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» Optimization of Convex Risk Functions
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SIAMIS
2010
283views more  SIAMIS 2010»
13 years 5 months ago
A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
We generalize the primal-dual hybrid gradient (PDHG) algorithm proposed by Zhu and Chan in [M. Zhu, and T. F. Chan, An Efficient Primal-Dual Hybrid Gradient Algorithm for Total Var...
Ernie Esser, Xiaoqun Zhang, Tony F. Chan
JGO
2011
83views more  JGO 2011»
13 years 5 months ago
Application of convex lexicographical optimization to the balance of GRTgaz gas grid
Shippers are daily users of the French gas grid. Differences between planned and effective gas demand unbalance the grid. To restore the balance, GRTgaz computes every day amoun...
Soizic Adam, J. Frédéric Bonnans, Ru...
WCE
2007
13 years 11 months ago
A Multidimensional Bisection Method for Minimizing Function over Simplex
—A new method for minimization problem over simplex, as a generalization of a well-known in onedimensional optimization bisection method is proposed. The convergence of the metho...
A. N. Baushev, E. Y. Morozova
ISNN
2005
Springer
14 years 4 months ago
One-Bit-Matching ICA Theorem, Convex-Concave Programming, and Combinatorial Optimization
Recently, a mathematical proof is obtained in (Liu, Chiu, Xu, 2004) on the so called one-bit-matching conjecture that all the sources can be separated as long as there is an one-to...
Lei Xu
WSC
2008
14 years 29 days ago
Optimizing portfolio tail measures: Asymptotics and efficient simulation optimization
We consider a portfolio allocation problem where the objective function is a tail event such as probability of large portfolio losses. The dependence between assets is captured th...
Sandeep Juneja