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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…

Machine Learning · Computer Science 2022-06-20 Adil Salim , Lukang Sun , Peter Richtárik

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

Stein Variational Gradient Descent (SVGD) is an important alternative to the Langevin-type algorithms for sampling from probability distributions of the form $\pi(x) \propto \exp(-V(x))$. In the existing theory of Langevin-type algorithms…

Statistics Theory · Mathematics 2022-06-02 Lukang Sun , Avetik Karagulyan , Peter Richtarik

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…

Machine Learning · Statistics 2022-04-20 Alex Leviyev , Joshua Chen , Yifei Wang , Omar Ghattas , Aaron Zimmerman

We propose a Stein variational gradient descent method to concurrently sparsify, train, and provide uncertainty quantification of a complexly parameterized model such as a neural network. It employs a graph reconciliation and condensation…

Machine Learning · Computer Science 2024-12-24 Govinda Anantha Padmanabha , Cosmin Safta , Nikolaos Bouklas , Reese E. Jones

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

We provide finite-particle convergence rates for the Stein Variational Gradient Descent (SVGD) algorithm in the Kernelized Stein Discrepancy ($\mathsf{KSD}$) and Wasserstein-2 metrics. Our key insight is that the time derivative of the…

Statistics Theory · Mathematics 2025-06-10 Sayan Banerjee , Krishnakumar Balasubramanian , Promit Ghosal

Among dissimilarities between probability distributions, the Kernel Stein Discrepancy (KSD) has received much interest recently. We investigate the properties of its Wasserstein gradient flow to approximate a target probability distribution…

Machine Learning · Statistics 2021-05-24 Anna Korba , Pierre-Cyril Aubin-Frankowski , Szymon Majewski , Pierre Ablin

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

Inspired by dynamic programming, we propose Stochastic Virtual Gradient Descent (SVGD) algorithm where the Virtual Gradient is defined by computational graph and automatic differentiation. The method is computationally efficient and has…

Machine Learning · Computer Science 2019-08-01 Zheng Li , Shi Shu

Stochastic variance reduced gradient (SVRG) is a popular variance reduction technique for accelerating stochastic gradient descent (SGD). We provide a first analysis of the method for solving a class of linear inverse problems in the lens…

Numerical Analysis · Mathematics 2022-01-19 Bangti Jin , Zehui Zhou , Jun Zou

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

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…

Machine Learning · Statistics 2019-09-10 Qiang Liu , Dilin Wang

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

In this project, we propose a Variational Inference algorithm to approximate posterior distributions. Building on prior methods, we develop the Gradient-Steered Stein Variational Gradient Descent (G-SVGD) approach. This method introduces a…

Computation · Statistics 2025-02-03 Jose L. Varona-Santana , Marcos A. Capistrán

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…

Machine Learning · Statistics 2025-12-05 Moritz Melcher , Simon Weissmann , Ashia C. Wilson , Jakob Zech

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 decent (SVGD) has been shown to be a powerful approximate inference algorithm for complex distributions. However, the standard SVGD requires calculating the gradient of the target density and cannot be applied…

Machine Learning · Statistics 2018-06-08 Jun Han , Qiang Liu

Recently, optimization on the Riemannian manifold have provided valuable insights to the optimization community. In this regard, extending these methods to to the Wasserstein space is of particular interest, since optimization on…

Machine Learning · Computer Science 2025-11-05 Mingyang Yi , Bohan Wang

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…

Machine Learning · Statistics 2018-10-31 Gianluca Detommaso , Tiangang Cui , Alessio Spantini , Youssef Marzouk , Robert Scheichl