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相关论文: Stein transport for Bayesian inference

200 篇论文

Stein Variational Gradient Descent (SVGD) is a popular sampling algorithm used in various machine learning tasks. It is well known that SVGD arises from a discretization of the kernelized gradient flow of the Kullback-Leibler divergence…

机器学习 · 计算机科学 2022-11-22 Lukang Sun , Peter Richtárik

A crucial task in predictive maintenance is estimating the remaining useful life of physical systems. In the last decade, deep learning has improved considerably upon traditional model-based and statistical approaches in terms of predictive…

机器学习 · 计算机科学 2024-02-05 Luca Della Libera , Jacopo Andreoli , Davide Dalle Pezze , Mirco Ravanelli , Gian Antonio Susto

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

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 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

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

Stein Variational Gradient Descent (SVGD) is a widely used in practice algorithm for scalable sampling with deterministic particle updates. We study its behavior in the singular limit where the kernel bandwidth tends to zero. In this…

偏微分方程分析 · 数学 2026-05-06 José A. Carrillo , Jakub Skrzeczkowski , Jethro Warnett

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

Stein variational gradient descent (SVGD) [Liu and Wang, 2016] performs approximate Bayesian inference by representing the posterior with a set of particles. However, SVGD suffers from variance collapse, i.e. poor predictions due to…

机器学习 · 计算机科学 2025-01-27 Ola Rønning , Eric Nalisnick , Christophe Ley , Padhraic Smyth , Thomas Hamelryck

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 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

We develop connections between Stein's approximation method, logarithmic Sobolev and transport inequalities by introducing a new class of functional inequalities involving the relative entropy, the Stein kernel, the relative Fisher…

概率论 · 数学 2014-07-24 Michel Ledoux , Ivan Nourdin , Giovanni Peccati

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

In this study, we propose a Bayesian seismic tomography inference method using physics-informed neural networks (PINN). PINN represents a recent advance in deep learning, offering the possibility to enhance physics-based simulations and…

地球物理 · 物理学 2023-07-19 Ryoichiro Agata , Kazuya Shiraishi , Gou Fujie

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

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

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

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

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…

机器学习 · 统计学 2020-06-24 Lei Li , Yingzhou Li , Jian-Guo Liu , Zibu Liu , Jianfeng Lu

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