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This tutorial gives a quick introduction to Variational Bayes (VB), also called Variational Inference or Variational Approximation, from a practical point of view.
Variational Bayes on manifolds
Tran, M.-N., Nguyen, D. H., and Nguyen, D. (2020a) · 1908
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Information and accuracy attainable in the estimation of statistical parameters
Rao, C. R. (1945) · 1945
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Generalized autoregressive conditional heteroskedasticity
Bollerslev, T. (1986) · 1986
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Bayesian methods for mixtures of experts
Waterhouse, S., MacKay, D., and Robinson, T. (1996) · 1996
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Natural gradient works efficiently in learning
Amari, S. (1998) · 1998
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An introduction to variational methods for graphical models
Jordan, M., Ghahramani, Z., Jaakkola, T., and Saul, L. K. (1999) · 1999
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Variational learning for switching state-space models
Ghahramani, Z. and Hinton, G. E. (2000) · 2000
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Variational Bayesian model selection for mixture distributions
Corduneanu, A. and Bishop, C. (2001) · 2001
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Online model selection based on the variational Bayes
Sato, M. (2001) · 2001
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Bayesian methods for neural networks and related models
Titterington, D. M. (2004) · 2004
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Pattern Recognition and Machine Learning
Bishop, C. M. (2006) · 2006
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Variational approximations in Bayesian model selection for finite mixture distributions
McGrory, C. and Titterington, D. (2007) · 2007
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Recurrent conditional heteroskedasticity
Nguyen, T.-N., Tran, M.-N., and Kohn, R. (2020) · 2010
Cited alongside, same era.
Explaining variational approximations
Ormerod, J. T. and Wand, M. P. (2010) · 2010
Cited alongside, same era.
Adaptive subgradient methods for online learning and stochastic optimization
Duchi, J., Hazan, E., and Singer, Y. (2011) · 2011
Cited alongside, same era.
Mean field variational bayes for elaborate distributions
Wand, M. P., Ormerod, J. T., Padoan, S. A., and Frühwirth, R. (2011) · 2011
Cited alongside, same era.
Regression density estimation with variational methods and stochastic approximation
Nott, D. J., Tan, S., Villani, M., and Kohn, R. (2012) · 2012
Cited alongside, same era.
Variational Bayesian inference with stochastic search
Black box variational inference
Ranganath, R., Gerrish, S., and Blei, D. M. (2014) · 2014
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Doubly stochastic Variational Bayes for non-conjugate inference
Titsias, M. and Lázaro-Gredilla, M. (2014) · 2014
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Copula-type estimators for flexible multivariate density modeling using mixtures
Tran, M.-N., Giordani, P., Mun, X., Kohn, R., and Pitt, M. K. (2014) · 2014
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Importance weighted autoencoders
Burda, Y., Grosse, R., and Salakhutdinov, R. (2016) · 2016
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Conjugate-computation variational inference: Converting variational inference in non-conjugate models to inferences in conjugate models
Khan, M. E. and Lin, W. (2017) · 2017
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Variational Bayes with intractable likelihood
Tran, M., Nott, D., and Kohn, R. (2017) · 2017
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Paisley, J., Blei, D., and Jordan, M. (2012) · 2012
Cited alongside, same era.
Adadelta: an adaptive learning rate method
Zeiler, M. D. (2012) · 2012
Cited alongside, same era.
Flexible multivariate density estimation with marginal adaptation
Giordani, P., Mun, X., Tran, M.-N., and Kohn, R. (2013) · 2013
Cited alongside, same era.
Stochastic variational inference
Hoffman, M. D., Blei, D. M., Wang, C., and Paisley, J. (2013) · 2013
Cited alongside, same era.
Auto-encoding Variational Bayes
Kingma, D. and Welling, M. (2014) · 2014
Cited alongside, same era.
Adam: A method for stochastic optimization
Kingma, D. P. and Ba, J. (2014) · 2014
Cited alongside, same era.
New insights and perspectives on the natural gradient method
Martens, J. (2014) · 2014
Cited alongside, same era.
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Gaussian variational approximation with a factor covariance structure
Ong, V. M.-H., Nott, D. J., and Smith, M. S. (2018) · 2018
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Gaussian variational approximation with sparse precision matrices
Tan, L. and Nott, D. (2018) · 2018
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Fast and simple natural-gradient variational inference with mixture of exponential-family approximations
Lin, W., Khan, M. E., and Schmidt, M. (2019) · 2019
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Concentration of tempered posteriors and of their variational approximations
Alquier, P. and Ridgway, J. (2020) · 2020
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Convergence rates of variational posterior distributions
Zhang, F. and Gao, C. (2020) · 2020
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