Table of Contents

Cover image

Title page

Copyright page

FOGA-2000: The Program Committee

Introduction

Overcoming Fitness Barriers in Multi-Modal Search Spaces

Abstract

1 INTRODUCTION

2 PRELIMINARY OBSERVATION OF CYCLIC PHASE BEHAVIOUR IN PERFORMANCE PROFILES

3 THE H-IFF PERFORMANCE PROFILE

4 PHASES AND MUTATION EVENTS

5 ‘BEST FOUND’ FITNESS DISTRIBUTIONS

6 FURTHER EXPERIMENTS: KAUFFMAN NK, ROYAL STAIRCASE AND MAX-ONES

7 DISCUSSION

8 CONCLUSIONS

Acknowledgements

Niches in NK-Landscapes

Abstract

1 INTRODUCTION

2 THE ALGORITHMS

3 THE NK OPTIMA

4 NK NICHES

5 DISCUSSION

6 CONCLUSIONS

Acknowledgments

New Methods for Tunable, Random Landscapes

Abstract

1 Introduction

2 NK and NKP Landscapes

3 Past Results

4 Walsh-based Landscapes

5 More on Juxtapositional Complexity

6 New Generation Methods

7 One Such Generator

8 Observations About the New Generator

9 Final Comments

Analysis of recombinative algorithms on a non-separable building-block problem

Abstract

Acknowledgements

1 INTRODUCTION

2 ANALYSIS ON SEPARABLE PROBLEMS

3 HIERARCHICAL-IF-AND-ONLY-IF

4 ANALYSES ON H-IFF

5 EXPERIMENTAL RESULTS

6 CONCLUSIONS

Direct Statistical Estimation of GA Landscape Properties

Abstract

1 INTRODUCTION

2 A PROBABILITY MODEL

3 FIRST REPETITION WAITING TIME DISTRIBUTION

3.1 Maximum likelihood estimation

4 ESTIMATING THE NUMBER OF SAMPLES

5 AN APPLICATION

6 CONCLUSIONS AND FURTHER WORK

Comparing population mean curves

Abstract

1 Introduction

2 Density of states issues

3 The transformation

4 Experiments

5 The velocity as a hardness measure

6 Conclusions and further work

Acknowledgments

Local Performance of the (μ/μI, λ)-ES in a Noisy Environment

Abstract

1 INTRODUCTION

2 ALGORITHM AND FITNESS ENVIRONMENT

3 PERFORMANCE

4 DISCUSSION

5 CONCLUSION

APPENDIX A: SHOWING THE ASYMPTOTIC NORMALITY OF THE FITNESS ADVANTAGE ASSOCIATED WITH A MUTATION VECTOR

APPENDIX B: COMPUTING THE MEAN OF 〈z1〉

Acknowledgements

Recursive Conditional Schema Theorem, Convergence and Population Sizing in Genetic Algorithms

Abstract

1 INTRODUCTION

2 SOME ASSUMPTIONS AND DEFINITIONS

3 PROBABILISTIC SCHEMA THEOREMS WITHOUT EXPECTED VALUES

4 CONDITIONAL SCHEMA THEOREMS

5 A POSSIBLE ROUTE TO PROVING GA CONVERGENCE

6 RECURSIVE CONDITIONAL SCHEMA THEOREM

7 CONDITIONAL CONVERGENCE PROBABILITY

8 POPULATION SIZING

9 CONCLUSIONS AND FUTURE WORK

Acknowledgements

Towards a Theory of Strong Overgeneral Classifiers

Abstract

1 INTRODUCTION

2 BACKGROUND AND METHODOLOGY

3 DEFINITIONS

4 WHEN ARE STRONG OVERGENERALS POSSIBLE?

5 ACCURACY-BASED SYSTEMS

6 STRENGTH-BASED SYSTEMS

7 THE SURVIVAL OF RULES UNDER THE GA

8 DISCUSSION

Acknowledgements

Evolutionary Optimization Through PAC Learning

Abstract

1 Introduction

2 Motivation

3 PAC Learning Preliminaries

4 Why We Should Work in a PAC Setting

5 PAC Learning Applied to Evolutionary Optimization

6 Transformation of a Representation

7 Evolutionary Operators

8 Finding High Correlation Parity Strings

9 Dimension Reduction

10 The Rising Tide Algorithm

11 Empirical Results

12 Discussion and Speculation

13 Conclusion

Continuous Dynamical System Models of Steady-State Genetic Algorithms

Abstract

1 Introduction

2 Steady-state evolutionary computation algorithms

3 Convergence of the Kr heuristic.

4 Continuous-time dynamical system models

5 Fixed points for random deletion

6 Stability of fixed points

7 An illustrative experiment

8 Conclusion and further work

Acknowledgments

Mutation-Selection Algorithm: a Large Deviation Approach

Abstract

1 INTRODUCTION

2 MUTATION–SELECTION ALGORITHM

3 LARGE DEVIATION ANALYSIS

3.4 AN ANNEALING PROCESS

4 CONCLUSION

APPENDIX

Acknowledgements

The Equilibrium and Transient Behavior of Mutation and Recombination

Abstract

1 INTRODUCTION

2 THE LIMITING DISTRIBUTION FOR MUTATION

3 THE LIMITING DISTRIBUTION FOR RECOMBINATION

4 THE LIMITING DISTRIBUTION FOR MUTATION AND RECOMBINATION

5 SUMMARY

The Mixing Rate of Different Crossover Operators

Abstract

1 INTRODUCTION

2 MODEL

3 RESULTS

4 DISCUSSION

APPENDIX: TOTALLY MIXED STATE

APPENDIX: STATISTICS OF BLOCK SIZES

Dynamic Parameter Control in Simple Evolutionary Algorithms

Abstract

1 INTRODUCTION

2 THE (1+1) EA

3 DYNAMIC PARAMETER CONTROL IN SELECTION

4 DYNAMIC PARAMETER CONTROL IN MUTATION

5 CONCLUSIONS

Acknowledgments

Local Search and High Precision Gray Codes: Convergence Results and Neighborhoods

Abstract

1 Introduction

2 Local Optima, Problem Complexity, and Representation

3 Gray and Binary Representations

4 Properties of the Reflected Gray Space

5 High Precision Gray Codes and Local Optima

6 Combining Gray and Binary Neighborhoods

7 Conclusions

Appendix 1

Burden and Benefits of Redundancy

Abstract

1 INTRODUCTION

2 REASONS FOR REDUNDANCY

3 INVESTIGATED PROBLEMS AND METHODOLOGY

4 ANALYSIS I: DEGREE OF REDUNDANCY

5 ANALYSIS II: MUTATION AND THE STRUCTURE OF LANDSCAPE

6 ANALYSIS III: RECOMBINATION

7 ANALYSIS IV: DIVERSITY

8 ANALYSIS V: BENEFITS OF DIPLOIDITY – A CONTROL EXPERIMENT

9 CONCLUSION AND DISCUSSION

Acknowledgements

Appendix Fitness computation and problem

Author Index

Key Word Index

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