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Expected-posterior priors (EPP) have been proved to be extremely useful for testing hypothesis on the regression coefficients of normal linear models. One of the advantages of using EPPs is that impropriety of baseline priors causes no…

Computation · Statistics 2014-12-02 Dimitris Fouskakis , Ioannis Ntzoufras

We introduce a framework for estimating causal effects of binary and continuous treatments in high dimensions. We show how posterior distributions of treatment and outcome models can be used together with doubly robust estimators. We…

Methodology · Statistics 2020-10-06 Joseph Antonelli , Georgia Papadogeorgou , Francesca Dominici

We propose a multiple imputation method based on principal component analysis (PCA) to deal with incomplete continuous data. To reflect the uncertainty of the parameters from one imputation to the next, we use a Bayesian treatment of the…

Methodology · Statistics 2015-08-20 Vincent Audigier , François Husson , Julie Josse

Surrogate endpoints play an important role in drug development when they can be used to measure treatment effect early compared to the final clinical outcome and to predict clinical benefit or harm. Such endpoints are assessed for their…

One of the well-known challenges in optimal experimental design is how to efficiently estimate the nested integrations of the expected information gain. The Gaussian approximation and associated importance sampling have been shown to be…

Computation · Statistics 2021-08-17 Quan Long

We propose a MAP Bayesian approach to perform and evaluate a co-clustering of mixed-type data tables. The proposed model infers an optimal segmentation of all variables then performs a co-clustering by minimizing a Bayesian model selection…

Machine Learning · Statistics 2019-02-07 Aichetou Bouchareb , Marc Boullé , Fabrice Rossi , Fabrice Clérot

Background: In medical imaging, images are usually treated as deterministic, while their uncertainties are largely underexplored. Purpose: This work aims at using deep learning to efficiently estimate posterior distributions of imaging…

Image and Video Processing · Electrical Eng. & Systems 2023-03-20 Xiaofeng Liu , Thibault Marin , Tiss Amal , Jonghye Woo , Georges El Fakhri , Jinsong Ouyang

Maximum-a-posteriori (MAP) estimation is the main Bayesian estimation methodology in imaging sciences, where high dimensionality is often addressed by using Bayesian models that are log-concave and whose posterior mode can be computed…

Statistics Theory · Mathematics 2019-01-21 Marcelo Pereyra

In this work we address the problem of solving ill-posed inverse problems in imaging where the prior is a variational autoencoder (VAE). Specifically we consider the decoupled case where the prior is trained once and can be reused for many…

Machine Learning · Statistics 2025-02-04 Mario González , Andrés Almansa , Pauline Tan

The characterization of drug-protein interactions is crucial in the high-throughput screening for drug discovery. The deep learning-based approaches have attracted attention because they can predict drug-protein interactions without…

Machine Learning · Computer Science 2020-12-22 QHwan Kim , Joon-Hyuk Ko , Sunghoon Kim , Nojun Park , Wonho Jhe

When treatment policy estimands are of interest, clinical trials often attempt to collect patient data after intercurrent events (ICEs), although such data are often limited. Retrieved dropout imputation methods, which use pre-ICE and…

Methodology · Statistics 2026-03-31 Brendah Nansereko , Marcel Wolbers , James R. Carpenter , Jonathan W. Bartlett

Gene regulatory networks play a crucial role in controlling an organism's biological processes, which is why there is significant interest in developing computational methods that are able to extract their structure from high-throughput…

Machine Learning · Statistics 2018-09-19 Ioan Gabriel Bucur , Tom van Bussel , Tom Claassen , Tom Heskes

We introduce multi-scale energy models to learn the prior distribution of images, which can be used in inverse problems to derive the Maximum A Posteriori (MAP) estimate and to sample from the posterior distribution. Compared to the…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Jyothi Rikhab Chand , Mathews Jacob

Principal component regression uses principal components as regressors. It is particularly useful in prediction settings with high-dimensional covariates. The existing literature treating of Bayesian approaches is relatively sparse. We…

Methodology · Statistics 2020-01-28 Philippe Gagnon , Mylène Bédard , Alain Desgagné

The start of LHC has motivated an effort to determine the relative probability of the different regions of the MSSM parameter space, taking into account the present, theoretical and experimental, wisdom about the model. Since the present…

High Energy Physics - Phenomenology · Physics 2014-11-18 M. E. Cabrera , J. A. Casas , R. Ruiz de Austri

Adding domain knowledge to a learning system is known to improve results. In multi-parameter Bayesian frameworks, such knowledge is incorporated as a prior. On the other hand, various model parameters can have different learning rates in…

Machine Learning · Computer Science 2022-06-22 Sareh Nabi , Houssam Nassif , Joseph Hong , Hamed Mamani , Guido Imbens

Pilot feasibility studies play a pivotal role in the development of clinical trials for rare diseases, where small populations and slow recruitment often threaten trial viability. While such studies are commonly used to assess operational…

Applications · Statistics 2025-07-15 Lara Maleyeff , Valérie Leclair , Shirin Golchi , Marie Hudson

Shape restrictions such as monotonicity on functions often arise naturally in statistical modeling. We consider a Bayesian approach to the problem of estimation of a monotone regression function and testing for monotonicity. We construct a…

Statistics Theory · Mathematics 2020-08-05 Moumita Chakraborty , Subhashis Ghosal

Externally controlled single-arm trials are critical to assess treatment efficacy across therapeutic indications for which randomized controlled trials are not feasible. A closely-related research design, the unanchored indirect treatment…

Methodology · Statistics 2026-02-13 Harlan Campbell , Antonio Remiro-Azócar

Outliers can seriously distort statistical inference by inducing excessive sensitivity in the likelihood function, thereby compromising the reliability of Bayesian estimation. To address this issue, we develop a robust Bayesian estimation…

Statistics Theory · Mathematics 2026-02-09 Jeongho Lee , Junmo Song
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