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We consider the problem of efficiently inferring interventional distributions in a causal Bayesian network from a finite number of observations. Let $\mathcal{P}$ be a causal model on a set $\mathbf{V}$ of observable variables on a given…

Data Structures and Algorithms · Computer Science 2021-07-28 Arnab Bhattacharyya , Sutanu Gayen , Saravanan Kandasamy , Vedant Raval , N. V. Vinodchandran

Causal graph discovery is a significant problem with applications across various disciplines. However, with observational data alone, the underlying causal graph can only be recovered up to its Markov equivalence class, and further…

Machine Learning · Computer Science 2024-02-14 Davin Choo , Kirankumar Shiragur , Caroline Uhler

Causal discovery is crucial for understanding complex systems and informing decisions. While observational data can uncover causal relationships under certain assumptions, it often falls short, making active interventions necessary. Current…

Machine Learning · Computer Science 2024-06-18 Yuxuan Wang , Mingzhou Liu , Xinwei Sun , Wei Wang , Yizhou Wang

We consider the problem of learning causal Directed Acyclic Graphs (DAGs) using combinations of observational and interventional experimental data. Current methods tailored to this setting assume that interventions either destroy…

Methodology · Statistics 2023-12-04 Alessandro Mascaro , Federico Castelletti

We show that it is possible to understand and identify a decision maker's subjective causal judgements by observing her preferences over interventions. Following Pearl [2000], we represent causality using causal models (also called…

Theoretical Economics · Economics 2024-01-23 Joseph Y. Halpern , Evan Piermont

Parametric causal modelling techniques rarely provide functionality for counterfactual estimation, often at the expense of modelling complexity. Since causal estimations depend on the family of functions used to model the data, simplistic…

Machine Learning · Statistics 2020-06-16 Álvaro Parafita , Jordi Vitrià

The task of inferring high-level causal variables from low-level observations, commonly referred to as causal representation learning, is fundamentally underconstrained. As such, recent works to address this problem focus on various…

Machine Learning · Statistics 2024-03-26 Simon Bing , Urmi Ninad , Jonas Wahl , Jakob Runge

This tutorial provides a concise introduction to modern causal modeling by integrating potential outcomes and graphical methods. We motivate causal questions such as counterfactual reasoning under interventions and define binary treatments…

Methodology · Statistics 2025-06-27 Gauranga Kumar Baishya

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

Causal inference is a science with multi-disciplinary evolution and applications. On the one hand, it measures effects of treatments in observational data based on experimental designs and rigorous statistical inference to draw causal…

Methodology · Statistics 2022-09-05 Jingying Zeng , Run Wang

Causal inference relies on the structure of a graph, often a directed acyclic graph (DAG). Different graphs may result in different causal inference statements and different intervention distributions. To quantify such differences, we…

Machine Learning · Statistics 2016-08-18 Jonas Peters , Peter Bühlmann

Causal inference is central to many areas of artificial intelligence, including complex reasoning, planning, knowledge-base construction, robotics, explanation, and fairness. An active community of researchers develops and enhances…

Artificial Intelligence · Computer Science 2019-11-05 Amanda Gentzel , Dan Garant , David Jensen

The investigation of directed acyclic graphs (DAGs) encoding the same Markov property, that is the same conditional independence relations of multivariate observational distributions, has a long tradition; many algorithms exist for model…

Methodology · Statistics 2012-09-27 Alain Hauser , Peter Bühlmann

We consider the problem of predicting a response $Y$ from a set of covariates $X$ when test and training distributions differ. Since such differences may have causal explanations, we consider test distributions that emerge from…

Methodology · Statistics 2021-08-19 Rune Christiansen , Niklas Pfister , Martin Emil Jakobsen , Nicola Gnecco , Jonas Peters

Causal inference seeks to estimate the effect of an intervention on an outcome using observed data, typically via Rubin's potential-outcome framework or Pearl's do-calculus. Following section 9 of Richardson and Robins (2013), this essay…

Methodology · Statistics 2026-05-19 Christian Bartels

Interventional causal discovery seeks to identify causal relations by leveraging distributional changes introduced by interventions, even in the presence of latent confounders. Beyond the spurious dependencies induced by latent confounders,…

Machine Learning · Computer Science 2026-02-26 Gongxu Luo , Loka Li , Guangyi Chen , Haoyue Dai , Kun Zhang

Classical causal and statistical inference methods typically assume the observed data consists of independent realizations. However, in many applications this assumption is inappropriate due to a network of dependences between units in the…

Machine Learning · Computer Science 2019-07-02 Rohit Bhattacharya , Daniel Malinsky , Ilya Shpitser

Targeted and uniform interventions to a system are crucial for unveiling causal relationships. While several methods have been developed to leverage interventional data for causal structure learning, their practical application in…

Machine Learning · Computer Science 2025-05-20 Mathieu Chevalley , Patrick Schwab , Arash Mehrjou

Explanatory studies, such as randomized controlled trials, are targeted to extract the true causal effect of interventions on outcomes and are by design adjusted for covariates through randomization. On the contrary, observational studies…

Methodology · Statistics 2022-05-02 Riddhiman Adib , Sheikh Iqbal Ahamed , Mohammad Adibuzzaman

Much of our experiments are designed to uncover the cause(s) and effect(s) behind a data generating mechanism (i.e., phenomenon) we happen to be interested in. Uncovering such relationships allows us to identify the true working of a…

Machine Learning · Computer Science 2023-07-11 M. Z. Naser