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The goal of causal representation learning is to find a representation of data that consists of causally related latent variables. We consider a setup where one has access to data from multiple domains that potentially share a causal…

Machine Learning · Statistics 2023-10-30 Nils Sturma , Chandler Squires , Mathias Drton , Caroline Uhler

Computational analysis of time-course data with an underlying causal structure is needed in a variety of domains, including neural spike trains, stock price movements, and gene expression levels. However, it can be challenging to determine…

Artificial Intelligence · Computer Science 2012-05-14 Samantha Kleinberg , Bud Mishra

We consider the problem of learning a set of direct causes of a target variable from an observational joint distribution. Learning directed acyclic graphs (DAGs) that represent the causal structure is a fundamental problem in science.…

Methodology · Statistics 2025-06-24 Juraj Bodik , Valérie Chavez-Demoulin

Uncovering causal relationships in data is a major objective of data analytics. Causal relationships are normally discovered with designed experiments, e.g. randomised controlled trials, which, however are expensive or infeasible to be…

Artificial Intelligence · Computer Science 2016-11-01 Jiuyong Li , Saisai Ma , Thuc Duy Le , Lin Liu , Jixue Liu

Causality plays an important role in understanding intelligent behavior, and there is a wealth of literature on mathematical models for causality, most of which is focused on causal graphs. Causal graphs are a powerful tool for a wide range…

Artificial Intelligence · Computer Science 2024-12-23 Scott Garrabrant , Matthias Georg Mayer , Magdalena Wache , Leon Lang , Sam Eisenstat , Holger Dell

We study the problem of learning the causal relationships between a set of observed variables in the presence of latents, while minimizing the cost of interventions on the observed variables. We assume access to an undirected graph $G$ on…

Data Structures and Algorithms · Computer Science 2020-12-29 Raghavendra Addanki , Andrew McGregor , Cameron Musco

We consider linear structural equation models with explicitly modelled latent variables. In such models, observed and latent variables solve linear equations including stochastic noise terms. The goal of our work is to identify the direct…

Methodology · Statistics 2026-05-28 Tom Hochsprung , Nils Sturma , Jakob Runge , Mathias Drton , Andreas Gerhardus

Understanding causal mechanisms is crucial for explaining and generalizing empirical phenomena. Causal mediation analysis offers statistical techniques to quantify the mediation effects. Although numerous methods have been developed for…

Methodology · Statistics 2026-05-12 Jiawei Fu

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

Causal reasoning has gained great attention over the last half century as it allows (or at least intends) to answer questions which go above those within the capabilities of classical inferential statistics using just observational data. So…

Statistics Theory · Mathematics 2025-01-23 Ignacio González-Pérez

Through recognizing causal subgraphs, causal graph learning (CGL) has risen to be a promising approach for improving the generalizability of graph neural networks under out-of-distribution (OOD) scenarios. However, the empirical successes…

Machine Learning · Computer Science 2025-07-02 Yujia Yin , Tianyi Qu , Zihao Wang , Yifan Chen

This paper studies the causal representation learning problem when the latent causal variables are observed indirectly through an unknown linear transformation. The objectives are: (i) recovering the unknown linear transformation (up to…

Machine Learning · Statistics 2023-05-02 Burak Varici , Emre Acarturk , Karthikeyan Shanmugam , Abhishek Kumar , Ali Tajer

Many methods for causal inference generate directed acyclic graphs (DAGs) that formalize causal relations between $n$ variables. Given the joint distribution on all these variables, the DAG contains all information about how intervening on…

Statistics Theory · Mathematics 2014-01-29 Dominik Janzing , David Balduzzi , Moritz Grosse-Wentrup , Bernhard Schölkopf

Causal variables in Markov boundary (MB) have been widely applied in extensive single-label tasks. While few researches focus on the causal variable discovery in multi-label data due to the complex causal relationships. Since some variables…

Machine Learning · Computer Science 2020-11-10 Xingyu Wu , Bingbing Jiang , Yan Zhong , Huanhuan Chen

We develop terminology and methods for working with maximally oriented partially directed acyclic graphs (maximal PDAGs). Maximal PDAGs arise from imposing restrictions on a Markov equivalence class of directed acyclic graphs, or…

Statistics Theory · Mathematics 2018-06-20 Emilija Perković , Markus Kalisch , Maloes H. Maathuis

Causal structure learning with data from multiple contexts carries both opportunities and challenges. Opportunities arise from considering shared and context-specific causal graphs enabling to generalize and transfer causal knowledge across…

Machine Learning · Computer Science 2024-10-29 Martin Rabel , Wiebke Günther , Jakob Runge , Andreas Gerhardus

We present a domain-general account of causation that applies to settings in which macro-level causal relations between two systems are of interest, but the relevant causal features are poorly understood and have to be aggregated from vast…

Machine Learning · Statistics 2015-12-29 Krzysztof Chalupka , Pietro Perona , Frederick Eberhardt

Coupled dynamical systems are frequently observed in nature, but often not well understood in terms of their causal structure without additional domain knowledge about the system. Especially when analyzing observational time series data of…

Machine Learning · Statistics 2021-10-26 Will Glad , Thomas Woolf

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

The standard approach to answering an identifiable causal-effect query (e.g., $P(Y|do(X)$) when given a causal diagram and observational data is to first generate an estimand, or probabilistic expression over the observable variables, which…

Artificial Intelligence · Computer Science 2024-08-28 Anna Raichev , Alexander Ihler , Jin Tian , Rina Dechter
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