Rémi Gribonval and Mila Nikolova. A characterization of proximity operators. Journal of Mathematical Imaging and Vision, 62(6):773-789, 2020.
Samuel Hurault, Arthur Leclaire, and Nicolas Papadakis. Gradient step denoiser for convergent plug-and-play. arXiv preprint arXiv:2110.03220, 2021.
Samuel Hurault, Arthur Leclaire, and Nicolas Papadakis. Proximal denoiser for convergent plug-and-play optimization with nonconvex regularization. In International Conference on Machine Learning, pages 9483-9505. PMLR, 2022.
Samuel Hurault, Antonin Chambolle, Arthur Leclaire, and Nicolas Papadakis. A relaxed proximal gradient descent algorithm for convergent plug-and-play with proximal denoiser. In Scale Space and Variational Methods in Computer Vision: 9th International Conference, SSVM 2023, Santa Margherita di Pula, Italy, May 21-25, 2023, Proceedings, pages 379-392. Springer, 2023.
U. S. Kamilov, C. A. Bouman, G. T. Buzzard, and B. Wohlberg. Plug-and-play methods for integrating physical and learned models in computational imaging. IEEE Signal Process. Mag., 40(1):85-97, January 2023.
Ulugbek S. Kamilov, Hassan Mansour, and Brendt Wohlberg. A plug-and-play priors approach for solving nonlinear imaging inverse problems. IEEE Signal Process. Lett., 24(12):1872-1876, December 2017.
Kwanyoung Kim and Jong Chul Ye. Noise2score: tweedie's approach to self-supervised image denoising without clean images. Advances in Neural Information Processing Systems, 34:864-874, 2021.
Steven G Krantz and Harold R Parks. A primer of real analytic functions. Springer Science & Business Media, 2002.
Anat Levin, Yair Weiss, Fredo Durand, and William T Freeman. Understanding and evaluating blind deconvolution algorithms. In 2009 IEEE Conference on Computer Vision and Pattern Recognition, pages 1964-1971. IEEE, 2009.
Michael K Ng, Pierre Weiss, and Xiaoming Yuan. Solving constrained total-variation image restoration and reconstruction problems via alternating direction methods. SIAM journal on Scientific Computing, 32(5):2710-2736, 2010.
Peter Ochs, Yunjin Chen, Thomas Brox, and Thomas Pock. ipiano: Inertial proximal algorithm for nonconvex optimization. SIAM Journal on Imaging Sciences, 7(2):1388-1419, 2014.
R Tyrrell Rockafellar. Convex analysis, volume 11. Princeton university press, 1997.
Yaniv Romano, Michael Elad, and Peyman Milanfar. The little engine that could: Regularization by denoising (red). SIAM Journal on Imaging Sciences, 10(4):1804-1844, 2017.
Arie Rond, Raja Giryes, and Michael Elad. Poisson inverse problems by the plug-and-play scheme. Journal of Visual Communication and Image Representation, 41:96-108, 2016.
Ernest Ryu, Jialin Liu, Sicheng Wang, Xiaohan Chen, Zhangyang Wang, and Wotao Yin. Plug-and-play methods provably converge with properly trained denoisers. In International Conference on Machine Learning, pages 5546-5557. PMLR, 2019.
Yash Sanghvi, Abhiram Gnanasambandam, and Stanley H Chan. Photon limited non-blind deblurring using algorithm unrolling. IEEE Transactions on Computational Imaging, 8:851-864, 2022.
Simon Setzer, Gabriele Steidl, and Tanja Teuber. Deblurring poissonian images by split bregman techniques. Journal of Visual Communication and Image Representation, 21(3):193-199, 2010.
Masahiro Shiota. Geometry of subanalytic and semialgebraic sets, volume 150. Springer Science & Business Media, 2012.
Yu Sun, Zihui Wu, Xiaojian Xu, Brendt Wohlberg, and Ulugbek S Kamilov. Scalable plug-and-play admm with convergence guarantees. IEEE Transactions on Computational Imaging, 7:849-863, 2021.