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The relationship between statistical dependency and causality lies at the heart of all statistical approaches to causal inference. Recent results in the ChaLearn cause-effect pair challenge have shown that causal directionality can be…

Machine Learning · Computer Science 2014-12-22 Gianluca Bontempi , Maxime Flauder

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

In many fields of scientific research and real-world applications, unbiased estimation of causal effects from non-experimental data is crucial for understanding the mechanism underlying the data and for decision-making on effective…

Artificial Intelligence · Computer Science 2023-12-05 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu , Thuc Duy Le

This paper discusses the fundamental principles of causal inference - the area of statistics that estimates the effect of specific occurrences, treatments, interventions, and exposures on a given outcome from experimental and observational…

Methodology · Statistics 2021-12-03 Francesca Dominici , Falco J. Bargagli-Stoffi , Fabrizia Mealli

Causal inference is a critical research topic across many domains, such as statistics, computer science, education, public policy and economics, for decades. Nowadays, estimating causal effect from observational data has become an appealing…

Methodology · Statistics 2020-02-10 Liuyi Yao , Zhixuan Chu , Sheng Li , Yaliang Li , Jing Gao , Aidong Zhang

A probabilistic model describes a system in its observational state. In many situations, however, we are interested in the system's response under interventions. The class of structural causal models provides a language that allows us to…

Methodology · Statistics 2020-01-20 Jonas Peters , Stefan Bauer , Niklas Pfister

The standard approach to answering an identifiable causal-effect query (e.g., $P(Y|do(X)$) when given a causal diagram and observational data is to first generate an estimand, or probabilistic expression over the observable variables, which…

Artificial Intelligence · Computer Science 2024-08-28 Anna Raichev , Alexander Ihler , Jin Tian , Rina Dechter

We show that it is possible to understand and identify a decision maker's subjective causal judgements by observing her preferences over interventions. Following Pearl [2000], we represent causality using causal models (also called…

Theoretical Economics · Economics 2024-01-23 Joseph Y. Halpern , Evan Piermont

Causal inference is a statistical paradigm for quantifying causal effects using observational data. It is a complex process, requiring multiple steps, iterations, and collaborations with domain experts. Analysts often rely on visualizations…

Human-Computer Interaction · Computer Science 2023-03-02 Grace Guo , Ehud Karavani , Alex Endert , Bum Chul Kwon

While correlation measures are used to discern statistical relationships between observed variables in almost all branches of data-driven scientific inquiry, what we are really interested in is the existence of causal dependence. Designing…

Machine Learning · Computer Science 2014-06-26 Ishanu Chattopadhyay

One of the most fundamental problems in causal inference is the estimation of a causal effect when variables are confounded. This is difficult in an observational study, because one has no direct evidence that all confounders have been…

Machine Learning · Statistics 2014-11-03 Ricardo Silva , Robin Evans

Causal knowledge is vital for effective reasoning in science, as causal relations, unlike correlations, allow one to reason about the outcomes of interventions. Algorithms that can discover causal relations from observational data are based…

Machine Learning · Statistics 2019-11-12 Anish Dhir , Ciarán M. Lee

Causal reasoning has been an indispensable capability for humans and other intelligent animals to interact with the physical world. In this work, we propose to endow an artificial agent with the capability of causal reasoning for completing…

Machine Learning · Computer Science 2019-10-07 Suraj Nair , Yuke Zhu , Silvio Savarese , Li Fei-Fei

We provide a conceptual map to navigate causal analysis problems. Focusing on the case of discrete random variables, we consider the case of causal effect estimation from observational data. The presented approaches apply also to continuous…

Machine Learning · Computer Science 2018-06-06 Finnian Lattimore , Cheng Soon Ong

Causal discovery from data affected by unobserved variables is an important but difficult problem to solve. The effects that unobserved variables have on the relationships between observed variables are more complex in nonlinear cases than…

Machine Learning · Computer Science 2021-06-07 Takashi Nicholas Maeda , Shohei Shimizu

Algorithms for constraint-based causal discovery select graphical causal models among a space of possible candidates (e.g., all directed acyclic graphs) by executing a sequence of conditional independence tests. These may be used to inform…

Methodology · Statistics 2025-09-19 Ting-Hsuan Chang , Zijian Guo , Daniel Malinsky

Causal learning is a beneficial approach to analyze the cause and effect relationships among variables in a dataset. A causal graph can be generated from a dataset using a particular causal algorithm, for instance, the PC algorithm or Fast…

Machine Learning · Computer Science 2019-10-09 Teny Handhayani , James Cussens

This paper studies the problem of estimating the contributions of features to the prediction of a specific instance by a machine learning model and the overall contribution of a feature to the model. The causal effect of a feature…

Machine Learning · Computer Science 2022-06-24 Jiuyong Li , Ha Xuan Tran , Thuc Duy Le , Lin Liu , Kui Yu , Jixue Liu

Organizations increasingly rely on predictive models to decide who should be targeted for interventions, such as marketing campaigns, customer retention offers, or medical treatments. Yet these models are usually built to predict outcomes…

Machine Learning · Statistics 2025-10-24 Carlos Fernández-Loría , Yanfang Hou , Foster Provost , Jennifer Hill

This tutorial provides a concise introduction to modern causal modeling by integrating potential outcomes and graphical methods. We motivate causal questions such as counterfactual reasoning under interventions and define binary treatments…

Methodology · Statistics 2025-06-27 Gauranga Kumar Baishya
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