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A burgeoning literature in economics studies how people form beliefs about the causal structures linking economic variables, and what happens when those beliefs are mistaken. We survey this research and connect it to a rich literature in…

General Economics · Economics 2026-04-03 Sandro Ambuehl , Rahul Bhui , Heidi C. Thysen

Causal reasoning and compositional reasoning are two core aspirations in AI. Measuring the extent of these behaviors requires principled evaluation methods. We explore a unified perspective that considers both behaviors simultaneously,…

Computation and Language · Computer Science 2025-06-11 Jacqueline R. M. A. Maasch , Alihan Hüyük , Xinnuo Xu , Aditya V. Nori , Javier Gonzalez

Estimating causal quantities traditionally relies on bespoke estimators tailored to specific assumptions. Recently proposed Causal Foundation Models (CFMs) promise a more unified approach by amortising causal discovery and inference in a…

One of the central elements of any causal inference is an object called structural causal model (SCM), which represents a collection of mechanisms and exogenous sources of random variation of the system under investigation (Pearl, 2000). An…

Machine Learning · Computer Science 2022-10-05 Kevin Xia , Kai-Zhan Lee , Yoshua Bengio , Elias Bareinboim

In the fundamental statistics course, students are taught to remember the well-known saying: "Correlation is not Causation". Till now, statistics (i.e., correlation) have developed various successful frameworks, such as Transformer and…

Artificial Intelligence · Computer Science 2023-11-22 Ning Xu , Yifei Gao , Hongshuo Tian , Yongdong Zhang , An-An Liu

The notion of causality assumes a paramount position within the realm of human cognition. Over the past few decades, there has been significant advancement in the domain of causal effect estimation across various disciplines, including but…

Machine Learning · Statistics 2024-05-24 Zongyu Li , Xiaobo Guo , Siwei Qiang

In this work, we deepen on the use of normalizing flows for causal reasoning. Specifically, we first leverage recent results on non-linear ICA to show that causal models are identifiable from observational data given a causal ordering, and…

Machine Learning · Computer Science 2023-12-11 Adrián Javaloy , Pablo Sánchez-Martín , Isabel Valera

The mainstream of data-driven abstractive summarization models tends to explore the correlations rather than the causal relationships. Among such correlations, there can be spurious ones which suffer from the language prior learned from the…

Computation and Language · Computer Science 2023-08-25 Lu Chen , Ruqing Zhang , Wei Huang , Wei Chen , Jiafeng Guo , Xueqi Cheng

Causal discovery algorithms aim at untangling complex causal relationships from data. Here, we study causal discovery and inference methods based on staged tree models, which can represent complex and asymmetric causal relationships between…

Methodology · Statistics 2023-03-02 Manuele Leonelli , Gherardo Varando

Dynamical systems are widely used in science and engineering to model systems consisting of several interacting components. Often, they can be given a causal interpretation in the sense that they not only model the evolution of the states…

Artificial Intelligence · Computer Science 2022-03-29 Stephan Bongers , Tineke Blom , Joris M. Mooij

Identifying the effect of a treatment from observational data typically requires assuming a fully specified causal diagram. However, such diagrams are rarely known in practice, especially in complex or high-dimensional settings. To overcome…

Artificial Intelligence · Computer Science 2025-07-09 Clément Yvernes , Emilie Devijver , Marianne Clausel , Eric Gaussier

We describe the interface between measure theoretic probability and causal inference by constructing causal models on probability spaces within the potential outcomes framework. We find that measure theory provides a precise and instructive…

Statistics Theory · Mathematics 2019-07-04 Irineo Cabreros , John D. Storey

We give a category-theoretic treatment of causal models that formalizes the syntax for causal reasoning over a directed acyclic graph (DAG) by associating a free Markov category with the DAG in a canonical way. This framework enables us to…

Artificial Intelligence · Computer Science 2022-04-12 Yimu Yin , Jiji Zhang

This work establishes a robust mathematical foundation for compositional System Dynamics modeling, leveraging category theory to formalize and enhance the representation, analysis, and composition of system models. Here, System Dynamics…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Xiaoyan Li , Evan Patterson , Patricia L. Mabry , Nathaniel D. Osgood

Causal and counterfactual reasoning are emerging directions in data science that allow us to reason about hypothetical scenarios. This is particularly useful in fields like environmental and ecological sciences, where interventional data…

Artificial Intelligence · Computer Science 2024-12-06 Rafael Cabañas , Ana D. Maldonado , María Morales , Pedro A. Aguilera , Antonio Salmerón

Causal models capture cause-effect relations both qualitatively - via the graphical causal structure - and quantitatively - via the model parameters. They offer a powerful framework for analyzing and constructing processes. Here, we…

Quantum Physics · Physics 2025-12-02 Ämin Baumeler , Stefan Wolf

Causal inference with observational data critically relies on untestable and extra-statistical assumptions that have (sometimes) testable implications. Well-known sets of assumptions that are sufficient to justify the causal interpretation…

Methodology · Statistics 2024-02-20 Pablo Geraldo Bastías

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

Methodology · Statistics 2024-02-14 David Strieder , Mathias Drton

Causal world models are systems that can answer counterfactual questions about an environment of interest, i.e. predict how it would have evolved if an arbitrary subset of events had been realized differently. It requires understanding the…

Artificial Intelligence · Computer Science 2025-05-21 Gaël Gendron , Jože M. Rožanec , Michael Witbrock , Gillian Dobbie

Interventional causal models describe several joint distributions over some variables used to describe a system, one for each intervention setting. They provide a formal recipe for how to move between the different joint distributions and…

Machine Learning · Statistics 2021-08-06 Eigil F. Rischel , Sebastian Weichwald