A comparative study of least squares, partial least squares, and ridge regression methods on transit time flowmeter measurement modeling

The regression method is an important factor in influencing the fitting performance of the TTUMF measurement model. Ordinary least squares (OLSR), partial least squares (PLSR), and ridge regression (RR) methods are compared in this paper. The polynomial modeling results indicate that the OLSR-derived model displays unsatisfactory model stability due to the collinearity among regressor variables, and the PLSR-derived model shows the best model stability.

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Publication Details

Published
2025-10-02
DOI
https://doi.org/10.1117/12.3083660
Primary Topic
Flow Measurement and Analysis
Type
article
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A comparative study of least squares, partial least squares, and ridge regression methods on transit time flowmeter measurement modeling

Jun Long, Qingyuan Liu, Chunyang Zhao, Wei Guan et al.
Flow Measurement and Analysis
article

A comparative study of least squares, partial least squares, and ridge regression methods on transit time flowmeter measurement modeling

Jun Long, Qingyuan Liu, Chunyang Zhao, Wei Guan, Ping Wang, Jintao Liu, Xudong Wang, Zhou Shi
article en

Abstract

The regression method is an important factor in influencing the fitting performance of the TTUMF measurement model. Ordinary least squares (OLSR), partial least squares (PLSR), and ridge regression (RR) methods are compared in this paper. The polynomial modeling results indicate that the OLSR-derived model displays unsatisfactory model stability due to the collinearity among regressor variables, and the PLSR-derived model shows the best model stability.

Openalex Percentile: Top 69%
Flow Measurement and Analysis
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