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Updated: Dec 23, 2025

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
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LSTM-MSNet: Leveraging Forecasts on Sets of Related Time Series With Multiple Seasonal Patterns.

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    We introduce LSTM-MSNet, a novel framework for forecasting time series with multiple seasonal cycles. This unified approach leverages cross-series knowledge for improved accuracy in multiseasonal forecasting.

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    Area of Science:

    • Machine Learning
    • Time Series Analysis
    • Forecasting

    Background:

    • Accurate forecasting for time series with multiple seasonal cycles is crucial across various industries.
    • Existing univariate methods independently model each time series, missing shared patterns.
    • There is a need for advanced models that can capture complex multiseasonal dynamics.

    Purpose of the Study:

    • To propose LSTM-MSNet, a unified, decomposition-based prediction framework for multiseasonal time series forecasting.
    • To develop a globally trained LSTM network that exploits cross-series knowledge.
    • To integrate state-of-the-art multiseasonal decomposition techniques into the forecasting framework.

    Main Methods:

    • Developed a globally trained Long Short-Term Memory (LSTM) network, LSTM-MSNet.
    • Integrated advanced multiseasonal decomposition techniques to enhance LSTM learning.
    • Evaluated the framework on diverse datasets, including the M4 forecasting competition data.

    Main Results:

    • Demonstrated that a decomposition step is beneficial for disparate data sources.
    • Showed that for homogeneous series, exogenous seasonal variables or no preprocessing are superior.
    • Achieved competitive results, outperforming many existing state-of-the-art multiseasonal forecasting methods.

    Conclusions:

    • LSTM-MSNet offers a flexible and effective framework for multiseasonal time series forecasting.
    • The choice of preprocessing (decomposition, exogenous variables, or none) depends on the data characteristics.
    • The model successfully exploits cross-series information for improved forecasting accuracy.