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In this work, we consider causal inference in various high-dimensional treatment settings, including for single multi-valued treatments and vector treatments with binary or continuous components, when the number of treatments can be…

Statistics Theory · Mathematics 2026-02-26 Patrick Kramer , Edward H. Kennedy , Isaac M. Opper

Understanding the effect of a particular treatment or a policy pertains to many areas of interest, ranging from political economics, marketing to healthcare. In this paper, we develop a non-parametric algorithm for detecting the effects of…

Methodology · Statistics 2022-08-24 Davide Viviano , Jelena Bradic

The empirical literature on program evaluation limits its scope almost exclusively to models where treatment effects are homogenous for observationally identical individuals. This paper considers a treatment effect model in which treatment…

Methodology · Statistics 2019-02-20 Jason Abrevaya , Haiqing Xu

This paper considers the instrumental variable quantile regression model (Chernozhukov and Hansen, 2005, 2013) with a binary endogenous treatment. It offers two identification results when the treatment status is not directly observed. The…

Methodology · Statistics 2021-02-24 Takuya Ura

The probability of benefit is a valuable and important measure of treatment effect, which has advantages over the average treatment effect. Particularly for an ordinal outcome, it has a better interpretation and can make apparent different…

Methodology · Statistics 2023-05-19 Erin E Gabriel , Michael C Sachs , Andreas Kryger Jensen

Motivated by conflicting conclusions regarding hydrocortisone's treatment effect on ICU patients with vasopressor-dependent septic shock, we developed a novel instrumental variable (IV) estimator to assess the average treatment effect (ATE)…

Methodology · Statistics 2025-03-18 Runjia Li , Victor B. Talisa , Chung-Chou H. Chang

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

Applied researchers are increasingly interested in whether and how treatment effects vary in randomized evaluations, especially variation not explained by observed covariates. We propose a model-free approach for testing for the presence of…

Methodology · Statistics 2014-12-17 Peng Ding , Avi Feller , Luke Miratrix

Instrumental variables (IVs), sources of treatment randomization that are conditionally independent of the outcome, play an important role in causal inference with unobserved confounders. However, the existing IV-based counterfactual…

Machine Learning · Computer Science 2022-01-14 Junkun Yuan , Anpeng Wu , Kun Kuang , Bo Li , Runze Wu , Fei Wu , Lanfen Lin

We consider debiased inference on finite-dimensional functionals of infinite-dimensional least-squares solutions to inverse problems as a way to avoid having to assume exact solutions exist. Such assumptions are substantive and not…

Machine Learning · Statistics 2026-05-27 Zikai Shen , Nathan Kallus , Dimitri Meunier , Houssam Zenati , Arthur Gretton , Aurélien Bibaut

While model selection is a well-studied topic in parametric and nonparametric regression or density estimation, selection of possibly high-dimensional nuisance parameters in semiparametric problems is far less developed. In this paper, we…

Methodology · Statistics 2023-09-06 Yifan Cui , Eric Tchetgen Tchetgen

We show that causal effects can be identified when there is bunching in the distribution of a continuous treatment variable, without imposing any parametric assumptions. This yields a new nonparametric method for overcoming selection bias…

Econometrics · Economics 2025-07-08 Carolina Caetano , Gregorio Caetano , Leonard Goff , Eric Nielsen

Estimating causal effects of continuous treatments is a common problem in practice, for example, in studying average dose-response functions. Classical analyses typically assume that all confounders are fully observed, whereas in real-world…

Statistics Theory · Mathematics 2026-04-14 Shuyuan Chen , Peng Zhang , Yifan Cui

Standard instrumental variables (IV) methods identify a Local Average Treatment Effect under monotonicity, which rules out defiers. In many empirical environments, however, distinct instruments may induce heterogeneous and even opposing…

Econometrics · Economics 2026-02-16 Johann Caro-Burnett

The missing data issue is ubiquitous in health studies. Variable selection in the presence of both missing covariates and outcomes is an important statistical research topic but has been less studied. Existing literature focuses on…

Methodology · Statistics 2021-07-09 Liangyuan Hu , Jung-Yi Joyce Lin , Jiayi Ji

Wang and Tchetgen Tchetgen (2017) studied identification and estimation of the average treatment effect when some confounders are unmeasured. Under their identification condition, they showed that the semiparametric efficient influence…

Econometrics · Economics 2018-07-17 Chunrong Ai , Lukang Huang , Zheng Zhang

This paper develops a general causal inference method for treatment effects models with noisily measured confounders. The key feature is that a large set of noisy measurements are linked with the underlying latent confounders through an…

Econometrics · Economics 2021-10-14 Yingjie Feng

We develop semiparametrically efficient inference for kernel measures of noise heterogeneity in additive noise models. In many applications, the regression function is estimated using flexible machine learning methods. Downstream procedures…

Machine Learning · Statistics 2026-05-28 Jakub Wornbard , Zikai Shen , Dimitri Meunier , Arthur Gretton

The instrumental variable model of Imbens and Angrist (1994) and Angrist et al. (1996) allow for the identification of the local average treatment effect, also known as the complier average causal effect. However, many empirical studies are…

Methodology · Statistics 2024-12-12 Shuozhi Zuo , Peng Ding , Fan Yang

We study inference on linear functionals in the nonparametric instrumental variable (NPIV) problem with a discretely-valued instrument under a many-weak-instruments asymptotic regime, where the number of instrument values grows with the…

Methodology · Statistics 2026-01-05 Lars van der Laan , Nathan Kallus , Aurélien Bibaut
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