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Related papers: Conservative Inference for Counterfactuals

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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…

Machine Learning · Computer Science 2023-01-18 Edward De Brouwer

We propose a nonlinear difference-in-differences method to estimate multivariate counterfactual distributions in classical treatment and control study designs with observational data. Our approach sheds a new light on existing approaches…

Methodology · Statistics 2024-03-11 William Torous , Florian Gunsilius , Philippe Rigollet

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.…

Machine Learning · Computer Science 2023-09-18 Abhin Shah , Raaz Dwivedi , Devavrat Shah , Gregory W. Wornell

We provide an optimization-based framework to perform counterfactual analysis in a dynamic model with hidden states. Our framework is grounded in the ``abduction, action, and prediction'' approach to answer counterfactual queries and…

Machine Learning · Computer Science 2023-05-09 Martin Haugh , Raghav Singal

Counterfactual inference is a powerful tool, capable of solving challenging problems in high-profile sectors. To perform counterfactual inference, one requires knowledge of the underlying causal mechanisms. However, causal mechanisms cannot…

Machine Learning · Computer Science 2023-01-23 Athanasios Vlontzos , Bernhard Kainz , Ciaran M. Gilligan-Lee

In this paper, we give an alternative proof of the fact that, when compounding a nonnegative probability distribution, convex ordering between the distributions of the number of summands implies convex ordering between the resulting…

Probability · Mathematics 2019-10-17 Jean Bérard , Nicolas Juillet

Lewis' theory of counterfactuals is the foundation of many contemporary notions of causality. In this paper, we extend this theory in the temporal direction to enable symbolic counterfactual reasoning on infinite sequences, such as…

Logic in Computer Science · Computer Science 2023-06-16 Bernd Finkbeiner , Julian Siber

We propose a framework for analyzing the sensitivity of counterfactuals to parametric assumptions about the distribution of latent variables in structural models. In particular, we derive bounds on counterfactuals as the distribution of…

Econometrics · Economics 2024-03-26 Timothy Christensen , Benjamin Connault

Estimating an individual's potential response to continuously varied treatments is crucial for addressing causal questions across diverse domains, from healthcare to social sciences. However, existing methods are limited either to…

Machine Learning · Computer Science 2024-10-22 Shutong Chen , Yang Li

Sound educational policy recommendations require valid estimates of causal effects, but observational studies in physics education research sometimes have loosely specified causal hypotheses. The connections between the observational data…

Physics Education · Physics 2021-09-22 M. B. Weissman

When observational data is available from practical studies and a directed cyclic graph for how various variables affect each other is known based on substantive understanding of the process, we consider a problem in which a control plan of…

Methodology · Statistics 2012-06-26 Manabu Kuroki , Zhihong Cai

This research addresses the challenge of conducting interpretable causal inference between a binary treatment and its resulting outcome when not all confounders are known. Confounders are factors that have an influence on both the treatment…

Machine Learning · Computer Science 2023-10-24 Sohaib Kiani , Jared Barton , Jon Sushinsky , Lynda Heimbach , Bo Luo

In observational studies, treatment may be adapted to covariates at several times without a fixed protocol, in continuous time. Treatment influences covariates, which influence treatment, which influences covariates, and so on. Then even…

Statistics Theory · Mathematics 2015-09-02 Judith J. Lok

Causal inference in brain networks has traditionally relied on regression-based models such as Granger causality, structural equation modeling, and dynamic causal modeling. While effective for identifying directed associations, these…

Neurons and Cognition · Quantitative Biology 2026-04-01 Moo K. Chung , Luigi Maccotta , Aaron Struck

Stress testing poses a causal question: how would portfolio credit losses change if the macroeconomy followed an adverse counterfactual path? Yet standard practice remains predictive and might be therefore vulnerable to omitted-variable…

Artificial Intelligence · Computer Science 2026-05-19 Yu Wang , Xiangchen Liu , Siguang Li

We extend Robins' theory of causal inference for complex longitudinal data to the case of continuously varying as opposed to discrete covariates and treatments. In particular we establish versions of the key results of the discrete theory:…

Statistics Theory · Mathematics 2023-05-02 R. D. Gill , J. M. Robins

We investigate the problem of inferring the causal predictors of a response $Y$ from a set of $d$ explanatory variables $(X^1,\dots,X^d)$. Classical ordinary least squares regression includes all predictors that reduce the variance of $Y$.…

Statistics Theory · Mathematics 2018-05-29 Niklas Pfister , Peter Bühlmann , Jonas Peters

We study decision-making problems where data comprises points from a collection of binary polytopes, capturing aggregate information stemming from various combinatorial selection environments. We propose a nonparametric approach for…

Optimization and Control · Mathematics 2026-02-24 Yanqiu Ruan , Karthyek Murthy , Karthik Natarajan

We consider the problem of estimating a dose-response curve. Continuous treatments arise often in practice, e.g. in the form of time spent on an operation, distance traveled to a location or dosage of a drug. Letting $A$ denote a continuous…

Methodology · Statistics 2026-04-14 Matteo Bonvini , Edward H. Kennedy

We introduce the Sinkhorn treatment effect, an entropic optimal transport measure of divergence between counterfactual distributions. Unlike classical quantities such as the average treatment effect, this measure captures differences across…

Machine Learning · Statistics 2026-05-12 Medha Agarwal , Alex Luedtke
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