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We consider the problem of efficient inference of the Average Treatment Effect in a sequential experiment where the policy governing the assignment of subjects to treatment or control can change over time. We first provide a central limit…

Machine Learning · Statistics 2024-03-05 Thomas Cook , Alan Mishler , Aaditya Ramdas

We consider optimal regimes for algorithm-assisted human decision-making. Such regimes are decision functions of measured pre-treatment variables and, by leveraging natural treatment values, enjoy a "superoptimality" property whereby they…

Methodology · Statistics 2024-02-23 Mats J. Stensrud , Julien Laurendeau , Aaron L. Sarvet

Instrumental variable based estimation of a causal effect has emerged as a standard approach to mitigate confounding bias in the social sciences and epidemiology, where conducting randomized experiments can be too costly or impossible.…

Methodology · Statistics 2026-01-21 Danielle Tsao , Krikamol Muandet , Frederick Eberhardt , Emilija Perković

In this article, we aim to provide a general and complete understanding of semi-supervised (SS) causal inference for treatment effects. Specifically, we consider two such estimands: (a) the average treatment effect and (b) the quantile…

Methodology · Statistics 2024-08-15 Abhishek Chakrabortty , Guorong Dai

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

Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

Methodology · Statistics 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

A canonical desideratum for prediction problems is that performance guarantees should hold not just on average over the population, but also for meaningful subpopulations within the overall population. But what constitutes a meaningful…

Machine Learning · Computer Science 2024-12-10 Jessica Dai , Nika Haghtalab , Eric Zhao

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…

Methodology · Statistics 2022-07-01 Sai Li , Zijian Guo

The increasing interest in subpopulation analysis has led to the development of various new trial designs and analysis methods in the fields of personalized medicine and targeted therapies. In this paper, subpopulations are defined in terms…

Methodology · Statistics 2020-12-01 Roland Gerard Gera , Tim Friede

Estimating causal effects in a target population with unmeasured confounders is challenging, especially when instrumental variables (IVs) are unavailable. However, IVs from auxiliary populations with similar problems can help infer causal…

Methodology · Statistics 2025-08-06 Wei Li , Jiapeng Liu , Peng Ding , Zhi Geng

This paper proposes a framewrok for analyzing how the welfare effects of policy interventions are distributed across individuals when those effects are unobserved. Rather than focusing solely on average outcomes, the approach uses readily…

Econometrics · Economics 2025-12-25 Costas Lambros , Emerson Melo

A straightforward application of semi-supervised machine learning to the problem of treatment effect estimation would be to consider data as "unlabeled" if treatment assignment and covariates are observed but outcomes are unobserved.…

Methodology · Statistics 2020-09-15 Andrew Herren , P. Richard Hahn

Overlap between treatment groups is required for non-parametric estimation of causal effects. If a subgroup of subjects always receives the same intervention, we cannot estimate the effect of intervention changes on that subgroup without…

Machine Learning · Computer Science 2021-03-04 Michael Oberst , Fredrik D. Johansson , Dennis Wei , Tian Gao , Gabriel Brat , David Sontag , Kush R. Varshney

Precision medicine is currently a topic of great interest in clinical and intervention science. One way to formalize precision medicine is through a treatment regime, which is a sequence of decision rules, one per stage of clinical…

Methodology · Statistics 2016-06-07 Yichi Zhang , Eric B. Laber , Anastasios Tsiatis , Marie Davidian

Machine learning models $-$ now commonly developed to screen, diagnose, or predict health conditions $-$ are evaluated with a variety of performance metrics. An important first step in assessing the practical utility of a model is to…

Machine Learning · Statistics 2021-04-27 Andrew C. Miller , Leon A. Gatys , Joseph Futoma , Emily B. Fox

Interpretable deep learning is a fundamental building block towards safer AI, especially when the deployment possibilities of deep learning-based computer-aided medical diagnostic systems are so eminent. However, without a computational…

Machine Learning · Computer Science 2018-06-27 Anirban Mukhopadhyay

It has recently become popular to define treatment effects for subsets of the target population characterized by variables not observable at the time a treatment decision is made. Characterizing and estimating such treatment effects is…

Statistics Theory · Mathematics 2007-08-30 Marshall M. Joffe , Dylan Small , Chi-Yuan Hsu

With medical tests becoming increasingly available, concerns about over-testing and over-treatment dramatically increase. Hence, it is important to understand the influence of testing on treatment selection in general practice. Most…

Methodology · Statistics 2020-08-11 Yun Li , Irina Bondarenko , Michael R. Elliott , Timothy P. Hofer , Jeremy M. G. Taylor

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

In this paper, we develop new methods for estimating average treatment effects in observational studies, focusing on settings with more than two treatment levels under unconfoundedness given pre-treatment variables. We emphasize…

Methodology · Statistics 2017-10-11 Shu Yang , Guido W. Imbens , Zhanglin Cui , Douglas Faries , Zbigniew Kadziola