Divide and Conquer: A Quick Scheme for Symbolic Regression

doi:10.1142/S0219876221420020

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	Divide and Conquer: A Quick Scheme for Symbolic Regression
	Luo, Changtong 1,2; Chen, Chen 1,2; Jiang, Zonglin 1,2
刊名	INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
	2022-10-01
卷号	19 期号:08 页码:25
关键词	Symbolic regression machine learning divide and conquer bi-correlation test mathematical modeling genetic programming
ISSN号	0219-8762
DOI	10.1142/S0219876221420020
通讯作者	Luo, Changtong(luo@imech.ac.cn)
英文摘要	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.
资助项目	National Natural Science Foundation of China[12072353] ; National Natural Science Foundation of China[11532014]
WOS研究方向	Engineering ; Mathematics
语种	英语
WOS记录号	WOS:000904844800002
资助机构	National Natural Science Foundation of China
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/91377]
专题	力学研究所_高温气体动力学国家重点实验室
通讯作者	Luo, Changtong
作者单位	1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, State Key Lab High Temp Gas Dynam, Inst Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Luo, Changtong,Chen, Chen,Jiang, Zonglin. Divide and Conquer: A Quick Scheme for Symbolic Regression[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS,2022,19(08):25.
APA	Luo, Changtong,Chen, Chen,&Jiang, Zonglin.(2022).Divide and Conquer: A Quick Scheme for Symbolic Regression.INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS,19(08),25.
MLA	Luo, Changtong,et al."Divide and Conquer: A Quick Scheme for Symbolic Regression".INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS 19.08(2022):25.