Adaptive Differential Evolution A Robust Approach to Multimodal Problem Optimization

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Schriftenreihe:Evolutionary Learning and Optimization 1
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Datensatz im Suchindex

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adam_text CONTENTS 1 INTRODUCTION 1 1.1 RESEARCH MOTIVATION 2 1.2 RESEARCH CONTRIBUTION 3 2 RELATED WORK AND BACKGROUND 5 2.1 EVOLUTIONARY ALGORITHMS 5 2.1.1 EVOLUTION STRATEGIES 6 2.1.2 EVOLUTIONARY PROGRAMMING 7 2.1.3 GENETIC ALGORITHMS 7 2.1.4 GENETIC PROGRAMMING 7 2.2 DIFFERENTIAL EVOLUTION 8 2.3 PARAMETER CONTROL 9 2.4 MULTI-OBJECTIVE OPTIMIZATION 11 2.5 NO FREE LUNCH THEOREM AND DOMAIN KNOWLEDGE UTILIZATION 12 3 THEORETICAL ANALYSIS OF DIFFERENTIAL EVOLUTION 15 3.1 INTRODUCTION 15 3.2 PROPERTIES OF DIFFERENTIAL EVOLUTION 17 3.2.1 DE/RAND/K/BIN WITHOUT CROSSOVER 17 3.2.2 PROPERTIES OF MUTATION 17 3.2.3 PROPERTIES OF SELECTION 18 3.3 AN APPROXIMATE MODEL OF DE 19 3.4 ANALYSES OF THE EVOLUTION PROCESS OF DE 21 3.4.1 MATHEMATICAL FORMULATION OF DE 21 3.4.2 CALCULATION OF E(Z) 22 3.4.3 CALCULATION OF A Z 26 3.4.4 CALCULATION OF A Z2 27 3.4.5 FROM {Z,. S } TO {X,. 9+1 } 29 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/993961770 DIGITALISIERT DURCH X CONTENTS 3.5 NUMERICAL EVALUATION AND DISCUSSIONS 30 3.5.1 PERFORMANCE METRICS 30 3.5.2 PROGRESS RATE 31 3.5.3 EVOLUTION OF V* XL AND A% 2 31 3.5.4 STEADY POINT 33 3.5.5 DYNAMIC BEHAVIOR OF DE 33 3.5.6 EFFECT OF MUTATION FACTOR 34 3.6 SUMMARY 36 3.7 APPENDIX 37 3.7.1 PROOF OF PROPERTY 3.3 37 3.7.2 PROOF OF EQS. 3.16 AND 3.34 38 4 PARAMETER ADAPTIVE DIFFERENTIAL EVOLUTION 39 4.1 INTRODUCTION 39 4.2 ADAPTIVE DE ALGORITHMS 41 4.2.1 DESAP 41 4.2.2 FADE 41 4.2.3 SADE 42 4.2.4 SANSDE 43 4.2.5 JDE 43 4.2.6 ALGORITHMS COMPARISON 44 4.3 JADE: A NEW ADAPTIVE DIFFERENTIAL EVOLUTION ALGORITHM... 46 4.3.1 INITIALIZATION 46 4.3.2 MUTATION 46 4.3.3 CROSSOVER 48 4.3.4 SELECTION 48 4.3.5 ADAPTATION OF HCR 49 4.3.6 ADAPTATION OF HF 50 4.3.7 EXPLANATION OF PARAMETER ADAPTATION 51 4.3.8 DISCUSSION OF PARAMETER SETTINGS 52 4.3.9 ALGORITHM COMPLEXITY 52 4.4 PERFORMANCE ANALYSIS FOR LOW- TO MODERATE-DIMENSIONAL PROBLEMS 52 4.4.1 COMPARISON OF JADE WITH OTHER EVOLUTIONARY ALGORITHMS 54 4.4.2 BENEFIT OF JADE S COMPONENTS 62 4.4.3 EVOLUTION OF SSP CONTENTS XI 4.8 APPENDIX: STOCHASTIC PROPERTIES OF THE MUTATION AND CROSSOVER OF JADE 77 4.8.1 A SIMPLIFIED MODEL 77 4.8.2 MATHEMATICAL ANALYSIS 78 4.8.3 PROOF OF PROPOSITION 4.1 79 5 SURROGATE MODEL-BASED DIFFERENTIAL EVOLUTION 83 5.1 INTRODUCTION 83 5.2 ADAPTIVE DIFFERENTIAL EVOLUTION 84 5.3 RBF SURROGATE MODEL 85 5.4 DE-AEC: DIFFERENTIAL EVOLUTION WITH ADAPTIVE EVOLUTION CONTROL 86 5.4.1 PROCEDURE OF DE-AEC 86 5.4.2 EXPLANATION OF Q, S AND K 88 5.5 PERFORMANCE EVALUATION 89 5.5.1 SUCCESS RATE AND SUCCESS PERFORMANCE 89 5.5.2 SIMULATION RESULTS 89 5.6 SUMMARY 92 6 ADAPTIVE MULTI-OBJECTIVE DIFFERENTIAL EVOLUTION 95 6.1 INTRODUCTION 95 6.2 MULTI-OBJECTIVE EVOLUTIONARY ALGORITHMS 97 6.2.1 PAES 97 6.2.2 SPEA2 97 6.2.3 PESA 98 6.2.4 NSGA AND NSGA-II 98 6.2.5 DIFFERENTIAL EVOLUTION BASED MOEAS 98 6.3 JADE FOR MULTI-OBJECTIVE OPTIMIZATION 100 6.3.1 PARETO DOMINANCE AND CROWDING DENSITY 100 6.3.2 SELECTION 100 6.3.3 MUTATION 102 6.4 PERFORMANCE COMPARISON 103 6.4.1 COMPARISON BASED ON CONVENTIONAL PERFORMANCE METRICS 104 6.4.2 PARETO-COMPLIANT PERFORMANCE METRICS 105 6.4.3 EXPERIMENTAL RESULTS 110 6.5 SUMMARY 113 7 APPLICATION TO WINNER DETERMINATION PROBLEMS IN COMBINATORIA XII CONTENTS 7.3.1 REPRESENTATION SCHEME FOR DISCRETE OPTIMIZATION.... 118 7.3.2 REGENERATION OPERATION 119 7.3.3 SEEDING JADE 121 7.4 PERFORMANCE COMPARISON 121 7.4.1 EXPERIMENTAL SETTING 122 7.4.2 COMPARISON RESULTS 122 7.5 SUMMARY 125 8 APPLICATION TO FLIGHT PLANNING IN AIR TRAFFIC CONTROL SYSTEMS 127 8.1 INTRODUCTION 127 8.2 PROBLEM FORMULATION 128 8.3 UTILIZATION OF DOMAIN KNOWLEDGE 130 8.4 SIMULATION 131 8.5 SUMMARY 134 9 APPLICATION TO THE TPM OPTIMIZATION IN CREDIT DECISION MAKING 135 9.1 INTRODUCTION 135 9.2 PROBLEM FORMULATION 137 9.3 UTILIZATION OF DOMAIN KNOWLEDGE 139 9.4 SIMULATION 140 9.4.1 PERFORMANCE COMPARISON 141 9.4.2 COMPARISON OF OPTIMIZED TPM WITH EMPIRICAL DATA 144 9.5 SUMMARY 145 10 CONCLUSIONS AND FUTURE WORK 147 10.1 SUMMARY 147 10.2 FUTURE WORK 148 10.2.1 COEVOLUTIONARY ALGORITHMS 149 10.2.2 CONSTRAINED OPTIMIZATION 149 10.2.3 OPTIMIZATION IN A NOISY ENVIRONMENT 150 REFERENCES 151 INDEX 163
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series Evolutionary Learning and Optimization
series2 Evolutionary Learning and Optimization
spellingShingle Adaptive Differential Evolution A Robust Approach to Multimodal Problem Optimization
Evolutionary Learning and Optimization
Mehrkriterielle Optimierung (DE-588)4610682-0 gnd
Globale Optimierung (DE-588)4140067-7 gnd
Evolutionärer Algorithmus (DE-588)4366912-8 gnd
subject_GND (DE-588)4610682-0
(DE-588)4140067-7
(DE-588)4366912-8
title Adaptive Differential Evolution A Robust Approach to Multimodal Problem Optimization
title_auth Adaptive Differential Evolution A Robust Approach to Multimodal Problem Optimization
title_exact_search Adaptive Differential Evolution A Robust Approach to Multimodal Problem Optimization
title_full Adaptive Differential Evolution A Robust Approach to Multimodal Problem Optimization Jingqiao Zhang ; Arthur C. Sanderson
title_fullStr Adaptive Differential Evolution A Robust Approach to Multimodal Problem Optimization Jingqiao Zhang ; Arthur C. Sanderson
title_full_unstemmed Adaptive Differential Evolution A Robust Approach to Multimodal Problem Optimization Jingqiao Zhang ; Arthur C. Sanderson
title_short Adaptive Differential Evolution
title_sort adaptive differential evolution a robust approach to multimodal problem optimization
title_sub A Robust Approach to Multimodal Problem Optimization
topic Mehrkriterielle Optimierung (DE-588)4610682-0 gnd
Globale Optimierung (DE-588)4140067-7 gnd
Evolutionärer Algorithmus (DE-588)4366912-8 gnd
topic_facet Mehrkriterielle Optimierung
Globale Optimierung
Evolutionärer Algorithmus
url https://doi.org/10.1007/978-3-642-01527-4
http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017758480&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV035704604
work_keys_str_mv AT zhangjingqiao adaptivedifferentialevolutionarobustapproachtomultimodalproblemoptimization
AT sandersonarthurc adaptivedifferentialevolutionarobustapproachtomultimodalproblemoptimization