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Consider sensitivity analysis to assess the worst-case possible values of counterfactual outcome means and average treatment effects under sequential unmeasured confounding in a longitudinal study with time-varying treatments and…

Statistics Theory · Mathematics 2023-08-31 Zhiqiang Tan

While many areas of machine learning have benefited from the increasing availability of large and varied datasets, the benefit to causal inference has been limited given the strong assumptions needed to ensure identifiability of causal…

Machine Learning · Computer Science 2022-01-02 Wenshuo Guo , Serena Wang , Peng Ding , Yixin Wang , Michael I. Jordan

Methods for estimating heterogeneous treatment effects (HTE) from observational data have largely focused on continuous or binary outcomes, with less attention paid to survival outcomes and almost none to settings with competing risks. In…

Methodology · Statistics 2024-09-30 Shenbo Xu , Raluca Cobzaru , Stan N. Finkelstein , Roy E. Welsch , Kenney Ng , Zach Shahn

Accurately estimating treatment effects over time is crucial in fields such as precision medicine, epidemiology, economics, and marketing. Many current methods for estimating treatment effects over time assume that all confounders are…

Machine Learning · Statistics 2025-11-11 Mouad El Bouchattaoui , Myriam Tami , Benoit Lepetit , Paul-Henry Cournède

Causal identification of treatment effects for infectious disease outcomes in interconnected populations is challenging because infection outcomes may be transmissible to others, and treatment given to one individual may affect others'…

Methodology · Statistics 2021-05-11 Xiaoxuan Cai , Eben Kenah , Forrest W. Crawford

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…

Methodology · Statistics 2024-04-01 Sizhu Lu , Peng Ding

We consider time to treatment initiation. This can commonly occur in preventive medicine, such as disease screening and vaccination; it can also occur with non-fatal health conditions such as HIV infection without the onset of AIDS. While…

Methodology · Statistics 2026-05-29 Zhichen Zhao , Andrew Ying , Ronghui Xu

Estimating the conditional average treatment effect (CATE) from observational data is relevant for many applications such as personalized medicine. Here, we focus on the widespread setting where the observational data come from multiple…

Machine Learning · Computer Science 2024-06-05 Jonas Schweisthal , Dennis Frauen , Mihaela van der Schaar , Stefan Feuerriegel

Standard approaches in generalizability often focus on generalizing the intent-to-treat (ITT). However, in practice, a more policy-relevant quantity is the generalized impact of an intervention across compliers. While instrumental variable…

Methodology · Statistics 2025-06-03 Zhongren Chen , Melody Huang

Factorial experiments are ubiquitous in the social and biomedical sciences, but when units fail to comply with each assigned factors, identification and estimation of the average treatment effects become impossible without strong…

Methodology · Statistics 2025-08-06 Matthew Blackwell , Nicole E. Pashley

Unmeasured confounding is a key challenge for causal inference. In this paper, we establish a framework for unmeasured confounding adjustment with negative control variables. A negative control outcome is associated with the confounder but…

Methodology · Statistics 2024-09-09 Wang Miao , Xu Shi , Yilin Li , Eric Tchetgen Tchetgen

Bidirectional causal relationships arising from mutual interactions between variables are commonly observed within biomedical, econometrical, and social science contexts. When such relationships are further complicated by unobserved…

Methodology · Statistics 2026-01-27 Yafang Deng , Kang Shuai , Shanshan Luo

With reference to a binary outcome and a binary mediator, we derive identification bounds for natural effects under a reduced set of assumptions. Specifically, no assumptions about confounding are made that involve the outcome; we only…

Methodology · Statistics 2026-04-03 Marco Doretti , Elena Stanghellini

Contrasting marginal counterfactual survival curves across treatment arms is an effective and popular approach for inferring the causal effect of an intervention on a right-censored time-to-event outcome. A key challenge to drawing such…

Methodology · Statistics 2022-04-29 Andrew Ying , Yifan Cui , Eric J. Tchetgen Tchetgen

In causal inference, it is common to estimate the causal effect of a single treatment variable on an outcome. However, practitioners may also be interested in the effect of simultaneous interventions on multiple covariates of a fixed target…

Methodology · Statistics 2022-11-24 Jaime Roquero Gimenez , Dominik Rothenhäusler

We develop a data-driven information-theoretic framework for sharp partial identification of causal effects under unmeasured confounding. Existing approaches often rely on restrictive assumptions, such as bounded or discrete outcomes;…

Machine Learning · Statistics 2026-02-24 Yonghan Jung , Bogyeong Kang

Observational studies are frequently used to estimate the effect of an exposure or treatment on an outcome. To obtain an unbiased estimate of the treatment effect, it is crucial to measure the exposure accurately. A common type of exposure…

Methodology · Statistics 2024-07-02 Suhwan Bong , Kwonsang Lee , Francesca Dominici

We study categorical instrumental variable (IV) models with instrument, treatment, and outcome taking finitely many values. We derive a simple closed-form characterization of the set of joint distributions of potential outcomes that are…

Statistics Theory · Mathematics 2025-11-13 Yilin Song , F. Richard Guo , K. C. Gary Chan , Thomas S. Richardson

Causal effect estimation for dynamic treatment regimes (DTRs) contributes to sequential decision making. However, censoring and time-dependent confounding under DTRs are challenging as the amount of observational data declines over time due…

Machine Learning · Statistics 2021-09-27 Adi Lin , Jie Lu , Junyu Xuan , Fujin Zhu , Guangquan Zhang

Instrumental variables are a popular study design for the estimation of treatment effects in the presence of unobserved confounders. In the canonical instrumental variables design, the instrument is a binary variable. In many settings,…

Methodology · Statistics 2024-10-10 Prabrisha Rakshit , Alexander Levis , Luke Keele