<p><P>Combinatorial optimisation is a ubiquitous discipline whose usefulness spans vast applications domains. The intrinsic complexity of most combinatorial optimisation problems makes classical methods unaffordable in many cases. To acquire practical solutions to these problems requires the use of
Theory of Evolutionary Computation: Recent Developments in Discrete Optimization
โ Scribed by Benjamin Doerr, Frank Neumann
- Publisher
- Springer International Publishing
- Year
- 2020
- Tongue
- English
- Leaves
- 527
- Series
- Natural Computing Series
- Edition
- 1st ed. 2020
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This edited book reports on recent developments in the theory of evolutionary computation, or more generally the domain of randomized search heuristics.
It starts with two chapters on mathematical methods that are often used in the analysis of randomized search heuristics, followed by three chapters on how to measure the complexity of a search heuristic: black-box complexity, a counterpart of classical complexity theory in black-box optimization; parameterized complexity, aimed at a more fine-grained view of the difficulty of problems; and the fixed-budget perspective, which answers the question of how good a solution will be after investing a certain computational budget. The book then describes theoretical results on three important questions in evolutionary computation: how to profit from changing the parameters during the run of an algorithm; how evolutionary algorithms cope with dynamically changing or stochastic environments; and how population diversity influences performance. Finally, the book looks at three algorithm classes that have only recently become the focus of theoretical work: estimation-of-distribution algorithms; artificial immune systems; and genetic programming.
Throughout the book the contributing authors try to develop an understanding for how these methods work, and why they are so successful in many applications. The book will be useful for students and researchers in theoretical computer science and evolutionary computing.
โฆ Table of Contents
Front Matter ....Pages i-xii
Probabilistic Tools for the Analysis of Randomized Optimization Heuristics (Benjamin Doerr)....Pages 1-87
Drift Analysis (Johannes Lengler)....Pages 89-131
Complexity Theory for Discrete Black-Box Optimization Heuristics (Carola Doerr)....Pages 133-212
Parameterized Complexity Analysis of Randomized Search Heuristics (Frank Neumann, Andrew M. Sutton)....Pages 213-248
Analysing Stochastic Search Heuristics Operating on a Fixed Budget (Thomas Jansen)....Pages 249-270
Theory of Parameter Control for Discrete Black-Box Optimization: Provable Performance Gains Through Dynamic Parameter Choices (Benjamin Doerr, Carola Doerr)....Pages 271-321
Analysis of Evolutionary Algorithms in Dynamic and Stochastic Environments (Frank Neumann, Mojgan Pourhassan, Vahid Roostapour)....Pages 323-357
The Benefits of Population Diversity in Evolutionary Algorithms: A Survey of Rigorous Runtime Analyses (Dirk Sudholt)....Pages 359-404
Theory of Estimation-of-Distribution Algorithms (Martin S. Krejca, Carsten Witt)....Pages 405-442
Theoretical Foundations of Immune-Inspired Randomized Search Heuristics for Optimization (Christine Zarges)....Pages 443-474
Computational Complexity Analysis of Genetic Programming (Andrei Lissovoi, Pietro S. Oliveto)....Pages 475-518
โฆ Subjects
Computer Science; Theory of Computation; Optimization; Operations Research/Decision Theory
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