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In real-world studies, the collected confounders may suffer from measurement error. Although mismeasurement of confounders is typically unintentional -- originating from sources such as human oversight or imprecise machinery -- deliberate…

Methodology · Statistics 2024-09-20 Jeffrey Zhang , Junu Lee

This paper introduces an innovative Bayesian machine learning algorithm to draw interpretable inference on heterogeneous causal effects in the presence of imperfect compliance (e.g., under an irregular assignment mechanism). We show,…

Methodology · Statistics 2021-12-02 Falco J. Bargagli-Stoffi , Kristof De-Witte , Giorgio Gnecco

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…

We study the identification and estimation of long-term treatment effects when both experimental and observational data are available. Since the long-term outcome is observed only after a long delay, it is not measured in the experimental…

Methodology · Statistics 2024-09-04 Guido Imbens , Nathan Kallus , Xiaojie Mao , Yuhao Wang

We consider large-scale studies in which thousands of significance tests are performed simultaneously. In some of these studies, the multiple testing procedure can be severely biased by latent confounding factors such as batch effects and…

Methodology · Statistics 2016-06-21 Jingshu Wang , Qingyuan Zhao , Trevor Hastie , Art B. Owen

Studies in environmental and epidemiological sciences are often spatially varying and observational in nature with the aim of establishing cause and effect relationships. One of the major challenges with such studies is the presence of…

Methodology · Statistics 2023-05-16 Sayli Pokal , Yawen Guan , Honglang Wang , Yuzhen Zhou

Instrumental variables (IVs) provide a powerful strategy for identifying causal effects in the presence of unobservable confounders. Within the nonparametric setting (NPIV), recent methods have been based on nonlinear generalizations of…

Machine Learning · Statistics 2024-12-24 Yuri Fonseca , Caio Peixoto , Yuri Saporito

Results in epidemiology and social science often require the removal of confounding effects from measurements of the pairwise correlation of variables in survey data. This is typically accomplished by some variant of linear regression…

Methodology · Statistics 2025-12-02 William H. Press

Unmeasured confounding and selection bias are often of concern in observational studies and may invalidate a causal analysis if not appropriately accounted for. Under outcome-dependent sampling, a latent factor that has causal effects on…

Methodology · Statistics 2022-08-03 Kendrick Qijun Li , Xu Shi , Wang Miao , Eric Tchetgen Tchetgen

This paper develops an empirical balancing approach for the estimation of treatment effects under two-sided noncompliance using a binary conditionally independent instrumental variable. The method weighs both treatment and outcome…

Econometrics · Economics 2020-07-10 Phillip Heiler

On a variety of complex decision-making tasks, from doctors prescribing treatment to judges setting bail, machine learning algorithms have been shown to outperform expert human judgments. One complication, however, is that it is often…

Methodology · Statistics 2018-05-07 Jongbin Jung , Ravi Shroff , Avi Feller , Sharad Goel

Instrumental variable (IV) methods are used to estimate causal effects in settings with unobserved confounding, where we cannot directly experiment on the treatment variable. Instruments are variables which only affect the outcome…

Methodology · Statistics 2023-05-26 Elisabeth Ailer , Jason Hartford , Niki Kilbertus

The estimation of treatment effects is a pervasive problem in medicine. Existing methods for estimating treatment effects from longitudinal observational data assume that there are no hidden confounders, an assumption that is not testable…

Machine Learning · Computer Science 2020-09-21 Ioana Bica , Ahmed M. Alaa , Mihaela van der Schaar

Estimating the individual treatment effect (ITE) from observational data is essential in medicine. A central challenge in estimating the ITE is handling confounders, which are factors that affect both an intervention and its outcome. Most…

Machine Learning · Computer Science 2018-11-28 Changhee Lee , Nicholas Mastronarde , Mihaela van der Schaar

We propose a computationally efficient estimator, formulated as a convex program, for a broad class of non-linear regression problems that involve difference of convex (DC) non-linearities. The proposed method can be viewed as a significant…

Machine Learning · Statistics 2019-04-01 Sohail Bahmani

In some causal inference scenarios, the treatment variable is measured inaccurately, for instance in epidemiology or econometrics. Failure to correct for the effect of this measurement error can lead to biased causal effect estimates.…

Machine Learning · Computer Science 2024-09-13 Antti Pöllänen , Pekka Marttinen

Valid causal inference in observational studies often requires controlling for confounders. However, in practice measurements of confounders may be noisy, and can lead to biased estimates of causal effects. We show that we can reduce the…

Machine Learning · Statistics 2018-06-05 Nathan Kallus , Xiaojie Mao , Madeleine Udell

Measuring treatment effects in observational studies is challenging because of confounding bias. Confounding occurs when a variable affects both the treatment and the outcome. Traditional methods such as propensity score matching estimate…

Methodology · Statistics 2021-12-23 Bevan I. Smith , Charles Chimedza

Instrumental variable (IV) methods allow us the opportunity to address unmeasured confounding in causal inference. However, most IV methods are only applicable to discrete or continuous outcomes with very few IV methods for censored…

Methodology · Statistics 2020-09-30 Youjin Lee , Edward H. Kennedy , Nandita Mitra

A key challenge in environmental health research is unmeasured spatial confounding, driven by unobserved spatially structured variables that influence both treatment and outcome. A common approach is to fit a spatial regression that models…

Methodology · Statistics 2025-12-23 Sophie M. Woodward , Francesca Dominici , Jose R. Zubizarreta
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