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ICML
2008
IEEE
16 years 1 months ago
A decoupled approach to exemplar-based unsupervised learning
A recent trend in exemplar based unsupervised learning is to formulate the learning problem as a convex optimization problem. Convexity is achieved by restricting the set of possi...
Gökhan H. Bakir, Sebastian Nowozin
MP
2008
92views more  MP 2008»
15 years 1 months ago
Invariance and efficiency of convex representations
We consider two notions for the representations of convex cones: G-representation and liftedG-representation. The former represents a convex cone as a slice of another; the latter...
Chek Beng Chua, Levent Tunçel
AUTOMATICA
2007
129views more  AUTOMATICA 2007»
15 years 1 months ago
Robust control of polytopic systems by convex optimization
— Robust control synthesis of linear time-invariant SISO polytopic systems is investigated using the polynomial approach. A convex set of all stabilizing controllers for a polyto...
Alireza Karimi, Hamid Khatibi, Roland Longchamp
ESA
2010
Springer
227views Algorithms» more  ESA 2010»
15 years 2 months ago
Approximating Parameterized Convex Optimization Problems
We consider parameterized convex optimization problems over the unit simplex, that depend on one parameter. We provide a simple and efficient scheme for maintaining an -approximat...
Joachim Giesen, Martin Jaggi, Sören Laue
COMPGEOM
2007
ACM
15 years 5 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