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ANOR

2010

8 years 9 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

9 years 2 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

9 years 1 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

9 years 3 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

9 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

9 years 4 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

9 years 5 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

9 years 6 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

10 years 1 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

10 years 1 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...