The learned inexact project gradient descent algorithm
Giryes R, Eldar YC, Bronstein AM, Sapiro G. 2018. The learned inexact project gradient descent algorithm. 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE International Conference on Acoustics, Speech, and Signal Processing, 8462136.
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Conference Paper
| Published
| English
Author
Giryes, Raja;
Eldar, Yonina C.;
Bronstein, Alex M.ISTA
;
Sapiro, Guillermo

Abstract
Accelerating iterative algorithms for solving inverse problems using neural networks have become a very popular strategy in the recent years. In this work, we propose a theoretical analysis that may provide an explanation for its success. Our theory relies on the usage of inexact projections with the projected gradient descent (PGD) method. It is demonstrated in various problems including image super-resolution.
Publishing Year
Date Published
2018-09-13
Proceedings Title
2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Publisher
IEEE
Article Number
8462136
Conference
IEEE International Conference on Acoustics, Speech, and Signal Processing
Conference Location
Calgary, AB, Canada
Conference Date
2018-04-15 – 2018-04-20
eISSN
IST-REx-ID
Cite this
Giryes R, Eldar YC, Bronstein AM, Sapiro G. The learned inexact project gradient descent algorithm. In: 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE; 2018. doi:10.1109/icassp.2018.8462136
Giryes, R., Eldar, Y. C., Bronstein, A. M., & Sapiro, G. (2018). The learned inexact project gradient descent algorithm. In 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). Calgary, AB, Canada: IEEE. https://doi.org/10.1109/icassp.2018.8462136
Giryes, Raja, Yonina C. Eldar, Alex M. Bronstein, and Guillermo Sapiro. “The Learned Inexact Project Gradient Descent Algorithm.” In 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2018. https://doi.org/10.1109/icassp.2018.8462136.
R. Giryes, Y. C. Eldar, A. M. Bronstein, and G. Sapiro, “The learned inexact project gradient descent algorithm,” in 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Calgary, AB, Canada, 2018.
Giryes R, Eldar YC, Bronstein AM, Sapiro G. 2018. The learned inexact project gradient descent algorithm. 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE International Conference on Acoustics, Speech, and Signal Processing, 8462136.
Giryes, Raja, et al. “The Learned Inexact Project Gradient Descent Algorithm.” 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 8462136, IEEE, 2018, doi:10.1109/icassp.2018.8462136.