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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

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

In many applications of causal inference, the treatment received by one unit may influence the outcome of another, a phenomenon referred to as interference. Although there are several frameworks for conducting causal inference in the…

Methodology · Statistics 2025-11-27 Matvey Ortyashov , AmirEmad Ghassami

We explore the notion of uncertainty in the context of modern abstractive summarization models, using the tools of Bayesian Deep Learning. Our approach approximates Bayesian inference by first extending state-of-the-art summarization models…

Computation and Language · Computer Science 2022-05-04 Alexios Gidiotis , Grigorios Tsoumakas

We study the problem of identifiability of the total effect of an intervention from observational time series in the situation, common in practice, where one only has access to abstractions of the true causal graph. We consider here two…

Statistics Theory · Mathematics 2025-02-18 Charles K. Assaad , Emilie Devijver , Eric Gaussier , Gregor Gössler , Anouar Meynaoui

To draw scientifically meaningful conclusions and build reliable models of quantitative phenomena, cause and effect must be taken into consideration (either implicitly or explicitly). This is particularly challenging when the measurements…

Machine Learning · Computer Science 2020-12-11 Max A. Little , Reham Badawy

We propose a new definition of actual causes, using structural equations to model counterfactuals.We show that the definitions yield a plausible and elegant account ofcausation that handles well examples which have caused problems forother…

Artificial Intelligence · Computer Science 2013-01-14 Joseph Y. Halpern , Judea Pearl

We present a definition of cause and effect in terms of decision-theoretic primitives and thereby provide a principled foundation for causal reasoning. Our definition departs from the traditional view of causation in that causal assertions…

Artificial Intelligence · Computer Science 2014-11-17 D. Heckerman , R. Shachter

*Concept-based explanations* offer a promising approach for explaining the predictions of deep neural networks in terms of high-level, human-understandable concepts. However, existing methods either do not establish a causal connection…

Machine Learning · Computer Science 2026-05-08 Ronaldo Canizales , Divya Gopinath , Corina Păsăreanu , Ravi Mangal

This paper serves as a starting point for machine learning researchers, engineers and students who are interested in but not yet familiar with causal inference. We start by laying out an important set of assumptions that are collectively…

Machine Learning · Computer Science 2024-08-28 Daniel Jiwoong Im , Kyunghyun Cho

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

Recursive relational specifications are commonly used to describe the computational structure of formal systems. Recent research in proof theory has identified two features that facilitate direct, logic-based reasoning about such…

Logic in Computer Science · Computer Science 2010-09-24 Andrew Gacek , Dale Miller , Gopalan Nadathur

This paper introduces a novel decomposition framework to explain heterogeneity in causal effects observed across different studies, considering both observational and randomized settings. We present a formal decomposition of between-study…

Methodology · Statistics 2025-12-18 Brian Gilbert , Ivan Dıaz , Kara E. Rudolph , Nicholas Williams , Tat-Thang Vo

Causal inference is often portrayed as fundamentally distinct from predictive modeling, with its own terminology, goals, and intellectual challenges. But at its core, causal inference is simply a structured instance of prediction under…

Machine Learning · Computer Science 2025-07-10 Carlos Fernández-Loría

Causal inference is a study of causal relationships between events and the statistical study of inferring these relationships through interventions and other statistical techniques. Causal reasoning is any line of work toward determining…

Software Engineering · Computer Science 2023-04-03 Patrick Chadbourne , Nasir Eisty

We present a precise definition of cause and effect in terms of a fundamental notion called unresponsiveness. Our definition is based on Savage's (1954) formulation of decision theory and departs from the traditional view of causation in…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman , Ross D. Shachter

We propose new definitions of (causal) explanation, using structural equations to model counterfactuals. The definition is based on the notion of actual cause, as defined and motivated in a companion paper. Essentially, an explanation is a…

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern , Judea Pearl

When causal quantities cannot be point identified, researchers often pursue partial identification to quantify the range of possible values. However, the peculiarities of applied research conditions can make this analytically intractable.…

Methodology · Statistics 2021-09-29 Guilherme Duarte , Noam Finkelstein , Dean Knox , Jonathan Mummolo , Ilya Shpitser

We introduce computational causal inference as an interdisciplinary field across causal inference, algorithms design and numerical computing. The field aims to develop software specializing in causal inference that can analyze massive…

Computation · Statistics 2020-07-22 Jeffrey C. Wong

We define robust abstractions for synthesizing provably correct and robust controllers for (possibly infinite) uncertain transition systems. It is shown that robust abstractions are sound in the sense that they preserve robust satisfaction…

Systems and Control · Computer Science 2018-03-06 Jun Liu
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