2021
DOI: 10.3390/app11219885
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Tree-Structured Regression Model Using a Projection Pursuit Approach

Abstract: In this paper, we propose a new tree-structured regression modelthe projection pursuit regression tree.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 classific… Show more

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Cited by 5 publications
(3 citation statements)
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References 25 publications
(26 reference statements)
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“…Figure 2 depicts the network. Furthermore, this study conducts a comparative analysis of three prevalent machine learning algorithms-linear regression, decision tree regression, and XGBoost (eXtreme Gradient Boosting)-to elucidate the superiority of the proposed method in assessing the chlorophyll content within rice leaves ( [42][43][44]).…”
Section: Modeling 251 Convolutional Neural Network and Long Short-ter...mentioning
confidence: 99%
“…Figure 2 depicts the network. Furthermore, this study conducts a comparative analysis of three prevalent machine learning algorithms-linear regression, decision tree regression, and XGBoost (eXtreme Gradient Boosting)-to elucidate the superiority of the proposed method in assessing the chlorophyll content within rice leaves ( [42][43][44]).…”
Section: Modeling 251 Convolutional Neural Network and Long Short-ter...mentioning
confidence: 99%
“…PPA, as a high-dimensional data analysis method, can identify data structures and characteristics by projecting high-dimensional monitoring data into a low-dimensional space. PPA [47][48][49][50] is used to optimize the weight parameters. The calculation steps are given as follows.…”
Section: Weight Optimizationmentioning
confidence: 99%
“…The evaluation of complex system schemes often involves many indicators, and the relationship between indicators is also complex. Conventional scheme decision-making methods mainly adopt the combination of qualitative and quantitative methods, and the fusion of objective information and subjective information, such as fuzzy optimization method (Xu and Zhao, 2008;Ignatius et al, 2018;Sitorus and Brito-Parada, 2022), grey relational analysis (GRA) (Xia et al, 2016;Tian et al, 2018;Cai et al, 2021), TOPSIS method (Liu and Zhang, 2014;Imam and Gurol, 2018), projection pursuit (PP) (Lan and Huang, 2018;Lee, 2018;Cho and Lee, 2021), analytic hierarchy process (AHP) (Wang et al, 2021;Yu et al, 2021;Ye and Chen, 2022) and artificial neural network (Galdo et al, 2021;Yuan et al, 2021;Leng and Huang, 2022). In the decision-making field of reservoir operation schemes, Zhu et al (2017b) used TOPSIS method, fuzzy optimization method and fuzzy matter-element method to rank all feasible flood control alternatives of multi-reservoir system, and the optimization scheme provides support for decision-making.…”
Section: Introductionmentioning
confidence: 99%