Divide and Conquer: A Quick Scheme for Symbolic Regression

doi:10.1142/S0219876221420020

	Divide and Conquer: A Quick Scheme for Symbolic Regression
	Luo ZT(罗长童); Chen C(陈辰); Jiang ZL(姜宗林)
通讯作者	Luo, Changtong([email protected])
发表期刊	INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
	2022-10-01
卷号	19 期号:08 页码:25
ISSN	0219-8762
摘要	Symbolic regression (SR), as a special machine learning method, can produce mathematical models with explicit expressions. It has received increasing attention in recent years. However, finding a concise, accurate expression is still challenging because of its huge search space. In this work, a divide and conquer (D & C) scheme is proposed. It tries to divide the search space into a number of orthogonal sub-spaces based on the separability feature inferred from the sample data (dividing process). For each sub-space, a sub-function is learned (conquering process). The target model function is then reconstructed with the sub-functions according to their separability patterns. To this end, a separability pattern detecting technique, bi-correlation test (Bi-CT), is also proposed. Note that the sub-functions could be determined by any of the existing SR methods, which makes D & C easy to use. The D & C powered SR has been tested on many symbolic regression problems, and the study shows that D & C can help SR to get the target function more quickly and reliably.
关键词	Symbolic regression machine learning divide and conquer bi-correlation test mathematical modeling genetic programming
DOI	10.1142/S0219876221420020
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000904844800002
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
资助项目	National Natural Science Foundation of China[12072353] ; National Natural Science Foundation of China[11532014]
项目资助者	National Natural Science Foundation of China
论文分区	Q3
力学所作者排名	1
RpAuthor	Luo, Changtong
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/91378
专题	高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	Luo ZT,Chen C,Jiang ZL. Divide and Conquer: A Quick Scheme for Symbolic Regression[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS,2022,19,08,:25.Rp_Au:Luo, Changtong
APA	罗长童,陈辰,&姜宗林.(2022).Divide and Conquer: A Quick Scheme for Symbolic Regression.INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS,19(08),25.
MLA	罗长童,et al."Divide and Conquer: A Quick Scheme for Symbolic Regression".INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS 19.08(2022):25.

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