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	Detecting the epistatic structure of generalized embedded landscape
	Zhou, Shude ; Heckendorn, Robert B. ; Sun, Zengqi
	2010-05-06 ; 2010-05-06
关键词	linkage detection epistasis genetic algorithm Fourier transform generalized embedded landscape problem structure EVOLUTIONARY OPTIMIZATION DISTRIBUTIONS MODELS Computer Science, Artificial Intelligence Computer Science, Theory & Methods
中文摘要	Working under the premise that most optimizable functions are of bounded epistasis, this paper addresses the problem of discovering the linkage structure of a black-box function with a domain of arbitrary-cardinality under the assumption of bounded epistasis. To model functions of bounded epistasis, we develop a generalization of the mathematical model of "embedded landscapes" over domains of cardinality M. We then generalize the Walsh transform as a discrete Fourier transform, and develop algorithms for linkage learning of epistatically bounded GELs. We propose Generalized Embedding Theorem that models the relationship between the underlying decomposable structure of GEL and its Fourier coefficients. We give a deterministic algorithm to exactly calculate the Fourier coefficients of GEL with bounded epistasis. Complexity analysis shows that the epistatic structure of epistatically bounded GEL can be obtained after a polynomial number of function evaluations. Finally, an example experiment of the algorithm is presented.
语种	英语 ; 英语
出版者	SPRINGER ; NEW YORK ; 233 SPRING STREET, NEW YORK, NY 10013 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/10388]
专题	清华大学
推荐引用方式 GB/T 7714	Zhou, Shude,Heckendorn, Robert B.,Sun, Zengqi. Detecting the epistatic structure of generalized embedded landscape[J],2010, 2010.
APA	Zhou, Shude,Heckendorn, Robert B.,&Sun, Zengqi.(2010).Detecting the epistatic structure of generalized embedded landscape..
MLA	Zhou, Shude,et al."Detecting the epistatic structure of generalized embedded landscape".(2010).

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