Regression Analysis of Traditional Chinese Medicine Dose-Effect Data Using a KPCA-PLS Method Based on a Weighted Mixed-Kernel Function
(Jiangxi University of Chinese Medicine, Nanchang 330004, China)
Abstract
Traditional Chinese Medicine (TCM) dose-effect data typically feature small sample sizes, strong correlations among variables, and complex nonlinear relationships, making it difficult for traditional multivariate regression methods to meet the corresponding analytical requirements. To address these problems, this paper integrates the respective advantages of Kernel Principal Component Analysis (KPCA) and Partial Least Squares (PLS) and proposes a feature-weighted mixed-kernel KPCA-PLS regression method. First, the method uses Partial Least Squares-Variable Importance in Projection (PLS-VIP) to measure feature importance and calculate feature weights. These weights are incorporated into the subsequent construction of kernel functions to enhance the model’s sensitivity to key variables. Second, a mixed-kernel learning structure combining a Radial Basis Function (RBF) kernel and a Polynomial (Poly) kernel is constructed in KPCA to extract principal components, thereby accounting for both local and global feature extraction capabilities. The principal components extracted by KPCA are then input into the PLS model for regression. A multi-population genetic algorithm is introduced to automatically optimize combinations of kernel-function parameters during iteration and obtain optimal regression performance. The proposed method is compared with six other methods on two TCM datasets and three public datasets, and the results demonstrate its superiority.
Keywords
TCM dose-effect data; feature weighting; KPCA; PLS
References
- [1] Zhao L,Zhang H,Li N,et al. Network Pharmacology, A Promising Approach to Reveal the Pharmacology Mechanism of Chinese Medicine Formula [J/OL].Journal of ethnopharmacology,2023,309:116306.https://doi.org/10.1016/j.jep.2023.116306.
- [2] Korchevskiy A A,Korchevskiy A. Non-linearity in Cancer Dose-Response: the Role of Exposure Duration [J/OL].Computational Toxicology,2022,22:100217.https://doi.org/10.1016/j.comtox.2022.100217.
- [3] He J X,Huang L W,Xiao Y,et al. Prediction model of Continuous Discharge Coefficient from Tank Based on KPCA-DE-SVR [J/OL].Journal of Loss Prevention in the Process Industries,2024,89:105316.https://doi.org/10.1016/j.jlp.2024.105316.
- [4] Li X H,Jia R C,Zhang R R,et al. A KPCA-BRANN Based Data-Driven Approach to Model Corrosion Degradation of Subsea oil Pipelines [J/OL].Reliability Engineering & System Safety,2022,219:108231.https://www.sciencedirect.com/science/article/abs/pii/S0951832021007092?via%3Dihub.
- [5] Schölkopf B,Smola A,Müller K R. Nonlinear Component Analysis As A Kernel Eigenvalue Problem [J].Neural Computation,1998,10(5):1299-1319.
- [6] Wold S,Sjöström M,Eriksson L. PLS-regression: A Basic tool of Chemometrics [J].Chemometrics and Intelligent Laboratory Systems,2001,58(2):109-130.
- [7] Liu X Z,Yang X,Guo R X. Regional Differences in Fossil Energy-Related Carbon Emissions in China’s Eight Economic Regions: Based on the Theil Index and PLS-VIP Method [J/OL].Sustainability,2020,12(7):2576.https://doi.org/10.3390/su12072576.
- [8] Cheng K,Lu Z Z,Wei Y H,et al. Mixed kernel Function Support Vector Regression for Global Sensitivity Analysis [J].Mechanical Systems and Signal Processing,2017,96:201-214.
- [9] Chen Bo, Liu Hongwei, Bao Zheng A fusion kernel optimization algorithm [J]. Journal of Xi'an University of Electronic Science and Technology, 2007 (4): 509-513582
- [10] Forrest S. Genetic algorithms [J].ACM computing surveys (CSUR),1996,28(1):77-80.
- [11] Liu K L,Lin T,Zhong T T,et al. New Methods Based on A Genetic Algorithm Back Propagation (GABP) Neural Network and General Regression Neural Network (GRNN) for Predicting the Occurrence of Trihalomethanes in tap Water [J/OL]. Science of The Total Environment,2023,870:161976.https://doi.org/10.1016/j.scitotenv.2023.161976.
- [12] Wei Z Q,Lu T,Gu R P,et al. DBN-GABP model for Estimation of Aircraft Wake Vortex Parameters Using Lidar Data [J].Chinese Journal of Aeronautics,2024,37(9):347-368.
- [13] Li Y,Jia M,Han X,et al. Towards a Comprehensive Optimization of Engine Efficiency and Emissions by Coupling Artificial Neural Network(ANN)with Genetic Algorithm (GA) [J/OL].Energy,2021,225:120331.https://doi.org/10.1016/j.energy.2021.120331.
- [14] Ranstam J,Cook J A. LASSO Regression [J].Journal of British Surgery,2018,105(10):1348-1348.
- [15] Smith P F,Ganesh S,Liu P. A Comparison of Random Forest Regression and Multiple Linear Regression for Prediction in Neuroscience [J].Journal of Neuroscience Methods,2013,220(1):85-91.
- [16] Li J,An X,Li Q,et al. Application of XGBoost Algorithm in the Optimization of Pollutant Concentration [J/OL].Atmospheric Research,2022,276:106238.https://www.sciencedirect.com/science/article/abs/pii/S0169809522002241?via%3Dihub.
- [17] Zeng Hong, Zhou Qiugui, Luo Ting, etc Comparison of the effects of magnolol and honokiol on diarrhea and gastrointestinal emptying inhibition in mice [J]. Chinese Herbal Medicine, 2015, 38 (10): 2160-2162
- [18] Peng Xinxin, Yi Xin, Liu Jing, etc Differences in response of intestinal contents and mucosal microbiota to the treatment of food accumulation constipation with Zhishi Daozhi decoction [J]. Chinese Journal of Microbiology, 2023, 35 (11): 1241-12471256
Funding
National Natural Science Foundation of China (82260849); Development Plan for University level Science and Technology Innovation Team of Jiangxi University of Traditional Chinese Medicine (CXTD22015)
About the authors
Li Xiang (2001-), male, Han nationality, from Tongling, Anhui, master's student, research direction: pharmaceutical data mining; Corresponding author: Nie Bin (1972-), male, Han ethnicity, from Xiajiang, Jiangxi Province, professor, master's supervisor, doctoral student, research direction: pharmaceutical data mining, traditional Chinese medicine informatics, traditional Chinese medicine; Zheng Shuifei (1998-), male, Han nationality, from Shangrao, Jiangxi, master's student, research direction: pharmaceutical data mining; Zhang Zhiyao (2001-), female, Han ethnicity, born in Nanchang, Jiangxi Province, is a master's student with a research focus on pharmaceutical data mining; Meng Chong (2003-), male, Han ethnicity, from Fuyang, Anhui Province, is a master's student with a research focus on pharmaceutical data mining; Shi Chenhao (2001-), male, Han ethnicity, from Nantong, Jiangsu, is a master's student with a research focus on pharmaceutical data mining.