Reduction of uncertainty using adaptive modeling under stochastic criteria of information content

• DOI: 10.3389/fams.2022.1092156
• Publication Date: 2023-01-06T14:19:28Z
• Authors: Dmitry Anatolyevi...; Nikita Sergeevich...; Sergey Vladimirov...; Igor Georgievich ...; Sergey Evgenievic...; Ruben Kazaryan; Vasilii Buniak; Alexander Parfenov
• Keywords: T57-57.97; Applied mathematics. Quantitative methods; criterion of uniformity; probabilities; 0103 physical sciences; Shannon entropy; stochastic criteria; uncertainty; Probabilities. Mathematical statistics; 01 natural sciences; QA273-280

Entropy is the concepts from the science of information must be used in the situation where undefined behaviors of the parameters are unknown. The behavior of the casual parameters representing the processes under investigation is a problem that the essay explores from many angles. The provided uniformity criterion, which was developed utilizing the maximum entropy of the metric, has high efficiency and straightforward implementation in manual computation, computer software and hardware, and a variety of similarity, recognition, and classification indicators. The tools required to automate the decision-making process in real-world applications, such as the automatic classification of acoustic events or the fault-detection via vibroacoustic methods, are provided by statistical decision theory to the noise and vibration engineer. Other statistical analysis issues can also be resolved using the provided uniformity criterion.