English

Adaptive image processing: a bilevel structure learning approach for mixed-order total variation regularizers

Analysis of PDEs 2019-03-19 v1

Abstract

A class of mixed-order \emph{PDE}-constraint regularizer for image processing problem is proposed, generalizing the standard first order total variation (TV)(TV). A semi-supervised (bilevel) training scheme, which provides a simultaneous optimization with respect to parameters and the new class of regularizers, is studied. Also, A finite approximation method, which used to solve the global optimization solutions of such training scheme, is introduced and analyzed.

Keywords

Cite

@article{arxiv.1903.06911,
  title  = {Adaptive image processing: a bilevel structure learning approach for mixed-order total variation regularizers},
  author = {Pan Liu},
  journal= {arXiv preprint arXiv:1903.06911},
  year   = {2019}
}
R2 v1 2026-06-23T08:10:10.198Z