The Theory of Evolution Strategies
(Sprache: Englisch)
Evolutionary Algorithms, such as Evolution Strategies, Genetic Algorithms, or Evolutionary Programming, have found broad acceptance in the last ten years. In contrast to the broad propagation and the resulting practical prosperity in different scientific...
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Klappentext zu „The Theory of Evolution Strategies “
Evolutionary Algorithms, such as Evolution Strategies, Genetic Algorithms, or Evolutionary Programming, have found broad acceptance in the last ten years. In contrast to the broad propagation and the resulting practical prosperity in different scientific fields, the theory has not progressed as much. This monograph provides the framework and the first steps toward the theoretical analysis of Evolution Strategies (ES). The main emphasis is on understanding the functioning of these probabilistic optimization algorithms in real-valued search spaces by investigating the dynamical properties of some well-established ES algorithms on simple objective functions. The book introduces the basic concepts of such an analysis, such as the progress rate, the quality gain, and the self-adaptation response, and shows how to calculate these quantities. Based on this analysis, functioning principles are derived, aiming at a qualitative understanding of why and how ES algorithms do work.
Inhaltsverzeichnis zu „The Theory of Evolution Strategies “
1. Introduction.- 2. Concepts for the Analysis of the ES.- 3. The Progress Rate of the (1% MathType!MTEF!2!1!+-% feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8% qadaqadaWdaeaapeGaaGyma8aadaWfGaqaa8qacaGGSaaal8aabeqa% a8qacqGHRaWkaaGccqaH7oaBaiaawIcacaGLPaaaaaa!3C4E!$$left( {1mathop ,limits^ + lambda } right)$$?)-ES on the Sphere Model.- 5. The Analysis of the (?, ?)-ES.- 6. The (?/?, ?) Strategies - or Why "Sex" May be Good.- 7. The (1, ?)-?-Self-Adaptation.- Appendices.- A. Integrals.- A.1 Definite Integrals of the Normal Distribution.- A.2 Indefinite Integrals of the Normal Distribution.- A.3 Some Integral Identities.- B. Approximations.- B.1 Frequently Used Taylor Expansions.- B.3 Cumulants, Moments, and Approximations.- B.3.1 Fundamental Relations.- B.3.2 The Weight Coefficients for the Density Approximation of a Standardized Random Variable.- B.4 Approximation of the Quantile Function.- C. The Normal Distribution.- C.3 Product Moments of Correlated Gaussian Mutations.- C.3.1 Fundamental Relations.- C.3.2 Derivation of the Product Moments.- D. (1, ?)-Progress Coefficients.- D.2 Table of Progress Coefficients of the (1, ?)-ES.- References.
Bibliographische Angaben
- Autor: Hans-Georg Beyer
- 2001, 381 Seiten, 9 Schwarz-Weiss-Abbildungen, Masse: 15,9 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3540672974
- ISBN-13: 9783540672975
- Erscheinungsdatum: 27.03.2001
Sprache:
Englisch
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