Stein's method meets computational statistics: A review of some recent developments

A Anastasiou, A Barp, FX Briol, B Ebner… - Statistical …, 2023 - projecteuclid.org
Stein's method compares probability distributions through the study of a class of linear
operators called Stein operators. While mainly studied in probability and used to underpin …

Towards reliable simulation-based inference with balanced neural ratio estimation

A Delaunoy, J Hermans, F Rozet… - Advances in …, 2022 - proceedings.neurips.cc
Modern approaches for simulation-based inference build upon deep learning surrogates to
enable approximate Bayesian inference with computer simulators. In practice, the estimated …

Robust and scalable Bayesian online changepoint detection

M Altamirano, FX Briol… - … Conference on Machine …, 2023 - proceedings.mlr.press
This paper proposes an online, provably robust, and scalable Bayesian approach for
changepoint detection. The resulting algorithm has key advantages over previous work: it …

Robust Bayesian inference for simulator-based models via the MMD posterior bootstrap

C Dellaporta, J Knoblauch… - International …, 2022 - proceedings.mlr.press
Simulator-based models are models for which the likelihood is intractable but simulation of
synthetic data is possible. They are often used to describe complex real-world phenomena …

Differentially Private Statistical Inference through -Divergence One Posterior Sampling

JE Jewson, S Ghalebikesabi… - Advances in Neural …, 2023 - proceedings.neurips.cc
Differential privacy guarantees allow the results of a statistical analysis involving sensitive
data to be released without compromising the privacy of any individual taking part …

Optimal thinning of MCMC output

M Riabiz, WY Chen, J Cockayne… - Journal of the Royal …, 2022 - academic.oup.com
The use of heuristics to assess the convergence and compress the output of Markov chain
Monte Carlo can be sub-optimal in terms of the empirical approximations that are produced …

A rigorous link between deep ensembles and (variational) Bayesian methods

VD Wild, S Ghalebikesabi… - Advances in Neural …, 2024 - proceedings.neurips.cc
We establish the first mathematically rigorous link between Bayesian, variational Bayesian,
and ensemble methods. A key step towards this it to reformulate the non-convex …

A trust crisis in simulation-based inference? your posterior approximations can be unfaithful

J Hermans, A Delaunoy, F Rozet, A Wehenkel… - arXiv preprint arXiv …, 2021 - arxiv.org
We present extensive empirical evidence showing that current Bayesian simulation-based
inference algorithms can produce computationally unfaithful posterior approximations. Our …

General Bayesian loss function selection and the use of improper models

J Jewson, D Rossell - Journal of the Royal Statistical Society …, 2022 - academic.oup.com
Statisticians often face the choice between using probability models or a paradigm defined
by minimising a loss function. Both approaches are useful and, if the loss can be re-cast into …

Generalized Bayesian inference for discrete intractable likelihood

T Matsubara, J Knoblauch, FX Briol… - Journal of the American …, 2024 - Taylor & Francis
Discrete state spaces represent a major computational challenge to statistical inference,
since the computation of normalization constants requires summation over large or possibly …