Stein Variational Gradient Descent: A General Purpose Bayesian Inference Algorithm

Qiang Liu,Dilin Wang

Published 2016 in Neural Information Processing Systems

ABSTRACT

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.

PUBLICATION RECORD

  • Publication year

    2016

  • Venue

    Neural Information Processing Systems

  • Publication date

    2016-08-01

  • Fields of study

    Mathematics, Computer Science

  • Identifiers
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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