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Recently, interest has grown in the use of proxy variables of unobserved confounding for inferring the causal effect in the presence of unmeasured confounders from observational data. One difficulty inhibiting the practical use is finding…

机器学习 · 计算机科学 2024-05-28 Feng Xie , Zhengming Chen , Shanshan Luo , Wang Miao , Ruichu Cai , Zhi Geng

Instrumental variable (IV) methods are widely used to adjust for the bias in estimating treatment effects caused by unmeasured confounders in observational studies. In this manuscript, we provide empirical and theoretical evidence that the…

统计方法学 · 统计学 2015-03-04 Ashkan Ertefaie , Dylan Small , James H. Flory , Sean Hennessy

Nonlinear causal effects are prevalent in many research scenarios involving continuous exposures, and instrumental variables (IVs) can be employed to investigate such effects, particularly in the presence of unmeasured confounders. However,…

统计方法学 · 统计学 2025-10-29 Haodong Tian , Ashish Patel , Stephen Burgess

Drawing causal inference with observational studies is the central pillar of many disciplines. One sufficient condition for identifying the causal effect is that the treatment-outcome relationship is unconfounded conditional on the observed…

统计理论 · 数学 2017-01-17 Peng Ding , Tyler VanderWeele , James Robins

One of the fundamental challenges in causal inference is to estimate the causal effect of a treatment on its outcome of interest from observational data. However, causal effect estimation often suffers from the impacts of confounding bias…

机器学习 · 计算机科学 2023-06-23 Debo Cheng , Ziqi Xu , Jiuyong Li , Lin Liu , Thuc Duy Le , Jixue Liu

Unobserved confounding is one of the main challenges when estimating causal effects. We propose a causal reduction method that, given a causal model, replaces an arbitrary number of possibly high-dimensional latent confounders with a single…

机器学习 · 统计学 2023-02-24 Maximilian Ilse , Patrick Forré , Max Welling , Joris M. Mooij

The finite sample properties of estimators are usually understood or approximated using asymptotic theories. Two main asymptotic constructions have been used to characterize the presence of many instruments. The first assumes that the…

计量经济学 · 经济学 2021-06-30 Guy Tchuente

Instrumental variables regression is a tool that is commonly used in the analysis of observational data. The instrumental variables are used to make causal inference about the effect of a certain exposure in the presence of unmeasured…

统计方法学 · 统计学 2023-09-07 Valentin Vancak , Arvid Sjölander

Unobserved confounding is a fundamental challenge for estimating causal effects. To address unobserved confounding, recent literature has turned to two different approaches -- proxy variables and the use of multiple treatments. The first…

统计方法学 · 统计学 2026-05-20 Aytijhya Saha , Stephen Bates , Devavrat Shah

Instrumental variables (IVs) are a popular and powerful tool for estimating causal effects in the presence of unobserved confounding. However, classical approaches rely on strong assumptions such as the $\textit{exclusion criterion}$, which…

Instrumental variable methods are among the most commonly used causal inference approaches to deal with unmeasured confounders in observational studies. The presence of invalid instruments is the primary concern for practical applications,…

统计方法学 · 统计学 2023-04-18 Zijian Guo

Instrumental variable methods are widely used for inferring the causal effect in the presence of unmeasured confounders. Existing instrumental variable methods for nonlinear outcome models require stringent identifiability conditions. This…

统计方法学 · 统计学 2022-07-01 Sai Li , Zijian Guo

Causal inference with observational studies often suffers from unmeasured confounding, yielding biased estimators based on the unconfoundedness assumption. Sensitivity analysis assesses how the causal conclusions change with respect to…

统计方法学 · 统计学 2024-04-01 Sizhu Lu , Peng Ding

We address the problem of causal effect estimation in the presence of hidden confounders using nonparametric instrumental variable (IV) regression. An established approach is to use estimators based on learned spectral features, that is,…

For settings with a binary treatment and a binary outcome, instrumental variables can be used to construct bounds on a causal treatment effect. With continuous outcomes, meaningful bounds are more difficult to obtain because the domain of…

统计方法学 · 统计学 2013-03-26 Tao Liu , Joseph W. Hogan

Instrumental variables (IVs) are often continuous, arising in diverse fields such as economics, epidemiology, and the social sciences. Existing approaches for continuous IVs typically impose strong parametric models or assume homogeneous…

统计方法学 · 统计学 2025-10-17 Mei Dong , Lin Liu , Dingke Tang , Geoffrey Liu , Wei Xu , Linbo Wang

We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds…

统计方法学 · 统计学 2023-02-06 Dimitris Bertsimas , Kosuke Imai , Michael Lingzhi Li

Instrumental variable (IV) methods mitigate bias from unobserved confounding in observational causal inference but rely on the availability of a valid instrument, which can often be difficult or infeasible to identify in practice. In this…

机器学习 · 统计学 2026-04-08 Frances Dean , Jenna Fields , Radhika Bhalerao , Marie Charpignon , Ahmed Alaa

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…

统计方法学 · 统计学 2026-01-22 Gregor Steiner , Jeremie Houssineau , Mark F. J. Steel

In observational studies, treatments are typically not randomized and therefore estimated treatment effects may be subject to confounding bias. The instrumental variable (IV) design plays the role of a quasi-experimental handle since the IV…

统计方法学 · 统计学 2016-08-30 Lan Liu , Wang Miao , Baoluo Sun , James Robins , Eric Tchetgen Tchetgen