Constrained optimal experimental design: theory, algorithm and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Stuttgart
Fraunhofer Verlag
[2024]
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | viii, 178 Seiten Diagramme 21 cm x 14.8 cm |
| ISBN: | 9783839619889 3839619882 |
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MARC
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| 245 | 1 | 0 | |a Constrained optimal experimental design: theory, algorithm and applications |c Philipp Seufert |
| 264 | 1 | |a Stuttgart |b Fraunhofer Verlag |c [2024] | |
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| 653 | |a Optimal experimental design | ||
| 653 | |a Adaptive algorithms | ||
| 653 | |a Nonlinear programming | ||
| 653 | |a Semi-infinite programming | ||
| 653 | |a Bilevel optimization | ||
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
LIST
OF
SYMBOLS
AND
ABBREVIATIONS
.
1
1
INTRODUCTION
.
3
2
OPTIMAL
EXPERIMENTAL
DESIGN
.
11
2.1
BASICS
AND
NOTATION
.
12
2.2
NECESSARY
AND
SUFFICIENT
OPTIMALITY
CONDITIONS
.
19
2.3
ADAPTIVE
DISCRETIZATION
ALGORITHM
.
25
2.4
ALGORITHM
FOR
MINIMAX
OPTIMAL
DESIGNS
.
31
3
CONSTRAINED
OPTIMAL
EXPERIMENTAL
DESIGN
.
45
3.1
MODELING
OF
THE
OPTIMIZATION
PROBLEM
.
46
3.2
LAGRANGIAN
AND
SADDLE
POINTS
.
56
3.2.1
SUFFICIENT
CONDITIONS
FOR
SOLUTIONS
.
60
3.2.2
NECESSARY
CONDITIONS
FOR
SOLUTIONS
.
61
3.3
EXTENSION
TO
SINGULAR
CONSTRAINTS
.
69
4
ADAPTIVE
DISCRETIZATION
ALGORITHM
FOR
CONSTRAINED
OPTIMAL
EXPERIMENTAL
DESIGN
.
77
4.1
CONSTRAINT
QUALIFICATIONS
.
79
4.2
CONVERGENCE
RESULTS
.
84
4.2.1
GENERAL
CASE
.
87
4.2.2
CASE
WITH
SINGULAR
CONSTRAINTS
.
95
4.3
REFINING
THE
DISCRETIZATION
.
102
4.4
NUMERICAL
DISCUSSION
.
111
5
MULTI-CRITERIA
OPTIMAL
EXPERIMENTAL
DESIGN
.
117
5.1
COMPUTING
PARETO
OPTIMAL
DESIGNS
.
120
5.2
APPROXIMATING
THE
SET
OF
EFFICIENT
DESIGNS
.
124
6
NUMERICAL
EXAMPLE
FROM
PROCESS
ENGINEERING
.
137
6.1
MINIMAX
OPTIMAL
DESIGNS
.
141
6.2
CONSTRAINED
OPTIMAL
EXPERIMENTAL
DESIGN
.
143
6.3
MULTI-CRITERIA
OPTIMAL
EXPERIMENTAL
DESIGN
.
147
7
CONCLUSION
.
153
A
APPENDIX
.
155
A.1
CONVERGENCE
OF
THE
MINIMAX
ADAPTIVE
DISCRETIZATION
ALGORITHM
.
155
A.
2
CONVERGENCE
OF
THE
MODIFIED
ADAPTIVE
DISCRETIZATION
ALGORITHM
.
158
A.
3
EIGENVALUES
OF
THE
FISHER
INFORMATION
MATRICES
.
162
A.
4
REFORMULATION
OF
THE
DISCRETIZATION
REFINEMENT
SUBPROBLEM
.
165
BIBLIOGRAPHY
.
171 |
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| building | Verbundindex |
| bvnumber | BV049861408 |
| ctrlnum | (OCoLC)1466962755 (DE-599)DNB1326453998 |
| format | Thesis Book |
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| indexdate | 2025-03-31T20:06:03Z |
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| physical | viii, 178 Seiten Diagramme 21 cm x 14.8 cm |
| publishDate | 2024 |
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| spelling | Seufert, Philipp 1995- Verfasser (DE-588)1333355920 aut Constrained optimal experimental design: theory, algorithm and applications Philipp Seufert Stuttgart Fraunhofer Verlag [2024] viii, 178 Seiten Diagramme 21 cm x 14.8 cm txt rdacontent n rdamedia nc rdacarrier Dissertation Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau 2023 Experiment (DE-588)4015999-1 gnd rswk-swf Zwei-Ebenen-Optimierung (DE-588)4715689-2 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Semiinfinite Optimierung (DE-588)4137036-3 gnd rswk-swf Optimal experimental design Adaptive algorithms Nonlinear programming Semi-infinite programming Bilevel optimization Angewandte Mathematiker, Verfahrensingenieure, Statistiker (DE-588)4113937-9 Hochschulschrift gnd-content Experiment (DE-588)4015999-1 s Nichtlineare Optimierung (DE-588)4128192-5 s Semiinfinite Optimierung (DE-588)4137036-3 s Zwei-Ebenen-Optimierung (DE-588)4715689-2 s DE-604 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (DE-588)10126139-1 isb Fraunhofer IRB-Verlag (DE-588)4786605-6 pbl X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=eb4d6ed7f936456a89e3cb30f05972c4&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035201108&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20240417 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Seufert, Philipp 1995- Constrained optimal experimental design: theory, algorithm and applications Experiment (DE-588)4015999-1 gnd Zwei-Ebenen-Optimierung (DE-588)4715689-2 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd Semiinfinite Optimierung (DE-588)4137036-3 gnd |
| subject_GND | (DE-588)4015999-1 (DE-588)4715689-2 (DE-588)4128192-5 (DE-588)4137036-3 (DE-588)4113937-9 |
| title | Constrained optimal experimental design: theory, algorithm and applications |
| title_auth | Constrained optimal experimental design: theory, algorithm and applications |
| title_exact_search | Constrained optimal experimental design: theory, algorithm and applications |
| title_full | Constrained optimal experimental design: theory, algorithm and applications Philipp Seufert |
| title_fullStr | Constrained optimal experimental design: theory, algorithm and applications Philipp Seufert |
| title_full_unstemmed | Constrained optimal experimental design: theory, algorithm and applications Philipp Seufert |
| title_short | Constrained optimal experimental design: theory, algorithm and applications |
| title_sort | constrained optimal experimental design theory algorithm and applications |
| topic | Experiment (DE-588)4015999-1 gnd Zwei-Ebenen-Optimierung (DE-588)4715689-2 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd Semiinfinite Optimierung (DE-588)4137036-3 gnd |
| topic_facet | Experiment Zwei-Ebenen-Optimierung Nichtlineare Optimierung Semiinfinite Optimierung Hochschulschrift |
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