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
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
UDC:
519.24:543.5:544.3
MSC: 65C20,
62P99,
92E20 Received: October 9, 2024Revised: February 11, 2025Accepted: February 21, 2025First online: April 11, 2025
DOI:
10.14498/vsgtu2120