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We consider a causal effect that is confounded by an unobserved variable, but with observed proxy variables of the confounder. We show that, with at least two independent proxy variables satisfying a certain rank condition, the causal…

Methodology · Statistics 2018-06-29 Wang Miao , Zhi Geng , Eric Tchetgen Tchetgen

Instrumental variables have proven useful, in particular within the social sciences and economics, for making inference about the causal effect of a random variable, B, on another random variable, C, in the presence of unobserved…

Methodology · Statistics 2012-06-26 Roland R. Ramsahai

Inferring causal effects of a treatment, intervention or policy from observational data is central to many applications. However, state-of-the-art methods for causal inference seldom consider the possibility that covariates have missing…

Methodology · Statistics 2020-02-26 Imke Mayer , Julie Josse , Félix Raimundo , Jean-Philippe Vert

We present new results for nonparametric identification of causal effects using noisy proxies for unobserved confounders. Our approach builds on the results of \citet{Hu2008} who tackle the problem of general measurement error. We call this…

Econometrics · Economics 2023-05-05 Ben Deaner

Inferring the causal effect of a non-randomly assigned exposure on an outcome requires adjusting for common causes of the exposure and outcome to avoid biased conclusions. Notwithstanding the efforts investigators routinely make to measure…

Methodology · Statistics 2021-02-04 Wen Wei Loh , Stijn Vansteelandt

Unobserved confounders are a long-standing issue in causal inference using propensity score methods. This study proposed nonparametric indices to quantify the impact of unobserved confounders through pseudo-experiments with an application…

Methodology · Statistics 2020-08-27 Beilin Jia , Donglin Zeng , Qing Yang , Wei Pan

Causal inference plays a vital role in diverse domains like epidemiology, healthcare, and economics. De-confounding and counterfactual prediction in observational data has emerged as a prominent concern in causal inference research. While…

Machine Learning · Computer Science 2023-09-08 Yonghe Zhao , Qiang Huang , Siwei Wu , Yun Peng , Huiyan Sun

Conventional methods in causal effect inferencetypically rely on specifying a valid set of control variables. When this set is unknown or misspecified, inferences will be erroneous. We propose a method for inferring average causal effects…

Methodology · Statistics 2021-06-14 Ludvig Hult , Dave Zachariah

We investigate the estimation of the causal effect of a treatment variable on an outcome in the presence of a latent confounder. We first show that the causal effect is identifiable under certain conditions when data is available from…

Artificial Intelligence · Computer Science 2025-06-16 Yaroslav Kivva , Sina Akbari , Saber Salehkaleybar , Negar Kiyavash

One of the common ways children learn is by mimicking adults. Imitation learning focuses on learning policies with suitable performance from demonstrations generated by an expert, with an unspecified performance measure, and unobserved…

Machine Learning · Computer Science 2022-08-15 Junzhe Zhang , Daniel Kumor , Elias Bareinboim

It is important to draw causal inference from observational studies, which, however, becomes challenging if the confounders have missing values. Generally, causal effects are not identifiable if the confounders are missing not at random. We…

Methodology · Statistics 2019-02-04 Shu Yang , Linbo Wang , Peng Ding

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…

Methodology · Statistics 2023-02-06 Dimitris Bertsimas , Kosuke Imai , Michael Lingzhi Li

Causal understanding is a fundamental goal of evidence-based medicine. When randomization is impossible, causal inference methods allow the estimation of treatment effects from retrospective analysis of observational data. However, such…

Machine Learning · Computer Science 2024-11-06 Samuel Lee , Zach Wood-Doughty

Learning causal relationships among a set of variables, as encoded by a directed acyclic graph, from observational data is complicated by the presence of unobserved confounders. Instrumental variables (IVs) are a popular remedy for this…

Methodology · Statistics 2025-04-17 Jing Zou , Wei Li , Wei Lin

Standard imitation learning can fail when the expert demonstrators have different sensory inputs than the imitating agent. This is because partial observability gives rise to hidden confounders in the causal graph. In previous work, to work…

Machine Learning · Computer Science 2024-08-27 Risto Vuorio , Pim de Haan , Johann Brehmer , Hanno Ackermann , Daniel Dijkman , Taco Cohen

Various methods have recently been proposed to estimate causal effects with confidence intervals that are uniformly valid over a set of data generating processes when high-dimensional nuisance models are estimated by post-model-selection or…

Methodology · Statistics 2025-10-07 Niloofar Moosavi , Tetiana Gorbach , Xavier de Luna

Recent work has focused on the potential and pitfalls of causal identification in observational studies with multiple simultaneous treatments. Building on previous work, we show that even if the conditional distribution of unmeasured…

Methodology · Statistics 2025-03-28 Jiajing Zheng , Alexander D'Amour , Alexander Franks

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,…

Inferring causal relationships between variable pairs in the observational study is crucial but challenging, due to the presence of unmeasured confounding. While previous methods employed the negative controls to adjust for the confounding…

Methodology · Statistics 2025-10-21 Yong Wu , Yanwei Fu , Shouyan Wang , Yizhou Wang , Xinwei Sun

Proximal causal inference (PCI) is a recently proposed framework to identify and estimate the causal effect of an exposure on an outcome in the presence of hidden confounders, using observed proxies. Specifically, PCI relies on two types of…

Methodology · Statistics 2025-07-29 Prabrisha Rakshit , Xu Shi , Eric Tchetgen Tchetgen
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