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» Convexity, Duality and Effects
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SIAMJO
2008
100views more  SIAMJO 2008»
13 years 6 months ago
On Extension of Fenchel Duality and its Application
By considering the epigraphs of conjugate functions, we extend the Fenchel duality, applicable to a (possibly infinite) family of proper lower semicontinuous convex functions on a ...
Anhua Lin, Guoyin Li, Kung Fu Ng
SIAMCO
2000
74views more  SIAMCO 2000»
13 years 6 months ago
Nonsmooth Duality, Sandwich, and Squeeze Theorems
Given a nonlinear function h separating a convex and a concave function, we provide various conditions under which there exists an affine separating function whose graph is somewhe...
A. S. Lewis, R. E. Lucchetti
ICML
2004
IEEE
14 years 7 months ago
Multiple kernel learning, conic duality, and the SMO algorithm
While classical kernel-based classifiers are based on a single kernel, in practice it is often desirable to base classifiers on combinations of multiple kernels. Lanckriet et al. ...
Francis R. Bach, Gert R. G. Lanckriet, Michael I. ...
JGO
2010
96views more  JGO 2010»
13 years 4 months ago
Duality and optimality conditions for generalized equilibrium problems involving DC functions
We consider a generalized equilibrium problem involving DC functions which is called (GEP). For this problem we establish two new dual formulations based on Toland-Fenchel-Lagrange...
N. Dinh, Jean-Jacques Strodiot, Van Hien Nguyen