2019
DOI: 10.2139/ssrn.3734104
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Method of Statistical Spline Functions for Solving Problems of Data Approximation and Prediction of Objects State

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Cited by 5 publications
(3 citation statements)
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“…To determine the values of the corresponding coefficients, the decomposition characteristic of information signals describing the various defects of the samples under study, it is necessary to obtain a function that approximates the distribution of the values of each of the spectral decomposition coefficients depending on the degree of damage (defectiveness) of the sample under study [19]. Such a function can be determined by interpolating known values of decomposition coefficients, for example, by power polynomials or splines [5]. Further, for each spectral component, it is necessary to select the desired damage degree (defect size) x of the controlled area, determine the value of the spectral components by the established functional dependencies and perform the inverse transformation.…”
Section: Construction and Study Of Approximation Equationsmentioning
confidence: 99%
See 1 more Smart Citation
“…To determine the values of the corresponding coefficients, the decomposition characteristic of information signals describing the various defects of the samples under study, it is necessary to obtain a function that approximates the distribution of the values of each of the spectral decomposition coefficients depending on the degree of damage (defectiveness) of the sample under study [19]. Such a function can be determined by interpolating known values of decomposition coefficients, for example, by power polynomials or splines [5]. Further, for each spectral component, it is necessary to select the desired damage degree (defect size) x of the controlled area, determine the value of the spectral components by the established functional dependencies and perform the inverse transformation.…”
Section: Construction and Study Of Approximation Equationsmentioning
confidence: 99%
“…First, the existence of such model allows you to build a library of information signals that characterize possible defects in composites and therefore can be used to train and configure the information and diagnostic system as a whole or in a particular case of a neural network classifier without physically manufacturing such samples [4]. Secondly, a simulation model of the information signal can be used to verify the accuracy of diagnosis and classification, justify the choice of the most successful architecture and type of neural network classifier, select the threshold sensitivity of the system, validate the information and diagnostic system and, if necessary, adjust its parameters, etc [5].…”
Section: Introductionmentioning
confidence: 99%
“…are equipped with automated control systems for technological parameters [5][6][7]. The controlled parameters, in addition to information about the flow of technological processes, also contains information about the current state of the equipment, the appearance and development of various faults [8][9][10]. Analysis of changes in these parameters, performed after accidents, unscheduled equipment stops, usually shows that there were signs of malfunctions that caused the accident or stop, long before the incident [11][12][13].…”
Section: Introductionmentioning
confidence: 99%