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» Convexity, Duality and Effects
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SIAMJO
2010
127views more  SIAMJO 2010»
13 years 2 months ago
Trace Norm Regularization: Reformulations, Algorithms, and Multi-Task Learning
We consider a recently proposed optimization formulation of multi-task learning based on trace norm regularized least squares. While this problem may be formulated as a semidefini...
Ting Kei Pong, Paul Tseng, Shuiwang Ji, Jieping Ye
ORL
2006
65views more  ORL 2006»
13 years 7 months ago
Solving asymmetric variational inequalities via convex optimization
Using duality, we reformulate the asymmetric variational inequality (VI) problem over a conic region as an optimization problem. We give sufficient conditions for the convexity of...
Michele Aghassi, Dimitris Bertsimas, Georgia Perak...
NIPS
2008
13 years 9 months ago
Mind the Duality Gap: Logarithmic regret algorithms for online optimization
We describe a primal-dual framework for the design and analysis of online strongly convex optimization algorithms. Our framework yields the tightest known logarithmic regret bound...
Shai Shalev-Shwartz, Sham M. Kakade
MP
2008
92views more  MP 2008»
13 years 7 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
CORR
2010
Springer
93views Education» more  CORR 2010»
13 years 7 months ago
Generalized roof duality and bisubmodular functions
Consider a convex relaxation ^f of a pseudo-boolean function f. We say that the relaxation is totally half-integral if ^f(x) is a polyhedral function with halfintegral extreme poi...
Vladimir Kolmogorov