Multiply-Robust Causal Change Attribution

Fuente: arXiv
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Autori principali: Quintas-Martinez, Victor, Bahadori, Mohammad Taha, Santiago, Eduardo, Mu, Jeff, Janzing, Dominik, Heckerman, David
Natura: Preprint
Pubblicazione: 2024
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author Quintas-Martinez, Victor
Bahadori, Mohammad Taha
Santiago, Eduardo
Mu, Jeff
Janzing, Dominik
Heckerman, David
author_facet Quintas-Martinez, Victor
Bahadori, Mohammad Taha
Santiago, Eduardo
Mu, Jeff
Janzing, Dominik
Heckerman, David
contents Comparing two samples of data, we observe a change in the distribution of an outcome variable. In the presence of multiple explanatory variables, how much of the change can be explained by each possible cause? We develop a new estimation strategy that, given a causal model, combines regression and re-weighting methods to quantify the contribution of each causal mechanism. Our proposed methodology is multiply robust, meaning that it still recovers the target parameter under partial misspecification. We prove that our estimator is consistent and asymptotically normal. Moreover, it can be incorporated into existing frameworks for causal attribution, such as Shapley values, which will inherit the consistency and large-sample distribution properties. Our method demonstrates excellent performance in Monte Carlo simulations, and we show its usefulness in an empirical application. Our method is implemented as part of the Python library DoWhy (arXiv:2011.04216, arXiv:2206.06821).
format Preprint
id arxiv_https___arxiv_org_abs_2404_08839
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Multiply-Robust Causal Change Attribution
Quintas-Martinez, Victor
Bahadori, Mohammad Taha
Santiago, Eduardo
Mu, Jeff
Janzing, Dominik
Heckerman, David
Methodology
Machine Learning
Econometrics
Comparing two samples of data, we observe a change in the distribution of an outcome variable. In the presence of multiple explanatory variables, how much of the change can be explained by each possible cause? We develop a new estimation strategy that, given a causal model, combines regression and re-weighting methods to quantify the contribution of each causal mechanism. Our proposed methodology is multiply robust, meaning that it still recovers the target parameter under partial misspecification. We prove that our estimator is consistent and asymptotically normal. Moreover, it can be incorporated into existing frameworks for causal attribution, such as Shapley values, which will inherit the consistency and large-sample distribution properties. Our method demonstrates excellent performance in Monte Carlo simulations, and we show its usefulness in an empirical application. Our method is implemented as part of the Python library DoWhy (arXiv:2011.04216, arXiv:2206.06821).
title Multiply-Robust Causal Change Attribution
topic Methodology
Machine Learning
Econometrics
url https://arxiv.org/abs/2404.08839