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Statistical science (as opposed to mathematical statistics) involves far more than probability theory, for it requires realistic causal models of data generators - even for purely descriptive goals. Statistical decision theory requires more…

Other Statistics · Statistics 2022-06-02 Sander Greenland

Causality and causal inference have emerged as core research areas at the interface of modern statistics and domains including biomedical sciences, social sciences, computer science, and beyond. The field's inherently interdisciplinary…

Methodology · Statistics 2025-08-26 Carlos Cinelli , Avi Feller , Guido Imbens , Edward Kennedy , Sara Magliacane , Jose Zubizarreta

A data science task can be deemed as making sense of the data or testing a hypothesis about it. The conclusions inferred from data can greatly guide us to make informative decisions. Big data has enabled us to carry out countless prediction…

Machine Learning · Computer Science 2022-01-12 Wenhao Zhang , Ramin Ramezani , Arash Naeim

Determining and measuring cause-effect relationships is fundamental to most scientific studies of natural phenomena. The notion of causation is distinctly different from correlation which only looks at association of trends or patterns in…

Methodology · Statistics 2019-10-22 Aditi Kathpalia , Nithin Nagaraj

Causality has become a fundamental approach for explaining the relationships between events, phenomena, and outcomes in various fields of study. It has invaded various fields and applications, such as medicine, healthcare, economics,…

Artificial Intelligence · Computer Science 2024-03-19 Abraham Itzhak Weinberg , Cristiano Premebida , Diego Resende Faria

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

Causality is a subject of philosophical debate and a central scientific issue with a long history. In the statistical domain, the study of cause and effect based on the notion of `fairness' in comparisons dates back several hundred years,…

Other Statistics · Statistics 2022-04-06 Erica EM Moodie , David A Stephens

There is growing interest in the study of causal methods in the Earth sciences. However, most applications have focused on causal discovery, i.e. inferring the causal relationships and causal structure from data. This paper instead examines…

Atmospheric and Oceanic Physics · Physics 2021-05-04 Adam Massmann , Pierre Gentine , Jakob Runge

Much of our experiments are designed to uncover the cause(s) and effect(s) behind a data generating mechanism (i.e., phenomenon) we happen to be interested in. Uncovering such relationships allows us to identify the true working of a…

Machine Learning · Computer Science 2023-07-11 M. Z. Naser

This survey paper covers the breadth and depth of time-series and spatiotemporal causality methods, and their applications in Earth Science. More specifically, the paper presents an overview of causal discovery and causal inference,…

Data Analysis, Statistics and Probability · Physics 2024-09-04 Sahara Ali , Uzma Hasan , Xingyan Li , Omar Faruque , Akila Sampath , Yiyi Huang , Md Osman Gani , Jianwu Wang

Deep Learning models have shown success in a large variety of tasks by extracting correlation patterns from high-dimensional data but still struggle when generalizing out of their initial distribution. As causal engines aim to learn…

Machine Learning · Computer Science 2024-01-02 Gaël Gendron , Michael Witbrock , Gillian Dobbie

In this article, the notion of a mathematical model in science is attempted to be enlightened from several points of view. In particular, it is shown that mathematical models are introduced differently and used differently in different…

History and Overview · Mathematics 2022-05-25 Inge S. Helland

Physics is a field of science that has traditionally used the scientific method to answer questions about why natural phenomena occur and to make testable models that explain the phenomena. Discovering equations, laws and principles that…

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 describe and contrast two distinct problem areas for statistical causality: studying the likely effects of an intervention ("effects of causes"), and studying whether there is a causal link between the observed exposure and outcome in an…

Statistics Theory · Mathematics 2021-04-02 A. Philip Dawid , Monica Musio

We present an overview of the decision-theoretic framework of statistical causality, which is well-suited for formulating and solving problems of determining the effects of applied causes. The approach is described in detail, and is related…

Statistics Theory · Mathematics 2020-04-28 A. Philip Dawid

Simulation methods are among the most ubiquitous methodological tools in statistical science. In particular, statisticians often is simulation to explore properties of statistical functionals in models for which developed statistical theory…

Methodology · Statistics 2023-08-22 Tyrel Stokes , Ian Shrier , Russell Steele

Causality is a fundamental part of the scientific endeavour to understand the world. Unfortunately, causality is still taboo in much of psychology and social science. Motivated by a growing number of recommendations for the importance of…

Methodology · Statistics 2022-06-27 Matthew J. Vowels

The notion of causal effect is fundamental across many scientific disciplines. Traditionally, quantitative researchers have studied causal effects at the level of variables; for example, how a certain drug dose (W) causally affects a…

Methodology · Statistics 2026-04-07 Junhyung Park , Yuqing Zhou

From simulating galaxy formation to viral transmission in a pandemic, scientific models play a pivotal role in developing scientific theories and supporting government policy decisions that affect us all. Given these critical applications,…

Software Engineering · Computer Science 2023-07-03 Andrew G. Clark , Michael Foster , Benedikt Prifling , Neil Walkinshaw , Robert M. Hierons , Volker Schmidt , Robert D. Turner
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