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Deep generative modeling has led to new and state of the art approaches for enforcing structural priors in a variety of inverse problems.
Numerical Optimization
J. Nocedal and S. J. Wright · 2006
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Generative adversarial networks
Ian J. Goodfellow, Jean Pouget-Abadie, Bing Mirza, Mehdi; Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio · 2014
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Why are deep nets reversible: A simple theory, with implications for training
Sanjeev Arora, Yingyu Liang, and Tengyu Ma · 2015
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A deep learning approach to structured signal recovery
Ali Mousavi, Ankit B Patel, and Richard G Baraniuk · 2015
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Perceptual losses for real-time style transfer and super-resolution
Justin Johnson, Alexandre Alahi, and Li Fei-Fei · 2016
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Photo-realistic single image super-resolution using a generative adversarial network
Christian Ledig, Lucas Theis, Ferenc Huszár, Jose Caballero, Andrew Cunningham, Alejandro Acosta, Andrew Aitken, Alykhan Tejani, Johannes Totz, Zehan Wang, et al · 2016
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Image restoration using convolutional auto-encoders with symmetric skip connections. arxiv preprint
Xiao-Jiao Mao, Chunhua Shen, and Yu-Bin Yang · 2016
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Pixel recurrent neural networks
Aaron van den Oord, Nal Kalchbrenner, and Koray Kavukcuoglu · 2016
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Amortised map inference for image super-resolution
Casper Kaae Sønderby, Jose Caballero, Lucas Theis, Wenzhe Shi, and Ferenc Huszár · 2016
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Generative visual manipulation on the natural image manifold
Jun-Yan Zhu, Philipp Krähenbühl, Eli Shechtman, and Alexei A Efros · 2016
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Compressed Sensing using Generative Models
A. Bora, A. Jalal, E. Price, and A. G. Dimakis · 2017
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Nonsmooth analysis and optimization
Christian Clason · 2017
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Global guarantees for enforcing deep generative priors by empirical risk
Paul Hand and Vladislav Voroninski · 2017
Cited alongside, same era.
Morteza Mardani, Hatef Monajemi, Vardan Papyan, Shreyas Vasanawala, David Donoho, and John Pauly · 2017
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Real-time adaptive image compression
Oren Rippel and Lubomir Bourdev · 2017
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Semantic image inpainting with deep generative models
Raymond A Yeh, Chen Chen, Teck Yian Lim, Alexander G Schwing, Mark Hasegawa-Johnson, and Minh N Do · 2017
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Deep decoder: Concise image representations from untrained non-convolutional networks
Reinhard Heckel and Paul Hand · 2018
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Deep denoising: Rate-optimal recovery of structured signals with a deep prior
Reinhard Heckel, Wen Huang, Paul Hand, and Vladislav Voroninski · 2018
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Tero Karras, Timo Aila, Samuli Laine, and Jaakko Lehtinen · 2017
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Learning to invert: Signal recovery via deep convolutional networks
Ali Mousavi and Richard G Baraniuk · 2017
Cited alongside, same era.
Deep generative adversarial networks for compressed sensing automates mri
Morteza Mardani, Enhao Gong, Joseph Y Cheng, Shreyas Vasanawala, Greg Zaharchuk, Marcus Alley, Neil Thakur, Song Han, William Dally, John M Pauly, et al · 2017
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Phase retrieval under a generative prior
Paul Hand, Oscar Leong, and Vladislav Voroninski · 2018
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Glow: Generative flow with invertible 1x1 convolutions
Diederik P Kingma and Prafulla Dhariwal · 2018
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Deep image prior
Dmitry Ulyanov, Andrea Vedaldi, and Victor Lempitsky · 2018
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