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Generalized projection pursuit regression

Ole C. Lingjærde, Knut Liestøl
1998 SIAM Journal on Scientific Computing  
This paper discusses an extension of PPR to exponential family distributions, called generalized projection pursuit regression (GPPR).  ...  Projection pursuit regression (PPR) can be used to estimate a smooth function of several variables from noisy and scattered data.  ...  Several alternative evaluation criteria exist; a general discussion of GCV and related methods applied to nonparametric regression problems can be found in Wahba [25] and references therein.  ... 
doi:10.1137/s1064827595296574 fatcat:gd7ttnowvzfelkus4gvxorbchm

On Exact Computation of Some Statistics Based on Projection Pursuit in a General Regression Context

Miroslav Šiman
2011 Communications in statistics. Simulation and computation  
Acknowledgments This research work of Miroslav Šiman was supported by Project 1M06047 of the Ministry of Education, Youth and Sports of the Czech Republic.  ...  Projection (Regression) Depth Let us generalize location projection depth, thoroughly investigated in Zuo (2003) , to the points in the general regression setup.  ...  Besides, the projectional quantile regression of Paindaveine and Šiman (2011a,c) appears very useful for the exact computation of many statistics based on projection pursuit methodology where the same  ... 
doi:10.1080/03610918.2011.560730 fatcat:f6mow5ol5nf35hiiqaziatfpau

Projection-Pursuit Regression [chapter]

Multiple and Generalized Nonparametric Regression  
A new method for nonparametric multiple regression is presented. -2-1.  ...  Although the resulting additive model cannot represent completely general regression surfaces, it is still more general than linear regression in allowing for general smooth functions rather  ...  Figure la shows Y plotted against X2 (M) PROJECTION PURSUIT REGRESSION* Jerome H. Friedman Stanford Linear Accelerator Center Stanford University Stanford,  ... 
doi:10.4135/9781412985154.n4 fatcat:hjk4gd3l6jbl5oa4gvg2jmaz5i

Tree-Structured Regression Model Using a Projection Pursuit Approach

Hyunsun Cho, Eun-Kyung Lee
2021 Applied Sciences  
It combines the projection pursuit classification tree with the projection pursuit regression.  ...  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.  ...  In Section 2, the general tree-based regression methods and the projection pursuit approach are reviewed. The main algorithm of the projection pursuit regression tree is in the Section 3.  ... 
doi:10.3390/app11219885 fatcat:glwntlvmrjg2djgjkirizdfl6q

Page 443 of Neural Computation Vol. 5, Issue 3 [page]

1993 Neural Computation  
In this paper, the general form of exploratory projection pursuit is formulated to be an additional constraint for projection pursuit regres- sion.  ...  , Providence, RI 02912 USA We present a novel classification and regression method that com- bines exploratory projection pursuit (unsupervised training) with pro- jection pursuit regression (supervised  ... 

L1 regularized projection pursuit for additive model learning

Xiao Zhang, Lin Liang, Xiaoou Tang, Heung-Yeung Shum
2008 2008 IEEE Conference on Computer Vision and Pattern Recognition  
Two new algorithms are developed for regression and classification respectively: sparse projection pursuit regression and sparse Jensen-Shannon Boosting.  ...  The introduced L 1 regularized projection pursuit encourages sparse solutions, thus our new algorithms are robust to overfitting and present better generalization ability especially in settings with many  ...  Sparse projection pursuit regression Projection pursuit regression (PPR) [5] extends the basic additive model to allow interactions among the variables by projection pursuit.  ... 
doi:10.1109/cvpr.2008.4587356 dblp:conf/cvpr/ZhangLTS08 fatcat:ysq5jnc3urcf5e2sxy7j43wmsy

Projection Pursuit Regression

Jerome H. Friedman, Werner Stuetzle
1981 Journal of the American Statistical Association  
Projection pursuit regression follows a similar prescription.  ...  In Section 7 we relate projection pursuit regression to the projection pursuit technique for cluster analysis presented by Friedman and Tukey (1974) .  ... 
doi:10.1080/01621459.1981.10477729 fatcat:fyr4jvoeq5cezeh7fyyl3lvmve

Study on the Influence of Low-Price Bid Winning and General Subcontracting Management on the Unsafe Behavior Intention of Construction Workers

Jinbao Yao, Zhaozhi Wu, Yanan Wen, Zixuan Peng
2022 Frontiers in Psychology  
Meanwhile, the correlation, regression, and mediating effects of different influencing factors were analyzed through a regressive model to quantify the impact of each variable on the unsafe behavior intention  ...  This is mainly because, in the case of labor buyer's market, the actual salary of workers is not relevant to whether the project is awarded at a low price.  ...  Pursuit of Pressure from External energy workmates conditions saving TABLE 7 | 7 Regression analysis.  ... 
doi:10.3389/fpsyg.2022.822609 pmid:35465578 pmcid:PMC9024306 fatcat:32rcg6a2zvcqfip5b6pc2hcwxi

Combining Exploratory Projection Pursuit and Projection Pursuit Regression with Application to Neural Networks

Nathan Intrator
1993 Neural Computation  
We present a novel classification and regression method that combines exploratory projection pursuit (unsupervised training) with projection pursuit regression (supervised training), to yield a new family  ...  Some improved generalization properties are demonstrated on real-world problems. 'Present address:  ...  In this paper, the general form of exploratory projection pursuit is formulated to be an additional constraint for projection pursuit regression.  ... 
doi:10.1162/neco.1993.5.3.443 fatcat:4oz4aq5yfnharcozmo6rnzhfsi

Seismic comprehensive forecast based on modified project pursuit regression

Anxu Wu, Xiangdong Lin, Changsheng Jiang, Yongxian Zhang, Xiaodong Zhang, Mingxiao Li, Ping'an Li
2009 Earthquake Science  
In the research of projection pursuit for seismic comprehensive forecast, the algorithm of projection pursuit regression (PPR) is one of most applicable methods.  ...  The calculation and analysis show that the projection pursuit model in this paper is characterized by simplicity, celerity and effectiveness.  ...  pursuit regression model.  ... 
doi:10.1007/s11589-009-0563-7 fatcat:omadqepyjngxnmegd6b4l5hwey

On the Use of Projection Pursuit Constraints for Training Neural Networks

Nathan Intrator
1992 Neural Information Processing Systems  
\Ve present a novel classifica t.ioll and regression met.hod that combines exploratory projection pursuit.  ...  (unsupervised traiuing) with projection pursuit. regression (supervised t.raining), t.o yield a. nev"' family of cost./complexity penalLy terms .  ...  In this paper, the general for111 of exploratory projection pursuit is formulated to be an additional constraint for projection pUl'suit regression.  ... 
dblp:conf/nips/Intrator92 fatcat:dhpftxrvvrgx3kdtlo2pnhzbp4

Projection Pursuit Regression

Jerome H. Friedman, Werner Stuetzle
1981 Journal of the American Statistical Association  
A new method for nonparametric multiple regression is presented. -2-1.  ...  Although the resulting additive model cannot represent completely general regression surfaces, it is still more general than linear regression in allowing for general smooth functions rather  ...  Figure la shows Y plotted against X2 (M) PROJECTION PURSUIT REGRESSION* Jerome H. Friedman Stanford Linear Accelerator Center Stanford University Stanford,  ... 
doi:10.2307/2287576 fatcat:3ahsedweirf6thaeze66f2ohh4

Hydrology Forecasting Model of Upper-lower Bound Estimation Based on Projection Pursuit Regression

Wei Li, Jianzhong Zhou, Kuaile Feng, Chengwei He, Xinwei Deng
2017 DEStech Transactions on Engineering and Technology Research  
model only with projection pursuit regression model.  ...  This thesis proposes an upper-lower bound interval estimation forecasting method based on projection pursuit regression model.  ...  Projection pursuit regression Projection Pursuit Regression (PPR) [22] [23] [24] [25] [26] technology is a new multiple-factor modeling technology that combines Projection Pursuit (PP) and Regression  ... 
doi:10.12783/dtetr/emme2016/9814 fatcat:vk53d7pkv5e6dfglyjfuauqdye

Projection Pursuit Gaussian Process Regression [article]

Gecheng Chen, Rui Tuo
2022 arXiv   pre-print
In this work, we consider a projection pursuit model, in which the nonparametric part is driven by an additive Gaussian process regression.  ...  When M ≥ d, the projection pursuit model is in general non-identifiable; see Figure 3 for an example.  ...  Projection pursuit Gaussian process regression In this section, we propose a general approach to reconstruct multi-dimensional functions that admits more complicated sparse representations.  ... 
arXiv:2004.00667v2 fatcat:phx47xc35jdedg2yqmf6mm3qp4

Page 3298 of Mathematical Reviews Vol. , Issue 93f [page]

1993 Mathematical Reviews  
The projection pursuit regression algorithm can be considered as a special case of a more general algorithm and placed in the more general setting of a Hilbert space.  ...  Summary: “Plane-fitting, for example linear regression, principal components or projection pursuit, is treated from a general per- spective.  ... 
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