COMPARATIVE ANALYSIS OF COMPUTER MODELS FOR FORECASTING TIME SERIES
Abstract and keywords
Abstract (English):
Computer models of time series forecasting are considered. The forecasting models are implemented in the form of computer programs. The results of computational experiments on estimating the error of short-term forecasting of time series are presented. Mathematical models used to solve forecasting problems are considered, including self-organizing models, models in the form of fuzzy inference systems, models of multilayer feed-forward neural networks, adaptive forecasting models, and piecewise polynomial approximation models. The main attention is paid to short-term forecasting of time series, in which forecasting is carried out one time interval ahead. As computer models of short-term forecasting, a model of an artificial multilayer neural network without feedback with a linear activation function, an exponential smoothing model with adaptation at each time step are considered in detail to time series data and a model of piecewise polynomial approximation, in which the approximating function is composed of individual polynomials of the same small degree (of the third degree – cubic splines). Each computer model is implemented as a computer program, for which a block diagram and program interface are given.

Keywords:
computational experiment, short-term forecasting, time series, mathematical model, computer simulation, computer program
Text
Publication text (PDF): Read Download
Publication text (PDF): Read Download
References

1. Mathematical modeling of complex technical systems: sat. articles. M.: MSTU im. Bauman, 1997.

2. Labinsky A.Yu., Podruzhkina T.A. Reduction of technogenic risks with predictive mathematical models // Natural and technogenic risks. 2013. № 3.

3. Kahneman D. Mathematical Modeling. New York and London, 2016.

4. Pegat A. Fuzzy modeling and control. M.: BINOM, 2013.

5. Labinsky A.Yu. Model of fuzzy forecasting // Problems of risk management in the technosphere. 2016. № 4.

6. Mamdani E.H., Assilian S. An experiment with a fuzzy logic controller // Cybernetics and Systems. 2014. № 15.

7. Tarkhov D.A. Neural networks as a means of mathematical modeling. M.: Radio engineering, 2006.

8. Labinsky A.Yu. Peculiarities of using a neural network for forecasting time series // Scientific and analytical journal «Vestnik Saint-Petersburg university of State fire service of EMERCOM of Russia». 2018. № 1.

9. Barron A.R. Neural net approximation // IEEE Transaction on Information Theory. 2016. Vol. 49.

10. Baldi P. A recurrent neural network // Neural Computation. 2018. Vol. 2.

Login or Create
* Forgot password?