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Lower Bounds for the Gibbs Sampler over Mixtures of Gaussians

2020-03-03 | |  56 |   37 |   0

Abstract

The mixing time of a Markov chain is the minimum time t necessary for the total variation distance between the distribution of the Markov chain’s current state 图片.png and its stationary distribution to fall below some ε > 0. In this paper, we present lower bounds for the mixing time of the Gibbs sampler over Gaussian mixture models with Dirichlet priors.

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