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Latent variable models can be used to probabilistically "fill-in" missing data entries.
Multivariate Analysis
Mardia, K. V., Kent, J. T., and Bibby, J. M. (1979) · 1979
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Statistical Analysis with Missing Data
Little, R. J. A. and Rubin, D. B. (1987) · 1987
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Probabilistic principal components analysis
Tipping, M. E. and Bishop, C. M. (1999) · 1999
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Practical Approaches to Principal Component Analysis in the Presence of Missing Values
Ilin, A. and Raiko, T. (2010) · 2000
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Products of Gaussians and Probabilistic Minor Component Analysis
Williams, C. K. I. and Agakov, F. V. (2002) · 2002
Earlier work this paper cites.
Pattern Recognition and Machine Learning
Bishop, C. M. (2006) · 2006
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Extracting and Composing Robust Features with Denoising Autoencoders
Vincent, P., Larochelle, H., Bengio, Y., and Manzagol, P. (2008) · 2008
Cited alongside, same era.
Generative Adversarial Nets
Goodfellow, I., Pouget-Abadie, J., Mirza, M., Xu, B., Warde-Farley, D., Ozair, S., Courville, A., and Bengio, Y. (2014) · 2014
Cited alongside, same era.
Auto-Encoding Variational Bayes
Kingma, D. P. and Welling, M. (2014) · 2014
Cited alongside, same era.
Stochastic Backpropagation and Approximate Inference in Deep Generative Models
Rezende, D. J., Mohamed, S., and Wierstra, D. (2014) · 2014
Cited alongside, same era.
Principal components analysis with missing values: a comparitive survey of methods
Dray, S. and Josse, J. (2015) · 2015
Later among the works it cites.
Context Encoders: Feature Learning by Inpainting
Pathak, D., Krähenbühl, P., Donahue, J., and Darrell, T. (2016) · 2016
Later among the works it cites.
Handling Incomplete Heterogeneous Data using VAEs
Nazabal, A., Olmos, P. M., Ghahramani, Z., and Valera, I. (2018) · 2018
Closest in time.
Generative Models of Visually Grounded Imagination
Vedantam, R., Fischer, I., Huang, J., and Murphy, K. P. (2018) · 2018
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