are heterogeneous with different types of nodes and edges. Heterogeneous graph embedding, aiming at learning the low-dimensional node representations of a heterogeneous graph, is vital for various…

社会与信息网络 · 计算机科学 2021-12-15 Wentao Xu , Yingce Xia , Weiqing Liu , Jiang Bian , Jian Yin , Tie-Yan Liu

Many real world networks exhibit edge heterogeneity with different pairs of nodes interacting with different intensities. Further, nodes with similar attributes tend to interact more with each other. Thus, in the presence of observed node…

统计方法学 · 统计学 2024-12-24 Swati Chandna , Benjamin Bagozzi , Snigdhansu Chatterjee

This paper is motivated by a Eurobarometer survey on science knowledge. As part of the survey, respondents were asked to rank sources of science information in order of importance. The official statistical analysis of these data however…

应用统计 · 统计学 2011-01-10 Brian Francis , Regina Dittrich , Reinhold Hatzinger

Sampled network data are widely used in empirical research because collecting complete network information is costly. However, empirical analyses based on sampled networks may lead to biased estimators. We propose a nonparametric imputation…

计量经济学 · 经济学 2026-05-12 Ge Sun , Weisheng Zhang

Empirical studies using Regression Discontinuity (RD) designs often explore heterogeneous treatment effects based on pretreatment covariates, even though no formal statistical methods exist for such analyses. This has led to the widespread…

计量经济学 · 经济学 2025-07-08 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell , Filippo Palomba , Rocio Titiunik

In this paper, we introduce a general model for jointly modelling the nodal heterogeneity and covariates in weighted or unweighted bipartite networks, which contains two different types of nodes. The model has a degree heterogeneity…

统计理论 · 数学 2026-04-01 Wu Zuhui , Wang Qiuping , Yan Ting

A key question in many network studies is whether the observed correlations between units are primarily due to contagion or latent confounding. Here, we study this question using a segregated graph (Shpitser, 2015) representation of these…

机器学习 · 计算机科学 2025-03-07 Yufeng Wu , Rohit Bhattacharya

Background: Pairwise and network meta-analyses using fixed effect and random effects models are commonly applied to synthesise evidence from randomised controlled trials. The models differ in their assumptions and the interpretation of the…

统计方法学 · 统计学 2017-08-04 Shijie Ren , Jeremy E. Oakley , John W. Stevens