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We propose constrained causal Bayesian optimization (cCBO), an approach for finding interventions in a known causal graph that optimize a target variable under some constraints. cCBO first reduces the search space by exploiting the graph…

Machine Learning · Statistics 2023-06-14 Virginia Aglietti , Alan Malek , Ira Ktena , Silvia Chiappa

Identifying causal effects is a key problem of interest across many disciplines. The two long-standing approaches to estimate causal effects are observational and experimental (randomized) studies. Observational studies can suffer from…

Machine Learning · Computer Science 2024-07-09 Sepehr Elahi , Sina Akbari , Jalal Etesami , Negar Kiyavash , Patrick Thiran

Graphical causal models are an important tool for knowledge discovery because they can represent both the causal relations between variables and the multivariate probability distributions over the data. Once learned, causal graphs can be…

Artificial Intelligence · Computer Science 2017-04-11 Andrew J Sedgewick , Joseph D. Ramsey , Peter Spirtes , Clark Glymour , Panayiotis V. Benos

Discovering the causality from observational data is a crucial task in various scientific domains. With increasing awareness of privacy, data are not allowed to be exposed, and it is very hard to learn causal graphs from dispersed data,…

Machine Learning · Computer Science 2023-12-12 Dezhi Yang , Xintong He , Jun Wang , Guoxian Yu , Carlotta Domeniconi , Jinglin Zhang

Causal discovery algorithms based on probabilistic graphical models have emerged in geoscience applications for the identification and visualization of dynamical processes. The key idea is to learn the structure of a graphical model from…

Machine Learning · Computer Science 2015-12-29 Imme Ebert-Uphoff , Yi Deng

Causal Bayesian networks are widely used tools for summarising the dependencies between variables and elucidating their putative causal relationships. By restricting the search to trees, for example, learning the optimum from data is…

Computation · Statistics 2025-03-10 Felix L. Rios , Giusi Moffa , Jack Kuipers

Bayesian experimental design (BED) is a principled framework for data-efficient design of sequential experiments. However, existing BED methods are unable to adapt to dynamic constraints inherent in real-world tasks due to budget…

Machine Learning · Statistics 2026-05-27 Yujia Guo , Daolang Huang , Xinyu Zhang , Sammie Katt , Samuel Kaski , Ayush Bharti

Causal discovery procedures aim to deduce causal relationships among variables in a multivariate dataset. While various methods have been proposed for estimating a single causal model or a single equivalence class of models, less attention…

Methodology · Statistics 2024-10-08 Y. Samuel Wang , Mladen Kolar , Mathias Drton

Understanding the factors that trigger or prevent undesirable health outcomes across patient subpopulations is essential for designing targeted interventions. While randomized controlled trials and expert-led patient interviews are standard…

Artificial Intelligence · Computer Science 2026-05-28 Shishir Adhikari , Guido Muscioni , Mark Shapiro , Plamen Petrov , Elena Zheleva

Causal analysis has become an essential component in understanding the underlying causes of phenomena across various fields. Despite its significance, existing literature on causal discovery algorithms is fragmented, with inconsistent…

Artificial Intelligence · Computer Science 2024-09-05 Wenjin Niu , Zijun Gao , Liyan Song , Lingbo Li

Causal graphical models can encode large amounts structural knowledge, both from the background knowledge of domain experts and the structural knowledge discovered from randomized experiments or observational data. However, though we may…

Machine Learning · Computer Science 2026-04-07 Katherine Avery , Chinmay Pendse , David Jensen

Bayesian optimal experimental design (OED) seeks to conduct the most informative experiment under budget constraints to update the prior knowledge of a system to its posterior from the experimental data in a Bayesian framework. Such…

Machine Learning · Computer Science 2024-02-29 Rafael Orozco , Felix J. Herrmann , Peng Chen

Causal structure discovery (CSD) models are making inroads into several domains, including Earth system sciences. Their widespread adaptation is however hampered by the fact that the resulting models often do not take into account the…

Data Analysis, Statistics and Probability · Physics 2021-07-05 Laila Melkas , Rafael Savvides , Suyog Chandramouli , Jarmo Mäkelä , Tuomo Nieminen , Ivan Mammarella , Kai Puolamäki

Transporting causal information across populations is a critical challenge in clinical decision-making. Causal modeling provides criteria for identifiability and transportability, but these require knowledge of the causal graph, which…

Machine Learning · Statistics 2026-02-03 Konstantina Lelova , Gregory F. Cooper , Sofia Triantafillou

Bayesian optimal design is considered for experiments where the response distribution depends on the solution to a system of non-linear ordinary differential equations. The motivation is an experiment to estimate parameters in the equations…

Methodology · Statistics 2019-05-02 Antony Overstall , David Woods , Ben Parker

Understanding causal relationships among features is fundamental for explaining machine learning model decisions. However, traditional causal discovery methods face challenges with categorical variables due to numerical instability in…

Artificial Intelligence · Computer Science 2026-01-30 Henry Salgado , Meagan R. Kendall , Martine Ceberio

The inference of causal relationships using observational data from partially observed multivariate systems with hidden variables is a fundamental question in many scientific domains. Methods extracting causal information from conditional…

Machine Learning · Statistics 2020-10-13 Daniel Chicharro , Michel Besserve , Stefano Panzeri

The ability to understand causality from data is one of the major milestones of human-level intelligence. Causal Discovery (CD) algorithms can identify the cause-effect relationships among the variables of a system from related…

Artificial Intelligence · Computer Science 2024-03-14 Uzma Hasan , Emam Hossain , Md Osman Gani

We consider the problem of learning a causal graph over a set of variables with interventions. We study the cost-optimal causal graph learning problem: For a given skeleton (undirected version of the causal graph), design the set of…

Artificial Intelligence · Computer Science 2017-03-09 Murat Kocaoglu , Alexandros G. Dimakis , Sriram Vishwanath

Causal inference, as a major research area in statistics and data science, plays a central role across diverse fields such as medicine, economics, education, and the social sciences. Design-based causal inference begins with randomized…

Methodology · Statistics 2025-12-01 Xin Lu , Wanjia Fu , Hongzi Li , Haoyang Yu , Honghao Zhang , Ke Zhu , Hanzhong Liu