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In this paper, we address the challenge of performing counterfactual inference with observational data via Bayesian nonparametric regression adjustment, with a focus on high-dimensional settings featuring multiple actions and multiple…

Machine Learning · Computer Science 2022-11-22 Alberto Caron , Gianluca Baio , Ioanna Manolopoulou

We introduce new inference procedures for counterfactual and synthetic control methods for policy evaluation. We recast the causal inference problem as a counterfactual prediction and a structural breaks testing problem. This allows us to…

Econometrics · Economics 2022-01-26 Victor Chernozhukov , Kaspar Wüthrich , Yinchu Zhu

Causal discovery, the problem of inferring the direction of causality, is generally ill-posed. We use the language of structural causal models (SCM) to show that assuming that the causal relations are acyclic and invariant across multiple…

Machine Learning · Statistics 2026-05-14 Francesco Montagna , Francesco Locatello

Counterfactual explanations are emerging as an attractive option for providing recourse to individuals adversely impacted by algorithmic decisions. As they are deployed in critical applications (e.g. law enforcement, financial lending), it…

Machine Learning · Computer Science 2021-11-05 Dylan Slack , Sophie Hilgard , Himabindu Lakkaraju , Sameer Singh

Accurate estimation of counterfactual outcomes in high-dimensional data is crucial for decision-making and understanding causal relationships and intervention outcomes in various domains, including healthcare, economics, and social…

Machine Learning · Computer Science 2024-07-31 Jiageng Zhu , Hanchen Xie , Jiazhi Li , Wael Abd-Almageed

Model explanations based on pure observational data cannot compute the effects of features reliably, due to their inability to estimate how each factor alteration could affect the rest. We argue that explanations should be based on the…

Machine Learning · Statistics 2019-09-20 Álvaro Parafita , Jordi Vitrià

Heterogeneity in medical data, e.g., from data collected at different sites and with different protocols in a clinical study, is a fundamental hurdle for accurate prediction using machine learning models, as such models often fail to…

Machine Learning · Computer Science 2021-07-13 Rongguang Wang , Pratik Chaudhari , Christos Davatzikos

Counterfactuals answer questions of what would have been observed under altered circumstances and can therefore offer valuable insights. Whereas the classical interventional interpretation of counterfactuals has been studied extensively,…

Artificial Intelligence · Computer Science 2024-08-13 Klaus-Rudolf Kladny , Julius von Kügelgen , Bernhard Schölkopf , Michael Muehlebach

In the estimation of causal effects, one common method for removing the influence of confounders is to adjust the variables that satisfy the back-door criterion. However, it is not always possible to uniquely determine sets of such…

Machine Learning · Computer Science 2025-02-06 Atsushi Noda , Takashi Isozaki

In the causal learning setting, we wish to learn cause-and-effect relationships between variables such that we can correctly infer the effect of an intervention. While the difference between a cyclic structure and an acyclic structure may…

Machine Learning · Computer Science 2020-07-27 Katie Everett , Ian Fischer

Parametric causal modelling techniques rarely provide functionality for counterfactual estimation, often at the expense of modelling complexity. Since causal estimations depend on the family of functions used to model the data, simplistic…

Machine Learning · Statistics 2020-06-16 Álvaro Parafita , Jordi Vitrià

Synthetic control methods (SCMs) are a canonical approach used to estimate treatment effects from panel data in the internet economy. We shed light on a frequently overlooked but ubiquitous assumption made in SCMs of "overlap": a treated…

Econometrics · Economics 2026-02-26 Daniel Ngo , Keegan Harris , Anish Agarwal , Vasilis Syrgkanis , Zhiwei Steven Wu

We study the computational complexity of counterfactual reasoning in relation to the complexity of associational and interventional reasoning on structural causal models (SCMs). We show that counterfactual reasoning is no harder than…

Artificial Intelligence · Computer Science 2023-05-22 Yunqiu Han , Yizuo Chen , Adnan Darwiche

Causal inference is a critical task across fields such as healthcare, economics, and the social sciences. While recent advances in machine learning, especially those based on the deep-learning architectures, have shown potential in…

Machine Learning · Statistics 2024-12-30 Manqing Liu , David R. Bellamy , Andrew L. Beam

Structural causal models (SCMs) are widely used in various disciplines to represent causal relationships among variables in complex systems. Unfortunately, the underlying causal structure is often unknown, and estimating it from data…

Machine Learning · Computer Science 2024-01-17 Tianyu Chen , Kevin Bello , Bryon Aragam , Pradeep Ravikumar

Inferring the potential consequences of an unobserved event is a fundamental scientific question. To this end, Pearl's celebrated do-calculus provides a set of inference rules to derive an interventional probability from an observational…

Discrete Mathematics · Computer Science 2021-08-10 Benjamin Heymann , Michel de Lara , Jean-Philippe Chancelier

Ensuring transparency in AI decision-making requires interpretable explanations, particularly at the instance level. Counterfactual explanations are a powerful tool for this purpose, but existing techniques frequently depend on synthetic…

Machine Learning · Computer Science 2025-02-13 Minh Hieu Nguyen , Viet Hung Doan , Anh Tuan Nguyen , Jun Jo , Quoc Viet Hung Nguyen

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

We consider the task of causal imputation, where we aim to predict the outcomes of some set of actions across a wide range of possible contexts. As a running example, we consider predicting how different drugs affect cells from different…

Machine Learning · Statistics 2024-09-19 Alvaro Ribot , Chandler Squires , Caroline Uhler

This paper investigates the use of synthetic control methods for causal inference in macroeconomic settings when dealing with possibly nonstationary data. While the synthetic control approach has gained popularity for estimating…

Econometrics · Economics 2025-05-29 Zhentao Shi , Jin Xi , Haitian Xie