Automatic Doubly Robust Forests

Fuente: arXiv
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Main Authors: Chen, Zhaomeng, Duan, Junting, Chernozhukov, Victor, Syrgkanis, Vasilis
Format: Preprint
Published: 2024
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author Chen, Zhaomeng
Duan, Junting
Chernozhukov, Victor
Syrgkanis, Vasilis
author_facet Chen, Zhaomeng
Duan, Junting
Chernozhukov, Victor
Syrgkanis, Vasilis
contents This paper proposes the automatic Doubly Robust Random Forest (DRRF) algorithm for estimating the conditional expectation of a moment functional in the presence of high-dimensional nuisance functions. DRRF extends the automatic debiasing framework based on the Riesz representer to the conditional setting and enables nonparametric, forest-based estimation (Athey et al., 2019; Oprescu et al., 2019). In contrast to existing methods, DRRF does not require prior knowledge of the form of the debiasing term or impose restrictive parametric or semi-parametric assumptions on the target quantity. Additionally, it is computationally efficient in making predictions at multiple query points. We establish consistency and asymptotic normality results for the DRRF estimator under general assumptions, allowing for the construction of valid confidence intervals. Through extensive simulations in heterogeneous treatment effect (HTE) estimation, we demonstrate the superior performance of DRRF over benchmark approaches in terms of estimation accuracy, robustness, and computational efficiency.
format Preprint
id arxiv_https___arxiv_org_abs_2412_07184
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Automatic Doubly Robust Forests
Chen, Zhaomeng
Duan, Junting
Chernozhukov, Victor
Syrgkanis, Vasilis
Methodology
Machine Learning
Econometrics
Statistics Theory
This paper proposes the automatic Doubly Robust Random Forest (DRRF) algorithm for estimating the conditional expectation of a moment functional in the presence of high-dimensional nuisance functions. DRRF extends the automatic debiasing framework based on the Riesz representer to the conditional setting and enables nonparametric, forest-based estimation (Athey et al., 2019; Oprescu et al., 2019). In contrast to existing methods, DRRF does not require prior knowledge of the form of the debiasing term or impose restrictive parametric or semi-parametric assumptions on the target quantity. Additionally, it is computationally efficient in making predictions at multiple query points. We establish consistency and asymptotic normality results for the DRRF estimator under general assumptions, allowing for the construction of valid confidence intervals. Through extensive simulations in heterogeneous treatment effect (HTE) estimation, we demonstrate the superior performance of DRRF over benchmark approaches in terms of estimation accuracy, robustness, and computational efficiency.
title Automatic Doubly Robust Forests
topic Methodology
Machine Learning
Econometrics
Statistics Theory
url https://arxiv.org/abs/2412.07184