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We propose a novel Bayesian model selection technique on linear mixed-effects models to compare multiple treatments with a control. A fully Bayesian approach is implemented to estimate the marginal inclusion probabilities that provide a…

Applications · Statistics 2015-09-28 Lei Gong , James M. Flegal , Stephen R. Spindler , Patricia L. Mote

Bayesian causal discovery aims to infer the posterior distribution over causal models from observed data, quantifying epistemic uncertainty and benefiting downstream tasks. However, computational challenges arise due to joint inference over…

Machine Learning · Computer Science 2023-12-11 Yashas Annadani , Nick Pawlowski , Joel Jennings , Stefan Bauer , Cheng Zhang , Wenbo Gong

When drawing causal inferences about the effects of multiple treatments on clustered survival outcomes using observational data, we need to address implications of the multilevel data structure, multiple treatments, censoring and unmeasured…

Methodology · Statistics 2022-02-18 Liangyuan Hu , Jiayi Ji , Ronald D. Ennis , Joseph W. Hogan

Two of the principle tasks of causal inference are to define and estimate the effect of a treatment on an outcome of interest. Formally, such treatment effects are defined as a possibly functional summary of the data generating…

Statistics Theory · Mathematics 2023-01-26 Herbert Susmann , Antoine Chambaz

Multivariate meta-analysis (MMA) is a powerful tool for jointly estimating multiple outcomes' treatment effects. However, the validity of results from MMA is potentially compromised by outcome reporting bias (ORB), or the tendency for…

Applications · Statistics 2021-10-19 Ray Bai , Xiaokang Liu , Lifeng Lin , Yulun Liu , Stephen E. Kimmel , Haitao Chu , Yong Chen

Three critical issues for causal inference that often occur in modern, complicated experiments are interference, treatment nonadherence, and missing outcomes. A great deal of research efforts has been dedicated to developing causal…

Methodology · Statistics 2023-04-06 Yuki Ohnishi , Arman Sabbaghi

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

In recent studies on model-based reinforcement learning (MBRL), incorporating uncertainty in forward dynamics is a state-of-the-art strategy to enhance learning performance, making MBRLs competitive to cutting-edge model free methods,…

Machine Learning · Computer Science 2019-10-08 Masashi Okada , Tadahiro Taniguchi

Bayesian causal inference offers a principled approach to policy evaluation of proposed interventions on mediators or time-varying exposures. We outline a general approach to the estimation of causal quantities for settings with…

Methodology · Statistics 2019-02-28 Leah Comment , Brent A. Coull , Corwin Zigler , Linda Valeri

In observational studies, propensity scores are commonly estimated by maxi- mum likelihood but may fail to balance high-dimensional pre-treatment covariates even after specification search. We introduce a general framework that unifies and…

Methodology · Statistics 2017-03-22 Qingyuan Zhao

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…

In this paper, we present the Bayesian inference procedures for the parameters of the multivariate random effects model derived under the assumption of an elliptically contoured distribution when the Berger and Bernardo reference and the…

Methodology · Statistics 2023-05-26 Olha Bodnar , Taras Bodnar

Propensity score matching (PSM) and augmented inverse propensity weighting (AIPW) are widely used in observational studies to estimate causal effects. The two approaches present complementary features. The AIPW estimator is doubly robust…

Methodology · Statistics 2025-12-12 Tanchumin Xu , Yunshu Zhang , Shu Yang

The method of multivariable Mendelian randomization uses genetic variants to instrument multiple exposures, to estimate the effect that a given exposure has on an outcome conditional on all other exposures included in a linear model.…

Methodology · Statistics 2024-08-20 Ashish Patel , James Lane , Stephen Burgess

We present a novel approach for constrained Bayesian inference. Unlike current methods, our approach does not require convexity of the constraint set. We reduce the constrained variational inference to a parametric optimization over the…

Machine Learning · Computer Science 2013-09-27 Oluwasanmi Koyejo , Joydeep Ghosh

We develop an ultrawideband (UWB) inverse scattering technique for reconstructing continuous random media based on Bayesian compressive sensing. In addition to providing maximum a posteriori estimates of the unknown weights, Bayesian…

Data Analysis, Statistics and Probability · Physics 2014-11-27 A. E. Fouda , F. L. Teixeira

Although various clustering methods have been successfully applied to polarimetric synthetic aperture radar (PolSAR) image clustering tasks, most of the available approaches fail to realize automatic determination of cluster number, nor…

Image and Video Processing · Electrical Eng. & Systems 2021-04-06 Shijie Ren , Feng Zhou , Changlong Wang

Joint models have proven to be an effective approach for uncovering potentially hidden connections between various types of outcomes, mainly continuous, time-to-event, and binary. Typically, longitudinal continuous outcomes are…

We propose a general solution to the problem of robust Bayesian inference in complex settings where outliers may be present. In practice, the automation of robust Bayesian analyses is important in the many applications involving large and…

Methodology · Statistics 2022-04-15 Jeremie Houssineau , David J. Nott

This paper focuses on the Bayesian Network Propensity Score (BNPS), a novel approach for estimating treatment effects in observational studies characterized by unknown (and likely unbalanced) designs and complex dependency structures among…