This paper presents a control of adaptive regularization for a hybrid variational model and its application to the denoising of color images, which combines total variation (TV) and \(L^2\) ...

Abstract: Variational methods are widely used in the meteorological community to retrieve 3-D wind from single light detection and ranging (LiDAR) observations, but the weights for loss function ...

Competition between short- and long-range interactions underpins many emergent phenomena in nature. Despite rapid progress in their experimental control, computational methods capable of accurately ...

One of the models developed for the regularization function is the total variation. The total variation model relies on the flow of gradient descent of the image smoothness. This chapter has ...

ABSTRACT: In this paper, we study the existence of solution of a critical fractional equation; we will use a variational approach to find the solution. Firstly, we will find a suitable functional to ...

ABSTRACT: In this paper, we investigate the convergence of the generalized Bregman alternating direction method of multipliers (ADMM) for solving nonconvex separable problems with linear constraints.