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APPML
2008
77views more  APPML 2008»
13 years 5 months ago
Antipodality in convex cones and distance to unpointedness
We provide a complete answer to the problem which consists in finding an unpointed convex cone lying at minimal bounded Pompeiu-Hausdorff distance from a pointed one. We give also...
Alfredo N. Iusem, Alberto Seeger
EOR
2007
113views more  EOR 2007»
13 years 5 months ago
Duality for location problems with unbounded unit balls
Abstract. Given an optimization problem with a composite of a convex and componentwise increasing function with a convex vector function as objective function, by means of the conj...
Gert Wanka, Radu Ioan Bot, Emese Vargyas
COLT
2006
Springer
13 years 9 months ago
Unifying Divergence Minimization and Statistical Inference Via Convex Duality
Abstract. In this paper we unify divergence minimization and statistical inference by means of convex duality. In the process of doing so, we prove that the dual of approximate max...
Yasemin Altun, Alexander J. Smola
CDC
2008
IEEE
14 years 2 days ago
Convex duality and entropy-based moment closures: Characterizing degenerate densities
A common method for constructing a function from a finite set of moments is to solve a constrained minimization problem. The idea is to find, among all functions with the given ...
Cory D. Hauck, C. David Levermore, André L....