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Causal inference is widely used in various fields, such as biology, psychology and economics, etc. In observational studies, we need to balance the covariates before estimating causal effect. This study extends the one-dimensional entropy…

Methodology · Statistics 2022-05-19 Juan Chen , Yingchun Zhou

Estimating the causal effect of an exposure on an outcome is an important task in many economical and biological studies. Mendelian randomization, in particular, uses genetic variants as instruments to estimate causal effects in…

Methodology · Statistics 2017-06-06 Sai Li

The causal assumptions, the study design and the data are the elements required for scientific inference in empirical research. The research is adequately communicated only if all of these elements and their relations are described…

Methodology · Statistics 2015-05-01 Juha Karvanen

This paper develops a Bayesian framework for robust causal inference from longitudinal observational data. Many contemporary methods rely on structural assumptions, such as factor models, to adjust for unobserved confounding, but they can…

Methodology · Statistics 2025-11-20 Angelos Alexopoulos , Nikolaos Demiris

How do we learn from biased data? Historical datasets often reflect historical prejudices; sensitive or protected attributes may affect the observed treatments and outcomes. Classification algorithms tasked with predicting outcomes…

Machine Learning · Computer Science 2018-12-04 David Madras , Elliot Creager , Toniann Pitassi , Richard Zemel

Causal inference, estimating causal effects from observational data, is a fundamental tool in many disciplines. Of particular importance across a variety of domains is the continuous treatment setting, where the variable of intervention has…

Machine Learning · Computer Science 2026-05-15 Christopher Stith , Medha Barath , Vahid Balazadeh , Jesse C. Cresswell , Rahul G. Krishnan

Clinical trials often evaluate multiple outcome variables to form a comprehensive picture of the effects of a new treatment. The resulting multidimensional insight contributes to clinically relevant and efficient decision-making about…

Methodology · Statistics 2023-08-14 X. M. Kavelaars , J. Mulder , M. C. Kaptein

A probabilistic expert system emulates the decision-making ability of a human expert through a directional graphical model. The first step in building such systems is to understand data generation mechanism. To this end, one may try to…

Methodology · Statistics 2021-09-29 Vahid Partovi Nia , Xinlin Li , Masoud Asgharian , Shoubo Hu , Zhitang Chen , Yanhui Geng

Increasingly complex applications involve large datasets in combination with non-linear and high dimensional mathematical models. In this context, statistical inference is a challenging issue that calls for pragmatic approaches that take…

Data Analysis, Statistics and Probability · Physics 2013-01-31 Andreas Raue , Clemens Kreutz , Fabian Joachim Theis , Jens Timmer

Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

Methodology · Statistics 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

This manuscript unites causal inference and spatial statistics, presenting novel insights for causal inference in spatial data analysis, and drawing from tools in spatial statistics to estimate causal effects. We introduce spatial causal…

Methodology · Statistics 2026-02-17 Georgia Papadogeorgou , Srijata Samanta

In this survey we discuss the recent causal panel data literature. This recent literature has focused on credibly estimating causal effects of binary interventions in settings with longitudinal data, emphasizing practical advice for…

Econometrics · Economics 2024-06-26 Dmitry Arkhangelsky , Guido Imbens

Inferring the causal direction between two variables from their observation data is one of the most fundamental and challenging topics in data science. A causal direction inference algorithm maps the observation data into a binary value…

Machine Learning · Computer Science 2020-06-08 Yulai Zhang , Jiachen Wang , Gang Cen , Guiming Luo

Hierarchical model fitting has become commonplace for case-control studies of cognition and behaviour in mental health. However, these techniques require us to formalise assumptions about the data-generating process at the group level,…

Computers and Society · Computer Science 2020-11-04 Vincent Valton , Toby Wise , Oliver J. Robinson

Record linkage (de-duplication or entity resolution) is the process of merging noisy databases to remove duplicate entities. While record linkage removes duplicate entities from such databases, the downstream task is any inferential,…

Methodology · Statistics 2018-10-12 Rebecca C. Steorts , Andrea Tancredi , Brunero Liseo

Inferring the causal structure of a system typically requires interventional data, rather than just observational data. Since interventional experiments can be costly, it is preferable to select interventions that yield the maximum amount…

Methodology · Statistics 2021-03-30 Michele Zemplenyi , Jeffrey W. Miller

We propose a general method to carry out a valid Bayesian analysis of a finite-dimensional `targeted' parameter in the presence of a finite-dimensional nuisance parameter. We apply our methods to causal inference based on estimating…

Methodology · Statistics 2026-02-03 Magid Sabbagh , David A. Stephens

In this paper we study the problems of estimating heterogeneity in causal effects in experimental or observational studies and conducting inference about the magnitude of the differences in treatment effects across subsets of the…

Machine Learning · Statistics 2022-06-08 Susan Athey , Guido Imbens

Quantifying causal effects of exposures on outcomes, such as a treatment and a disease respectively, is a crucial issue in medical science for the administration of effective therapies. Importantly, any related causal analysis should…

Methodology · Statistics 2024-09-04 Federico Castelletti , Laura Ferrini

This paper frames causal structure estimation as a machine learning task. The idea is to treat indicators of causal relationships between variables as `labels' and to exploit available data on the variables of interest to provide features…

Machine Learning · Statistics 2019-10-17 Steven M. Hill , Chris. J. Oates , Duncan A. Blythe , Sach Mukherjee