M.N. Nguyen, H.A. Le Thi, G. Daniel, T.A. Nguyen, Smoothing techniques and difference of convex functions algorithms for image reconstructions.

Abstract: In this paper, we study characterizations of differentiability for real-valued functions based on generalized differentiation. These characterizations provide the mathematical foundation for Nesterov's smoothing techniques in infinite dimensions. As an application, we provide a simple approach to image reconstructions based on Nesterov's smoothing and algorithms for minimizing differences of convex (DC) functions that involve the l1−l2 regularization.

 

Keywords: Generalized differentiation, Nesterov's smoothing techniques, DC algorithm, image reconstruction.

 

Citation: Mau Nam Nguyen, Hoai An Le Thi, Giles Daniel, Thai An Nguyen, Smoothing techniques and difference of convex functions algorithms for image reconstructions. Optimization, pp. 1-33, 2019. Published online: 03 August 2019. DOI: 10.1080/02331934.2019.1648467

 

Download link