Devil's staircase for nonconvex interactions

Nao Devils Dortmund Team

The Nao Devils Dortmund have their roots in the teams Microsoft Hellhounds (and therefore part of the German Team), DoH!Bots and BreDoBrothers. The team had a number of successes, such as winning the RoboCup World Championship twice with the GermanTeam (2004 and 2005), winning the RoboCup German Open 2005, the Dutch Open and US Open 2006 with the Microsoft Hellhounds, and winning the Four-Legge...

Benson's algorithm for nonconvex multiobjective problems via nonsmooth Wolfe duality

‎In this paper‎, ‎we propose an algorithm to obtain an approximation set of the (weakly) nondominated points of nonsmooth multiobjective optimization problems with equality and inequality constraints‎. ‎We use an extension of the Wolfe duality to construct the separating hyperplane in Benson's outer algorithm for multiobjective programming problems with subdifferentiable functions‎. ‎We also fo...

Dembski, Darwin and Devils

Quasi-Newton Methods for Nonconvex Constrained Multiobjective Optimization

Here, a quasi-Newton algorithm for constrained multiobjective optimization is proposed. Under suitable assumptions, global convergence of the algorithm is established.

Staircase approximation validity for arbitrary-shaped gratings.

An electromagnetic study of the staircase approximation of arbitrary shaped gratings is conducted with three different grating theories. Numerical results on a deep aluminum sinusoidal grating show that the staircase approximation introduces sharp maxima in the local field map close to the edges of the profile. These maxima are especially pronounced in TM polarization and do not exist with the ...