偏最小二乘法 Resources

Showing items tagged with "偏最小二乘法"

Partial Least Squares (PLS) regression is widely applied across numerous domains. This package provides a comprehensive function implementing PLS regression using the Nonlinear Iterative Partial Least Squares (NIPALS) algorithm, accompanied by detailed tutorial materials explaining the algorithm's mechanics and practical implementation.

MATLAB 196 views Tagged

Application Background For a long time, there has been a clear distinction between model-based methods and epistemological approaches. Partial Least Squares (PLS) organically integrates these two methodologies, enabling simultaneous implementation of regression modeling (multivariate linear regression), data structure simplification (principal component analysis), and correlation analysis between two variable sets (canonical correlation analysis) within a single algorithm. This represents a significant breakthrough in multivariate statistical data analysis. Key Technology As a multivariate linear regression method, the primary objective of PLS regression is to establish a linear model: Y=XB+E, where Y is the response matrix with m variables and n sample points, X is the predictor matrix with p variables and n sample points, B is the regression coefficient matrix, and E represents the noise correction model with the same dimensions as Y. Typically, variables X and Y are standardized before computation by subtracting their means and dividing by standard deviations.

MATLAB 240 views Tagged

The Partial Least Squares (PLS) method refers to performing principal component analysis for dimensionality reduction on datasets before conducting linear regression analysis based on least squares. The following source code is provided in its complete form by the GreenSim team for free use, with proper attribution required to GreenSim team (http://blog.sina.com.cn/greensim). The implementation includes key components for covariance maximization and projection calculations.

MATLAB 204 views Tagged

Eigenvector's Partial Least Squares Toolbox - Version 3.0. Standalone/no installation required. Includes PLS regression, discriminant analysis, and multivariate calibration algorithms with MATLAB-compatible functions.

MATLAB 237 views Tagged