Higher-Order Causal Message Passing for Experimentation with Complex Interference

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Hauptverfasser: Bayati, Mohsen, Luo, Yuwei, Overman, William, Shirani, Sadegh, Xiong, Ruoxuan
Format: Preprint
Veröffentlicht: 2024
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author Bayati, Mohsen
Luo, Yuwei
Overman, William
Shirani, Sadegh
Xiong, Ruoxuan
author_facet Bayati, Mohsen
Luo, Yuwei
Overman, William
Shirani, Sadegh
Xiong, Ruoxuan
contents 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 can influence outcomes for others through direct or indirect interactions. Such interference can lead to biased treatment effect estimates, particularly when the structure of these interactions is unknown. We address this challenge by introducing a new class of estimators based on causal message-passing, specifically designed for settings with pervasive, unknown interference. Our estimator draws on information from the sample mean and variance of unit outcomes and treatments over time, enabling efficient use of observed data to estimate the evolution of the system state. Concretely, we construct non-linear features from the moments of unit outcomes and treatments and then learn a function that maps these features to future mean and variance of unit outcomes. This allows for the estimation of the treatment effect over time. Extensive simulations across multiple domains, using synthetic and real network data, demonstrate the efficacy of our approach in estimating total treatment effect dynamics, even in cases where interference exhibits non-monotonic behavior in the probability of treatment.
format Preprint
id arxiv_https___arxiv_org_abs_2411_00945
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Higher-Order Causal Message Passing for Experimentation with Complex Interference
Bayati, Mohsen
Luo, Yuwei
Overman, William
Shirani, Sadegh
Xiong, Ruoxuan
Machine Learning
Econometrics
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 can influence outcomes for others through direct or indirect interactions. Such interference can lead to biased treatment effect estimates, particularly when the structure of these interactions is unknown. We address this challenge by introducing a new class of estimators based on causal message-passing, specifically designed for settings with pervasive, unknown interference. Our estimator draws on information from the sample mean and variance of unit outcomes and treatments over time, enabling efficient use of observed data to estimate the evolution of the system state. Concretely, we construct non-linear features from the moments of unit outcomes and treatments and then learn a function that maps these features to future mean and variance of unit outcomes. This allows for the estimation of the treatment effect over time. Extensive simulations across multiple domains, using synthetic and real network data, demonstrate the efficacy of our approach in estimating total treatment effect dynamics, even in cases where interference exhibits non-monotonic behavior in the probability of treatment.
title Higher-Order Causal Message Passing for Experimentation with Complex Interference
topic Machine Learning
Econometrics
url https://arxiv.org/abs/2411.00945