多重共线性
偏最小二乘回归
非线性回归
主成分分析
人工智能
非线性系统
非线性最小二乘法
计算机科学
数学
统计
机器学习
线性回归
数据挖掘
回归分析
解释平方和
物理
量子力学
作者
Wangping Xiong,Yimin Zhu,Qing-xia Zeng,Jianqiang Du,Kaiqi Wang,Jigen Luo,Ming Yang,Xian Zhou
出处
期刊:Mathematical Biosciences and Engineering
[American Institute of Mathematical Sciences]
日期:2023-01-01
卷期号:20 (8): 14395-14413
摘要
<abstract> <p>A dose-effect relationship analysis of traditional Chinese Medicine (TCM) is crucial to the modernization of TCM. However, due to the complex and nonlinear nature of TCM data, such as multicollinearity, it can be challenging to conduct a dose-effect relationship analysis. Partial least squares can be applied to multicollinearity data, but its internally extracted principal components cannot adequately express the nonlinear characteristics of TCM data. To address this issue, this paper proposes an analytical model based on a deep Boltzmann machine (DBM) and partial least squares. The model uses the DBM to extract nonlinear features from the feature space, replaces the components in partial least squares, and performs a multiple linear regression. Ultimately, this model is suitable for analyzing the dose-effect relationship of TCM. The model was evaluated using experimental data from Ma Xing Shi Gan Decoction and datasets from the UCI Machine Learning Repository. The experimental results demonstrate that the prediction accuracy of the model based on the DBM and partial least squares method is on average 10% higher than that of existing methods.</p> </abstract>
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