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Exposure mappings facilitate investigations of complex causal effects when units interact in experiments. Current methods require experimenters to use the same exposure mappings both to define the effect of interest and to impose…

Statistics Theory · Mathematics 2023-03-14 Fredrik Sävje

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

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…

Methodology · Statistics 2023-10-24 Tadao Hoshino , Takahide Yanagi

To report spillover effects, a common practice is to regress outcomes on statistics summarizing neighbors' treatments. This paper studies nonparametric analogs of these estimands, which we refer to as exposure contrasts. We demonstrate that…

Econometrics · Economics 2025-12-10 Michael P. Leung

Estimating treatment effects in networks is challenging, as each potential outcome depends on the treatments of all other nodes in the network. To overcome this difficulty, existing methods typically impose an exposure mapping that…

Machine Learning · Computer Science 2026-02-04 Maresa Schröder , Miruna Oprescu , Stefan Feuerriegel , Nathan Kallus

Causal effect estimation in networked systems is central to data-driven decision making. In such settings, interventions on one unit can spill over to others, and in complex physical or social systems, the interaction pathways driving these…

Machine Learning · Statistics 2025-11-27 Sadegh Shirani , Mohsen Bayati

Applied work under interference typically models outcomes as functions of own treatment and a low-dimensional exposure mapping of others' treatments, even when that mapping may be misspecified. We ask what policy object such exposure-based…

Econometrics · Economics 2026-03-27 Yechan Park , Xiaodong Yang

This paper considers conducting inference about the effect of a treatment (or exposure) on an outcome of interest. In the ideal setting where treatment is assigned randomly, under certain assumptions the treatment effect is identifiable…

Methodology · Statistics 2015-03-06 Amy Richardson , Michael G. Hudgens , Peter B. Gilbert , Jason P. Fine

Randomized experiments on social networks pose statistical challenges, due to the possibility of interference between units. We propose new methods for estimating attributable treatment effects in such settings. The methods do not require…

Methodology · Statistics 2015-10-13 David S. Choi

In longitudinal studies where units are embedded in space or a social network, interference may arise, meaning that a unit's outcome can depend on treatment histories of others. The presence of interference poses significant challenges for…

Methodology · Statistics 2025-08-26 Ye Wang , Michael Jetsupphasuk

Experiments on online marketplaces and social networks suffer from interference, where the outcome of a unit is impacted by the treatment status of other units. We propose a framework for modeling interference using a ubiquitous deployment…

Methodology · Statistics 2023-08-21 Ariel Boyarsky , Hongseok Namkoong , Jean Pouget-Abadie

Empirical work often uses treatment assigned following geographic boundaries. When the effects of treatment cross over borders, classical difference-in-differences estimation produces biased estimates for the average treatment effect. In…

Econometrics · Economics 2023-06-13 Kyle Butts

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

Accurate estimation of treatment effects is essential for decision-making across various scientific fields. This task, however, becomes challenging in areas like social sciences and online marketplaces, where treating one experimental unit…

Machine Learning · Computer Science 2025-02-04 Mohsen Bayati , Yuwei Luo , William Overman , Sadegh Shirani , Ruoxuan Xiong

We present current methods for estimating treatment effects and spillover effects under "interference", a term which covers a broad class of situations in which a unit's outcome depends not only on treatments received by that unit, but also…

Applications · Statistics 2020-01-16 Peter M. Aronow , Dean Eckles , Cyrus Samii , Stephanie Zonszein

In settings where interference between units is possible, we define the prevalence of indirect effects to be the number of units who are affected by the treatment of others. This quantity does not fully identify an indirect effect, but may…

Methodology · Statistics 2024-01-18 David Choi

We give an approach for characterizing interference by lower bounding the number of units whose outcome depends on selected groups of treated individuals, such as depending on the treatment of others, or others who are at least a certain…

Methodology · Statistics 2025-11-04 David Choi

We investigate large-sample properties of treatment effect estimators under unknown interference in randomized experiments. The inferential target is a generalization of the average treatment effect estimand that marginalizes over potential…

Statistics Theory · Mathematics 2019-10-25 Fredrik Sävje , Peter M. Aronow , Michael G. Hudgens

We study randomized experiments in bipartite systems where only a subset of treatment-side units are eligible for assignment while all units continue to interact, generating interference. We formalize eligibility-constrained bipartite…

Methodology · Statistics 2025-11-17 Albert Tan , Mohsen Bayati , James Nordlund , Roman Istomin

In contrast to problems of interference in (exogenous) treatments, models of interference in unit-specific (endogenous) outcomes do not usually produce a reduced-form representation where outcomes depend on other units' treatment status…

Econometrics · Economics 2025-06-17 Konrad Menzel
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