%0 Journal Article %A Gallego, Víctor %A Rios Insua, David %T Variationally inferred sampling through a refined bound %D 2021 %@ 1099-4300 %U https://hdl.handle.net/20.500.14352/7298 %X In this work, a framework to boost the efficiency of Bayesian inference in probabilistic models is introduced by embedding a Markov chain sampler within a variational posterior approximation. We call this framework “refined variational approximation”. Its strengths are its ease of implementation and the automatic tuning of sampler parameters, leading to a faster mixing time through automatic differentiation. Several strategies to approximate evidence lower bound (ELBO) computation are also introduced. Its efficient performance is showcased experimentally using statespace models for time-series data, a variational encoder for density estimation and a conditional variational autoencoder as a deep Bayes classifier. %~