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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…

Numerical Analysis · Mathematics 2024-02-05 Simon Weissmann , Jakob Zech

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…

Machine Learning · Computer Science 2020-06-11 Peng Chen , Omar Ghattas

Stein Variational Gradient Descent (SVGD) is a popular particle-based method for Bayesian inference. However, its convergence suffers from the variance collapse, which reduces the accuracy and diversity of the estimation. In this paper, we…

Machine Learning · Computer Science 2023-05-19 Jiankui Zhou , Yue Qiu

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,…

Machine Learning · Statistics 2021-02-26 Nikolas Nüsken , D. R. Michiel Renger

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…

Machine Learning · Statistics 2022-03-14 Xing Liu , Harrison Zhu , Jean-François Ton , George Wynne , Andrew Duncan

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…

Machine Learning · Statistics 2018-06-11 Dilin Wang , Zhe Zeng , Qiang Liu

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…

Machine Learning · Statistics 2019-11-06 Dilin Wang , Ziyang Tang , Chandrajit Bajaj , 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…

Machine Learning · Computer Science 2021-07-30 Lauro Langosco di Langosco , Vincent Fortuin , Heiko Strathmann

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…

Machine Learning · Statistics 2018-10-30 Qiang Liu , Dilin Wang

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,…

Machine Learning · Statistics 2025-04-10 Viktor Stein , Wuchen Li

Traditional preamble detection algorithms have low accuracy in the grant-based random access scheme in massive machine-type communication (mMTC). We present a novel preamble detection algorithm based on Stein variational gradient descent…

Signal Processing · Electrical Eng. & Systems 2024-11-12 Xin Zhu , Hongyi Pan , Salih Atici , Ahmet Enis Cetin

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…

Machine Learning · Statistics 2017-11-15 Qiang Liu

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…

Machine Learning · Computer Science 2024-02-26 Yuya Kawamura , Satoshi Takabe

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…

Statistics Theory · Mathematics 2023-10-31 Tianle Liu , Promit Ghosal , Krishnakumar Balasubramanian , Natesh S. Pillai

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…

Machine Learning · Statistics 2023-10-09 Aniket Das , Dheeraj Nagaraj

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…

Machine Learning · Computer Science 2025-07-18 Isaías Bañales , Arturo Jaramillo , Joshué Helí Ricalde-Guerrero

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…

Machine Learning · Statistics 2025-08-08 Heesang Lee , Songhee Kim , Bokgyeong Kang , Jaewoo Park

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…

Machine Learning · Statistics 2021-01-05 Anna Korba , Adil Salim , Michael Arbel , Giulia Luise , Arthur Gretton

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…

Machine Learning · Computer Science 2022-11-29 Qingzhong Ai , Shiyu Liu , Lirong He , Zenglin Xu

We propose in this work RBM-SVGD, a stochastic version of Stein Variational Gradient Descent (SVGD) method for efficiently sampling from a given probability measure and thus useful for Bayesian inference. The method is to apply the Random…

Machine Learning · Statistics 2020-06-24 Lei Li , Yingzhou Li , Jian-Guo Liu , Zibu Liu , Jianfeng Lu
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