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The decomposition of the overall effect of a treatment into direct and indirect effects is here investigated with reference to a recursive system of binary random variables. We show how, for the single mediator context, the marginal effect…

Methodology · Statistics 2025-11-14 Martina Raggi , Elena Stanghellini , Marco Doretti

Planned experiments are the gold standard in reliably comparing the causal effect of switching from a baseline policy to a new policy. One critical shortcoming of classical experimental methods, however, is that they typically do not take…

Methodology · Statistics 2016-11-07 Panagiotis , Toulis , David C. Parkes

We propose a unified mechanism for achieving coordination and communication in Multi-Agent Reinforcement Learning (MARL), through rewarding agents for having causal influence over other agents' actions. Causal influence is assessed using…

We examine counterfactual explanations for explaining the decisions made by model-based AI systems. The counterfactual approach we consider defines an explanation as a set of the system's data inputs that causally drives the decision (i.e.,…

Machine Learning · Computer Science 2021-10-14 Carlos Fernández-Loría , Foster Provost , Xintian Han

Despite their high accuracies, modern complex image classifiers cannot be trusted for sensitive tasks due to their unknown decision-making process and potential biases. Counterfactual explanations are very effective in providing…

Computer Vision and Pattern Recognition · Computer Science 2022-06-13 Kamran Alipour , Aditya Lahiri , Ehsan Adeli , Babak Salimi , Michael Pazzani

Semi-competing risks refer to the phenomenon that the terminal event (such as death) can censor the non-terminal event (such as disease progression) but not vice versa. The treatment effect on the terminal event can be delivered either…

Methodology · Statistics 2024-10-10 Yuhao Deng , Yi Wang , Xiao-Hua Zhou

This note provides additional interpretation for the counterfactual outcome distribution and corresponding unconditional quantile "effects" defined and estimated by Firpo, Fortin, and Lemieux (2009) and Chernozhukov, Fern\'andez-Val, and…

Econometrics · Economics 2021-10-07 David M. Kaplan

Post-hoc explanations of machine learning models are crucial for people to understand and act on algorithmic predictions. An intriguing class of explanations is through counterfactuals, hypothetical examples that show people how to obtain a…

Machine Learning · Computer Science 2019-12-09 Ramaravind Kommiya Mothilal , Amit Sharma , Chenhao Tan

Scene graphs -- objects as nodes and visual relationships as edges -- describe the whereabouts and interactions of the things and stuff in an image for comprehensive scene understanding. To generate coherent scene graphs, almost all…

Computer Vision and Pattern Recognition · Computer Science 2019-08-12 Long Chen , Hanwang Zhang , Jun Xiao , Xiangnan He , Shiliang Pu , Shih-Fu Chang

We study counterfactual regression, which aims to map input features to outcomes under hypothetical scenarios that differ from those observed in the data. This is particularly useful for decision-making when adapting to sudden shifts in…

Methodology · Statistics 2025-04-08 Kwangho Kim

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

When people reason about cause and effect, they often consider many competing "what if" scenarios before deciding which explanation fits best. Analogously, advanced language models capable of causal inference can consider multiple…

Machine Learning · Computer Science 2026-03-10 Finn G. Vamosi , Nils D. Forkert

Counterfactual explanations, and their associated algorithmic recourse, are typically leveraged to understand, explain, and potentially alter a prediction coming from a black-box classifier. In this paper, we propose to extend the use of…

Counterfactual explanations aim to enhance model transparency by showing how inputs can be minimally altered to change predictions. For multivariate time series, existing methods often generate counterfactuals that are invalid, implausible,…

Machine Learning · Computer Science 2026-02-18 Sarah Seifi , Anass Ibrahimi , Tobias Sukianto , Cecilia Carbonelli , Lorenzo Servadei , Robert Wille

An important problem in econometrics and marketing is to infer the causal impact that a designed market intervention has exerted on an outcome metric over time. This paper proposes to infer causal impact on the basis of a…

Applications · Statistics 2015-06-02 Kay H. Brodersen , Fabian Gallusser , Jim Koehler , Nicolas Remy , Steven L. Scott

Causal world models are systems that can answer counterfactual questions about an environment of interest, i.e. predict how it would have evolved if an arbitrary subset of events had been realized differently. It requires understanding the…

Artificial Intelligence · Computer Science 2025-05-21 Gaël Gendron , Jože M. Rožanec , Michael Witbrock , Gillian Dobbie

Understanding causes and effects in mechanical systems is an essential component of reasoning in the physical world. This work poses a new problem of counterfactual learning of object mechanics from visual input. We develop the CoPhy…

Computer Vision and Pattern Recognition · Computer Science 2020-04-08 Fabien Baradel , Natalia Neverova , Julien Mille , Greg Mori , Christian Wolf

We address counterfactual analysis in empirical models of games with partially identified parameters, and multiple equilibria and/or randomized strategies, by constructing and analyzing the counterfactual predictive distribution set (CPDS).…

Econometrics · Economics 2024-10-17 Brendan Kline , Elie Tamer

We examine how causal beliefs affect an agent's choices and how feedback on those choices leads to updated causal beliefs. Building on the structural-equations framework for modeling causality, we first examine the general problem of…

Theoretical Economics · Economics 2026-03-11 Joseph Y. Halpern , Evan Piermont , Marie-Louise Vierø

Machine learning models that automate decision-making are increasingly used in consequential areas such as loan approvals, pretrial bail approval, and hiring. Unfortunately, most of these models are black boxes, i.e., they are unable to…

Artificial Intelligence · Computer Science 2024-05-28 Sopam Dasgupta , Joaquín Arias , Elmer Salazar , Gopal Gupta