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We are interested in the distribution of treatment effects for an experiment where units are randomized to a treatment but outcomes are measured for pairs of units. For example, we might measure risk sharing links between households…

Econometrics · Economics 2022-10-11 Eric Auerbach , Yong Cai

We consider a setting where individuals interact in a network, each choosing actions which optimize utility as a function of neighbors' actions. A central authority aiming to maximize social welfare at equilibrium can intervene by paying…

Social and Information Networks · Computer Science 2020-07-14 William Brown , Utkarsh Patange

In causal inference, interference refers to the phenomenon in which the actions of peers in a network can influence an individual's outcome. Peer effect refers to the difference in counterfactual outcomes of an individual for different…

Artificial Intelligence · Computer Science 2025-10-08 Shishir Adhikari , Sourav Medya , Elena Zheleva

P-values are a mainstay in statistics but are often misinterpreted. We propose a new interpretation of p-value as a meaningful plausibility, where this is to be interpreted formally within the inferential model framework. We show that, for…

Statistics Theory · Mathematics 2014-10-28 Ryan Martin , Chuanhai Liu

Fairness is crucial for neural networks which are used in applications with important societal implication. Recently, there have been multiple attempts on improving fairness of neural networks, with a focus on fairness testing (e.g.,…

Machine Learning · Computer Science 2021-07-20 Bing Sun , Jun Sun , Ting Dai , Lijun Zhang

This paper deals with the estimation of exogeneous peer effects for partially observed networks under the new inferential paradigm of design identification, which characterizes the missing data challenge arising with sampled networks with…

Econometrics · Economics 2022-08-22 Mamadou Yauck

Increasingly, there is a marked interest in estimating causal effects under network interference due to the fact that interference manifests naturally in networked experiments. However, network information generally is available only up to…

Methodology · Statistics 2022-09-02 Wenrui Li , Daniel L. Sussman , Eric D. Kolaczyk

We study random graphs with arbitrary distributions of expected degree and derive expressions for the spectra of their adjacency and modularity matrices. We give a complete prescription for calculating the spectra that is exact in the limit…

Social and Information Networks · Computer Science 2013-02-04 Raj Rao Nadakuditi , M. E. J. Newman

Interference or spillover effects arise when an individual's outcome (e.g., health) is influenced not only by their own treatment (e.g., vaccination) but also by the treatment of others, creating challenges for evaluating treatment effects.…

Econometrics · Economics 2026-01-12 Martin Huber , Jannis Kueck , Mara Mattes

In healthcare, there is much interest in estimating policies, or mappings from covariates to treatment decisions. Recently, there is also interest in constraining these estimated policies to the standard of care, which generated the…

Methodology · Statistics 2026-02-17 Samuel J. Weisenthal , Sally W. Thurston , Ashkan Ertefaie

A method of `network filtering' has been proposed recently to detect the effects of certain external perturbations on the interacting members in a network. However, with large networks, the goal of detection seems a priori difficult to…

Methodology · Statistics 2010-01-28 Shu Yang , Eric D. Kolaczyk

Complex networks grow subject to structural constraints which affect their measurable properties. Assessing the effect that such constraints impose on their observables is thus a crucial aspect to be taken into account in their analysis. To…

Physics and Society · Physics 2014-07-31 Oleguer Sagarra , Francesc Font-Clos , Conrad J. Pérez-Vicente , Albert Díaz-Guilera

We systematically investigate issues due to mis-specification that arise in estimating causal effects when (treatment) interference is informed by a network available pre-intervention, i.e., in situations where the outcome of a unit may…

Methodology · Statistics 2018-10-22 Vishesh Karwa , Edoardo M. Airoldi

We describe a new method for the random sampling of connected networks with a specified degree sequence. We consider both the case of simple graphs and that of loopless multigraphs. The constraints of fixed degrees and of connectedness are…

Physics and Society · Physics 2020-12-03 Szabolcs Horvát , Carl D. Modes

Adaptive experiments use preliminary analyses of the data to inform further course of action and are commonly used in many disciplines including medical and social sciences. Because the null hypothesis and experimental design are…

Methodology · Statistics 2026-05-26 Tobias Freidling , Qingyuan Zhao , Zijun Gao

This paper develops new methods for causal inference in observational studies on a single large network of interconnected units, addressing two key challenges: long-range dependence among units and the presence of general interference. We…

Methodology · Statistics 2025-11-24 Jizhou Liu , Dake Zhang , Eric J. Tchetgen Tchetgen

We propose a novel method for network inference from partially observed edges using a node-specific degree prior. The degree prior is derived from observed edges in the network to be inferred, and its hyper-parameters are determined by…

Machine Learning · Statistics 2016-02-09 Qingming Tang , Lifu Tu , Weiran Wang , Jinbo Xu

Many public health interventions are conducted in settings where individuals are connected to one another and the intervention assigned to randomly selected individuals may spill over to other individuals they are connected to. In these…

Methodology · Statistics 2026-01-14 Junhan Fang , Donna Spiegelman , Ashley Buchanan , Laura Forastiere

Neural networks are usually not the tool of choice for nonparametric high-dimensional problems where the number of input features is much larger than the number of observations. Though neural networks can approximate complex multivariate…

Methodology · Statistics 2019-06-25 Jean Feng , Noah Simon

A very classical problem in statistics is to test the stochastic superiority of one distribution to another. However, many existing approaches are developed for independent samples and, moreover, do not take censored data into account. We…

Methodology · Statistics 2023-06-19 Dennis Dobler , Kathrin Möllenhoff