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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Theme issue ‘Bayesian inference: challenges, perspectives, and prospects’ compiled and edited by Christian P. Robert, Judith Rousseau and Michael I. Jordan

This theme issue explores the most significant current directions of Bayesian inference, with contributions from major researchers in the field. The issue is a celebration of the President of the Royal Society, Sir Adrian Smith, and his contributions to this research area; contributions that have impacted the field up to this day.

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INTRODUCTION

Introduction
A special issue on Bayesian inference: challenges, perspectives and prospects
Published:27 March 2023Article ID:20220155

https://doi.org/10.1098/rsta.2022.0155

ARTICLES

Discussion
Being Bayesian in the 2020s: opportunities and challenges in the practice of modern applied Bayesian statistics
Published:27 March 2023Article ID:20220156

https://doi.org/10.1098/rsta.2022.0156

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Research articles
On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions
Published:27 March 2023Article ID:20220150

https://doi.org/10.1098/rsta.2022.0150

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Review articles
Bayesian causal inference: a critical review
Published:27 March 2023Article ID:20220153

https://doi.org/10.1098/rsta.2022.0153

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Opinion piece
The Bayesian lens and Bayesian blinkers
Published:27 March 2023Article ID:20220144

https://doi.org/10.1098/rsta.2022.0144

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Research articles
The e-posterior
Published:27 March 2023Article ID:20220146

https://doi.org/10.1098/rsta.2022.0146

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Research articles
Mathematical theory of Bayesian statistics for unknown information source
Published:27 March 2023Article ID:20220151

https://doi.org/10.1098/rsta.2022.0151

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Review articles
Bayesian approaches to include real-world data in clinical studies
Published:27 March 2023Article ID:20220158

https://doi.org/10.1098/rsta.2022.0158

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Research articles
Hierarchical Bayesian non-response models for error rates in forensic black-box studies
Published:27 March 2023Article ID:20220157

https://doi.org/10.1098/rsta.2022.0157

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Review articles
Differentiable samplers for deep latent variable models
Published:27 March 2023Article ID:20220147

https://doi.org/10.1098/rsta.2022.0147

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Research articles
Bayesian clustering of multiple zero-inflated outcomes
Published:27 March 2023Article ID:20220145

https://doi.org/10.1098/rsta.2022.0145

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Review articles
Prediction-based uncertainty quantification for exchangeable sequences
Published:27 March 2023Article ID:20220142

https://doi.org/10.1098/rsta.2022.0142

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Review articles
Generalized cumulative shrinkage process priors with applications to sparse Bayesian factor analysis
Published:27 March 2023Article ID:20220148

https://doi.org/10.1098/rsta.2022.0148

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Review articles
Bayesian cluster analysis
Published:27 March 2023Article ID:20220149

https://doi.org/10.1098/rsta.2022.0149

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Research articles
Statistical inference with exchangeability and martingales
Published:27 March 2023Article ID:20220143

https://doi.org/10.1098/rsta.2022.0143

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Research articles
Deep bootstrap for Bayesian inference
Published:27 March 2023Article ID:20220154

https://doi.org/10.1098/rsta.2022.0154

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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences cover image
15 May 2023
Volume 381Issue 2247

Editor-In-Chief

Professor Richard Catlow FRS
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