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The network interference model for causal inference places all experimental units at the vertices of an undirected exposure graph, such that treatment assigned to one unit may affect the outcome of another unit if and only if these two…

Statistics Theory · Mathematics 2022-03-18 Shuangning Li , Stefan Wager

A growing number of researchers are conducting randomized experiments to analyze causal relationships in network settings where units influence one another. A dominant methodology for analyzing these experiments is design-based, leveraging…

Methodology · Statistics 2024-07-30 Ambarish Chattopadhyay , Kosuke Imai , Jose R. Zubizarreta

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

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 consider a potential outcomes model in which interference may be present between any two units but the extent of interference diminishes with spatial distance. The causal estimand is the global average treatment effect, which compares…

Methodology · Statistics 2022-09-16 Michael P. Leung

Causal discovery aims to uncover cause-and-effect relationships encoded in causal graphs by leveraging observational, interventional data, or their combination. The majority of existing causal discovery methods are developed assuming…

Machine Learning · Computer Science 2024-06-25 Muhammad Qasim Elahi , Lai Wei , Murat Kocaoglu , Mahsa Ghasemi

We study causal effect estimation from observational data under interference. The interference pattern is captured by an observed network. We adopt the chain graph framework of Tchetgen Tchetgen et. al. (2021), which allows (i) interaction…

Statistics Theory · Mathematics 2024-07-30 Sohom Bhattacharya , Subhabrata Sen

Under network interference, the treatment given to one unit may also affect the outcomes of its neighboring units in an exposure graph. Existing large-sample theory has focused on settings where either the exposure graph is sparse, or the…

Statistics Theory · Mathematics 2026-03-27 Bryan Park , Stefan Wager

Variance reduction for causal inference in the presence of network interference is often achieved through either outcome modeling, typically analyzed under unit-randomized Bernoulli designs, or clustered experimental designs, typically…

Methodology · Statistics 2026-01-19 Matthew Eichhorn , Samir Khan , Johan Ugander , Christina Lee Yu

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

The Horvitz-Thompson (H-T) estimator is widely used for estimating network causal effects. We study its optimality properties by embedding it in the class of all linear estimators. We show that, under any form of interference, the H-T…

Statistics Theory · Mathematics 2025-11-25 Vishesh Karwa , Edoardo M. Airoldi

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…

Machine Learning · Computer Science 2025-03-07 Yufeng Wu , Rohit Bhattacharya

We study causal effect estimation under interference from network data. We work under the chain-graph formulation pioneered in Tchetgen Tchetgen et. al (2021). Our first result shows that polynomial time evaluation of treatment effects is…

Statistics Theory · Mathematics 2025-12-10 Sohom Bhattacharya , Subhabrata Sen

A/B testing is a standard approach for evaluating the effect of online experiments; the goal is to estimate the `average treatment effect' of a new feature or condition by exposing a sample of the overall population to it. A drawback with…

Social and Information Networks · Computer Science 2013-05-31 Johan Ugander , Brian Karrer , Lars Backstrom , Jon Kleinberg

We study experimentation under endogenous network interference. Interference patterns are mediated by an endogenous graph, where edges can be formed or eliminated as a result of treatment. We show that conventional estimators are biased in…

Methodology · Statistics 2026-01-21 Wenshuo Wang , Edvard Bakhitov , Dominic Coey

In this paper we introduce new, easily implementable designs for drawing causal inference from randomized experiments on networks with interference. Inspired by the idea of matching in observational studies, we introduce the notion of…

Statistics Theory · Mathematics 2017-05-25 Ravi Jagadeesan , Natesh Pillai , Alexander Volfovsky

Strip-plot designs are very useful when the treatments have a factorial structure and the factors levels are hard-to-change. We develop a randomization-based theory of causal inference from such designs in a potential outcomes framework.…

Statistics Theory · Mathematics 2018-05-18 Fatemah A. Alquallaf , S. Huda , Rahul Mukerjee

Estimating causal effects has become an integral part of most applied fields. In this work we consider the violation of the classical no-interference assumption with units connected by a network. For tractability, we consider a known…

Machine Learning · Statistics 2025-03-05 Alexandre Belloni , Fei Fang , Alexander Volfovsky

This paper presents a randomization-based framework for estimating causal effects under interference between units, motivated by challenges that arise in analyzing experiments on social networks. The framework integrates three components:…

Statistics Theory · Mathematics 2018-06-21 Peter M. Aronow , Cyrus Samii

Randomized experiments in which the treatment of a unit can affect the outcomes of other units are becoming increasingly common in healthcare, economics, and in the social and information sciences. From a causal inference perspective, the…

Methodology · Statistics 2017-02-14 Daniel L. Sussman , Edoardo M. Airoldi
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