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Automatic Differentiation Variational Inference/Evidence
Method evidence record

Automatic Differentiation Variational Inference

Automatic Differentiation Variational Inference (ADVI) is a black-box algorithm for approximate Bayesian posterior inference, introduced by Kucukelbir, Tran, Ranganath, Gelman, and Blei (2017, JMLR). Given any probabilistic model whose log-joint density is differentiable, ADVI automatically transforms constrained latent variables to unconstrained real space, fits a Gaussian variational family by maximising the evidence lower bound (ELBO) with stochastic gradient ascent, and returns an approximate posterior without model-specific derivations. It is the default variational inference engine in Stan and is available in PyMC and NumPyro.

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Source record

Citations copied verbatim from the method’s source record. No claim-level verification is inferred from them.

Automatic Differentiation Variational Inference (ADVI)
Taxonomic method record · bayesian / bayesian
  • Kucukelbir, A., Tran, D., Ranganath, R., Gelman, A. & Blei, D. M. (2017). Automatic differentiation variational inference. Journal of Machine Learning Research, 18(14), 1–45. · URL
  • Kucukelbir, A., Tran, D., Ranganath, R., Gelman, A. & Blei, D. M. (2016). Automatic differentiation variational inference. arXiv:1603.00788. · URL
  • Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. · ISBN 978-1439840955
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Related methods

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Same method familyBayesian Regressionmachine-suggested · Relational suggestion, not evidence.Same method familyExpectation Propagationmachine-suggested · Relational suggestion, not evidence.Same method familyMCMCmachine-suggested · Relational suggestion, not evidence.

Evidence status

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Sources

3 recorded citations, copied from the method source record.

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