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...

In this paper we propose a new approach for constructing efficient schemes for non-smooth convex optimization. It is based on a special smoothing technique, which can be applied to functions with explicit max-structure. Our approach can be considered as an alternative to black-box minimization. From the viewpoint of efficiency estimates, we manage to improve the traditional bounds on the number...

We present a theoretical study of the recovery of an unknown vector x ∈ IR (a signal, an image) from noisy data y ∈ IR by minimizing with respect to x a regularized cost-function F(x, y) = Ψ(x, y) + αΦ(x), where Ψ is a data-fidelity term, Φ is a smooth regularization term and α > 0 is a parameter. Typically, Ψ(x, y) = ‖Ax − y‖ where A is a linear operator. The data-fidelity terms Ψ involved in ...