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We developed a novel approach to identification and model testing in linear structural equation models (SEMs) based on auxiliary variables (AVs), which generalizes a widely-used family of methods known as instrumental variables. The…

Methodology · Statistics 2019-10-09 Bryant Chen , Daniel Kumor , Elias Bareinboim

Causal artificial intelligence aims to enhance explainability, trustworthiness, and robustness in AI by leveraging structural causal models (SCMs). In this pursuit, recent advances formalize network sheaves and cosheaves of causal…

Machine Learning · Computer Science 2026-02-04 Gabriele D'Acunto , Paolo Di Lorenzo , Sergio Barbarossa

Nowadays, the need for causal discovery is ubiquitous. A better understanding of not just the stochastic dependencies between parts of a system, but also the actual cause-effect relations, is essential for all parts of science. Thus, the…

Machine Learning · Computer Science 2024-12-10 Boris Lorbeer , Mustafa Mohsen

It is well-known that if one assumes quantum theory to hold locally, then processes with indefinite causal order and cyclic causal structures become feasible. Here, we study qualitative limitations on causal structures and correlations…

Quantum Physics · Physics 2024-01-09 Eleftherios-Ermis Tselentis , Ämin Baumeler

In a real-life setting, little is known regarding the effectiveness of statins for primary prevention among older adults, and analysis of observational data can add crucial information on the benefits of actual patterns of use. Latent class…

Methodology · Statistics 2023-10-18 Awa Diop , Caroline Sirois , Jason Robert Guertin , Denis Talbot

Despite surpassing human performance across mathematics, coding, and other knowledge-intensive tasks, large language models (LLMs) continue to struggle with causal reasoning. A core obstacle is the target data itself: causal systems are…

Artificial Intelligence · Computer Science 2026-05-12 Nicolás Astorga , Anita Kriz , Mihaela van der Schaar

Perception occurs when individuals interpret the same information differently. It is a known cognitive phenomenon with implications for bias in human decision-making. Perception, however, remains understudied in machine learning (ML). This…

Artificial Intelligence · Computer Science 2025-10-21 Jose M. Alvarez , Salvatore Ruggieri

Marginal structural models (MSMs) are widely used in observational studies to estimate the causal effect of time-varying treatments. Despite its popularity, limited attention has been paid to summarizing the treatment history in the outcome…

Methodology · Statistics 2024-09-18 Jiewen Liu , Todd A. Miano , Stephen Griffiths , Michael G. S. Shashaty , Wei Yang

We study the problem of experimental design for accurately identifying the causal graph structure of a simple structural causal model (SCM), where the underlying graph may include both cycles and bidirected edges induced by latent…

Machine Learning · Statistics 2025-09-03 Haijie Xu , Chen Zhang

Recent advances in artificial intelligence reveal the limits of purely predictive systems and call for a shift toward causal and collaborative reasoning. Drawing inspiration from the revolution of Grothendieck in mathematics, we introduce…

Artificial Intelligence · Computer Science 2025-06-02 Gabriele D'Acunto , Claudio Battiloro

Causal Inference offers a fundamental approach for advancing empirical software engineering (ESE) beyond traditional statistical association, enabling researchers to rigorously identify and quantify causal relationships in software…

Software Engineering · Computer Science 2026-05-28 Daniel Rodriguez-Cardenas , Aya Garryyeva , David Nader Palacio , Antonio Mastropaolo , Denys Poshyvanyk

We develop a criterion to certify whether causal effects are identifiable in linear structural equation models with latent variables. Linear structural equation models correspond to directed graphs whose nodes represent the random variables…

Statistics Theory · Mathematics 2025-07-25 Nils Sturma , Mathias Drton

Practitioners making decisions based on causal effects typically ignore structural uncertainty. We analyze when this uncertainty is consequential enough to warrant methodological solutions (Bayesian model averaging over competing causal…

Machine Learning · Computer Science 2025-08-01 Maurits Kaptein

The aim of this paper is to offer the first systematic exploration and definition of equivalent causal models in the context where both models are not made up of the same variables. The idea is that two models are equivalent when they agree…

Artificial Intelligence · Computer Science 2020-12-11 Sander Beckers

Local causal discovery is of great practical significance, as there are often situations where the discovery of the global causal structure is unnecessary, and the interest lies solely on a single target variable. Most existing local…

Machine Learning · Computer Science 2024-03-25 Haoyue Dai , Ignavier Ng , Yujia Zheng , Zhengqing Gao , Kun Zhang

Causal mediation analysis is routinely conducted by applied researchers in a variety of disciplines. The goal of such an analysis is to investigate alternative causal mechanisms by examining the roles of intermediate variables that lie in…

Methodology · Statistics 2010-11-05 Kosuke Imai , Luke Keele , Teppei Yamamoto

A new class of Marginal Structural Models (MSMs), History-Restricted MSMs (HRMSMs), was recently introduced for longitudinal data for the purpose of defining causal parameters which may often be better suited for public health research or…

Statistics Theory · Mathematics 2009-09-29 Romain Neugebauer , Mark J. van der Laan , Marshall M. Joffe , Ira B. Tager

Causal discovery from observational data is pivotal for deciphering complex relationships. Causal Structure Learning (CSL), which focuses on deriving causal Directed Acyclic Graphs (DAGs) from data, faces challenges due to vast DAG spaces…

Artificial Intelligence · Computer Science 2023-11-21 Taiyu Ban , Lyuzhou Chen , Derui Lyu , Xiangyu Wang , Huanhuan Chen

Much of scientific data is collected as randomized experiments intervening on some and observing other variables of interest. Quite often, a given phenomenon is investigated in several studies, and different sets of variables are involved…

Methodology · Statistics 2012-10-19 Antti Hyttinen , Frederick Eberhardt , Patrik O. Hoyer

An acyclic causal structure can be described with directed acyclic graph (DAG), where arrows indicate the possibility of direct causation. The task of learning this structure from data is known as "causal discovery." Diverse populations or…

Machine Learning · Computer Science 2024-10-17 Bijan Mazaheri , Spencer Gordon , Yuval Rabani , Leonard Schulman