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). |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论