Abdullah H Al-Shabili, Xiaojian Xu, Ivan Selesnick, and Ulugbek S Kamilov. Bregman plug-and-play priors. In 2022 IEEE International Conference on Image Processing (ICIP), pages 241-245. IEEE, 2022.
Hédy Attouch, Jérôme Bolte, Patrick Redont, and Antoine Soubeyran. Proximal alternating minimization and projection methods for nonconvex problems: An approach based on the kurdyka-łojasiewicz inequality. Mathematics of operations research, 35(2):438-457, 2010.
Hedy Attouch, Jérôme Bolte, and Benar Fux Svaiter. Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized gauss-seidel methods. Mathematical Programming, 137(1-2):91-129, 2013.
Arindam Banerjee, Srujana Merugu, Inderjit S Dhillon, Joydeep Ghosh, and John Lafferty. Clustering with bregman divergences. Journal of machine learning research, 6(10), 2005.
Heinz H Bauschke, Jérôme Bolte, and Marc Teboulle. A descent lemma beyond lipschitz gradient continuity: first-order methods revisited and applications. Mathematics of Operations Research, 42(2):330-348, 2017.
Amir Beck. First-order methods in optimization. SIAM, 2017.
Mario Bertero, Patrizia Boccacci, Gabriele Desiderà, and Giuseppe Vicidomini. Image deblurring with poisson data: from cells to galaxies. Inverse Problems, 25(12):123006, 2009.
Jérôme Bolte, Aris Daniilidis, and Adrian Lewis. The lojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems. SIAM Journal on Optimization, 17(4):1205-1223, 2007.
Jérôme Bolte, Aris Daniilidis, Olivier Ley, and Laurent Mazet. Characterizations of lojasiewicz inequalities: subgradient flows, talweg, convexity. Transactions of the American Mathematical Society, 362(6):3319-3363, 2010.
Jérôme Bolte, Shoham Sabach, Marc Teboulle, and Yakov Vaisboud. First order methods beyond convexity and lipschitz gradient continuity with applications to quadratic inverse problems. SIAM Journal on Optimization, 28(3):2131-2151, 2018.
Jérôme Boulanger, Nelly Pustelnik, Laurent Condat, Lucie Sengmanivong, and Tristan Piolot. Nonsmooth convex optimization for structured illumination microscopy image reconstruction. Inverse problems, 34(9):095004, 2018.
Regev Cohen, Yochai Blau, Daniel Freedman, and Ehud Rivlin. It has potential: Gradient-driven denoisers for convergent solutions to inverse problems. Advances in Neural Information Processing Systems, 34, 2021.
Patrick L. Combettes and Jean-Christophe Pesquet. Proximal splitting methods in signal processing. In Fixed-Point Algorithms for Inverse Problems in Science and Engineering, pages 185-212. Springer, 2011.
Michel Coste. An introduction to semialgebraic geometry, 2000.
Bradley Efron. Tweedie's formula and selection bias. Journal of the American Statistical Association, 106(496):1602-1614, 2011.
Mario AT Figueiredo and Jose M Bioucas-Dias. Deconvolution of poissonian images using variable splitting and augmented lagrangian optimization. In 2009 IEEE/SP 15th Workshop on Statistical Signal Processing, pages 733-736. IEEE, 2009.
Mário AT Figueiredo and José M Bioucas-Dias. Restoration of poissonian images using alternating direction optimization. IEEE transactions on Image Processing, 19(12):3133-3145, 2010.
Rémi Gribonval. Should penalized least squares regression be interpreted as maximum a posteriori estimation? IEEE Transactions on Signal Processing, 59(5):2405-2410, 2011.