Scalability of Metropolis-within-Gibbs schemes for high-dimensional Bayesian models
高维贝叶斯模型中 Metropolis-within-Gibbs 方案的可扩展性
Abstract We study general coordinate-wise Markov chain Monte Carlo schemes (such as Metropolis-within-Gibbs samplers), which are commonly used to fit Bayesian non-conjugate hierarchical models. We relate their convergence properties to the ones of the corresponding (potentially not implementable) random scan Gibbs sampler through the notion of conditional conductance. This allows us to study the performances of popular Metropolis-within-Gibbs schemes for non-conjugate…