Plug-and-Play Algorithm Convergence Analysis From The Standpoint of Stochastic Differential Equation

arXiv:2404.13866v1 Announce Type: new
Abstract: The Plug-and-Play (PnP) algorithm is popular for inverse image problem-solving. However, this algorithm lacks theoretical analysis of its convergence with more advanced plug-in denoisers. We demonstrate that discrete PnP iteration can be described by a continuous stochastic differential equation (SDE). We can also achieve this transformation through Markov process formulation of PnP. Then, we can take a higher standpoint of PnP algorithms from stochastic differential equations, and give a unified framework for the convergence property …

abstract advanced algorithm analysis arxiv continuous convergence cs.cv differential differential equation equation however image iteration math.pr pnp popular problem-solving stochastic type