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Neural networks that are based on unfolding of an iterative solver, such as LISTA (learned iterative soft threshold algorithm), are widely used due to their accelerated performance.
Regression shrinkage and selection via the lasso
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Atomic decomposition by basis pursuit
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A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics
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Convex optimization
Boyd, S. and Vandenberghe, L · 2004
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An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
Daubechies, I., Defrise, M., and De Mol, C · 2004
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A fast iterative shrinkage-thresholding algorithm for linear inverse problems
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Learning fast approximations of sparse coding
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Spectral regularization algorithms for learning large incomplete matrices
Mazumder, R., Hastie, T., and Tibshirani, R · 2010
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Plug-and-play priors for model based reconstruction
Venkatakrishnan, S. V., Bouman, C. A., and Wohlberg, B · 2013
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Deep unfolding: Model-based inspiration of novel deep architectures
Hershey, J. R., Roux, J. L., and Weninger, F · 2014
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Non-blind image deblurring method by local and nonlocal total variation models
Tang, S., Gong, W., Li, W., and Wang, W · 2014
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Learning efficient sparse and low rank models
Sprechmann, P., Bronstein, A., and Sapiro, G · 2015
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Deep networks for image super-resolution with sparse prior
Wang, Z., Liu, D., Yang, J., Han, W., and Huang, T · 2015
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Learning to learn by gradient descent by gradient descent
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Reconnet: Non-iterative reconstruction of images from compressively sensed measurements
Learned d-amp: Principled neural network based compressive image recovery
Metzler, C., Mousavi, A., and Baraniuk, R · 2017
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The little engine that could: Regularization by denoising (red)
Romano, Y., Elad, M., and Milanfar, P · 2017
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Accelerating eulerian fluid simulation with convolutional networks
Tompson, J., Schlachter, K., Sprechmann, P., and Perlin, K · 2017
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Theoretical linear convergence of unfolded ista and its practical weights and thresholds
Chen, X., Liu, J., Wang, Z., and Yin, W · 2018
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Tradeoffs between convergence speed and reconstruction accuracy in inverse problems
Giryes, R., Eldar, Y. C., Bronstein, A. M., and Sapiro, G · 2018
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Deep energy: Using energy functions for unsupervised training of dnns
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Kulkarni, K., Lohit, S., Turaga, P., Kerviche, R., and Ashok, A · 2016
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Wang, Z., Ling, Q., and Huang, T. S · 2016
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Golts, A., Freedman, D., and Elad, M · 2018
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Ista-net: Interpretable optimization-inspired deep network for image compressive sensing
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ALISTA: Analytic weights are as good as learned weights in LISTA
Liu, J., Chen, X., Wang, Z., and Yin, W · 2019
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On multi-layer basis pursuit, efficient algorithms and convolutional neural networks
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Deep network classification by scattering and homotopy dictionary learning
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Online detection of unusual events in videos via dynamic sparse coding
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Sparse coding with gated learned {ista}
Wu, K., Guo, Y., Li, Z., and Zhang, C · 2020
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