Abstract
| Original language | English |
|---|---|
| Place of Publication | Tilburg |
| Publisher | Operations research |
| Number of pages | 16 |
| Volume | 2001-69 |
| Publication status | Published - 2001 |
Publication series
| Name | CentER Discussion Paper |
|---|---|
| Volume | 2001-69 |
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Keywords
- D-optimality
- trust region
- derivative free
- optimization
- affine transformations
Cite this
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On D-Optimality Based Trust Regions for Black-Box Optimization Problems. / Driessen, L.; Brekelmans, R.C.M.; Hamers, H.J.M.; den Hertog, D.
Tilburg : Operations research, 2001. (CentER Discussion Paper; Vol. 2001-69).Research output: Working paper › Discussion paper › Other research output
TY - UNPB
T1 - On D-Optimality Based Trust Regions for Black-Box Optimization Problems
AU - Driessen, L.
AU - Brekelmans, R.C.M.
AU - Hamers, H.J.M.
AU - den Hertog, D.
N1 - Pagination: 16
PY - 2001
Y1 - 2001
N2 - In this paper we show how techniques from response surface methodology and mathematical programming can be combined into a new sequential derivative-free approach for solving unconstrained deterministic black-box optimization problems.In this sequential derivative-free optimization approach local approximations of the underlying objective function are optimized within a trust region framework.If the points that determine the local approximations are located in such away that the approximations become bad, a geometry improving iteration is carried out instead of an objective improving iteration.We incorporate the D-optimality criterion, well-known in design of experiments, in our approach in two different ways.Firstly, it is used to define a trust region that adapts its shape to the locations of the points in which the objective function has been evaluated.Secondly, it determines an optimal geometry improving point.An attractive feature of our approach is that it is insensitive to affine transformations.
AB - In this paper we show how techniques from response surface methodology and mathematical programming can be combined into a new sequential derivative-free approach for solving unconstrained deterministic black-box optimization problems.In this sequential derivative-free optimization approach local approximations of the underlying objective function are optimized within a trust region framework.If the points that determine the local approximations are located in such away that the approximations become bad, a geometry improving iteration is carried out instead of an objective improving iteration.We incorporate the D-optimality criterion, well-known in design of experiments, in our approach in two different ways.Firstly, it is used to define a trust region that adapts its shape to the locations of the points in which the objective function has been evaluated.Secondly, it determines an optimal geometry improving point.An attractive feature of our approach is that it is insensitive to affine transformations.
KW - D-optimality
KW - trust region
KW - derivative free
KW - optimization
KW - affine transformations
M3 - Discussion paper
VL - 2001-69
T3 - CentER Discussion Paper
BT - On D-Optimality Based Trust Regions for Black-Box Optimization Problems
PB - Operations research
CY - Tilburg
ER -