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» On the symmetry function of a convex set
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TSMC
2008
122views more  TSMC 2008»
15 years 6 months ago
A Geometric Approach to the Theory of Evidence
In this paper, we propose a geometric approach to the theory of evidence based on convex geometric interpretations of its two key notions of belief function (b.f.) and Dempster...
Fabio Cuzzolin
COLT
2010
Springer
15 years 4 months ago
Optimal Algorithms for Online Convex Optimization with Multi-Point Bandit Feedback
Bandit convex optimization is a special case of online convex optimization with partial information. In this setting, a player attempts to minimize a sequence of adversarially gen...
Alekh Agarwal, Ofer Dekel, Lin Xiao
MOR
2006
95views more  MOR 2006»
15 years 6 months ago
An Efficient Interior-Point Method for Convex Multicriteria Optimization Problems
In multicriteria optimization, several objective functions, conflicting with each other, have to be minimized simultaneously. We propose a new efficient method for approximating t...
Jörg Fliege
ICML
2003
IEEE
16 years 6 months ago
Online Convex Programming and Generalized Infinitesimal Gradient Ascent
Convex programming involves a convex set F Rn and a convex cost function c : F R. The goal of convex programming is to find a point in F which minimizes c. In online convex prog...
Martin Zinkevich
JMIV
2010
98views more  JMIV 2010»
15 years 4 months ago
Expectations of Random Sets and Their Boundaries Using Oriented Distance Functions
Shape estimation and object reconstruction are common problems in image analysis. Mathematically, viewing objects in the image plane as random sets reduces the problem of shape es...
Hanna K. Jankowski, Larissa I. Stanberry