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Referred to as the third rung of the causal inference ladder, counterfactual queries typically ask the "What if ?" question retrospectively. The standard approach to estimate counterfactuals resides in using a structural equation model that…

机器学习 · 计算机科学 2023-01-18 Edward De Brouwer

Standard measures of effect, including the risk ratio, the odds ratio, and the risk difference, are associated with a number of well-described shortcomings, and no consensus exists about the conditions under which investigators should…

统计方法学 · 统计学 2019-10-08 Anders Huitfeldt , Andrew Goldstein , Sonja A. Swanson

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

Evaluating hypothetical statements about how the world would be had a different course of action been taken is arguably one key capability expected from modern AI systems. Counterfactual reasoning underpins discussions in fairness, the…

机器学习 · 计算机科学 2022-10-04 Kevin Xia , Yushu Pan , Elias Bareinboim

Spatial confounding is a fundamental issue in spatial regression models which arises because spatial random effects, included to approximate unmeasured spatial variation, are typically not independent of covariates in the model. This can…

统计方法学 · 统计学 2025-07-15 Emiko Dupont , Isa Marques , Thomas Kneib

We wish to test whether a real-valued variable $Z$ has explanatory power, in addition to a multivariate variable $X$, for a binary variable $Y$. Thus, we are interested in testing the hypothesis $\mathbb{P}(Y=1\, | \, X,Z)=\mathbb{P}(Y=1\,…

统计方法学 · 统计学 2025-12-23 John H. J. Einmahl , Denis Kojevnikov , Bas J. M. Werker

Assessing causal effects in the presence of unmeasured confounding is challenging. Although auxiliary variables, such as instrumental variables, are commonly used to identify causal effects, they are often unavailable in practice due to…

统计方法学 · 统计学 2026-03-31 Kang Shuai , Shanshan Luo , Yue Zhang , Feng Xie , Yangbo He

We consider the problem of estimating counterfactual quantities when prior knowledge is available in the form of disjunctive statements. These include disjunction of conditions (e.g., "the patient is more than 60 years of age") as well as…

统计方法学 · 统计学 2017-08-14 Manabu Kuroki

This paper proposes a new framework to evaluate unconditional quantile effects (UQE) in a data combination model. The UQE measures the effect of a marginal counterfactual change in the unconditional distribution of a covariate on quantiles…

计量经济学 · 经济学 2021-05-21 Atsushi Inoue , Tong Li , Qi Xu

In this paper we look at popular fairness methods that use causal counterfactuals. These methods capture the intuitive notion that a prediction is fair if it coincides with the prediction that would have been made if someone's race, gender…

机器学习 · 统计学 2022-12-12 Jake Fawkes , Robin Evans , Dino Sejdinovic

We propose a novel framework for conducting causal inference based on counterfactual densities. While the current paradigm of causal inference is mostly focused on estimating average treatment effects (ATEs), which restricts the analysis to…

计量经济学 · 经济学 2026-04-27 Georg Keilbar , Sonja Greven

Given an observational study with $n$ independent but heterogeneous units, our goal is to learn the counterfactual distribution for each unit using only one $p$-dimensional sample per unit containing covariates, interventions, and outcomes.…

机器学习 · 计算机科学 2023-09-18 Abhin Shah , Raaz Dwivedi , Devavrat Shah , Gregory W. Wornell

This note has been updated (April, 2020) to respond to "Towards Clarifying the Theory of the Deconfounder" by Yixin Wang, David M. Blei (arXiv:2003.04948). This original note, posted in January, 2020, is meant to complement our previous…

统计方法学 · 统计学 2020-04-27 Elizabeth L. Ogburn , Ilya Shpitser , Eric J. Tchetgen Tchetgen

This work explores the effects of relevant and irrelevant boolean variables on the accuracy of classifiers. The analysis uses the assumption that the variables are conditionally independent given the class, and focuses on a natural family…

机器学习 · 计算机科学 2012-06-12 David P. Helmbold , Philip M. Long

Deep neural network based question answering (QA) models are neither robust nor explainable in many cases. For example, a multiple-choice QA model, tested without any input of question, is surprisingly "capable" to predict the most of…

计算与语言 · 计算机科学 2020-10-13 Sicheng Yu , Yulei Niu , Shuohang Wang , Jing Jiang , Qianru Sun

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…

统计方法学 · 统计学 2018-06-29 Wang Miao , Zhi Geng , Eric Tchetgen Tchetgen

Counterfactuals -- expressing what might have been true under different circumstances -- have been widely applied in statistics and machine learning to help understand causal relationships. More recently, counterfactuals have begun to…

人机交互 · 计算机科学 2024-04-08 Arran Zeyu Wang , David Borland , David Gotz

Machine learning plays a role in many deployed decision systems, often in ways that are difficult or impossible to understand by human stakeholders. Explaining, in a human-understandable way, the relationship between the input and output of…

机器学习 · 计算机科学 2022-11-17 Sahil Verma , Varich Boonsanong , Minh Hoang , Keegan E. Hines , John P. Dickerson , Chirag Shah

Retrospective causal questions ask what would have happened to an observed individual had they received a different treatment. We study the problem of estimating $\mu(x,y)=\mathbb{E}[Y(1)\mid X=x,Y(0)=y]$, the expected counterfactual…

统计方法学 · 统计学 2026-03-31 Juraj Bodik

It is shown, with two sets of indicators that separately load on two distinct factors, independent of one another conditional on the past, that if it is the case that at least one of the factors causally affects the other, then, in many…

统计方法学 · 统计学 2022-04-18 Tyler J. VanderWeele , Charles J. K. Batty
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