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 …

Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability

S Pan, K Duraisamy - SIAM Journal on Applied Dynamical Systems, 2020 - SIAM
The Koopman operator has emerged as a powerful tool for the analysis of nonlinear
dynamical systems as it provides coordinate transformations to globally linearize the …

On the geometry of Stein variational gradient descent

A Duncan, N Nüsken, L Szpruch - Journal of Machine Learning Research, 2023 - jmlr.org
Bayesian inference problems require sampling or approximating high-dimensional
probability distributions. The focus of this paper is on the recently introduced Stein …

A finite-particle convergence rate for stein variational gradient descent

J Shi, L Mackey - Advances in Neural Information …, 2024 - 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 …

Understanding and accelerating particle-based variational inference

C Liu, J Zhuo, P Cheng, R Zhang… - … Conference on Machine …, 2019 - proceedings.mlr.press
Particle-based variational inference methods (ParVIs) have gained attention in the Bayesian
inference literature, for their capacity to yield flexible and accurate approximations. We …

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 …

Projected Stein variational gradient descent

P Chen, O Ghattas - Advances in Neural Information …, 2020 - proceedings.neurips.cc
The curse of dimensionality is a longstanding challenge in Bayesian inference in high
dimensions. In this work, we propose a {projected Stein variational gradient …

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 …

Particle guidance: non-iid diverse sampling with diffusion models

G Corso, Y Xu, V De Bortoli, R Barzilay… - arxiv preprint arxiv …, 2023 - arxiv.org
In light of the widespread success of generative models, a significant amount of research
has gone into speeding up their sampling time. However, generative models are often …

Provably fast finite particle variants of svgd via virtual particle stochastic approximation

A Das, D Nagaraj - Advances in Neural Information …, 2023 - proceedings.neurips.cc
Abstract Stein Variational Gradient Descent (SVGD) is a popular particle-based variational
inference algorithm with impressive empirical performance across various domains …