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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

We propose a novel adaptive importance sampling algorithm which incorporates Stein variational gradient decent algorithm (SVGD) with importance sampling (IS). Our algorithm leverages the nonparametric transforms in SVGD to iteratively…

机器学习 · 统计学 2017-07-26 Jun Han , Qiang Liu

Stein variational gradient descent (SVGD) was recently proposed as a general purpose nonparametric variational inference algorithm [Liu & Wang, NIPS 2016]: it minimizes the Kullback-Leibler divergence between the target distribution and its…

机器学习 · 统计学 2018-10-31 Gianluca Detommaso , Tiangang Cui , Alessio Spantini , Youssef Marzouk , Robert Scheichl

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

We present a new particle filtering algorithm for nonlinear systems in the discrete-time setting. Our algorithm is based on the Stein variational gradient descent (SVGD) framework, which is a general approach to sample from a target…

计算工程、金融与科学 · 计算机科学 2021-06-22 Jiaojiao Fan , Amirhossein Taghvaei , Yongxin Chen

A central challenge in Bayesian inference is efficiently approximating posterior distributions. Stein Variational Gradient Descent (SVGD) is a popular variational inference method which transports a set of particles to approximate a target…

机器学习 · 统计学 2025-12-05 Moritz Melcher , Simon Weissmann , Ashia C. Wilson , Jakob Zech

Stein variational gradient descent (SVGD) is a general-purpose optimization-based sampling algorithm that has recently exploded in popularity, but is limited by two issues: it is known to produce biased samples, and it can be slow to…

机器学习 · 统计学 2022-04-20 Alex Leviyev , Joshua Chen , Yifei Wang , Omar Ghattas , Aaron Zimmerman

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 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

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

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

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

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

We propose a unifying view of two different Bayesian inference algorithms, Stochastic Gradient Markov Chain Monte Carlo (SG-MCMC) and Stein Variational Gradient Descent (SVGD), leading to improved and efficient novel sampling schemes. We…

机器学习 · 统计学 2020-02-25 Victor Gallego , David Rios Insua

The Stein Variational Gradient Descent (SVGD) algorithm is a deterministic particle method for sampling. However, a mean-field analysis reveals that the gradient flow corresponding to the SVGD algorithm (i.e., the Stein Variational Gradient…

机器学习 · 统计学 2024-05-10 Ye He , Krishnakumar Balasubramanian , Bharath K. Sriperumbudur , Jianfeng Lu

Understanding stochastic gradient descent (SGD) and its variants is essential for machine learning. However, most of the preceding analyses are conducted under amenable conditions such as unbiased gradient estimator and bounded objective…

机器学习 · 统计学 2024-03-26 Tianyou Li , Fan Chen , Huajie Chen , Zaiwen Wen

Sampling from an unnormalized target distribution is an essential problem with many applications in probabilistic inference. Stein Variational Gradient Descent (SVGD) has been shown to be a powerful method that iteratively updates a set of…

机器学习 · 计算机科学 2023-02-13 Hoang Phan , Ngoc Tran , Trung Le , Toan Tran , Nhat Ho , Dinh Phung

Stein Variational Gradient Descent (SVGD) is an algorithm for sampling from a target density which is known up to a multiplicative constant. Although SVGD is a popular algorithm in practice, its theoretical study is limited to a few recent…

机器学习 · 计算机科学 2022-06-20 Adil Salim , Lukang Sun , Peter Richtárik

Stein Variational Gradient Descent (SVGD) is a deterministic interacting-particle method for sampling from a target probability measure given access to its score function. In the mean-field and continuous-time limit, it is known that the…

机器学习 · 统计学 2026-05-12 Lénaïc Chizat , Maria Colombo , Roberto Colombo , Xavier Fernández-Real

The fluctuation effect of gradient expectation and variance caused by parameter update between consecutive iterations is neglected or confusing by current mainstream gradient optimization algorithms.Using this fluctuation effect, combined…

机器学习 · 统计学 2022-02-23 Aixiang , Chen , Jinting Zhang , Zanbo Zhang , Zhihong Li