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相关论文: Further analysis of multilevel Stein variational g…

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This work presents a multilevel variant of Stein variational gradient descent to more efficiently sample from target distributions. The key ingredient is a sequence of distributions with growing fidelity and costs that converges to the…

数值分析 · 数学 2021-04-06 Terrence Alsup , Luca Venturi , Benjamin Peherstorfer

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) refers to a class of methods for Bayesian inference based on interacting particle systems. In this paper, we consider the originally proposed deterministic dynamics as well as a stochastic variant,…

机器学习 · 统计学 2021-02-26 Nikolas Nüsken , D. R. Michiel Renger

We propose a general purpose variational inference algorithm that forms a natural counterpart of gradient descent for optimization. Our method iteratively transports a set of particles to match the target distribution, by applying a form of…

机器学习 · 统计学 2019-09-10 Qiang Liu , Dilin Wang

Particle based optimization algorithms have recently been developed as sampling methods that iteratively update a set of particles to approximate a target distribution. In particular Stein variational gradient descent has gained attention…

机器学习 · 计算机科学 2021-03-19 Francesco D'Angelo , Vincent Fortuin

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

Many particle-based Bayesian inference methods use a single global step size for all parts of the update. In Stein variational gradient descent (SVGD), however, each update combines two qualitatively different effects: attraction toward…

机器学习 · 计算机科学 2026-04-07 Arash Sarshar

Bayesian inference problems require sampling or approximating high-dimensional probability distributions. The focus of this paper is on the recently introduced Stein variational gradient descent methodology, a class of algorithms that rely…

机器学习 · 统计学 2023-02-14 A. Duncan , N. Nuesken , L. Szpruch

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

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

We propose a novel particle-based variational inference method designed to work with multimodal distributions. Our approach, referred to as Branched Stein Variational Gradient Descent (BSVGD), extends the classical Stein Variational…

机器学习 · 计算机科学 2025-07-18 Isaías Bañales , Arturo Jaramillo , Joshué Helí Ricalde-Guerrero

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 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

We propose and analyze a Stein variational reduced basis method (SVRB) to solve large-scale PDE-constrained Bayesian inverse problems. To address the computational challenge of drawing numerous samples requiring expensive PDE solves from…

数值分析 · 数学 2020-02-26 Peng Chen , Omar Ghattas

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

Rare event simulation and rare event probability estimation are important tasks within the analysis of systems subject to uncertainty and randomness. Simultaneously, accurately estimating rare event probabilities is an inherently difficult…

统计方法学 · 统计学 2024-07-18 Max Ehre , Iason Papaioannou , Daniel Straub

The curse of dimensionality is a longstanding challenge in Bayesian inference in high dimensions. In this work, we propose a projected Stein variational gradient descent (pSVGD) method to overcome this challenge by exploiting the…

机器学习 · 计算机科学 2020-06-11 Peng Chen , Omar Ghattas

Bayesian inference for doubly intractable distributions is challenging because they include intractable terms, which are functions of parameters of interest. Although several alternatives have been developed for such models, they are…

机器学习 · 统计学 2025-08-08 Heesang Lee , Songhee Kim , Bokgyeong Kang , Jaewoo Park

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
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