Augmented design and analysis of computer experiments

A novel tolerance embedded global optimization approach applied to SWIR hyperspectral illumination design

Janos C. Keresztes, Richard John Koshel, Karlien D'Huys, Bart De Ketelaere, Jan Audenaert, Peter Goos, Wouter Saeys

Research output: Contribution to journalArticle

Abstract

A novel meta-heuristic approach for minimizing nonlinear constrained problems is proposed, which offers tolerance information during the search for the global optimum. The method is based on the concept of design and analysis of computer experiments combined with a novel two phase design augmentation (DACEDA), which models the entire merit space using a Gaussian process, with iteratively increased resolution around the optimum. The algorithm is introduced through a series of cases studies with increasing complexity for optimizing uniformity of a short-wave infrared (SWIR) hyperspectral imaging (HSI) illumination system (IS). The method is first demonstrated for a two-dimensional problem consisting of the positioning of analytical isotropic point sources. The method is further applied to two-dimensional (2D) and five-dimensional (5D) SWIR HSI IS versions using close- and far-field measured source models applied within the non-sequential ray-tracing software FRED, including inherent stochastic noise. The proposed method is compared to other heuristic approaches such as simplex and simulated annealing (SA). It is shown that DACEDA converges towards a minimum with 1 % improvement compared to simplex and SA, and more importantly requiring only half the number of simulations. Finally, a concurrent tolerance analysis is done within DACEDA for to the five-dimensional case such that further simulations are not required.

Original languageEnglish (US)
Pages (from-to)29380-29405
Number of pages26
JournalOptics Express
Volume24
Issue number26
DOIs
StatePublished - Dec 26 2016

Fingerprint

simulated annealing
illumination
optimization
ray tracing
point sources
positioning
far fields
simulation
computer programs
annealing
augmentation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Augmented design and analysis of computer experiments : A novel tolerance embedded global optimization approach applied to SWIR hyperspectral illumination design. / Keresztes, Janos C.; Koshel, Richard John; D'Huys, Karlien; De Ketelaere, Bart; Audenaert, Jan; Goos, Peter; Saeys, Wouter.

In: Optics Express, Vol. 24, No. 26, 26.12.2016, p. 29380-29405.

Research output: Contribution to journalArticle

Keresztes, Janos C. ; Koshel, Richard John ; D'Huys, Karlien ; De Ketelaere, Bart ; Audenaert, Jan ; Goos, Peter ; Saeys, Wouter. / Augmented design and analysis of computer experiments : A novel tolerance embedded global optimization approach applied to SWIR hyperspectral illumination design. In: Optics Express. 2016 ; Vol. 24, No. 26. pp. 29380-29405.
@article{87864ebb92e84c59878ad415aa1f3d31,
title = "Augmented design and analysis of computer experiments: A novel tolerance embedded global optimization approach applied to SWIR hyperspectral illumination design",
abstract = "A novel meta-heuristic approach for minimizing nonlinear constrained problems is proposed, which offers tolerance information during the search for the global optimum. The method is based on the concept of design and analysis of computer experiments combined with a novel two phase design augmentation (DACEDA), which models the entire merit space using a Gaussian process, with iteratively increased resolution around the optimum. The algorithm is introduced through a series of cases studies with increasing complexity for optimizing uniformity of a short-wave infrared (SWIR) hyperspectral imaging (HSI) illumination system (IS). The method is first demonstrated for a two-dimensional problem consisting of the positioning of analytical isotropic point sources. The method is further applied to two-dimensional (2D) and five-dimensional (5D) SWIR HSI IS versions using close- and far-field measured source models applied within the non-sequential ray-tracing software FRED, including inherent stochastic noise. The proposed method is compared to other heuristic approaches such as simplex and simulated annealing (SA). It is shown that DACEDA converges towards a minimum with 1 {\%} improvement compared to simplex and SA, and more importantly requiring only half the number of simulations. Finally, a concurrent tolerance analysis is done within DACEDA for to the five-dimensional case such that further simulations are not required.",
author = "Keresztes, {Janos C.} and Koshel, {Richard John} and Karlien D'Huys and {De Ketelaere}, Bart and Jan Audenaert and Peter Goos and Wouter Saeys",
year = "2016",
month = "12",
day = "26",
doi = "10.1364/OE.24.029380",
language = "English (US)",
volume = "24",
pages = "29380--29405",
journal = "Optics Express",
issn = "1094-4087",
publisher = "The Optical Society",
number = "26",

}

TY - JOUR

T1 - Augmented design and analysis of computer experiments

T2 - A novel tolerance embedded global optimization approach applied to SWIR hyperspectral illumination design

AU - Keresztes, Janos C.

AU - Koshel, Richard John

AU - D'Huys, Karlien

AU - De Ketelaere, Bart

AU - Audenaert, Jan

AU - Goos, Peter

AU - Saeys, Wouter

PY - 2016/12/26

Y1 - 2016/12/26

N2 - A novel meta-heuristic approach for minimizing nonlinear constrained problems is proposed, which offers tolerance information during the search for the global optimum. The method is based on the concept of design and analysis of computer experiments combined with a novel two phase design augmentation (DACEDA), which models the entire merit space using a Gaussian process, with iteratively increased resolution around the optimum. The algorithm is introduced through a series of cases studies with increasing complexity for optimizing uniformity of a short-wave infrared (SWIR) hyperspectral imaging (HSI) illumination system (IS). The method is first demonstrated for a two-dimensional problem consisting of the positioning of analytical isotropic point sources. The method is further applied to two-dimensional (2D) and five-dimensional (5D) SWIR HSI IS versions using close- and far-field measured source models applied within the non-sequential ray-tracing software FRED, including inherent stochastic noise. The proposed method is compared to other heuristic approaches such as simplex and simulated annealing (SA). It is shown that DACEDA converges towards a minimum with 1 % improvement compared to simplex and SA, and more importantly requiring only half the number of simulations. Finally, a concurrent tolerance analysis is done within DACEDA for to the five-dimensional case such that further simulations are not required.

AB - A novel meta-heuristic approach for minimizing nonlinear constrained problems is proposed, which offers tolerance information during the search for the global optimum. The method is based on the concept of design and analysis of computer experiments combined with a novel two phase design augmentation (DACEDA), which models the entire merit space using a Gaussian process, with iteratively increased resolution around the optimum. The algorithm is introduced through a series of cases studies with increasing complexity for optimizing uniformity of a short-wave infrared (SWIR) hyperspectral imaging (HSI) illumination system (IS). The method is first demonstrated for a two-dimensional problem consisting of the positioning of analytical isotropic point sources. The method is further applied to two-dimensional (2D) and five-dimensional (5D) SWIR HSI IS versions using close- and far-field measured source models applied within the non-sequential ray-tracing software FRED, including inherent stochastic noise. The proposed method is compared to other heuristic approaches such as simplex and simulated annealing (SA). It is shown that DACEDA converges towards a minimum with 1 % improvement compared to simplex and SA, and more importantly requiring only half the number of simulations. Finally, a concurrent tolerance analysis is done within DACEDA for to the five-dimensional case such that further simulations are not required.

UR - http://www.scopus.com/inward/record.url?scp=85009360735&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85009360735&partnerID=8YFLogxK

U2 - 10.1364/OE.24.029380

DO - 10.1364/OE.24.029380

M3 - Article

VL - 24

SP - 29380

EP - 29405

JO - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 26

ER -