Herded Gibbs Sampling

Luke Bornn, Yutian Chen, Nando de Freitas, Maya Baya, Jing Fang, Max Welling

Jan 18, 2013 (modified: Jan 18, 2013) ICLR 2013 conference submission readers: everyone
  • Decision: conferenceOral-iclr2013-conference
  • Abstract: The Gibbs sampler is one of the most popular algorithms for inference in statistical models. In this paper, we introduce a herding variant of this algorithm, called herded Gibbs, that is entirely deterministic. We prove that herded Gibbs has an $O(1/T)$ convergence rate for models with independent variables and for fully connected probabilistic graphical models. Herded Gibbs is shown to outperform Gibbs in the tasks of image denoising with MRFs and named entity recognition with CRFs. However, the convergence for herded Gibbs for sparsely connected probabilistic graphical models is still an open problem.