Factor Informed Double Deep Learning For Average Treatment Effect Estimation

Fuente: arXiv
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Hauptverfasser: Fan, Jianqing, Jana, Soham, Kulkarni, Sanjeev, Yin, Qishuo
Format: Preprint
Veröffentlicht: 2025
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author Fan, Jianqing
Jana, Soham
Kulkarni, Sanjeev
Yin, Qishuo
author_facet Fan, Jianqing
Jana, Soham
Kulkarni, Sanjeev
Yin, Qishuo
contents We investigate the problem of estimating the average treatment effect (ATE) under a very general setup where the covariates can be high-dimensional, highly correlated, and can have sparse nonlinear effects on the propensity and outcome models. We present the use of a Double Deep Learning strategy for estimation, which involves combining recently developed factor-augmented deep learning-based estimators, FAST-NN, for both the response functions and propensity scores to achieve our goal. By using FAST-NN, our method can select variables that contribute to propensity and outcome models in a completely nonparametric and algorithmic manner and adaptively learn low-dimensional function structures through neural networks. Our proposed novel estimator, FIDDLE (Factor Informed Double Deep Learning Estimator), estimates ATE based on the framework of augmented inverse propensity weighting AIPW with the FAST-NN-based response and propensity estimates. FIDDLE consistently estimates ATE even under model misspecification and is flexible to also allow for low-dimensional covariates. Our method achieves semiparametric efficiency under a very flexible family of propensity and outcome models. We present extensive numerical studies on synthetic and real datasets to support our theoretical guarantees and establish the advantages of our methods over other traditional choices, especially when the data dimension is large.
format Preprint
id arxiv_https___arxiv_org_abs_2508_17136
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Factor Informed Double Deep Learning For Average Treatment Effect Estimation
Fan, Jianqing
Jana, Soham
Kulkarni, Sanjeev
Yin, Qishuo
Machine Learning
Statistics Theory
Methodology
62G08, 62G20
We investigate the problem of estimating the average treatment effect (ATE) under a very general setup where the covariates can be high-dimensional, highly correlated, and can have sparse nonlinear effects on the propensity and outcome models. We present the use of a Double Deep Learning strategy for estimation, which involves combining recently developed factor-augmented deep learning-based estimators, FAST-NN, for both the response functions and propensity scores to achieve our goal. By using FAST-NN, our method can select variables that contribute to propensity and outcome models in a completely nonparametric and algorithmic manner and adaptively learn low-dimensional function structures through neural networks. Our proposed novel estimator, FIDDLE (Factor Informed Double Deep Learning Estimator), estimates ATE based on the framework of augmented inverse propensity weighting AIPW with the FAST-NN-based response and propensity estimates. FIDDLE consistently estimates ATE even under model misspecification and is flexible to also allow for low-dimensional covariates. Our method achieves semiparametric efficiency under a very flexible family of propensity and outcome models. We present extensive numerical studies on synthetic and real datasets to support our theoretical guarantees and establish the advantages of our methods over other traditional choices, especially when the data dimension is large.
title Factor Informed Double Deep Learning For Average Treatment Effect Estimation
topic Machine Learning
Statistics Theory
Methodology
62G08, 62G20
url https://arxiv.org/abs/2508.17136