ANOR
2010
13 years 10 months ago
2010
We derive representations of higher order dual measures of risk in Lp spaces as suprema of integrals of Average Values at Risk with respect to probability measures on (0, 1] (Kusu...
CORR
2007
Springer
14 years 21 days ago
2007
Springer
Entropy (i.e. convex integral) functionals and extensions of these functionals are minimized on convex sets. This paper is aimed at reducing as much as possible the assumptions on ...
CCCG
2007
14 years 2 months ago
2007
Let S be a set system of convex sets in Rd . Helly’s theorem states that if all sets in S have empty intersection, then there is a subset S′ ⊂ S of size d+1 which also has e...
GD
2009
Springer
14 years 4 months ago
2009
Springer
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
COMPGEOM
2007
ACM
14 years 4 months ago
2007
ACM
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
ISIPTA
1999
IEEE
14 years 5 months ago
1999
IEEE
A solution is provided to the problem of computing a convex set of conditional probability distributions that characterize the state of a nonlinear dynamic system as it evolves in...
ISIPTA
2003
IEEE
14 years 6 months ago
2003
IEEE
We contrast three decision rules that extend Expected Utility to contexts where a convex set of probabilities is used to depict uncertainty: Γ-Maximin, Maximality, and E-admissib...
ESOP
2007
Springer
14 years 7 months ago
2007
Springer
In this paper we present an alternative approach to interprocedurally g linear inequality relations. We propose an abstraction of the effects of procedures through convex sets of t...
ICIP
2003
IEEE
15 years 2 months ago
2003
IEEE
In this paper, we present a technique for automatic color image inpainting, the art of modifying an image-region in a non-detectable form. The main algorithm is based on the theor...
ICIP
2004
IEEE
15 years 2 months ago
2004
IEEE
Pixels in hyperspectral images usually contain spectra from several classifiable objects, so that the recorded pixel is a mixture of the classes. Current methods estimate the prop...