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Causal structure learning from observational data remains a non-trivial task due to various factors such as finite sampling, unobserved confounding factors, and measurement errors. Constraint-based and score-based methods tend to suffer…

Machine Learning · Computer Science 2022-11-09 Rezaur Rashid , Jawad Chowdhury , Gabriel Terejanu

To unbiasedly estimate a causal effect on an outcome unconfoundedness is often assumed. If there is sufficient knowledge on the underlying causal structure then existing confounder selection criteria can be used to select subsets of the…

Methodology · Statistics 2017-03-20 Jenny Häggström

Probabilistic machine learning models are often insufficient to help with decisions on interventions because those models find correlations - not causal relationships. If observational data is only available and experimentation are…

Artificial Intelligence · Computer Science 2021-05-13 Marios Papamichalis , Abhishek Ray , Ilias Bilionis , Karthik Kannan , Rajiv Krishnamurthy

Causal treatment effect estimation is a key problem that arises in a variety of real-world settings, from personalized medicine to governmental policy making. There has been a flurry of recent work in machine learning on estimating causal…

Machine Learning · Computer Science 2020-10-22 Niki Kilbertus , Matt J. Kusner , Ricardo Silva

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

Statistics Theory · Mathematics 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Causal relationships among variables are commonly represented via directed acyclic graphs. There are many methods in the literature to quantify the strength of arrows in a causal acyclic graph. These methods, however, have undesirable…

Statistics Theory · Mathematics 2020-10-08 Yue Wang , Linbo Wang

Causal inference from observational data is crucial for many disciplines such as medicine and economics. However, sharp bounds for causal effects under relaxations of the unconfoundedness assumption (causal sensitivity analysis) are subject…

Machine Learning · Computer Science 2023-10-17 Dennis Frauen , Valentyn Melnychuk , Stefan Feuerriegel

Instrumental variables have proven useful, in particular within the social sciences and economics, for making inference about the causal effect of a random variable, B, on another random variable, C, in the presence of unobserved…

Methodology · Statistics 2012-06-26 Roland R. Ramsahai

In longitudinal studies where units are embedded in space or a social network, interference may arise, meaning that a unit's outcome can depend on treatment histories of others. The presence of interference poses significant challenges for…

Methodology · Statistics 2025-08-26 Ye Wang , Michael Jetsupphasuk

Causal discovery aims to uncover cause-and-effect relationships encoded in causal graphs by leveraging observational, interventional data, or their combination. The majority of existing causal discovery methods are developed assuming…

Machine Learning · Computer Science 2024-06-25 Muhammad Qasim Elahi , Lai Wei , Murat Kocaoglu , Mahsa Ghasemi

Learning the causal structure that underlies data is a crucial step towards robust real-world decision making. The majority of existing work in causal inference focuses on determining a single directed acyclic graph (DAG) or a Markov…

Machine Learning · Computer Science 2021-06-15 Yashas Annadani , Jonas Rothfuss , Alexandre Lacoste , Nino Scherrer , Anirudh Goyal , Yoshua Bengio , Stefan Bauer

Algorithms for constraint-based causal discovery select graphical causal models among a space of possible candidates (e.g., all directed acyclic graphs) by executing a sequence of conditional independence tests. These may be used to inform…

Methodology · Statistics 2025-09-19 Ting-Hsuan Chang , Zijian Guo , Daniel Malinsky

Probabilities of causation are fundamental to individual-level explanation and decision making, yet they are inherently counterfactual and not point-identifiable from data in general. Existing bounds either disregard available covariates,…

Artificial Intelligence · Computer Science 2026-02-17 Yuxuan Xie , Ang Li

Causality plays a pivotal role in various fields of study. Based on the framework of causal graphical models, previous works have proposed identifying whether a variable is a cause or non-cause of a target in every Markov equivalent graph…

Machine Learning · Statistics 2024-08-16 Qingyuan Zheng , Yue Liu , Yangbo He

We introduce a new family of graphical models that consists of graphs with possibly directed, undirected and bidirected edges but without directed cycles. We show that these models are suitable for representing causal models with additive…

Machine Learning · Statistics 2017-05-30 Jose M. Peña , Marcus Bendtsen

Causal knowledge is vital for effective reasoning in science, as causal relations, unlike correlations, allow one to reason about the outcomes of interventions. Algorithms that can discover causal relations from observational data are based…

Machine Learning · Statistics 2019-11-12 Anish Dhir , Ciarán M. Lee

Causal graphs may inform covariate adjustment for estimating causal effects and improve estimation efficiency by exploiting the graphical structure. In many applications, however, the target causal parameter may not be point-identified due…

Understanding causal relationships between variables is a fundamental problem with broad impact in numerous scientific fields. While extensive research has been dedicated to learning causal graphs from data, its complementary concept of…

Machine Learning · Computer Science 2024-03-12 Jiaqi Zhang , Kirankumar Shiragur , Caroline Uhler

Convenient access to observational data enables us to learn causal effects without randomized experiments. This research direction draws increasing attention in research areas such as economics, healthcare, and education. For example, we…

Social and Information Networks · Computer Science 2019-12-03 Ruocheng Guo , Jundong Li , Huan Liu

We assume that we have observational data generated from an unknown underlying directed acyclic graph (DAG) model. A DAG is typically not identifiable from observational data, but it is possible to consistently estimate the equivalence…

Methodology · Statistics 2009-09-02 Marloes H. Maathuis , Markus Kalisch , Peter Bühlmann