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» Convexity, Duality and Effects
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IFIPTCS
2010
13 years 2 months ago
Convexity, Duality and Effects
This paper describes some basic relationships between mathematical structures that are relevant in quantum logic and probability, namely convex sets, effect algebras, and a new cl...
Bart Jacobs
ICML
2000
IEEE
14 years 5 months ago
Duality and Geometry in SVM Classifiers
We develop an intuitive geometric interpretation of the standard support vector machine (SVM) for classification of both linearly separable and inseparable data and provide a rigo...
Kristin P. Bennett, Erin J. Bredensteiner
AUTOMATICA
2005
136views more  AUTOMATICA 2005»
13 years 4 months ago
Conjugate Lyapunov functions for saturated linear systems
Based on a recent duality theory for linear differential inclusions (LDIs), the condition for stability of an LDI in terms of one Lyapunov function can be easily derived from that...
Tingshu Hu, Rafal Goebel, Andrew R. Teel, Zongli L...
MOR
2006
93views more  MOR 2006»
13 years 4 months ago
Optimization of Convex Risk Functions
We consider optimization problems involving convex risk functions. By employing techniques of convex analysis and optimization theory in vector spaces of measurable functions we d...
Andrzej Ruszczynski, Alexander Shapiro
JGO
2008
98views more  JGO 2008»
13 years 4 months ago
Duality for almost convex optimization problems via the perturbation approach
Abstract. We deal with duality for almost convex finite dimensional optimization problems by means of the classical perturbation approach. To this aim some standard results from th...
Radu Ioan Bot, Gábor Kassay, Gert Wanka