Prediction techniques for dynamic imaging with online primal-dual methods

arXiv:2405.02497v1 Announce Type: cross
Abstract: Online optimisation facilitates the solution of dynamic inverse problems, such as image stabilisation, fluid flow monitoring, and dynamic medical imaging. In this paper, we improve upon previous work on predictive online primal-dual methods on two fronts. Firstly, we provide a more concise analysis that symmetrises previously unsymmetric regret bounds, and relaxes previous restrictive conditions on the dual predictor. Secondly, based on the latter, we develop several improved dual predictors. We numerically demonstrate their efficacy in …

abstract analysis arxiv cs.cv dynamic flow image imaging math.oc medical medical imaging monitoring optimisation paper prediction predictive primal solution type work