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Stein Variational Gradient Descent (SVGD) is a highly efficient method to sample from an unnormalized probability distribution. However, the SVGD update relies on gradients of the log-density, which may not always be available. Existing…

机器学习 · 计算机科学 2026-03-13 Cornelius V. Braun , Robert T. Lange , Marc Toussaint

Bayesian computation plays an important role in modern machine learning and statistics to reason about uncertainty. A key computational challenge in Bayesian inference is to develop efficient techniques to approximate, or draw samples from…

数值分析 · 数学 2021-09-01 Liang Yan , Tao Zhou

Stein variational gradient descent (SVGD) is a particle-based inference algorithm that leverages gradient information for efficient approximate inference. In this work, we enhance SVGD by leveraging preconditioning matrices, such as the…

机器学习 · 统计学 2019-11-06 Dilin Wang , Ziyang Tang , Chandrajit Bajaj , Qiang Liu

Stein variational gradient descent (SVGD) is a kernel-based particle method for sampling from a target distribution, e.g., in generative modeling and Bayesian inference. SVGD does not require estimating the gradient of the log-density,…

机器学习 · 统计学 2025-04-10 Viktor Stein , Wuchen Li

Stein variational gradient descent (SVGD) is a non-parametric inference algorithm that evolves a set of particles to fit a given distribution of interest. We analyze the non-asymptotic properties of SVGD, showing that there exists a set of…

机器学习 · 统计学 2018-10-30 Qiang Liu , Dilin Wang

Gradient-based approximate inference methods, such as Stein variational gradient descent (SVGD), provide simple and general-purpose inference engines for differentiable continuous distributions. However, existing forms of SVGD cannot be…

机器学习 · 计算机科学 2020-03-03 Jun Han , Fan Ding , Xianglong Liu , Lorenzo Torresani , Jian Peng , Qiang Liu

Particle-based approximate Bayesian inference approaches such as Stein Variational Gradient Descent (SVGD) combine the flexibility and convergence guarantees of sampling methods with the computational benefits of variational inference. In…

机器学习 · 计算机科学 2021-07-30 Lauro Langosco di Langosco , Vincent Fortuin , Heiko Strathmann

Stein variational gradient descent (SVGD) is a kernel-based and non-parametric particle method for sampling from a target distribution, such as in Bayesian inference and other machine learning tasks. Different from other particle methods,…

最优化与控制 · 数学 2025-10-02 Viktor Stein , Wuchen Li

Stein variational gradient descent (SVGD) and its variants have shown promising successes in approximate inference for complex distributions. In practice, we notice that the kernel used in SVGD-based methods has a decisive effect on the…

机器学习 · 计算机科学 2022-11-29 Qingzhong Ai , Shiyu Liu , Lirong He , Zenglin Xu

Stein Variational Gradient Descent (SVGD) is a popular variational inference algorithm which simulates an interacting particle system to approximately sample from a target distribution, with impressive empirical performance across various…

机器学习 · 统计学 2023-10-09 Aniket Das , Dheeraj Nagaraj

In this paper we propose and analyze a novel multilevel version of Stein variational gradient descent (SVGD). SVGD is a recent particle based variational inference method. For Bayesian inverse problems with computationally expensive…

数值分析 · 数学 2024-02-05 Simon Weissmann , Jakob Zech

Stein variational gradient descent (SVGD) is a deterministic particle inference algorithm that provides an efficient alternative to Markov chain Monte Carlo. However, SVGD has been found to suffer from variance underestimation when the…

机器学习 · 统计学 2022-03-14 Xing Liu , Harrison Zhu , Jean-François Ton , George Wynne , Andrew Duncan

We study the Stein Variational Gradient Descent (SVGD) algorithm, which optimises a set of particles to approximate a target probability distribution $\pi\propto e^{-V}$ on $\mathbb{R}^d$. In the population limit, SVGD performs gradient…

机器学习 · 统计学 2021-01-05 Anna Korba , Adil Salim , Michael Arbel , Giulia Luise , Arthur Gretton

Stein variational gradient descent (SVGD) is a recently proposed particle-based Bayesian inference method, which has attracted a lot of interest due to its remarkable approximation ability and particle efficiency compared to traditional…

机器学习 · 统计学 2018-06-11 Jingwei Zhuo , Chang Liu , Jiaxin Shi , Jun Zhu , Ning Chen , Bo Zhang

Stein variational gradient descent (SVGD) is a deterministic sampling algorithm that iteratively transports a set of particles to approximate given distributions, based on an efficient gradient-based update that guarantees to optimally…

机器学习 · 统计学 2017-11-15 Qiang Liu

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 particles. Specifically, whenever the target…

机器学习 · 计算机科学 2023-11-03 Jiaxin Shi , Lester Mackey

We propose a novel distributed inference algorithm for continuous graphical models, by extending Stein variational gradient descent (SVGD) to leverage the Markov dependency structure of the distribution of interest. Our approach combines…

机器学习 · 统计学 2018-06-11 Dilin Wang , Zhe Zeng , Qiang Liu

Stein Variational Gradient Descent (SVGD) is a nonparametric particle-based deterministic sampling algorithm. Despite its wide usage, understanding the theoretical properties of SVGD has remained a challenging problem. For sampling from a…

统计理论 · 数学 2023-10-31 Tianle Liu , Promit Ghosal , Krishnakumar Balasubramanian , Natesh S. Pillai

Ensembles of deep neural networks have achieved great success recently, but they do not offer a proper Bayesian justification. Moreover, while they allow for averaging of predictions over several hypotheses, they do not provide any…

机器学习 · 计算机科学 2021-06-23 Francesco D'Angelo , Vincent Fortuin , Florian Wenzel

Stein variational gradient descent (SVGD) is a prominent particle-based variational inference method used for sampling a target distribution. SVGD has attracted interest for application in machine-learning techniques such as Bayesian…

机器学习 · 计算机科学 2024-02-26 Yuya Kawamura , Satoshi Takabe
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