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The method of model averaging has become an important tool to deal with model uncertainty, for example in situations where a large amount of different theories exist, as are common in economics. Model averaging is a natural and formal…

Applications · Statistics 2019-02-05 Mark F. J. Steel

Gradient boosting machines (GBMs) based on decision trees consistently demonstrate state-of-the-art results on regression and classification tasks with tabular data, often outperforming deep neural networks. However, these models do not…

Machine Learning · Computer Science 2023-02-23 Tristan Cinquin , Tammo Rukat , Philipp Schmidt , Martin Wistuba , Artur Bekasov

Mendelian randomization (MR) is an instrumental variable (IV) approach to infer causal relationships between exposures and outcomes with genome-wide association studies (GWAS) summary data. However, the multivariable inverse-variance…

Methodology · Statistics 2024-02-13 Yihe Yang , Noah Lorincz-Comi , Xiaofeng Zhu

Spurred on by recent successes in causal inference competitions, Bayesian nonparametric (and high-dimensional) methods have recently seen increased attention in the causal inference literature. In this paper, we present a comprehensive…

Methodology · Statistics 2022-01-11 Antonio R. Linero , Joseph L. Antonelli

Instrumental variable (IV) methods allow us the opportunity to address unmeasured confounding in causal inference. However, most IV methods are only applicable to discrete or continuous outcomes with very few IV methods for censored…

Methodology · Statistics 2020-09-30 Youjin Lee , Edward H. Kennedy , Nandita Mitra

The technique of data augmentation (DA) is often used in machine learning for regularization purposes to better generalize under i.i.d. settings. In this work, we present a unifying framework with topics in causal inference to make a case…

Machine Learning · Computer Science 2026-02-02 Uzair Akbar , Niki Kilbertus , Hao Shen , Krikamol Muandet , Bo Dai

Gaussian process (GP) covariance function is proposed as a matching tool in GPMatch within a full Bayesian framework under relatively weaker causal assumptions. The matching is accomplished by utilizing GP prior covariance function to…

Methodology · Statistics 2019-03-18 Bin Huang , Chen Chen , Jinzhong Liu

Accidental damage is a typical component of motor insurance claim. Modeling of this nature generally involves analysis of past claim history and different characteristics of the insured objects and the policyholders. Generalized linear…

Applications · Statistics 2017-10-11 Sen Hu , Adrian O'Hagan , Thomas Brendan Murphy

Most previous studies of the causal relationship between malaria and stunting have been studies where potential confounders are controlled via regression-based methods, but these studies may have been biased by unobserved confounders.…

Applications · Statistics 2015-11-11 Hyunseung Kang , Benno Kreuels , Jürgen May , Dylan S. Small

We develop a semiparametric Bayesian approach for estimating the mean response in a missing data model with binary outcomes and a nonparametrically modelled propensity score. Equivalently we estimate the causal effect of a treatment,…

Statistics Theory · Mathematics 2020-09-23 Kolyan Ray , Aad van der Vaart

Mediation analysis aims to separate the indirect effect through mediators from the direct effect of the exposure on the outcome. It is challenging to perform mediation analysis with neuroimaging data which involves high dimensionality,…

Methodology · Statistics 2025-12-30 Yuliang Xu , Timothy D Johnson , Mary Heitzeg , Jian Kang

This study introduces a data-driven, machine learning-based method to detect suitable control variables and instruments for assessing the causal effect of a treatment on an outcome in observational data. Our approach tests the joint…

Econometrics · Economics 2026-05-20 Nicolas Apfel , Julia Hatamyar , Martin Huber , Jannis Kueck

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

This paper proposes the beta binomial autoregressive moving average model (BBARMA) for modeling quantized amplitude data and bounded count data. The BBARMA model estimates the conditional mean of a beta binomial distributed variable…

Methodology · Statistics 2022-08-02 B. G. Palm , F. M. Bayer , R. J. Cintra

Unobserved spatial confounding variables are prevalent in environmental and ecological applications where the system under study is complex and the data are often observational. Instrumental variables (IVs) are a common way to address…

Methodology · Statistics 2021-03-02 Andrew Giffin , Brian J. Reich , Shu Yang , Ana G. Rappold

Instrumental variable (IV) methods are becoming increasingly popular as they seem to offer the only viable way to overcome the problem of unobserved confounding in observational studies. However, some attention has to be paid to the…

Methodology · Statistics 2010-11-03 Vanessa Didelez , Sha Meng , Nuala A. Sheehan

Uncertainty quantification is central to many applications of causal machine learning, yet principled Bayesian inference for causal effects remains challenging. Standard Bayesian approaches typically require specifying a probabilistic model…

Machine Learning · Statistics 2026-03-04 Emil Javurek , Dennis Frauen , Yuxin Wang , Stefan Feuerriegel

In the standard difference-in-differences research design, the parallel trends assumption may be violated when the relationship between the exposure trend and the outcome trend is confounded by unmeasured confounders. Progress can be made…

This work was developed aiming to employ Statistical techniques to the field of Music Emotion Recognition, a well-recognized area within the Signal Processing world, but hardly explored from the statistical point of view. Here, we opened…

Machine Learning · Statistics 2021-07-13 Nathalie Deziderio , Hugo Tremonte de Carvalho

We construct and propose the "Bayesian Validation Metric" (BVM) as a general model validation and testing tool. We find the BVM to be capable of representing all of the standard validation metrics (square error, reliability, probability of…

Methodology · Statistics 2019-10-28 Kevin Vanslette , Tony Tohme , Kamal Youcef-Toumi
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