We propose and analyze an accelerated iterative dual diagonal descent algorithm for the solution of linear inverse problems with general regularization and data-fit functions. In particular, we develop an inertial approach of which we analyze both convergence and stability. Using tools from inexact proximal calculus, we prove early stopping results with optimal convergence rates for additive data-fit terms as well as more general cases, such as the Kullback-Leibler divergence, for which different type of proximal point approximations hold.
@article{arxiv.1912.12153,
title = {Accelerated iterative regularization via dual diagonal descent},
author = {Luca Calatroni and Guillaume Garrigos and Lorenzo Rosasco and Silvia Villa},
journal= {arXiv preprint arXiv:1912.12153},
year = {2023}
}