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The fundamental problem of causal inference -- that we never observe counterfactuals -- prevents us from identifying how many might be negatively affected by a proposed intervention. If, in an A/B test, half of users click (or buy, or…

统计方法学 · 统计学 2022-11-22 Nathan Kallus

Instrumental variables (IV) are a useful tool for estimating causal effects in the presence of unmeasured confounding. IV methods are well developed for uncensored outcomes, particularly for structural linear equation models, where simple…

统计方法学 · 统计学 2019-02-01 Behzad Kianian , Jung In Kim , Jason P. Fine , Limin Peng

Instrumental variable regression is a common approach for causal inference in the presence of unobserved confounding. However, identifying valid instruments is often difficult in practice. In this paper, we propose a novel method based on…

统计方法学 · 统计学 2026-01-22 Gregor Steiner , Jeremie Houssineau , Mark F. J. Steel

If $X,Y,Z$ denote sets of random variables, two different data sources may contain samples from $P_{X,Y}$ and $P_{Y,Z}$, respectively. We argue that causal discovery can help inferring properties of the `unobserved joint distributions'…

机器学习 · 统计学 2023-05-12 Dominik Janzing , Philipp M. Faller , Leena Chennuru Vankadara

We present R software packages RobustIV and controlfunctionIV for causal inference with possibly invalid instrumental variables. RobustIV focuses on the linear outcome model. It implements the two-stage hard thresholding method to select…

统计方法学 · 统计学 2023-06-21 Taehyeon Koo , Youjin Lee , Dylan S. Small , Zijian Guo

An observational study may be biased for estimating causal effects by failing to control for unmeasured confounders. This paper proposes a new quantity called the "sensitivity value", which is defined as the minimum strength of unmeasured…

统计方法学 · 统计学 2017-05-24 Qingyuan Zhao

One obstacle to ``elevating" correlation to causation is the phenomenon of confounding, i.e., when a correlation between two variables exists because both variables are in fact caused by a third variable. The situation where the confounders…

应用统计 · 统计学 2025-06-24 Caren Marzban , Yikun Zhang , Nicholas Bond , Michael Richman

A program invariant is a property that holds for every execution of the program. Recent work suggest to infer likely-only invariants, via dynamic analysis. A likely invariant is a property that holds for some executions but is not…

软件工程 · 计算机科学 2007-05-23 Tristan Denmat , Arnaud Gotlieb , Mireille Ducasse

We address the problem of integrating data from multiple, possibly biased, observational and interventional studies, to eventually compute counterfactuals in structural causal models. We start from the case of a single observational dataset…

人工智能 · 计算机科学 2023-03-17 Marco Zaffalon , Alessandro Antonucci , David Huber , Rafael Cabañas

This paper examines the foundational concept of random variables in probability theory and statistical inference, demonstrating that their mathematical definition requires no reference to randomization or hypothetical repeated sampling. We…

其他统计学 · 统计学 2025-02-11 Paul W. Vos

Vanilla variational inference finds an optimal approximation to the Bayesian posterior distribution, but even the exact Bayesian posterior is often not meaningful under model misspecification. We propose predictive variational inference…

机器学习 · 统计学 2026-03-31 Jinlin Lai , Antonio Linero , Yuling Yao

Though the ability of human beings to deal with probabilities has been put into question, the assessment of rarity is a crucial competence underlying much of human decision-making and is pervasive in spontaneous narrative behaviour. This…

其他计算机科学 · 计算机科学 2011-08-25 Jean-Louis Dessalles

The hypothesis of randomness is fundamental in statistical machine learning and in many areas of nonparametric statistics; it says that the observations are assumed to be independent and coming from the same unknown probability…

概率论 · 数学 2022-02-08 Vladimir Vovk

In many fields of research null hypothesis significance tests and p values are the accepted way of assessing the degree of certainty with which research results can be extrapolated beyond the sample studied. However, there are very serious…

统计方法学 · 统计学 2020-01-14 Michael Wood

Mendelian randomization (MR) considers using genetic variants as instrumental variables (IVs) to infer causal effects in observational studies. However, the validity of causal inference in MR can be compromised when the IVs are potentially…

统计方法学 · 统计学 2024-02-06 Ziya Xu , Sai Li

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,…

统计方法学 · 统计学 2024-10-10 Prabrisha Rakshit , Alexander Levis , Luke Keele

To answer questions of "causes of effects", the probability of necessity is introduced for assessing whether or not an observed outcome was caused by an earlier treatment. However, the statistical inference for probability of necessity is…

统计方法学 · 统计学 2025-04-14 Ping Zhang , Ruoyu Wang , Wang Miao

Unquantified sources of uncertainty in observational causal analyses can break the integrity of the results. One would never want another analyst to repeat a calculation with the same dataset, using a seemingly identical procedure, only to…

统计方法学 · 统计学 2022-08-12 Marco Morucci , Md. Noor-E-Alam , Cynthia Rudin

How to deal with missing data in observational studies is a common concern for causal inference. When the covariates are missing at random (MAR), multiple approaches have been provided to help solve the issue. However, if the exposure is…

统计方法学 · 统计学 2024-06-14 Yuliang Shi , Yeying Zhu , Joel A. Dubin

The fundamental problem of causal inference - that the counterfactual outcome for any individual is never observed - has shaped the entire methodology of the field. Every existing approach substitutes assumptions for missing data:…

人工智能 · 计算机科学 2026-04-03 Olav Laudy