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Hierarchical Bayesian Optimization Algorithm: Toward a New Generation of Evolutionary Algorithms (Studies in Fuzziness and Soft Computing)
 
 
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Hierarchical Bayesian Optimization Algorithm: Toward a New Generation of Evolutionary Algorithms (Studies in Fuzziness and Soft Computing) [Hardcover]

Martin Pelikan (Author)

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Book Description

3540237747 978-3540237747 March 24, 2005 1
This book provides a framework for the design of competent optimization techniques by combining advanced evolutionary algorithms with state-of-the-art machine learning techniques. The primary focus of the book is on two algorithms that replace traditional variation operators of evolutionary algorithms, by learning and sampling Bayesian networks: the Bayesian optimization algorithm (BOA) and the hierarchical BOA (hBOA). They provide a scalable solution to a broad class of problems. The book provides an overview of evolutionary algorithms that use probabilistic models to guide their search, motivates and describes BOA and hBOA in a way accessible to a wide audience, and presents numerous results confirming that they are revolutionary approaches to black-box optimization.

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From the Back Cover

This book provides a framework for the design of competent optimization techniques by combining advanced evolutionary algorithms with state-of-the-art machine learning techniques. The book focuses on two algorithms that replace traditional variation operators of evolutionary algorithms by learning and sampling Bayesian networks: the Bayesian optimization algorithm (BOA) and the hierarchical BOA (hBOA). BOA and hBOA are theoretically and empirically shown to provide robust and scalable solution for broad classes of nearly decomposable and hierarchical problems. A theoretical model is developed that estimates the scalability and adequate parameter settings for BOA and hBOA. The performance of BOA and hBOA is analyzed on a number of artificial problems of bounded difficulty designed to test BOA and hBOA on the boundary of their design envelope. The algorithms are also extensively tested on two interesting classes of real-world problems: MAXSAT and Ising spin glasses with periodic boundary conditions in two and three dimensions. Experimental results validate the theoretical model and confirm that BOA and hBOA provide robust and scalable solution for nearly decomposable and hierarchical problems with only little problem-specific information.

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Inside This Book (learn more)
First Sentence:
Genetic algorithms (GAs) [53, 83] are stochastic optimization methods inspired by natural evolution and genetics. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hierarchical traps, trap partition, scalability theory, folded trap, bounded difficulty, subproblems converge, decomposable problems, population sizing, hounded order, collateral noise, required population size, new candidate solutions, problems decomposable, critical population size, adequate population size, decision graphs, hierarchical problems, binary tournament selection, fitness contributions, uniform crossover, fitness variance, deceptive functions, proper decomposition, road function, reliable convergence
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Probabilistic Modeling, Structure Level, Tournaments Selected, Martin Pelikan, Springer-Verlag Berlin Heidelberg
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