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 …

A review on design inspired subsampling for big data

J Yu, M Ai, Z Ye - Statistical Papers, 2024 - Springer
Subsampling focuses on selecting a subsample that can efficiently sketch the information of
the original data in terms of statistical inference. It provides a powerful tool in big data …

Robust generalised Bayesian inference for intractable likelihoods

T Matsubara, J Knoblauch, FX Briol… - Journal of the Royal …, 2022 - academic.oup.com
Generalised Bayesian inference updates prior beliefs using a loss function, rather than a
likelihood, and can therefore be used to confer robustness against possible mis …

Minimum stein discrepancy estimators

A Barp, FX Briol, A Duncan… - Advances in Neural …, 2019 - proceedings.neurips.cc
When maximum likelihood estimation is infeasible, one often turns to score matching,
contrastive divergence, or minimum probability flow to obtain tractable parameter estimates …

Kernel stein discrepancy descent

A Korba, PC Aubin-Frankowski… - International …, 2021 - proceedings.mlr.press
Among dissimilarities between probability distributions, the Kernel Stein Discrepancy (KSD)
has received much interest recently. We investigate the properties of its Wasserstein …

Stein variational gradient descent with matrix-valued kernels

D Wang, Z Tang, C Bajaj, Q Liu - Advances in neural …, 2019 - proceedings.neurips.cc
Stein variational gradient descent (SVGD) is a particle-based inference algorithm that
leverages gradient information for efficient approximate inference. In this work, we enhance …

Stein variational model predictive control

A Lambert, A Fishman, D Fox, B Boots… - arXiv preprint arXiv …, 2020 - arxiv.org
Decision making under uncertainty is critical to real-world, autonomous systems. Model
Predictive Control (MPC) methods have demonstrated favorable performance in practice …

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 …

Kernel thinning

R Dwivedi, L Mackey - arXiv preprint arXiv:2105.05842, 2021 - arxiv.org
We introduce kernel thinning, a new procedure for compressing a distribution $\mathbb {P} $
more effectively than iid sampling or standard thinning. Given a suitable reproducing kernel …

Stochastic stein discrepancies

J Gorham, A Raj, L Mackey - Advances in Neural …, 2020 - proceedings.neurips.cc
Stein discrepancies (SDs) monitor convergence and non-convergence in approximate
inference when exact integration and sampling are intractable. However, the computation of …