Tree-Structured Regression Model Using a Projection Pursuit Approach

In this paper, a new tree-structured regression model—the projection pursuit regression tree—is proposed. It combines the projection pursuit classification tree with the projection pursuit regression. The main advantage of the projection pursuit regression tree is exploring the independent variable...

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Autores principales:	Hyunsun Cho, Eun-Kyung Lee
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	regression tree projection pursuit exploratory data analysis piecewise regression recursive partition Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/3e3bf4743342444bb192ea382c6b6ff7
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id	oai:doaj.org-article:3e3bf4743342444bb192ea382c6b6ff7
record_format	dspace
spelling	oai:doaj.org-article:3e3bf4743342444bb192ea382c6b6ff72021-11-11T14:59:48ZTree-Structured Regression Model Using a Projection Pursuit Approach10.3390/app112198852076-3417https://doaj.org/article/3e3bf4743342444bb192ea382c6b6ff72021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/9885https://doaj.org/toc/2076-3417In this paper, a new tree-structured regression model—the projection pursuit regression tree—is proposed. It combines the projection pursuit classification tree with the projection pursuit regression. The main advantage of the projection pursuit regression tree is exploring the independent variable space in each range of the dependent variable. Additionally, it retains the main properties of the projection pursuit classification tree. The projection pursuit regression tree provides several methods of assigning values to the final node, which enhances predictability. It shows better performance than CART in most cases and sometimes beats random forest with a single tree. This development makes it possible to find a better explainable model with reasonable predictability.Hyunsun ChoEun-Kyung LeeMDPI AGarticleregression treeprojection pursuitexploratory data analysispiecewise regressionrecursive partitionTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 9885, p 9885 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	regression tree projection pursuit exploratory data analysis piecewise regression recursive partition Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	regression tree projection pursuit exploratory data analysis piecewise regression recursive partition Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Hyunsun Cho Eun-Kyung Lee Tree-Structured Regression Model Using a Projection Pursuit Approach
description	In this paper, a new tree-structured regression model—the projection pursuit regression tree—is proposed. It combines the projection pursuit classification tree with the projection pursuit regression. The main advantage of the projection pursuit regression tree is exploring the independent variable space in each range of the dependent variable. Additionally, it retains the main properties of the projection pursuit classification tree. The projection pursuit regression tree provides several methods of assigning values to the final node, which enhances predictability. It shows better performance than CART in most cases and sometimes beats random forest with a single tree. This development makes it possible to find a better explainable model with reasonable predictability.
format	article
author	Hyunsun Cho Eun-Kyung Lee
author_facet	Hyunsun Cho Eun-Kyung Lee
author_sort	Hyunsun Cho
title	Tree-Structured Regression Model Using a Projection Pursuit Approach
title_short	Tree-Structured Regression Model Using a Projection Pursuit Approach
title_full	Tree-Structured Regression Model Using a Projection Pursuit Approach
title_fullStr	Tree-Structured Regression Model Using a Projection Pursuit Approach
title_full_unstemmed	Tree-Structured Regression Model Using a Projection Pursuit Approach
title_sort	tree-structured regression model using a projection pursuit approach
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/3e3bf4743342444bb192ea382c6b6ff7
work_keys_str_mv	AT hyunsuncho treestructuredregressionmodelusingaprojectionpursuitapproach AT eunkyunglee treestructuredregressionmodelusingaprojectionpursuitapproach
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Tree-Structured Regression Model Using a Projection Pursuit Approach

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