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We develop a novel method for counterfactual analysis based on observational data using prediction intervals for units under different exposures. Unlike methods that target heterogeneous or conditional average treatment effects of an…

Statistics Theory · Mathematics 2018-07-18 Dave Zachariah , Petre Stoica

Counterfactual prediction methods are required when a model will be deployed in a setting where treatment policies differ from the setting where the model was developed, or when a model provides predictions under hypothetical interventions…

Methodology · Statistics 2025-08-13 Christopher B. Boyer , Issa J. Dahabreh , Jon A. Steingrimsson

Decomposition methods are often used for producing counterfactual predictions in non-strategic settings. When the outcome of interest arises from a game-theoretic setting where agents are better off by deviating from their strategies after…

Econometrics · Economics 2024-07-03 Nathan Canen , Kyungchul Song

Predictions under interventions are estimates of what a person's risk of an outcome would be if they were to follow a particular treatment strategy, given their individual characteristics. Such predictions can give important input to…

Methodology · Statistics 2025-06-17 Ruth H. Keogh , Nan van Geloven

Counterfactuals are central in causal human reasoning and the scientific discovery process. The uplift, also called conditional average treatment effect, measures the causal effect of some action, or treatment, on the outcome of an…

Machine Learning · Computer Science 2025-12-10 Théo Verhelst , Denis Mercier , Jeevan Shrestha , Gianluca Bontempi

The Bayesian statistical paradigm provides a principled and coherent approach to probabilistic forecasting. Uncertainty about all unknowns that characterize any forecasting problem -- model, parameters, latent states -- is able to be…

An analysis using classical stochastic processes is used to construct a consistent system of quantum counterfactual reasoning. When applied to a counterfactual version of Hardy's paradox, it shows that the probabilistic character of quantum…

Quantum Physics · Physics 2009-10-31 Robert B. Griffiths

Counterfactual data augmentation has recently emerged as a method to mitigate confounding biases in the training data. These biases, such as spurious correlations, arise due to various observed and unobserved confounding variables in the…

Machine Learning · Computer Science 2023-11-22 Abbavaram Gowtham Reddy , Saketh Bachu , Saloni Dash , Charchit Sharma , Amit Sharma , Vineeth N Balasubramanian

Unaided human decision making appears to systematically violate consistency constraints imposed by normative theories; these biases in turn appear to justify the application of formal decision-analytic models. It is argued that both claims…

Artificial Intelligence · Computer Science 2013-04-08 Marvin S. Cohen

In statistical inference, uncertainty is unknown and all models are wrong. That is to say, a person who makes a statistical model and a prior distribution is simultaneously aware that both are fictional candidates. To study such cases,…

Machine Learning · Computer Science 2023-02-13 Sumio Watanabe

Bayesian methods are actively used for parameter identification and uncertainty quantification when solving nonlinear inverse problems with random noise. However, there are only few theoretical results justifying the Bayesian approach.…

Statistics Theory · Mathematics 2020-02-04 Vladimir Spokoiny

The statistical inverse problem of estimating the probability distribution of an infinite-dimensional unknown given its noisy indirect observation is studied in the Bayesian framework. In practice, one often considers only…

Statistics Theory · Mathematics 2017-11-21 Sari Lasanen

Counterfactual estimation from observations represents a critical endeavor in numerous application fields, such as healthcare and finance, with the primary challenge being the mitigation of treatment bias. The balancing strategy aimed at…

Machine Learning · Computer Science 2024-08-19 Qiang Huang , Chuizheng Meng , Defu Cao , Biwei Huang , Yi Chang , Yan Liu

There has been considerable recent interest in explainability in AI, especially with black-box machine learning models. As correctly observed by the planning community, when the application at hand is not a single-shot decision or…

Artificial Intelligence · Computer Science 2025-02-14 Vaishak Belle

Inverse analysis, such as model calibration, often suffers from a lack of informative data in complex real-world scenarios. The standard remedy, designing new experimental setups, is often costly and time-consuming, while readily available…

Computational Engineering, Finance, and Science · Computer Science 2026-01-16 Lea J. Haeusel , Jonas Nitzler , Lea J. Köglmeier , Wolfgang A. Wall

Nonparametric Bayesian models are used routinely as flexible and powerful models of complex data. Many times, a statistician may have additional informative beliefs about data distribution of interest, e.g., its mean or subset components,…

Methodology · Statistics 2022-11-08 Bingjing Tang , Vinayak Rao

Conformal prediction has emerged as a cutting-edge methodology in statistics and machine learning, providing prediction intervals with finite-sample frequentist coverage guarantees. Yet, its interplay with Bayesian statistics, often…

Methodology · Statistics 2026-03-27 Nina Deliu , Brunero Liseo

Interactive constraint systems often suffer from infeasibility (no solution) due to conflicting user constraints. A common approach to recover infeasibility is to eliminate the constraints that cause the conflicts in the system. This…

Artificial Intelligence · Computer Science 2022-04-08 Sharmi Dev Gupta , Begum Genc , Barry O'Sullivan

Assume we observe a finite number of inspection times together with information on whether a specific event has occurred before each of these times. Suppose replicated measurements are available on multiple event times. The set of…

Statistics Theory · Mathematics 2020-11-17 Geurt Jongbloed , Frank van der Meulen , Lixue Pang

Counterfactual explanations have been successfully applied to create human interpretable explanations for various black-box models. They are handy for tasks in the image domain, where the quality of the explanations benefits from recent…

Machine Learning · Computer Science 2025-03-27 Trung Duc Ha , Sidney Bender