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We consider the task of counterfactual estimation from observational imaging data given a known causal structure. In particular, quantifying the causal effect of interventions for high-dimensional data with neural networks remains an open…

Machine Learning · Computer Science 2022-02-22 Pedro Sanchez , Sotirios A. Tsaftaris

The Ladder of Causation describes three qualitatively different types of activities an agent may be interested in engaging in, namely, seeing (observational), doing (interventional), and imagining (counterfactual) (Pearl and Mackenzie,…

Artificial Intelligence · Computer Science 2021-09-14 Juan D Correa , Sanghack Lee , Elias Bareinboim

In many fields$\unicode{x2013}$including genomics, epidemiology, natural language processing, social and behavioral sciences, and economics$\unicode{x2013}$it is increasingly important to address causal questions in the context of factor…

Methodology · Statistics 2025-06-30 Jenna M. Landy , Dafne Zorzetto , Roberta De Vito , Giovanni Parmigiani

Consider the case where causal relations among variables can be described as a Gaussian linear structural equation model. This paper deals with the problem of clarifying how the variance of a response variable would have changed if a…

Artificial Intelligence · Computer Science 2012-07-09 Zhihong Cai , Manabu Kuroki

Causal and counterfactual reasoning are emerging directions in data science that allow us to reason about hypothetical scenarios. This is particularly useful in fields like environmental and ecological sciences, where interventional data…

Artificial Intelligence · Computer Science 2024-12-06 Rafael Cabañas , Ana D. Maldonado , María Morales , Pedro A. Aguilera , Antonio Salmerón

Counterfactual reasoning aims at answering contrary-to-fact questions like ``Would have Alice recovered had she taken aspirin?'' and corresponds to the most fine-grained layer of causation. Critically, while many counterfactual statements…

Artificial Intelligence · Computer Science 2025-09-23 Lucas de Lara

There are now many explainable AI methods for understanding the decisions of a machine learning model. Among these are those based on counterfactual reasoning, which involve simulating features changes and observing the impact on the…

Machine Learning · Computer Science 2024-04-15 Vincent Lemaire , Nathan Le Boudec , Victor Guyomard , Françoise Fessant

In many applications, it is important to be able to explain the decisions of machine learning systems. An increasingly popular approach has been to seek to provide \emph{counterfactual instance explanations}. These specify close possible…

Artificial Intelligence · Computer Science 2021-09-22 Adam White , Artur d'Avila Garcez

Current pre-trained language models have enabled remarkable improvements in downstream tasks, but it remains difficult to distinguish effects of statistical correlation from more systematic logical reasoning grounded on understanding of the…

Computation and Language · Computer Science 2022-12-08 Jiaxuan Li , Lang Yu , Allyson Ettinger

Structural causal models are the basic modelling unit in Pearl's causal theory; in principle they allow us to solve counterfactuals, which are at the top rung of the ladder of causation. But they often contain latent variables that limit…

Artificial Intelligence · Computer Science 2021-11-23 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

In this paper, we focus on estimating the causal effect of an intervention over time on a dynamical system. To that end, we formally define causal interventions and their effects over time on discrete-time stochastic processes (DSPs). Then,…

Artificial Intelligence · Computer Science 2025-05-28 Martina Cinquini , Isacco Beretta , Salvatore Ruggieri , Isabel Valera

This tutorial provides a concise introduction to modern causal modeling by integrating potential outcomes and graphical methods. We motivate causal questions such as counterfactual reasoning under interventions and define binary treatments…

Methodology · Statistics 2025-06-27 Gauranga Kumar Baishya

To construct interpretable explanations that are consistent with the original ML model, counterfactual examples---showing how the model's output changes with small perturbations to the input---have been proposed. This paper extends the work…

Machine Learning · Computer Science 2020-06-16 Divyat Mahajan , Chenhao Tan , Amit Sharma

Being able to provide counterfactual interventions - sequences of actions we would have had to take for a desirable outcome to happen - is essential to explain how to change an unfavourable decision by a black-box machine learning model…

Machine Learning · Computer Science 2023-02-08 Giovanni De Toni , Bruno Lepri , Andrea Passerini

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

Counterfactual explanations elucidate algorithmic decisions by pointing to scenarios that would have led to an alternative, desired outcome. Giving insight into the model's behavior, they hint users towards possible actions and give grounds…

Machine Learning · Statistics 2024-04-05 Susanne Dandl , Kristin Blesch , Timo Freiesleben , Gunnar König , Jan Kapar , Bernd Bischl , Marvin Wright

Counterfactual explanation methods interpret the outputs of a machine learning model in the form of "what-if scenarios" without compromising the fidelity-interpretability trade-off. They explain how to obtain a desired prediction from the…

Machine Learning · Computer Science 2021-08-19 Peyman Rasouli , Ingrid Chieh Yu

While recent years have witnessed the emergence of various explainable methods in machine learning, to what degree the explanations really represent the reasoning process behind the model prediction -- namely, the faithfulness of…

Computation and Language · Computer Science 2021-09-07 Yingqiang Ge , Shuchang Liu , Zelong Li , Shuyuan Xu , Shijie Geng , Yunqi Li , Juntao Tan , Fei Sun , Yongfeng Zhang

Explainability, in particular, the ability for robots to explain why they have made a decision or behaved in a certain way, is a critical tool in helping users understand the robots they interact and coexist with. Behaviour trees are a…

Robotics · Computer Science 2026-05-21 Tamlin Love , Antonio Andriella , Guillem Alenyà

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