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Related papers: A First Course in Causal Inference

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These lecture notes develop the theory of learning in deep and recurrent neuronal networks from the point of view of Bayesian inference. The aim is to enable the reader to understand typical computations found in the literature in this…

Disordered Systems and Neural Networks · Physics 2026-02-16 Moritz Helias , Javed Lindner , Lars Schutzeichel , Zohar Ringel

Reasoning about fairness through correlation-based notions is rife with pitfalls. The 1973 University of California, Berkeley graduate school admissions case from Bickel et. al. (1975) is a classic example of one such pitfall, namely…

Methodology · Statistics 2025-09-25 Sourbh Bhadane , Joris M. Mooij , Philip Boeken , Onno Zoeter

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

These are lecture notes that arose from a representation theory course given by the first author to the remaining six authors in March 2004 within the framework of the Clay Mathematics Institute Research Academy for high school students,…

Representation Theory · Mathematics 2011-02-02 Pavel Etingof , Oleg Golberg , Sebastian Hensel , Tiankai Liu , Alex Schwendner , Dmitry Vaintrob , Elena Yudovina

Lecture notes for an introductory course in elementary particles.

Physics Education · Physics 2015-03-13 Luis Anchordoqui , Francis Halzen

We study Bayesian approaches to causal inference via propensity score regression. Much of the Bayesian literature on propensity score methods have relied on approaches that cannot be viewed as fully Bayesian in the context of conventional…

Scientific discovery catalyzes human intellectual advances, driven by the cycle of hypothesis generation, experimental design, evaluation, and assumption refinement. Central to this process is causal inference, uncovering the mechanisms…

Machine Learning · Computer Science 2025-09-26 Ivaxi Sheth , Sahar Abdelnabi , Mario Fritz

These are lecture notes on causal set theory prepared in Jan. 2002 for a Summer School in Valdivia, Chile. In some places, they are more complete, in others much less so, regrettably. An extensive set of references and a glossary of terms…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rafael D. Sorkin

The aim of these notes is to provide a succinct, accessible introduction to some of the basic ideas of category theory and categorical logic. The notes are based on a lecture course given at Oxford over the past few years. They contain…

Category Theory · Mathematics 2015-05-27 Samson Abramsky , Nikos Tzevelekos

We study causal inference under case-control and case-population sampling. Specifically, we focus on the binary-outcome and binary-treatment case, where the parameters of interest are causal relative and attributable risks defined via the…

Econometrics · Economics 2023-10-24 Sung Jae Jun , Sokbae Lee

We develop methodology for causal inference in observational studies when using propensity score subclassification on data constructed with probabilistic record linkage techniques. We focus on scenarios where covariates and binary treatment…

Methodology · Statistics 2018-04-03 Joan Heck Wortman , Jerome P. Reiter

Recommender systems are important and powerful tools for various personalized services. Traditionally, these systems use data mining and machine learning techniques to make recommendations based on correlations found in the data. However,…

Information Retrieval · Computer Science 2023-01-11 Shuyuan Xu , Jianchao Ji , Yunqi Li , Yingqiang Ge , Juntao Tan , Yongfeng Zhang

Background: Causal relations in natural language (NL) requirements convey strong, semantic information. Automatically extracting such causal information enables multiple use cases, such as test case generation, but it also requires to…

Software Engineering · Computer Science 2022-01-21 Julian Frattini , Jannik Fischbach , Daniel Mendez , Michael Unterkalmsteiner , Andreas Vogelsang , Krzystof Wnuk

These are lecture notes for a one semester introductory course I gave at Indiana University. The goal was to make this exposition as clear and elementary as possible. A particular emphasis is given on examples involving SU(1,1). These notes…

Representation Theory · Mathematics 2021-09-13 Matvei Libine

Causal Inference plays an significant role in explaining the decisions taken by statistical models and artificial intelligence models. Of late, this field started attracting the attention of researchers and practitioners alike. This paper…

Artificial Intelligence · Computer Science 2023-08-01 Satyam Kumar , Yelleti Vivek , Vadlamani Ravi , Indranil Bose

Causal inference from observational data requires assumptions. These assumptions range from measuring confounders to identifying instruments. Traditionally, causal inference assumptions have focused on estimation of effects for a single…

Machine Learning · Statistics 2019-03-04 Rajesh Ranganath , Adler Perotte

In longitudinal studies where units are embedded in space or a social network, interference may arise, meaning that a unit's outcome can depend on treatment histories of others. The presence of interference poses significant challenges for…

Methodology · Statistics 2025-08-26 Ye Wang , Michael Jetsupphasuk

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

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

To discover new drugs is to seek and to prove causality. As an emerging approach leveraging human knowledge and creativity, data, and machine intelligence, causal inference holds the promise of reducing cognitive bias and improving decision…

Quantitative Methods · Quantitative Biology 2025-04-09 Tom Michoel , Jitao David Zhang