A finite-particle convergence rate for stein variational gradient descent

J Shi, L Mackey - Advances in Neural Information …, 2023 - proceedings.neurips.cc
We provide the first finite-particle convergence rate for Stein variational gradient descent
(SVGD), a popular algorithm for approximating a probability distribution with a collection of …

Targeted separation and convergence with kernel discrepancies

A Barp, CJ Simon-Gabriel, M Girolami… - Journal of Machine …, 2024 - jmlr.org
Maximum mean discrepancies (MMDs) like the kernel Stein discrepancy (KSD) have grown
central to a wide range of applications, including hypothesis testing, sampler selection …

Stein -Importance Sampling

C Wang, Y Chen, H Kanagawa… - Advances in Neural …, 2023 - proceedings.neurips.cc
Stein discrepancies have emerged as a powerful tool for retrospective improvement of
Markov chain Monte Carlo output. However, the question of how to design Markov chains …

Using perturbation to improve goodness-of-fit tests based on kernelized stein discrepancy

X Liu, AB Duncan, A Gandy - International Conference on …, 2023 - proceedings.mlr.press
Kernelized Stein discrepancy (KSD) is a score-based discrepancy widely used in goodness-
of-fit tests. It can be applied even when the target distribution has an unknown normalising …

On the robustness of kernel goodness-of-fit tests

X Liu, FX Briol - arxiv preprint arxiv:2408.05854, 2024 - arxiv.org
Goodness-of-fit testing is often criticized for its lack of practical relevance; since``all models
are wrong'', the null hypothesis that the data conform to our model is ultimately always …

Improved finite-particle convergence rates for stein variational gradient descent

K Balasubramanian, S Banerjee, P Ghosal - arxiv preprint arxiv …, 2024 - arxiv.org
We provide finite-particle convergence rates for the Stein Variational Gradient Descent
(SVGD) algorithm in the Kernelized Stein Discrepancy ($\mathsf {KSD} $) and Wasserstein …

Long-time asymptotics of noisy SVGD outside the population limit

V Priser, P Bianchi, A Salim - arxiv preprint arxiv:2406.11929, 2024 - arxiv.org
Stein Variational Gradient Descent (SVGD) is a widely used sampling algorithm that has
been successfully applied in several areas of Machine Learning. SVGD operates by …

The Polynomial Stein Discrepancy for Assessing Moment Convergence

N Srinivasan, M Sutton, C Drovandi… - arxiv preprint arxiv …, 2024 - arxiv.org
We propose a novel method for measuring the discrepancy between a set of samples and a
desired posterior distribution for Bayesian inference. Classical methods for assessing …