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Estimating causal effects from high-dimensional, structured exposures is a fundamental challenge in modern applications ranging from neuroscience and finance to environmental science. While the literature has addressed high-dimensional…

Methodology · Statistics 2026-04-29 Samhita Pal , Dhrubajyoti Ghosh

Recent advances in the literature have demonstrated that standard supervised learning algorithms are ill-suited for problems with endogenous explanatory variables. To correct for the endogeneity bias, many variants of nonparameteric…

Econometrics · Economics 2021-01-18 Edvard Bakhitov , Amandeep Singh

Mendelian randomization (MR) has been a popular method in genetic epidemiology to estimate the effect of an exposure on an outcome using genetic variants as instrumental variables (IV), with two-sample summary-data MR being the most…

Methodology · Statistics 2021-06-08 Sheng Wang , Hyunseung Kang

We derive mean-unbiased estimators for the structural parameter in instrumental variables models with a single endogenous regressor where the sign of one or more first stage coefficients is known. In the case with a single instrument, there…

Applications · Statistics 2016-12-05 Isaiah Andrews , Timothy B. Armstrong

This paper provides a general identification approach for a wide range of nonlinear panel data models, including binary choice, ordered response, and other types of limited dependent variable models. Our approach accommodates dynamic models…

Econometrics · Economics 2026-01-09 Wayne Yuan Gao , Rui Wang

To estimate the causal effect of an endogenous treatment using clustered data, the canonical two-stage least squares (2sls) estimates a linear regression of the outcome on treatment status using an instrumental variable (IV) and conducts…

Methodology · Statistics 2026-04-03 Anqi Zhao , Peng Ding , Fan Li

In genetical genomics studies, it is important to jointly analyze gene expression data and genetic variants in exploring their associations with complex traits, where the dimensionality of gene expressions and genetic variants can both be…

Methodology · Statistics 2014-04-15 Wei Lin , Rui Feng , Hongzhe Li

Economists often estimate continuous treatment effects in panel data using linear two-way fixed effects models (TWFE). When the treatment-outcome relationship is nonlinear, TWFE is misspecifed and potentially biased for the average partial…

Econometrics · Economics 2025-10-14 Sylvia Klosin , Max Vilgalys

Recent years have witnessed an upsurge of interest in employing flexible machine learning models for instrumental variable (IV) regression, but the development of uncertainty quantification methodology is still lacking. In this work we…

Machine Learning · Statistics 2021-11-04 Ziyu Wang , Yuhao Zhou , Tongzheng Ren , Jun Zhu

We consider the challenging problem of estimating causal effects from purely observational data in the bi-directional Mendelian randomization (MR), where some invalid instruments, as well as unmeasured confounding, usually exist. To address…

Methodology · Statistics 2024-07-15 Feng Xie , Zhen Yao , Lin Xie , Yan Zeng , Zhi Geng

We propose a weak-identification-robust test for linear instrumental variable (IV) regressions with high-dimensional instruments, whose number is allowed to exceed the sample size. In addition, our test is robust to general error…

Econometrics · Economics 2025-07-01 Qu Feng , Sombut Jaidee , Wenjie Wang

We propose a new estimator for average causal effects of a binary treatment with panel data in settings with general treatment patterns. Our approach augments the popular two-way-fixed-effects specification with unit-specific weights that…

Econometrics · Economics 2024-03-06 Dmitry Arkhangelsky , Guido W. Imbens , Lihua Lei , Xiaoman Luo

We propose a novel estimation procedure for models with endogenous variables in the presence of spatial correlation based on Eigenvector Spatial Filtering. The procedure, called Moran's $I$ 2-Stage Lasso (Mi-2SL), uses a two-stage Lasso…

Econometrics · Economics 2024-04-04 Sylvain Barde , Rowan Cherodian , Guy Tchuente

In this paper, I show that classic two-stage least squares (2SLS) estimates are highly unstable with weak instruments. I propose a ridge estimator (ridge IV) and show that it is asymptotically normal even with weak instruments, whereas 2SLS…

Econometrics · Economics 2019-04-19 Karthik Rajkumar

In response to the increasing complexity of policy environments and the proliferation of high-dimensional data, this paper introduces the S-DIDML estimator a framework grounded in structure and semiparametrically flexible for causal…

Methodology · Statistics 2025-07-15 Yile Yu , Anzhi Xu

We propose a doubly robust inference method for causal effects of continuous treatment variables, under unconfoundedness and with nonparametric or high-dimensional nuisance functions. Our double debiased machine learning (DML) estimators…

Econometrics · Economics 2023-10-02 Kyle Colangelo , Ying-Ying Lee

Instrumental variable (IV) analysis is widely used in fields such as economics and epidemiology to address unobserved confounding and measurement error when estimating the causal effects of intermediate covariates on outcomes. However,…

Methodology · Statistics 2025-09-16 Zian Zhuang , Hua Zhou , Jin Zhou , Gang Li

Instrumental variable regression is a common approach for causal inference in the presence of unobserved confounding. However, identifying valid instruments is often difficult in practice. In this paper, we propose a novel method based on…

Methodology · Statistics 2026-01-22 Gregor Steiner , Jeremie Houssineau , Mark F. J. Steel

The method of multivariable Mendelian randomization uses genetic variants to instrument multiple exposures, to estimate the effect that a given exposure has on an outcome conditional on all other exposures included in a linear model.…

Methodology · Statistics 2024-08-20 Ashish Patel , James Lane , Stephen Burgess

Accurately quantifying geo-level marketing lift in two-sided marketplaces is challenging: the Synthetic Control Method (SCM) often exhibits high power yet systematically under-estimates effect size, while panel-style Double Machine Learning…

Machine Learning · Computer Science 2025-08-29 Sang Su Lee , Vineeth Loganathan , Vijay Raghavan
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