Time Series Determinism Recognition by LSTM Model

The problem of time series determinism measurement is investigated. It is shown that a deep learning model can be used as a determinism measure of a time series. Three distinct time series classes were utilised to verify the feasibility of differentiating deterministic time series: deterministic, deterministic with noise, and stochastic. The LSTM model was constructed for each time series, and its features were thoroughly investigated. The findings of this study demonstrate a strong correlation between the root mean square error (RMSE) of the trained models and the determinism of a time series.

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Publication Details

Journal
Mathematics
Published
2025-06-17
DOI
https://doi.org/10.3390/math13122000
Citations
1
Primary Topic
Neural Networks and Applications
Type
article
Field-Weighted Citation Impact
2.48
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article

Time Series Determinism Recognition by LSTM Model

Janusz Miśkiewicz, Paweł Witkowicz
1 citations
Mathematics
Neural Networks and Applications
2.48
article

Time Series Determinism Recognition by LSTM Model

Janusz Miśkiewicz, Paweł Witkowicz
article en
1 citations

Abstract

The problem of time series determinism measurement is investigated. It is shown that a deep learning model can be used as a determinism measure of a time series. Three distinct time series classes were utilised to verify the feasibility of differentiating deterministic time series: deterministic, deterministic with noise, and stochastic. The LSTM model was constructed for each time series, and its features were thoroughly investigated. The findings of this study demonstrate a strong correlation between the root mean square error (RMSE) of the trained models and the determinism of a time series.

MathematicsVol. 13(12)
University of Wrocław (PL), Wrocław University of Environmental and Life Sciences (PL)
Openalex Percentile: Top 10%
Neural Networks and Applications
2.48
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Time Series Determinism Recognition by LSTM Model — Janusz Miśkiewicz, Paweł Witkowicz · Mathematics (2025) | TGRS Research Map | TGRS