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Bayesian networks, and especially their structures, are powerful tools for representing conditional independencies and dependencies between random variables. In applications where related variables form a priori known groups, chosen to…

Machine Learning · Statistics 2017-06-02 Pekka Parviainen , Samuel Kaski

A structural causal model is made of endogenous (manifest) and exogenous (latent) variables. We show that endogenous observations induce linear constraints on the probabilities of the exogenous variables. This allows to exactly map a causal…

Artificial Intelligence · Computer Science 2020-08-04 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

We give methods for Bayesian inference of directed acyclic graphs, DAGs, and the induced causal effects from passively observed complete data. Our methods build on a recent Markov chain Monte Carlo scheme for learning Bayesian networks,…

Machine Learning · Computer Science 2020-11-19 Jussi Viinikka , Antti Hyttinen , Johan Pensar , Mikko Koivisto

We introduce an approach which allows detecting causal relationships between variables for which the time evolution is available. Causality is assessed by a variational scheme based on the Information Imbalance of distance ranks, a…

Methodology · Statistics 2024-05-07 Vittorio Del Tatto , Gianfranco Fortunato , Domenica Bueti , Alessandro Laio

The correlations that can be observed between a set of variables depend on the causal structure underpinning them. Causal structures can be modeled using directed acyclic graphs, where nodes represent variables and edges denote functional…

Quantum Physics · Physics 2015-01-08 Rafael Chaves , Christian Majenz , David Gross

This paper develops a Bayesian framework for robust causal inference from longitudinal observational data. Many contemporary methods rely on structural assumptions, such as factor models, to adjust for unobserved confounding, but they can…

Methodology · Statistics 2025-11-20 Angelos Alexopoulos , Nikolaos Demiris

To represent the causal relationships between variables, a directed acyclic graph (DAG) is widely utilized in many areas, such as social sciences, epidemics, and genetics. Many causal structure learning approaches are developed to learn the…

Machine Learning · Statistics 2025-01-14 Jianian Wang , Rui Song

Bayesian networks provide a powerful tool for reasoning about probabilistic causation, used in many areas of science. They are, however, intrinsically classical. In particular, Bayesian networks naturally yield the Bell inequalities.…

Quantum Physics · Physics 2014-12-03 Joe Henson , Raymond Lal , Matthew F. Pusey

Causal reasoning is the main learning and explanation tool used by humans. AI systems should possess causal reasoning capabilities to be deployed in the real world with trust and reliability. Introducing the ideas of causality to machine…

Machine Learning · Computer Science 2021-06-11 Abbavaram Gowtham Reddy

Without any assumptions about data generation, multiple causal models may explain our observations equally well. To avoid selecting a single arbitrary model that could result in unsafe decisions if it does not match reality, it is therefore…

Machine Learning · Computer Science 2025-01-13 Tristan Deleu

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…

Inferring cause-effect relationships from observational data has gained significant attention in recent years, but most methods are limited to scalar random variables. In many important domains, including neuroscience, psychology, social…

Machine Learning · Statistics 2025-06-06 Konstantin Göbler , Tobias Windisch , Mathias Drton

Objective: Causality mining is an active research area, which requires the application of state-of-the-art natural language processing techniques. In the healthcare domain, medical experts create clinical text to overcome the limitation of…

In [1] we present an extension of Prime Event Structures by a mechanism to express dynamicity in the causal relation. More precisely we add the possibility that the occurrence of an event can add or remove causal dependencies between events…

Logic in Computer Science · Computer Science 2015-04-03 Youssef Arbach , David Karcher , Kirstin Peters , Uwe Nestmann

This work considers the question of how convenient access to copious data impacts our ability to learn causal effects and relations. In what ways is learning causality in the era of big data different from -- or the same as -- the…

Artificial Intelligence · Computer Science 2020-05-06 Ruocheng Guo , Lu Cheng , Jundong Li , P. Richard Hahn , Huan Liu

The science of causality explains/determines 'cause-effect' relationship between the entities of a system by providing mathematical tools for the purpose. In spite of all the success and widespread applications of machine-learning (ML)…

Machine Learning · Computer Science 2021-12-07 Aditi Kathpalia , Keerti P. Charantimath , Nithin Nagaraj

Causal processes in biomedicine may contain cycles, evolve over time or differ between populations. However, many graphical models cannot accommodate these conditions. We propose to model causation using a mixture of directed cyclic graphs…

Machine Learning · Statistics 2020-09-08 Eric V. Strobl

Inferring the potential consequences of an unobserved event is a fundamental scientific question. To this end, Pearl's celebrated do-calculus provides a set of inference rules to derive an interventional probability from an observational…

Discrete Mathematics · Computer Science 2021-08-10 Benjamin Heymann , Michel de Lara , Jean-Philippe Chancelier

Causal and attribution studies are essential for earth scientific discoveries and critical for informing climate, ecology, and water policies. However, the current generation of methods needs to keep pace with the complexity of scientific…

Applications · Statistics 2022-09-27 Elizabeth Eldhose , Tejasvi Chauhan , Vikram Chandel , Subimal Ghosh , Auroop R. Ganguly

Machine learning is the science of discovering statistical dependencies in data, and the use of those dependencies to perform predictions. During the last decade, machine learning has made spectacular progress, surpassing human performance…

Machine Learning · Statistics 2016-07-13 David Lopez-Paz
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