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Understanding elementary landscapes
Author(s) -
Darrell Whitley,
Andrew M. Sutton,
Adele E. Howe
Publication year - 2008
Publication title -
citeseer x (the pennsylvania state university)
Language(s) - English
Resource type - Conference proceedings
DOI - 10.1145/1389095.1389208
Subject(s) - formalism (music) , smoothness , computer science , construct (python library) , mathematical optimization , set (abstract data type) , topology (electrical circuits) , theoretical computer science , mathematics , combinatorics , art , mathematical analysis , musical , visual arts , programming language
The landscape formalism unites a finite candidate solution set to a neighborhood topology and an objective function. This construct can be used to model the behavior of local search on combinatorial optimization problems. A landscape is elementary when it possesses a unique property that results in a relative smoothness and decomposability to its structure. In this paper we explain elementary landscapes in terms of the expected value of solution components which are transformed in the process of moving from an incumbent solution to a neighboring solution. We introduce new results about the properties of elementary landscapes and discuss the practical implications for search algorithms.L. Darrell Whitley, Andrew M. Sutton, Adele E. How

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