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We develop a generative model-based approach to Bayesian inverse problems, such as image reconstruction from noisy and incomplete images.
Unsupervised data imputation via variational inference of deep subspaces
Dalca, A. V., Guttag, J. V., and Sabuncu, M. R · 1903
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Gradient-based learning applied to document recognition
Lecun, Y., Bottou, L., Bengio, Y., and Haffner, P · 1998
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The variational gaussian approximation revisited
Opper, M. and Archambeau, C · 2009
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Auto-encoding variational bayes
Kingma, D. P. and Welling, M · 2013
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Adam: A method for stochastic optimization
Kingma, D. P. and Ba, J · 2014
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Stochastic backpropagation and approximate inference in deep generative models
Rezende, D. J., Mohamed, S., and Wierstra, D · 2014
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Image super-resolution using deep convolutional networks
Dong, C., Loy, C. C., He, K., and Tang, X · 2015
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Makhzani, A., Shlens, J., Jaitly, N., Goodfellow, I., and Frey, B · 2015
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Density estimation using real NVP
Dinh, L., Sohl-Dickstein, J., and Bengio, S · 2016
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Deep convolutional neural network for inverse problems in imaging
Jin, K. H., McCann, M. T., Froustey, E., and Unser, M · 2016
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Automatic differentiation variational inference
Kucukelbir, A., Tran, D., Ranganath, R., Gelman, A., and Blei, D. M · 2017
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Adversarial Variational Bayes: Unifying Variational Autoencoders and Generative Adversarial Networks
Mescheder, L., Nowozin, S., and Geiger, A · 2017
Ulyanov, D., Vedaldi, A., and Lempitsky, V · 2017
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It Takes (Only) Two: Adversarial Generator-Encoder Networks
Ulyanov, D., Vedaldi, A., and Lempitsky, V · 2017
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Adler, J. and Öktem, O · 2018
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PIE: Pseudo-Invertible Encoder, sep 2018
Beitler, J. J., Sosnovik, I., and Smeulders, A · 2018
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Conditional inference in pre-trained variational autoencoders via cross-coding
Wu, G., Domke, J., and Sanner, S · 2018
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Recurrent Inference Machines for Solving Inverse Problems
Putzky, P. and Welling, M · 2017
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Tolstikhin, I., Bousquet, O., Gelly, S., and Schoelkopf, B · 2017
Cited alongside, same era.
MIWAE: Deep Generative Modelling and Imputation of Incomplete Data
Mattei, P.-A. and Frellsen, J
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Leveraging the Exact Likelihood of Deep Latent Variable Models
Mattei, P.-A. and Frellsen, J
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On the relationship between normalising flows and variational- and denoising autoencoders, 2019
Gritsenko, A. A., Snoek, J., and Salimans, T · 2019
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Posterior inference unchained with EL_2O
Seljak, U. and Yu, B · 2019
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