Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Ensemble Method Based on Markov Models for Time Series Forecasting. / Belousova, Ekaterina E.; Rakitskiy, Anton.
Proceedings - 2025 IEEE Ural-Siberian Conference on Biomedical Engineering, Radioelectronics and Information Technology, USBEREIT 2025. Institute of Electrical and Electronics Engineers Inc., 2025. p. 130-133.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Ensemble Method Based on Markov Models for Time Series Forecasting
AU - Belousova, Ekaterina E.
AU - Rakitskiy, Anton
N1 - Conference code: 5
PY - 2025
Y1 - 2025
N2 - Markov chains are a powerful mathematical tool widely used for modeling stochastic processes. This paper provides an overview of the Markov chains concept and their application in predicting time series data. While traditional Markov models rely on first-order dependencies, higher-order chains capture complex temporal patterns. Using ensemble methods instead of simple model can bring significant advantages, especially when working with complex real-world data. Ensembles can demonstrate greater robustness to outliers and noise and, by combining the models, achieve better generalization capabilities. By combining Markov models of varying orders, ensembles mitigate noise sensitivity and enhance generalization capabilities. This work introduces a novel ensemble method where weighted coefficients combine predictions from multiple Markov chains. The weights are assigned based on the concept of the R-measure, a theoretical framework inspired by universal coding principles, which serves as a consistent probability estimator for stationary and ergodic processes. Experimental results on real dataset are provided, demonstrating the potential of proposed method. This research underscores the potential of ensemble-based Markov models as a scalable and reliable tool for real-world forecasting tasks.
AB - Markov chains are a powerful mathematical tool widely used for modeling stochastic processes. This paper provides an overview of the Markov chains concept and their application in predicting time series data. While traditional Markov models rely on first-order dependencies, higher-order chains capture complex temporal patterns. Using ensemble methods instead of simple model can bring significant advantages, especially when working with complex real-world data. Ensembles can demonstrate greater robustness to outliers and noise and, by combining the models, achieve better generalization capabilities. By combining Markov models of varying orders, ensembles mitigate noise sensitivity and enhance generalization capabilities. This work introduces a novel ensemble method where weighted coefficients combine predictions from multiple Markov chains. The weights are assigned based on the concept of the R-measure, a theoretical framework inspired by universal coding principles, which serves as a consistent probability estimator for stationary and ergodic processes. Experimental results on real dataset are provided, demonstrating the potential of proposed method. This research underscores the potential of ensemble-based Markov models as a scalable and reliable tool for real-world forecasting tasks.
KW - Markov chains
KW - ensemble learning
KW - forecasting
KW - higher-order Markov models
KW - time series
KW - Sensitivity
KW - Biological system modeling
KW - Time series analysis
KW - Noise
KW - Stochastic processes
KW - Predictive models
KW - Mathematical models
KW - Robustness
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105011288603&origin=inward
UR - https://www.mendeley.com/catalogue/2efdcc30-1ba1-318b-9386-f39feb87a6e5/
U2 - 10.1109/USBEREIT65494.2025.11054151
DO - 10.1109/USBEREIT65494.2025.11054151
M3 - Conference contribution
SN - 979-8-3503-9271-5
SP - 130
EP - 133
BT - Proceedings - 2025 IEEE Ural-Siberian Conference on Biomedical Engineering, Radioelectronics and Information Technology, USBEREIT 2025
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2022 Ural-Siberian Conference on Biomedical Engineering, Radioelectronics and Information Technology
Y2 - 19 September 2022 through 21 September 2022
ER -
ID: 68584857