Stein's method meets computational statistics: A review of some recent developments
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 …
operators called Stein operators. While mainly studied in probability and used to underpin …
Towards reliable simulation-based inference with balanced neural ratio estimation
Modern approaches for simulation-based inference build upon deep learning surrogates to
enable approximate Bayesian inference with computer simulators. In practice, the estimated …
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 …
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 …
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 …
data to be released without compromising the privacy of any individual taking part …
Optimal thinning of MCMC output
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 …
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 …
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
We present extensive empirical evidence showing that current Bayesian simulation-based
inference algorithms can produce computationally unfaithful posterior approximations. Our …
inference algorithms can produce computationally unfaithful posterior approximations. Our …
General Bayesian loss function selection and the use of improper models
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 …
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
Discrete state spaces represent a major computational challenge to statistical inference,
since the computation of normalization constants requires summation over large or possibly …
since the computation of normalization constants requires summation over large or possibly …