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A practical challenge for structural estimation is the requirement to accurately minimize a sample objective function which is often non-smooth, non-convex, or both. This paper proposes a simple algorithm designed to find accurate solutions…

Econometrics · Economics 2025-08-19 Jean-Jacques Forneron

We consider inference in models defined by approximate moment conditions. We show that near-optimal confidence intervals (CIs) can be formed by taking a generalized method of moments (GMM) estimator, and adding and subtracting the standard…

Econometrics · Economics 2021-01-15 Timothy B. Armstrong , Michal Kolesár

Debiased inference for high-dimensional regression models has received substantial recent attention to ensure regularized estimators have valid inference. All existing methods focus on achieving Neyman orthogonality through explicitly…

Methodology · Statistics 2025-12-16 Yi Wang , Yuhao Deng , Yu Gu , Yuanjia Wang , Donglin Zeng

For many inference problems in statistics and econometrics, the unknown parameter is identified by a set of moment conditions. A generic method of solving moment conditions is the Generalized Method of Moments (GMM). However, classical GMM…

Machine Learning · Statistics 2021-10-18 Dhruv Rohatgi , Vasilis Syrgkanis

In the classic measurement error framework, covariates are contaminated by independent additive noise. This paper considers parameter estimation in such a linear errors-in-variables model where the unknown measurement error distribution is…

Methodology · Statistics 2023-10-24 Linh H. Nghiem , Cornelis J. Potgieter

This work proposes a machine-learning framework for constructing statistical models of errors incurred by approximate solutions to parameterized systems of nonlinear equations. These approximate solutions may arise from early termination of…

Numerical Analysis · Computer Science 2019-02-18 Brian A. Freno , Kevin T. Carlberg

In various fields of data science, researchers are often interested in estimating the ratio of conditional expectation functions (CEFR). Specifically in causal inference problems, it is sometimes natural to consider ratio-based treatment…

Econometrics · Economics 2022-12-27 Kazuhiko Shinoda , Takahiro Hoshino

A variety of interesting parameters may depend on high dimensional regressions. Machine learning can be used to estimate such parameters. However estimators based on machine learners can be severely biased by regularization and/or model…

Statistics Theory · Mathematics 2024-03-18 Victor Chernozhukov , Whitney K. Newey , Victor Quintas-Martinez , Vasilis Syrgkanis

Causal and nonparametric estimands in economics and biostatistics can often be viewed as the mean of a linear functional applied to an unknown outcome regression function. Naively learning the regression function and taking a sample mean of…

Machine Learning · Statistics 2025-11-12 Christian L. Hines , Oliver J. Hines

A Bayesian method of moments/instrumental variable (BMOM/IV) approach is developed and applied in the analysis of the important mean and multiple regression models. Given a single set of data, it is shown how to obtain posterior and…

bayes-an · Physics 2008-02-03 Arnold Zellner

We investigate a simple objective for nonlinear instrumental variable (IV) regression based on a kernelized conditional moment restriction (CMR) known as a maximum moment restriction (MMR). The MMR objective is formulated by maximizing the…

Machine Learning · Computer Science 2023-02-10 Rui Zhang , Masaaki Imaizumi , Bernhard Schölkopf , Krikamol Muandet

Double (debiased) machine learning (DML) has seen widespread use in recent years for learning causal/structural parameters, in part due to its flexibility and adaptability to high-dimensional nuisance functions as well as its ability to…

Methodology · Statistics 2024-09-12 Abhinandan Dalal , Patrick Blöbaum , Shiva Kasiviswanathan , Aaditya Ramdas

In this study, we investigate estimation and inference on a low-dimensional causal parameter in the presence of high-dimensional controls in an instrumental variable quantile regression. Our proposed econometric procedure builds on the…

Econometrics · Economics 2021-02-23 Jau-er Chen , Chien-Hsun Huang , Jia-Jyun Tien

Debiased machine learning is a meta algorithm based on bias correction and sample splitting to calculate confidence intervals for functionals, i.e. scalar summaries, of machine learning algorithms. For example, an analyst may desire the…

Machine Learning · Statistics 2022-10-25 Victor Chernozhukov , Whitney K. Newey , Rahul Singh

Estimation and inference on causal parameters is typically reduced to a generalized method of moments problem, which involves auxiliary functions that correspond to solutions to a regression or classification problem. Recent line of work on…

Econometrics · Economics 2022-11-16 Qizhao Chen , Vasilis Syrgkanis , Morgane Austern

Locally Robust (LR)/Orthogonal/Debiased moments have proven useful with machine learning first steps, but their existence has not been investigated for general parameters. In this paper, we provide a necessary and sufficient condition,…

Econometrics · Economics 2023-06-21 Facundo Argañaraz , Juan Carlos Escanciano

This study introduces a debiasing method for regression estimators, including high-dimensional and nonparametric regression estimators. For example, nonparametric regression methods allow for the estimation of regression functions in a…

Machine Learning · Statistics 2024-11-27 Masahiro Kato

OC-DeepIV is a neural network model designed for estimating causal effects. It characterizes heterogeneity by adding interaction features and reduces redundancy through orthogonal constraints. The model includes two feature extractors, one…

Econometrics · Economics 2025-06-04 Shunxin Yao

A common issue in learning decision-making policies in data-rich settings is spurious correlations in the offline dataset, which can be caused by hidden confounders. Instrumental variable (IV) regression, which utilises a key unconfounded…

Machine Learning · Computer Science 2025-06-25 Daqian Shao , Ashkan Soleymani , Francesco Quinzan , Marta Kwiatkowska

In various statistical settings, the goal is to estimate a function which is restricted by the statistical model only through a conditional moment restriction. Prominent examples include the nonparametric instrumental variable framework for…

Methodology · Statistics 2025-05-28 AmirEmad Ghassami , James M. Robins , Andrea Rotnitzky