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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2025, Volume 29, Number 1, Pages 174–186
DOI: https://doi.org/10.14498/vsgtu2120
(Mi vsgtu2120)
 

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)
References:
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.
\end{itemize}
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
Bibliographic databases:
Document Type: Article
UDC: 519.24:543.5:544.3
MSC: 65C20, 62P99, 92E20
Language: Russian
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
Citation in format AMSBIB
\Bibitem{MasMos25}
\by K.~Y.~Massalov, E.~Yu.~Moshchenskaya
\paper Development of a predictive model for two- and three-component inorganic systems in aqueous solutions using spectral analysis
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2025
\vol 29
\issue 1
\pages 174--186
\mathnet{http://mi.mathnet.ru/vsgtu2120}
\crossref{https://doi.org/10.14498/vsgtu2120}
\edn{https://elibrary.ru/ZDTCBW}
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