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2001 017

A Practical Schema Theorem For Genetic Algorithm Design and Tuning

Goldberg, D.E., Sastry, K. (2001)
TR No.: 2001017 | Download PDF | Download PS

Abstract:
This paper develops the theory that can enable the design of genetic
algorithms and choose the parameters such that the proportion of the best
building blocks grow. A practical schema theorem has been used for this
purpose and its ramification for the choice of selection operator and
parameterization of the algorithm is explored. In particular stochastic
universal selection, tournament selection, […]

2001 016

Cluster Optimization Using Extended Compact Genetic Algorithm

Sastry, K., Xiao, G. (2001)
TR No.: 2001016 | Download PDF | Download PS

Abstract:
This paper presents an efficient cluster optimization algorithm. The
proposed algorithm uses extended compact genetic algorithm (ECGA), one of
the competent genetic algorithms (GAs) coupled with Nelder-Mead simplex
local search. The lowest energy structures of silicon clusters with 4-11
atoms have been successfully predicted. The minimum population size and
total number of function (potential energy of the cluster) evaluations
required to […]

2001 015

On the Supply of Building Blocks

Goldberg, D.E., Sastry, K., Latoza, T. (2001)
TR No.: 2001015 | Download PDF | Download PS

Abstract:
This study addresses the issue of building block supply in the initial
population. Facetwise models for supply of a single building block as well
as for supply of all schemata in a partition have been developed. An
estimate for the population size required to ensure the presence of all
raw building blocks has been derived using these facetwise models. […]

2001 030

From TwoMax to the Ising Model: Easy and hard symmetrical problems

Van Hoyweghen, C., Goldberg, D.E., Naudts, B. (2001)
TR No.: 2001030 | Download PDF | Download PS

Abstract:
The paper shows that there is a key dividing line between two types of
symmetrical problems: problems for which a genetic algorithm (GA) benefits from the fact that
genetic drift chooses between equally good partial solutions, and problems for
which all equally good partial solutions have to be preserved to find an
optimum. By analyzing in detail the search […]

2001 014

Modeling Tournament With Replacement Using Apparent Added Noise

Sastry, K., Goldberg, D.E. (2001)
TR No.: 2001014 | Download PDF | Download PS

Abstract:
This paper analyzes the effects of tournament selection with replacement
on the convergence time and population sizing for selectorecombinative
genetic algorithms. This paper empirically demonstrates that the run
duration remains the same and is not affected whether the tournament
selection is performed with or without replacement. However, the
population size required is more if tournament selection is performed with
replacement rather […]

2001 029

Evolutionary Algorithms + Graphical Models = Scalable Black-Box Optimization

Pelikan, M., Sastry, K., Goldberg, D.E. (2001)
TR No.: 2001029 | Download PDF | Download PS

Abstract:
To solve a wide range of different problems, the research in black-box optimization faces several important challenges. One of the most important challenges is the design of methods capable of automatically discovering the regularities in the problem and utilizing these to ensure efficient and reliable search. This paper discusses the Bayesian optimization algorithm (BOA) that […]

2001 013

Don’t Evaluate, Inherit

Sastry, K., Goldberg, D.E., Pelikan, M. (2001)
TR No.: 2001013 | Download PDF | Download PS

Abstract:
This paper studies fitness inheritance as an efficiency enhancement
technique for genetic and evolutionary algorithms. Convergence and
population sizing models are derived and compared with experimental
results. These models are optimized for greatest speed-up and the optimal
inheritance proportion to obtain such a speed-up is derived. Results also
show that when the inheritance effects are considered in the population
sizing model, […]

2001 028

Convergence-time models for the simple genetic algorithm with finite population

Ceroni, A., Pelikan, M., Goldberg, D.E. (2001)
TR No.: 2001028 | Download PDF | Download PS

Abstract:
This paper presents various convergence models for the simple genetic algorithm (SGA) in the case of finite population. A piecewise convergence-time model is derived using ideas from two existing convergence models. The factors affecting the convergence with small population size are explained and used to construct a correct model of the variance in fitness for […]

2001 007

Verification of the Theory of Genetic and Evolutionary Continuation

Srivastava, R.P., Goldberg, D.E. (2001)
TR No.: 2001007 | Download PDF | Download PS

Abstract:
This paper makes a first attempt to study and verify empirically the
theory of proposed continuation operators through systematic formulation
of experiments. Both the basic, and in a sense bounding, cases of
building block salience, as encountered in difficult problems, are dealt
with individually. Experimental results closely match theory and assure
us of the usefulness of an apt blend […]

2001 027

Classifiers that Approximate Functions

Wilson, S.W. (2001)
TR No.: 2001027 | Download PDF | Download PS

Abstract:
A classifier system, XCSF, is introduced in which the prediction
estimation mechanism is used to learn approximations to functions.
The addition of weight vectors to the classifiers allows
piecewise-linear approximation, where the classifier’s
prediction is calculated instead of being a fixed scalar. Results
on functions of up to six dimensions show high accuracy.
The idea of calculating the prediction leads […]