Buscar
Mostrando ítems 11-20 de 33
Artículo
Gauge Distances and Median Hyperplanes
(Springer, 2001-01-01)
A median hyperplane in d-dimensional space minimizes the weighted sum of the distances from a finite set of points to it. When the distances from these points are measured by possibly different gauges, we prove the ...
Artículo
Finding the principal points of a random variable
(EDP Sciences, 2001)
The p-principal points of a random variable X with finite second moment are those p points in R minimizing the expected squared distance from X to the closest point. Although the determination of principal points involves ...
Artículo
Problemas de clasificación y optimización
(Real Academia Sevillana de Ciencias, 2003)
El desarrollo de técncias que permitan clasificar entes (seres vivos, elementos, problemas, ... ) en distintas categorías ha sido recurrente en diversas ramas del saber. La creación y difusión de grandes bases de datos y ...
Artículo
Optimal expected-distance separating halfspace
(INFORMS (Institute for Operations Research and Management Sciences), 2008-08)
One recently proposed criterion to separate two datasets in discriminant analysis, is to use a hyperplane which minimises the sum of distances to it from all the misclassified data points. Here all distances are supposed ...
Artículo
Optimization of the Norm of a Vector-Valued DC Function and Applications
(Springer, 2000-11-01)
In this paper, we show that a DC representation can be obtained explicitly for the composition of a gauge with a DC mapping, so that the optimization of certain functions involving terms of this kind can be made by using ...
Artículo
Optimal Positioning of a Mobile Service Unit on a Line
(Springer, 2002-03-01)
In this paper we address the problem of locating a mobile response unit when demand is distributed according to a random variable on a line. Properties are proven which reduce the problem to locating a non-mobile facility, ...
Artículo
A biobjective method for sample allocation in stratified sampling
(ELSEVIER SCIENCE BV, 2006-02-16)
The two main and contradicting criteria guiding sampling design are accuracy of estimators and sampling costs. In stratified random sampling, the sample size must be allocated to strata in order to optimize both objectives. ...
Artículo
On the norm of a dc function
(Springer, 2009-11-12)
It is well known that, if a vector-valued function can be written as difference of componentwise convex functions, the norm of such function inherits this property. In this note we show that, if the norm in use is monotonic ...
Artículo
Dominators for multiple-objective quasiconvex maximization problems
(Springer, 2000-01-06)
In this paper we address the problem of finding a dominator for a multiple-objective maximization problem with quasiconvex functions. The one-dimensional case is discussed in some detail, showing how a Branch-and-Bound ...