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Recent theoretical work in causal inference has explored an important class of variables which, when conditioned on, may further amplify existing unmeasured confounding bias (bias amplification). Despite this theoretical work, existing…

统计方法学 · 统计学 2020-03-20 Tyrel Stokes , Russell Steele , Ian Shrier

Modeling causal relationships in graph representation learning remains a fundamental challenge. Existing approaches often draw on theories and methods from causal inference to identify causal subgraphs or mitigate confounders. However, due…

机器学习 · 计算机科学 2026-04-13 Hang Gao , Kunyu Li , Huang Hong , Baoquan Cui , Fengge Wu

In computational inverse problems, it is common that a detailed and accurate forward model is approximated by a computationally less challenging substitute. The model reduction may be necessary to meet constraints in computing time when…

统计方法学 · 统计学 2018-02-14 Daniela Calvetti , Matthew M. Dunlop , Erkki Somersalo , Andrew M. Stuart

In causal inference, it is common to estimate the causal effect of a single treatment variable on an outcome. However, practitioners may also be interested in the effect of simultaneous interventions on multiple covariates of a fixed target…

统计方法学 · 统计学 2022-11-24 Jaime Roquero Gimenez , Dominik Rothenhäusler

Causal inference is known to be very challenging when only observational data are available. Randomized experiments are often costly and impractical and in instrumental variable regression the number of instruments has to exceed the number…

统计方法学 · 统计学 2018-06-19 Dominik Rothenhäusler , Peter Bühlmann , Nicolai Meinshausen

Causal models are crucial for understanding complex systems and identifying causal relationships among variables. Even though causal models are extremely popular, conditional probability calculation of formulas involving interventions pose…

人工智能 · 计算机科学 2024-05-24 Sainyam Galhotra , Joseph Y. Halpern

Statistical causal inference from observational studies often requires adjustment for a possibly multi-dimensional variable, where dimension reduction is crucial. The propensity score, first introduced by Rosenbaum and Rubin, is a popular…

统计理论 · 数学 2020-04-28 Hui Guo , Philip Dawid , Giovanni Berzuini

Estimating an individual's counterfactual outcomes under interventions is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, facial images) and…

机器学习 · 计算机科学 2025-03-19 Yulun Wu , Louie McConnell , Claudia Iriondo

Behavioral cloning reduces policy learning to supervised learning by training a discriminative model to predict expert actions given observations. Such discriminative models are non-causal: the training procedure is unaware of the causal…

机器学习 · 计算机科学 2019-11-05 Pim de Haan , Dinesh Jayaraman , Sergey Levine

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.…

统计理论 · 数学 2020-02-04 Vladimir Spokoiny

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,…

机器学习 · 计算机科学 2024-07-15 Yasin Ibrahim , Hermione Warr , Konstantinos Kamnitsas

Causal models bring many benefits to decision-making systems (or agents) by making them interpretable, sample-efficient, and robust to changes in the input distribution. However, spurious correlations can lead to wrong causal models and…

机器学习 · 计算机科学 2020-12-09 Sergei Volodin , Nevan Wichers , Jeremy Nixon

What is the difference of a prediction that is made with a causal model and a non-causal model? Suppose we intervene on the predictor variables or change the whole environment. The predictions from a causal model will in general work as…

统计方法学 · 统计学 2024-04-27 Jonas Peters , Peter Bühlmann , Nicolai Meinshausen

Causal discovery and causal reasoning are classically treated as separate and consecutive tasks: one first infers the causal graph, and then uses it to estimate causal effects of interventions. However, such a two-stage approach is…

Many scientific questions in biomedical, environmental, and psychological research involve understanding the effects of multiple factors on outcomes. While factorial experiments are ideal for this purpose, randomized controlled treatment…

统计方法学 · 统计学 2025-12-03 Ruoqi Yu , Peng Ding

Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information-updating rules. In many applications, however, prior distributions are introduced merely as…

统计方法学 · 统计学 2026-03-10 Yang Liu , Jonathan P. Williams , Jan Hannig

We address modelling and computational issues for multiple treatment effect inference under many potential confounders. Our main contribution is providing a trade-off between preventing the omission of relevant confounders, while not…

统计方法学 · 统计学 2025-02-04 Omiros Papaspiliopoulos , David Rossell , Miquel Torrens-i-Dinarès

Bayesian forecasting is developed in multivariate time series analysis for causal inference. Causal evaluation of sequentially observed time series data from control and treated units focuses on the impacts of interventions using…

统计方法学 · 统计学 2024-06-21 Graham Tierney , Christoph Hellmayr , Greg Barkimer , Kevin Li , Mike West

Discovering causal relationships from observational data is a challenging task that relies on assumptions connecting statistical quantities to graphical or algebraic causal models. In this work, we focus on widely employed assumptions for…

统计方法学 · 统计学 2024-03-20 Jonas Wahl , Urmi Ninad , Jakob Runge

Bayesian inference is a popular approach to calibrating uncertainties, but it can underpredict such uncertainties when model misspecification is present, impacting its reliability to inform decision making. Recently, the statistics and…

计算工程、金融与科学 · 计算机科学 2026-01-09 Rebekah White , Rileigh Bandy , Teresa Portone