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Short Communication
Mathematical Modeling, Numerical Methods and Software Complexes
Development of a predictive model for two- and three-component inorganic systems in aqueous solutions using spectral analysis
K. Y. Massalova, E. Yu. Moshchenskayab a National Engineering Physics Institute "MEPhI", Moscow, 115409, Russian Federation
b Samara State Technical University, Samara, 443100, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
This study presents an algorithm for analyzing spectral data through mathematical modeling, constructing prognostic models, and selecting optimal wavelength intervals for designing LED-based multisensor systems. The algorithm is implemented in Python and validated using experimental data from aqueous solutions of inorganic salts.
Key methodological aspects include:
– Application of multivariate calibration methods (PLS regression and multiple linear regression);
– Utilization of Shapley values to identify informative spectral wavelengths;
– Systematic enumeration to determine optimal wavelength intervals.
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The developed model enables accurate prediction of two- and three-component systems in metal salt solutions using partial spectral data rather than full-spectrum analysis. Cross-validation demonstrates that:
– The model achieves comparable accuracy to full-spectrum approaches;
– The solution remains computationally efficient while maintaining predictive reliability.
The results confirm the model's adequacy for quantitative spectral analysis, particularly in resource-constrained environments where partial spectral data acquisition is advantageous.
Keywords:
multivariate calibration, PLS regression, spectral interval selection, metal ion quantification, Shapley values, chemometrics
Received: October 9, 2024 Revised: February 11, 2025 Accepted: February 21, 2025 First online: April 11, 2025
Citation:
K. Y. Massalov, E. Yu. Moshchenskaya, “Development of a predictive model for two- and three-component inorganic systems in aqueous solutions using spectral analysis”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 29:1 (2025), 174–186
Linking options:
https://www.mathnet.ru/eng/vsgtu2120 https://www.mathnet.ru/eng/vsgtu/v229/i1/p174
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