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SIAMSC
2010
215views more  SIAMSC 2010»
13 years 8 months ago
A Fast Algorithm for Sparse Reconstruction Based on Shrinkage, Subspace Optimization, and Continuation
We propose a fast algorithm for solving the ℓ1-regularized minimization problem minx∈Rn µ x 1 + Ax − b 2 2 for recovering sparse solutions to an undetermined system of linea...
Zaiwen Wen, Wotao Yin, Donald Goldfarb, Yin Zhang
SIAMCO
2008
121views more  SIAMCO 2008»
13 years 9 months ago
Numerical Verification of Optimality Conditions
A class of optimal control problem for a semilinear elliptic partial differential equation with control constraints is considered. It is well known that sufficient second-order con...
Arnd Rösch, Daniel Wachsmuth
CPHYSICS
2006
204views more  CPHYSICS 2006»
13 years 9 months ago
Genetically controlled random search: a global optimization method for continuous multidimensional functions
A new stochastic method for locating the global minimum of a multidimensional function inside a rectangular hyperbox is presented. A sampling technique is employed that makes use ...
Ioannis G. Tsoulos, Isaac E. Lagaris
SIAMJO
2008
112views more  SIAMJO 2008»
13 years 9 months ago
Parallel Space Decomposition of the Mesh Adaptive Direct Search Algorithm
This paper describes a Parallel Space Decomposition (PSD) technique for the Mesh Adaptive Direct Search (MADS) algorithm. MADS extends Generalized Pattern Search for constrained n...
Charles Audet, J. E. Dennis, Sébastien Le D...
GECCO
2007
Springer
289views Optimization» more  GECCO 2007»
14 years 3 months ago
A discrete particle swarm optimization algorithm for the generalized traveling salesman problem
Dividing the set of nodes into clusters in the well-known traveling salesman problem results in the generalized traveling salesman problem which seeking a tour with minimum cost p...
Mehmet Fatih Tasgetiren, Ponnuthurai N. Suganthan,...