E. Davoli, P. Liu:
One dimensional fractional order TGV: Gamma-convergence and bi-level training scheme
Communications in Mathematical Sciences 2017

P. Liu, X. Y. Lu:
Real order (an)-isotropic total variation in image processing - Part I:  analytical analysis and functional properties
(Submitted Paper) 2018

P. Liu, X. Y. Lu:
Real order (an)-isotropic total variation in image processing - Part II:  Learning of optimal structures
(Submitted Paper) 2019

E. Davoli, I. Fonseca, P. Liu:
Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme
Journal of Nonlinear Science (Accepted Paper) 2023