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Instrumental variable (IV) analysis is widely used in fields such as economics and epidemiology to address unobserved confounding and measurement error when estimating the causal effects of intermediate covariates on outcomes. However,…

Methodology · Statistics 2025-09-16 Zian Zhuang , Hua Zhou , Jin Zhou , Gang Li

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…

Econometrics · Economics 2021-06-30 Guy Tchuente

Stein variational inference (SVI) is a sample-based approximate Bayesian inference technique that generates a sample set by jointly optimizing the samples' locations to minimize an information-theoretic measure of discrepancy with the…

Machine Learning · Computer Science 2024-10-22 Liam Pavlovic , David M. Rosen

In pharmacoepidemiology research, instrumental variables (IVs) are variables that strongly predict treatment but have no causal effect on the outcome of interest except through the treatment. There remain concerns about the inclusion of IVs…

This paper studies the cumulative causal effects of sequential treatments in the presence of unmeasured confounders. It is a critical issue in sequential decision-making scenarios where treatment decisions and outcomes dynamically evolve…

Machine Learning · Computer Science 2025-05-15 Yingrong Wang , Anpeng Wu , Baohong Li , Ziyang Xiao , Ruoxuan Xiong , Qing Han , Kun Kuang

We develop a method to perform model averaging in two-stage linear regression systems subject to endogeneity. Our method extends an existing Gibbs sampler for instrumental variables to incorporate a component of model uncertainty. Direct…

Methodology · Statistics 2012-03-20 Anna Karl , Alex Lenkoski

In a linear instrumental variables (IV) setting for estimating the causal effects of multiple confounded exposure/treatment variables on an outcome, we investigate the adaptive Lasso method for selecting valid instrumental variables from a…

Methodology · Statistics 2022-08-11 Xiaoran Liang , Eleanor Sanderson , Frank Windmeijer

We develop a novel test of the instrumental variable identifying assumptions for heterogeneous treatment effect models with conditioning covariates. We assume semiparametric dependence between potential outcomes and conditioning covariates.…

Econometrics · Economics 2023-09-19 Thomas Carr , Toru Kitagawa

We develop results for the use of Lasso and Post-Lasso methods to form first-stage predictions and estimate optimal instruments in linear instrumental variables (IV) models with many instruments, $p$. Our results apply even when $p$ is much…

Methodology · Statistics 2017-10-05 Alexandre Belloni , Daniel Chen , Victor Chernozhukov , Christian Hansen

Instrumental variable regression is a foundational tool for causal analysis across the social and biomedical sciences. Recent advances use kernel methods to estimate nonparametric causal relationships, with general data types, while…

Statistics Theory · Mathematics 2026-01-21 Marvin Lob , Rahul Singh , Suhas Vijaykumar

Machine learning systems struggle with robustness, under subpopulation shifts. This problem becomes especially pronounced in scenarios where only a subset of attribute combinations is observed during training -a severe form of subpopulation…

Machine Learning · Computer Science 2025-06-17 Sachit Gaudi , Gautam Sreekumar , Vishnu Boddeti

We study the kernel instrumental variable (KIV) algorithm, a kernel-based two-stage least-squares method for nonparametric instrumental variable regression. We provide a convergence analysis covering both identified and non-identified…

Machine Learning · Statistics 2026-04-09 Dimitri Meunier , Zhu Li , Tim Christensen , Arthur Gretton

Indirect experiments provide a valuable framework for estimating treatment effects in situations where conducting randomized control trials (RCTs) is impractical or unethical. Unlike RCTs, indirect experiments estimate treatment effects by…

Machine Learning · Computer Science 2023-12-06 Yash Chandak , Shiv Shankar , Vasilis Syrgkanis , Emma Brunskill

Empirical instrumental variables (IV) studies often report separate results based on low-dimensional instruments and many base instruments. This paper proposes a combination test that integrates these commonly reported statistics. The test…

Econometrics · Economics 2026-03-25 Liyu Dou , Pengjin Min , Wenjie Wang , Yichong Zhang

We introduce the Multiplicative Quasi-Instrumental Variable (MQIV) model, a framework for causal inference with unmeasured confounding that leverages an instrument that may be imperfectly exogenous. We allow the candidate quasi-instrument…

Methodology · Statistics 2026-05-13 Jiewen Liu , Chan Park , David Richardson , Eric J. Tchetgen Tchetgen

Instrumental variables (IV) are often used to identify causal effects in observational settings and experiments subject to non-compliance. Under canonical assumptions, IVs allow us to identify a so-called local average treatment effect…

Econometrics · Economics 2025-09-03 Luca Locher , Mats J. Stensrud , Aaron L. Sarvet

Methods utilizing instrumental variables have been a fundamental statistical approach to estimation in the presence of unmeasured confounding, usually occurring in non-randomized observational data common to fields such as economics and…

Methodology · Statistics 2022-10-06 Charles Spanbauer , Wei Pan

This paper considers the problem of inferring the causal effect of a variable $Z$ on a dependently censored survival time $T$. We allow for unobserved confounding variables, such that the error term of the regression model for $T$ is…

Statistics Theory · Mathematics 2024-10-02 Gilles Crommen , Jad Beyhum , Ingrid Van Keilegom

Causal emergence (CE) based on effective information (EI) demonstrates that macro-states can exhibit stronger causal effects than micro-states in dynamics. However, the identification of CE and the maximization of EI both rely on…

Chaotic Dynamics · Physics 2025-11-25 Kaiwei Liu , Linli Pan , Zhipeng Wang , Mingzhe Yang , Bing Yuan , Jiang Zhang

Generating sound effects with controllable variations is a challenging task, traditionally addressed using sophisticated physical models that require in-depth knowledge of signal processing parameters and algorithms. In the era of…

Sound · Computer Science 2024-12-30 Yunyi Liu , Craig Jin
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