Stein Variational Gradient Descent: A General Purpose Bayesian Inference Algorithm
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Cited by 31 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
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 functional gradient descent that minimizes the KL divergence. Empirical studies are performed on various real world models and datasets, on which our method is competitive with existing state-of-the-art methods. The derivation of our method is based on a new theoretical result that connects the derivative of KL divergence under smooth transforms with Stein's identity and a recently proposed kernelized Stein discrepancy, which is of independent interest.
Key facts. Cited by 498 papers in the map (data through 7 Oct 2026). First posted on arXiv 16 Aug 2016.
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Citing papers per year: 2020: 1; 2021: 83; 2022: 82; 2023: 78; 2024: 99; 2025: 79; 2026: 76.
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