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Multivariate Modeling Analysis Based on Partial Least Squares Regression and Principal Component Regression

Published: 31 May 2022 Publication History

Abstract

In view of the high dimensionality of data in many fields and the serious multiple correlation between variables, this paper proposes an interpretable partial least square regression (PLSR) modeling method. Compared with principal component regression (PCR), when there are a large number of predictors, both PLSR and PCR model the response variables, and the predictors are highly correlated or even collinear. Both of these methods construct new predictors (called components) as linear combinations of the original predictors, but they construct these components in different ways. We use a series of cross-validation experiments to determine the number of components. This paper explores the effectiveness of the above-mentioned two methods. According to the mean square prediction error curve, when the number of components in PLSR is 3 and PCR is 4, better prediction accuracy is obtained.

References

[1]
F. Camarrone and M. M. Van Hulle, "Fast Multiway Partial Least Squares Regression," in IEEE Transactions on Biomedical Engineering, vol. 66, no. 2, pp. 433-443, Feb. 2019.
[2]
A. Tenenhaus, V. Guillemot, X. Gidrol and V. Frouin, "Gene Association Networks from Microarray Data Using a Regularized Estimation of Partial Correlation Based on PLS Regression," in IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 7, no. 2, pp. 251-262, 2010.
[3]
Y. Wu, J. Zhang, J. Zuo, Y. Tan, Z. Han and Z. Zhao, "A Comprehensive Predictive Evaluation Model Based on T-S Fuzzy Neural Network and Regression Fitting Cross Analysis," 2020 International Workshop on Electronic Communication and Artificial Intelligence (IWECAI), 2020, pp. 188-192.
[4]
Z. Liu, J. Zuo, R. lv, Y. Sun and H. Kang, "Research on Time Series Problem Model Based on Dynamic Network NAR and Multiple Regression," 2020 International Conference on Artificial Intelligence and Computer Engineering (ICAICE), 2020, pp. 416-419.
[5]
Fujii K. Least squares method from the view point of deep learning. Advances in Pure Mathematics, 2018, 8(5) :485-493.
[6]
Hoerl A E, Kannard R W, Baldwin K F. Ridge regression: Some simulations. Communications in Statistics-Theory and Methods, 1975, 4(2) :105-123.
[7]
X. Ding, L. He and L. Carin, "Bayesian Robust Principal Component Analysis," in IEEE Transactions on Image Processing, vol. 20, no. 12, pp. 3419-3430, Dec. 2011.
[8]
Y. Luo, D. Tao, K. Ramamohanarao, C. Xu and Y. Wen, "Tensor Canonical Correlation Analysis for Multi-View Dimension Reduction," in IEEE Transactions on Knowledge and Data Engineering, vol. 27, no. 11, pp. 3111-3124, 1 Nov. 2015.
[9]
Wold S, Ruhe A, Wold H, The collinearity problem in linear regression: The partial least squares(PLS)approach to generalized inverse. SIAM Journal on Scientific and Statistical Computing, 1984, 5(3) :735-743.
[10]
Cheng-Te Li, Chia-Tai Hsu, and Man-Kwan Shan. 2018. A Cross-Domain Recommendation Mechanism for Cold-Start Users Based on Partial Least Squares Regression. ACM Trans. Intell. Syst. Technol. 9, 6, Article 67, 2018.
[11]
Q. Zhao, "Higher Order Partial Least Squares (HOPLS): A Generalized Multilinear Regression Method," in IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 35, no. 7, pp. 1660-1673, July 2013.
[12]
Cheng-Te Li, Chia-Tai Hsu, and Man-Kwan Shan. 2018. A Cross-Domain Recommendation Mechanism for Cold-Start Users Based on Partial Least Squares Regression. ACM Trans. Intell. Syst. Technol. 9, 6, Article 67, 2018.
[13]
R. Gan, J. Tan, L. Mo, Y. Li and D. Huang, "Using Partial Least Squares Regression to Fit Small Data of H7N9 Incidence Based on the Baidu Index," in IEEE Access, vol. 8, pp. 60392-60400, 2020. 2983799.
[14]
H. Su and G. Zheng, "A Partial Least Squares Regression-Based Fusion Model for Predicting the Trend in Drowsiness," in IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, vol. 38, no. 5, pp. 1085-1092, Sept. 2008.
[15]
E. Helander, T. Virtanen, J. Nurminen and M. Gabbouj, "Voice Conversion Using Partial Least Squares Regression," in IEEE Transactions on Audio, Speech, and Language Processing, vol. 18, no. 5, pp. 912-921, July 2010.
[16]
Y. Pei, "Linear Principal Component Discriminant Analysis," 2015 IEEE International Conference on Systems, Man, and Cybernetics, 2015, pp. 2108-2113.
[17]
Chunmei Ding, "Principal component analysis of water quality monitoring data in XiaSha region," 2011 International Conference on Remote Sensing, Environment and Transportation Engineering, 2011, pp. 2321-2324.
[18]
X. Han, "Nonnegative Principal Component Analysis for Cancer Molecular Pattern Discovery," in IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 7, no. 3, pp. 537-549, 2010.
[19]
T. -J. Chin and D. Suter, "Incremental Kernel Principal Component Analysis," in IEEE Transactions on Image Processing, vol. 16, no. 6, pp. 1662-1674, June 2007.
[20]
Xingfu Zhang and Xiangmin Ren, "Two Dimensional Principal Component Analysis based Independent Component Analysis for face recognition," 2011 International Conference on Multimedia Technology, 2011, pp. 934-936.

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BIC '22: Proceedings of the 2022 2nd International Conference on Bioinformatics and Intelligent Computing
January 2022
551 pages
ISBN:9781450395755
DOI:10.1145/3523286
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 31 May 2022

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Author Tags

  1. Multiple correlation
  2. Partial least squares regression
  3. Principal component regression
  4. Regression fitting

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