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Unobserved confounding is one of the main challenges when estimating causal effects. We propose a causal reduction method that, given a causal model, replaces an arbitrary number of possibly high-dimensional latent confounders with a single…

Machine Learning · Statistics 2023-02-24 Maximilian Ilse , Patrick Forré , Max Welling , Joris M. Mooij

Causal discovery aims to learn causal relationships between variables from targeted data, making it a fundamental task in machine learning. However, causal discovery algorithms often rely on unverifiable causal assumptions, which are…

Machine Learning · Computer Science 2025-10-15 Huiyang Yi , Yanyan He , Duxin Chen , Mingyu Kang , He Wang , Wenwu Yu

In this paper, we propose causality as a unified framework to explain query answers and non-answers, thus generalizing and extending several previously proposed approaches of provenance and missing query result explanations. We develop our…

Databases · Computer Science 2009-12-31 Alexandra Meliou , Wolfgang Gatterbauer , Katherine F. Moore , Dan Suciu

Recurrent events, including cardiovascular events, are commonly observed in biomedical studies. Researchers must understand the effects of various treatments on recurrent events and investigate the underlying mediation mechanisms by which…

Methodology · Statistics 2025-07-08 Yan-Lin Chen , Yan-Hong Chen , Pei-Fang Su , Huang-Tz Ou , An-Shun Tai

Causality lies at the heart of scientific inquiry, serving as the fundamental basis for understanding interactions among variables in physical systems. Despite its central role, current methods for causal inference face significant…

Data Analysis, Statistics and Probability · Physics 2025-05-19 Álvaro Martínez-Sánchez , Gonzalo Arranz , Adrián Lozano-Durán

To evaluate a single cause of a binary effect, Dawid et al. (2014) defined the probability of causation, while Pearl (2015) defined the probabilities of necessity and sufficiency. For assessing the multiple correlated causes of a binary…

Methodology · Statistics 2024-04-09 Shanshan Luo , Yixuan Yu , Chunchen Liu , Feng Xie , Zhi Geng

Identifying causal effects is a key problem of interest across many disciplines. The two long-standing approaches to estimate causal effects are observational and experimental (randomized) studies. Observational studies can suffer from…

Machine Learning · Computer Science 2024-07-09 Sepehr Elahi , Sina Akbari , Jalal Etesami , Negar Kiyavash , Patrick Thiran

The paper studies a probabilistic notion of causes in Markov chains that relies on the counterfactuality principle and the probability-raising property. This notion is motivated by the use of causes for monitoring purposes where the aim is…

Logic in Computer Science · Computer Science 2021-07-09 Christel Baier , Florian Funke , Simon Jantsch , Jakob Piribauer , Robin Ziemek

A causal claim is any assertion that invokes causal relationships between variables, for example that a drug has a certain effect on preventing a disease. Causal claims are established through a combination of data and a set of causal…

Artificial Intelligence · Computer Science 2012-07-19 Judea Pearl

Beneficial to advanced computing devices, models with massive parameters are increasingly employed to extract more information to enhance the precision in describing and predicting the patterns of objective systems. This phenomenon is…

Information Theory · Computer Science 2024-03-08 Liye Jia , Fengyufan Yang , Ka Lok Man , Erick Purwanto , Sheng-Uei Guan , Jeremy Smith , Yutao Yue

In view of the growing complexity of modern software architectures, formal models are increasingly used to understand why a system works the way it does, opposed to simply verifying that it behaves as intended. This paper surveys approaches…

Logic in Computer Science · Computer Science 2021-05-21 Christel Baier , Clemens Dubslaff , Florian Funke , Simon Jantsch , Rupak Majumdar , Jakob Piribauer , Robin Ziemek

Estimating causal effects is particularly challenging when outcomes arise in complex, non-Euclidean spaces, where conventional methods often fail to capture meaningful structural variation. We develop a framework for topological causal…

Methodology · Statistics 2026-03-04 Kwangho Kim , Hajin Lee

Causality is omnipresent in scientists' verbalisations of their understanding, even though we have no formal consensual scientific definition for it. In Automata Networks, it suffices to say that automata "influence" one another to…

Other Computer Science · Computer Science 2016-10-28 Mathilde Noual

This dissertation focuses on modern causal inference under uncertainty and data restrictions, with applications to neoadjuvant clinical trials, distributed data networks, and robust individualized decision making. In the first project, we…

Methodology · Statistics 2023-01-24 Xiaoqing Tan

One of the key challenges when looking for the causes of a complex event is to determine the causal status of factors that are neither individually necessary nor individually sufficient to produce that event. In order to reason about how…

Artificial Intelligence · Computer Science 2017-10-11 Sjur K Dyrkolbotn

There are many different causal effect estimators in causal inference. However, it is unclear how to choose between these estimators because there is no ground-truth for causal effects. A commonly used option is to simulate synthetic data,…

Machine Learning · Computer Science 2021-03-30 Brady Neal , Chin-Wei Huang , Sunand Raghupathi

Heckerman (1993) defined causal independence in terms of a set of temporal conditional independence statements. These statements formalized certain types of causal interaction where (1) the effect is independent of the order that causes are…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman , John S. Breese

The paper reviews methods that seek to draw causal inference from observational data and demonstrates how they can be applied to empirical problems in engineering research. It presents a framework for causal identification based on the…

Applications · Statistics 2022-11-28 Daniel J Graham

Causality is a non-obvious concept that is often considered to be related to temporality. In this paper we present a number of past and present approaches to the definition of temporality and causality from philosophical, physical, and…

Machine Learning · Computer Science 2010-07-16 Kamran Karimi

Causal models defined in terms of structural equations have proved to be quite a powerful way of representing knowledge regarding causality. However, a number of authors have given examples that seem to show that the Halpern-Pearl (HP)…

Artificial Intelligence · Computer Science 2019-02-20 Joseph Y. Halpern
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