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Estimating individual treatment effect (ITE) from observational graph data is crucial for decision-making in the fields such as commerce and medicine. This task is challenging due to interference, where individual outcomes can be influenced…

Machine Learning · Computer Science 2026-05-28 Xiaofeng Lin , Han Bao , Hisashi Kashima

Quantifying the eigenvalue spectra of large random matrices allows one to understand the factors that contribute to the stability of dynamical systems with many interacting components. This work explores the effect that the interaction…

Disordered Systems and Neural Networks · Physics 2022-12-08 Joseph W. Baron

Network interference has attracted significant attention in the field of causal inference, encapsulating various sociological behaviors where the treatment assigned to one individual within a network may affect the outcomes of others, such…

Machine Learning · Computer Science 2025-02-11 Zhiheng Zhang , Zichen Wang

Evaluating node influence is fundamental for identifying key nodes in complex networks. Existing methods typically rely on generic indicators to rank node influence across diverse networks, thereby ignoring the individualized features of…

Social and Information Networks · Computer Science 2024-05-14 Bingyu Zhu , Qingyun Sun , Jianxin Li , Daqing Li

We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible nonparametric null model. This provides for the first time an objective measure of whether or not a particular…

Statistics Theory · Mathematics 2016-03-04 Beate Franke , Patrick J. Wolfe

Randomized experiments are the gold standard for estimating treatment effects, yet network interference challenges the validity of traditional estimators by violating the stable unit treatment value assumption and introducing bias. While…

Methodology · Statistics 2024-09-02 Xin Lu , Hongzi Li , Hanzhong Liu

Verifying that a statistically significant result is scientifically meaningful is not only good scientific practice, it is a natural way to control the Type I error rate. Here we introduce a novel extension of the p-value - a…

Methodology · Statistics 2018-07-04 Jeffrey D. Blume , Lucy DAgostino McGowan , William D. Dupont , Robert A. Greevy

Interference arises when the treatment assigned to one individual affects the outcomes of other individuals. Commonly, individuals are naturally grouped into clusters, and interference occurs only among individuals within the same cluster,…

Methodology · Statistics 2026-04-15 Chao Cheng , Fan Li

Network data have appeared frequently in recent research. For example, in comparing the effects of different types of treatment, network models have been proposed to improve the quality of estimation and hypothesis testing. In this paper,…

Methodology · Statistics 2020-09-04 Zhixin Zhou , Ping Li , Feifang Hu

Complex network null models based on entropy maximization are becoming a powerful tool to characterize and analyze data from real systems. However, it is not easy to extract good and unbiased information from these models: A proper…

Physics and Society · Physics 2015-12-09 Oleguer Sagarra , Conrad J. Pérez Vicente , Albert Díaz-Guilera

This paper studies how to design two-wave experiments in the presence of spillovers for precise inference on treatment effects. We consider units connected through a single network, local dependence among individuals, and a general class of…

Econometrics · Economics 2025-11-25 Davide Viviano

In network settings, interference between units makes causal inference more challenging as outcomes may depend on the treatments received by others in the network. Typical estimands in network settings focus on treatment effects aggregated…

Methodology · Statistics 2025-07-25 Heejong Bong , Colin B. Fogarty , Elizaveta Levina , Ji Zhu

Models of percolation processes on networks currently assume locally tree-like structures at low densities, and are derived exactly only in the thermodynamic limit. Finite size effects and the presence of short loops in real systems however…

Physics and Society · Physics 2018-12-05 Giacomo Rapisardi , Guido Caldarelli , Giulio Cimini

Estimating heterogeneous treatment effects is a well-studied topic in the statistics literature. More recently, it has regained attention due to an increasing need for precision medicine as well as the increased use of state-of-art machine…

Methodology · Statistics 2022-10-05 Zhongyuan Chen , Jun Xie

A resource exchange network is considered, where exchanges among nodes are based on reciprocity. Peers receive from the network an amount of resources commensurate with their contribution. We assume the network is fully connected, and…

Social and Information Networks · Computer Science 2018-12-27 Konstantinos P. Tsoukatos

Estimating heterogeneous treatment effects in network settings is complicated by interference, meaning that the outcome of an instance can be influenced by the treatment status of others. Existing causal machine learning approaches usually…

Machine Learning · Computer Science 2025-10-27 Daan Caljon , Jente Van Belle , Wouter Verbeke

This article develops $p$-values for evaluating means of normal populations that make use of indirect or prior information. A $p$-value of this type is based on a biased test statistic that is optimal on average with respect to a…

Methodology · Statistics 2019-12-12 Peter D. Hoff

Individual treatment effect (ITE) is often regarded as the ideal target of inference in causal analyses and has been the focus of several recent studies. In this paper, we describe the intrinsic limits regarding what can be learned…

Methodology · Statistics 2025-06-10 Zhehao Zhang , Thomas S. Richardson

Under interference, the treatment of one unit may affect the outcomes of other units. Such interference patterns between units are typically represented by a network. Correctly specifying this network requires identifying which units can…

Methodology · Statistics 2025-12-23 Bar Weinstein , Daniel Nevo

The indirect effect of an exposure on an outcome through an intermediate variable can be identified by a product of two regression coefficients under certain causal and regression modeling assumptions. In this context, the null hypothesis…

Statistics Theory · Mathematics 2025-07-23 Caleb H. Miles , Antoine Chambaz