in practice, obtaining the global optimum for the economic dispatch {bf (ed)}problem with ramp rate limits and prohibited operating zones is presents difficulties. this paper presents a new andefficient method for solving the economic dispatch problem with non-smooth cost functions using afuzzy adaptive genetic algorithm (faga). the proposed algorithm  deals  with the issue ofcontrolling the ex...

We consider signal and image restoration using convex cost-functions composed of a non-smooth data-fidelity term and a smooth regularization term. First, we provide a convergent method to minimize such cost-functions. Then we propose an efficient method to remove impulsive noise by minimizing cost-functions composed of an l1 data-fidelity term and an edge-preserving regularization term. Their m...

this study deals with the 3d recovering of magnetic susceptibility model by incorporating the sparsity-based constraints in the inversion algorithm. for this purpose, the area under prospect was divided into a large number of rectangular prisms in a mesh with unknown susceptibilities. tikhonov cost functions with two sparsity functions were used to recover the smooth parts as well as the sharp ...

We prove that, for general cost functions on R, or for the cost d/2 on a Riemannian manifold, optimal transport maps between smooth densities are always smooth outside a closed singular set of measure zero.

The performance of online convex optimization algorithms in a dynamic environment is often expressed terms the regret, which measures decision maker’s against sequence time-varying comparators. In analysis prior works assume Lipschitz continuity or uniform smoothness cost functions. However, there are many important functions practice that do not satisfy these conditions. such cases, analyses a...

This study deals with the 3D recovering of magnetic susceptibility model by incorporating the sparsity-based constraints in the inversion algorithm. For this purpose, the area under prospect was divided into a large number of rectangular prisms in a mesh with unknown susceptibilities. Tikhonov cost functions with two sparsity functions were used to recover the smooth parts as well as the sharp ...