A Model-Based Approach to Multidimensional Interpolation Problems
DOI:
https://doi.org/10.22105/kmisj.v1i1.46Keywords:
Multidimensional technological object, interpolation problem, interpolation formula, empirical model, multidimensional interpolation algorithm, discrete informationAbstract
In this article, the problem of forming a sufficient source of information for the optimal management of a discretely defined multidimensional technological object was considered as a problem of multidimensional interpolation. An algorithm for developing a mathematical model of multidimensional interpolation using an empirical method is proposed. The idea of achieving interpolation accuracy based on the requirements for the adequacy of regression models was put forward. Based on the results obtained in the course of the research, it was possible to calculate the interpolation values of the received signal with very high accuracy according to several parameters of the multi-signal forecast models belonging to the same system. Methodologically, the main focus of the research is on building an interpolation function for an object with many parameters and a sufficiently large amount of information and its success.
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