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ABSTRACT
The fitness landscape of a problem is the relation between the solution candidates and their reproduction probability. In order to understand optimization problems, it is essential to also understand the features of fitness landscapes and their interaction. In this paper we introduce a model problem that allows us to investigate many characteristics of fitness landscapes. Specifically noise, affinity for overfitting, neutrality, epistasis, multi-objectivity, and ruggedness can be independently added, removed, and fine-tuned. With this model, we contribute a useful tool for assessing optimization algorithms and parameter settings.
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INDEX TERMS
Primary Classification:
I.
Computing Methodologies
I.2
ARTIFICIAL INTELLIGENCE
I.2.0
General
Additional Classification:
F.
Theory of Computation
F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
F.2.1
Numerical Algorithms and Problems
G.
Mathematics of Computing
G.1
NUMERICAL ANALYSIS
G.1.6
Optimization
Subjects:
Global optimization
H.
Information Systems
H.1
MODELS AND PRINCIPLES
H.1.0
General
General Terms:
Experimentation,
Measurement,
Theory
Keywords:
benchmark,
deceptiveness,
epistasis,
fitness landscape,
genetic algorithm,
model,
multi-objective,
neutrality,
overfitting,
oversimplification,
ruggedness
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