Forecasting Multivariate Chaotic Processes with Precedent Analysis

Predicting the state of a dynamic system influenced by a chaotic immersion environment is an extremely difficult task, in which the direct use of statistical extrapolation computational schemes is infeasible. This paper considers a version of precedent forecasting in which we use the aftereffects of...

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Bibliographic Details
Main Authors: Alexander Musaev, Andrey Makshanov, Dmitry Grigoriev
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Computation
Subjects:
Online Access:https://www.mdpi.com/2079-3197/9/10/110
Description
Summary:Predicting the state of a dynamic system influenced by a chaotic immersion environment is an extremely difficult task, in which the direct use of statistical extrapolation computational schemes is infeasible. This paper considers a version of precedent forecasting in which we use the aftereffects of retrospective observation segments that are similar to the current situation as a forecast. Furthermore, we employ the presence of relatively stable correlations between the parameters of the immersion environment as a regularizing factor. We pay special attention to the choice of similarity measures or distances used to find analog windows in arrays of retrospective multidimensional observations.
ISSN:2079-3197