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ANOR
2010
107views more  ANOR 2010»
8 years 9 months ago
Kusuoka representation of higher order dual risk measures
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...
Darinka Dentcheva, Spiridon Penev, Andrzej Ruszczy...
CORR
2007
Springer
85views Education» more  CORR 2007»
9 years 2 days ago
Minimization of entropy functionals
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 ...
Christian Léonard
CCCG
2007
9 years 1 months ago
Contraction and Expansion of Convex Sets
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...
Michael Langberg, Leonard J. Schulman
GD
2009
Springer
9 years 3 months ago
Complexity of Some Geometric and Topological Problems
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...
Marcus Schaefer
COMPGEOM
2007
ACM
9 years 4 months ago
An optimal generalization of the centerpoint theorem, and its extensions
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...
Saurabh Ray, Nabil H. Mustafa
ISIPTA
1999
IEEE
9 years 4 months ago
Nonlinear Filtering of Convex Sets of Probability Distributions
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...
John Kenney, Wynn C. Stirling
ISIPTA
2003
IEEE
110views Mathematics» more  ISIPTA 2003»
9 years 5 months ago
Extensions of Expected Utility Theory and Some Limitations of Pairwise Comparisons
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...
Mark J. Schervish, Teddy Seidenfeld, Joseph B. Kad...
ESOP
2007
Springer
9 years 6 months ago
Interprocedurally Analysing Linear Inequality Relations
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...
Helmut Seidl, Andrea Flexeder, Michael Petter
ICIP
2003
IEEE
10 years 1 months ago
Projection based image and video inpainting using wavelets
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...
Kedar A. Patwardhan, Guillermo Sapiro
ICIP
2004
IEEE
10 years 1 months ago
A set theoretic approach to target detection using spectral signature statistics
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...
David M. Rouse, H. Joel Trussell
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