Non-convex, non-local functionals converging to the total variation

Non-convex, non-local functionals converging to the total variation

Article history: Received 14 November 2016 Accepted 14 November 2016 Available online 12 December 2016 Presented by Haïm Brézis We present new results concerning the approximation of the total variation, ∫ |∇u|, of a function u by non-local, non-convex functionals of the form δ(u)= ∫ ∫ δφ (|u(x)− u(y)|/δ) |x− y|d+1 dxdy, as δ → 0, where is a domain in Rd and φ : [0, +∞) → [0, +∞) is a non-decre...

Evolution by Non-Convex Functionals

We establish a semi-group solution concept for morphological differential equations, such as the mean curvature flow equation. The proposed method consists in generating flows from generalized minimizers of nonconvex energy functionals. We use relaxation and convexification to define generalized minimizers. The main part of this work consists in verification of the solution concept by comparing...

non-corrective approach to pronunciation

the aim of this study has been to find answers for the following questions: 1. what is the effect of immediate correction on students pronunciation errors? 2. what would be the effect of teaching the more rgular patterns of english pronunciation? 3. is there any significant difference between the two methods of dealing with pronuciation errore, i. e., correction and the teaching of the regular ...

Approximation of Non-convex Functionals in Gbv Approximation of Non-convex Functionals in Gbv

Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding

Numerical algorithms for a special class of non-smooth and non-convex minimization problems in infinite dimensional Hilbert spaces are considered. The functionals under consideration are the sum of a smooth and non-smooth functional, both possibly non-convex. We propose a generalization of the gradient projection method and analyze its convergence properties. For separable constraints in the se...