We consider the obstacle problem in Sobolev spaces, of order strictly greater then the dimension of the domain. The aim is to propose an algorithm to find the solution of the obstacle problem, based on the solution of the dual approximating problem, which is, in fact, a finite dimensional quadratic minimization problem. MSC: 65K10, 65K15, 90C59, 49N15. keywords: obstacle problem, dual problem

Minimization methods for training feed-forward networks with Backpropagation are compared. Feedforward network training is a special case of functional minimization, where no explicit model of the data is assumed. Therefore due to the high dimensionality of the data, linearization of the training problem through use of orthogonal basis functions is not desirable. The focus is functional minimiz...

In this paper, we present a multi-objective optimization approach for indoor wireless network planning subject to constraints for exposure minimization, coverage maximization and power consumption minimization. We consider heterogeneous networks consisting of WiFi Access Points (APs) and Long Term Evolution (LTE) femtocells. We propose a design framework based on Multi-objective Biogeography-ba...

In this paper we describe a new method for medical image registration. The registration is formulated as a minimization problem involving robust estimators. We propose an e cient hierarchical optimization framework which is both multiresolution and multigrid. An anatomical segmentation of the cortex is introduced in the adaptive partitioning of the volume on which the multigrid minimization is ...

This paper analyses the optimal tax policy and public provision of private goods when individuals di¤er in two respects: income-earning ability and rationality. Publicly provided goods should be overprovided or subsidised, relative to the decentralised optimum, if society’s marginal valuation of them exceeds the individual valuation and if these goods help relax the self-selection constraints, ...

l1-norm minimization was utilized in the imputation of microarray missing values, which is an important procedure in bioinformatics experiments. Two l1 approaches, based on the framework of local least squares (LLS) and iterative biclusterbased least squares (bicluster-iLLS) respectively, were employed. Imputed datasets of the l1 approaches were compared with those of traditional l2 methods. Th...

The increasing international mobility of high-skill individuals is often seen as posing a threat to domestic social welfare, by limiting the ability of governments to tax these individuals and redistribute to the poor. In this note, we examine a simple dynamic nonlinear income tax model without commitment. In this setting, it is shown that the threat of emigration by high-skill individuals faci...

European economies are characterized by unionized labor markets and a pronounced governmental redistribution of income. This paper studies a model where those two features are combined with the possibility for individuals to make charitable contributions to the poor. The model exhibits equilibrium unemployment that increases with the degree of altruism. It is shown that a more progressive incom...