An optimal bilevel optimization model for the generalized total variation and anisotropic tensor parameters selection

作者：

Highlights：

• This paper introduces a bilevel problem for identifying parameters in generalized total variation and anisotropic tensor.

• The existence of the solution for the bilevel model has been proved.

• A rigorous primal-dual algorithm is applied to the optimization problem to identify the desired parameters.

• Representative experiments have been carried-out and many comparison have been checked to show the efficiency of the proposed model.

摘要

•This paper introduces a bilevel problem for identifying parameters in generalized total variation and anisotropic tensor.•The existence of the solution for the bilevel model has been proved.•A rigorous primal-dual algorithm is applied to the optimization problem to identify the desired parameters.•Representative experiments have been carried-out and many comparison have been checked to show the efficiency of the proposed model.

论文关键词：Total generalized variation,PDE-Constrained optimization,Bilevel optimization,Primal-dual

论文评审过程：Received 12 October 2020, Revised 1 March 2022, Accepted 27 August 2022, Available online 27 September 2022, Version of Record 27 September 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127510