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We propose a novel framework for conducting causal inference based on counterfactual densities. While the current paradigm of causal inference is mostly focused on estimating average treatment effects (ATEs), which restricts the analysis to…

Econometrics · Economics 2026-04-27 Georg Keilbar , Sonja Greven

Estimating what would be an individual's potential response to varying levels of exposure to a treatment is of high practical relevance for several important fields, such as healthcare, economics and public policy. However, existing methods…

Machine Learning · Computer Science 2020-12-11 Patrick Schwab , Lorenz Linhardt , Stefan Bauer , Joachim M. Buhmann , Walter Karlen

Data-driven methods that detect anomalies in times series data are ubiquitous in practice, but they are in general unable to provide helpful explanations for the predictions they make. In this work we propose a model-agnostic algorithm that…

Counterfactual inference for continuous rather than binary treatment variables is more common in real-world causal inference tasks. While there are already some sample reweighting methods based on Marginal Structural Model for eliminating…

Machine Learning · Computer Science 2024-07-15 Yonghe Zhao , Qiang Huang , Haolong Zeng , Yun Pen , Huiyan Sun

Geophysical inverse problems are often ill-posed and admit multiple solutions. Conventional discriminative methods typically yield a single deterministic solution, which fails to model the posterior distribution, cannot generate diverse…

Estimating treatment effects from observational data is of central interest across numerous application domains. Individual treatment effect offers the most granular measure of treatment effect on an individual level, and is the most useful…

Machine Learning · Statistics 2024-08-06 Hengrui Cai , Huaqing Jin , Lexin Li

With the ongoing rise of machine learning, the need for methods for explaining decisions made by artificial intelligence systems is becoming a more and more important topic. Especially for image classification tasks, many state-of-the-art…

Machine Learning · Computer Science 2022-05-10 Silvan Mertes , Tobias Huber , Katharina Weitz , Alexander Heimerl , Elisabeth André

Counterfactual estimation using synthetic controls is one of the most successful recent methodological developments in causal inference. Despite its popularity, the current description only considers time series aligned across units and…

Machine Learning · Statistics 2021-02-03 Alexis Bellot , Mihaela van der Schaar

The scope of this paper is generative modeling through diffusion processes. An approach falling within this paradigm is the work of Song et al. (2021), which relies on a time-reversal argument to construct a diffusion process targeting the…

Machine Learning · Computer Science 2023-12-25 Stefano Peluchetti

We present a general causal generative modelling framework for accurate estimation of high fidelity image counterfactuals with deep structural causal models. Estimation of interventional and counterfactual queries for high-dimensional…

Machine Learning · Computer Science 2023-07-19 Fabio De Sousa Ribeiro , Tian Xia , Miguel Monteiro , Nick Pawlowski , Ben Glocker

Estimation of individual treatment effect in observational data is complicated due to the challenges of confounding and selection bias. A useful inferential framework to address this is the counterfactual (potential outcomes) model which…

Machine Learning · Statistics 2017-01-23 Min Lu , Saad Sadiq , Daniel J. Feaster , Hemant Ishwaran

Counterfactual medical image generation effectively addresses data scarcity and enhances the interpretability of medical images. However, due to the complex and diverse pathological features of medical images and the imbalanced class…

Computer Vision and Pattern Recognition · Computer Science 2025-04-25 Weizhi Nie , Zichun Zhang , Weijie Wang , Bruno Lepri , Anan Liu , Nicu Sebe

Uncertainty quantification of causal effects is crucial for safety-critical applications such as personalized medicine. A powerful approach for this is conformal prediction, which has several practical benefits due to model-agnostic…

Machine Learning · Computer Science 2026-02-04 Maresa Schröder , Dennis Frauen , Jonas Schweisthal , Konstantin Heß , Valentyn Melnychuk , Stefan Feuerriegel

Healthcare requires AI that is predictive, reliable, and data-efficient. However, recent generative models lack physical foundation and temporal reasoning required for clinical decision support. As scaling language models show diminishing…

Machine Learning · Computer Science 2025-11-21 Mohammad Areeb Qazi , Maryam Nadeem , Mohammad Yaqub

Latest methods for visual counterfactual explanations (VCE) harness the power of deep generative models to synthesize new examples of high-dimensional images of impressive quality. However, it is currently difficult to compare the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-14 Philipp Vaeth , Alexander M. Fruehwald , Benjamin Paassen , Magda Gregorova

Counterfactuals, serving as one of the emerging type of model interpretations, have recently received attention from both researchers and practitioners. Counterfactual explanations formalize the exploration of ``what-if'' scenarios, and are…

Machine Learning · Computer Science 2021-06-17 Fan Yang , Sahan Suresh Alva , Jiahao Chen , Xia Hu

Consider learning a generative model for time-series data. The sequential setting poses a unique challenge: Not only should the generator capture the conditional dynamics of (stepwise) transitions, but its open-loop rollouts should also…

Machine Learning · Statistics 2023-11-03 Daniel Jarrett , Ioana Bica , Mihaela van der Schaar

Inverse problems aim to determine parameters from observations, a crucial task in engineering and science. Lately, generative models, especially diffusion models, have gained popularity in this area for their ability to produce realistic…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Gabriel della Maggiora , Luis Alberto Croquevielle , Nikita Deshpande , Harry Horsley , Thomas Heinis , Artur Yakimovich

Developing models that are capable of answering questions of the form "How would x change if y had been z?'" is fundamental to advancing medical image analysis. Training causal generative models that address such counterfactual questions,…

Machine Learning · Computer Science 2024-07-15 Yasin Ibrahim , Hermione Warr , Konstantinos Kamnitsas

Score-based diffusion models generate samples from a complex underlying data distribution by time-reversal of a diffusion process and represent the state-of-the-art in many generative AI applications. Here, I show how a generative diffusion…

Statistical Mechanics · Physics 2025-09-03 Adrian Baule
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