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Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills
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Rethinking multivariate modeling in long-term forecasting: an efficient univariate framework with power decomposition

Hongchi Chen1, Jifei Tang1, Lanhua Xia1

  • 1organization=School of communication engineering, Hangzhou Dianzi University, city=Hangzhou, state=Zhejiang, postcode=310018, country=China.

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Summary

This study introduces PDCNet, a univariate model for long-term time series forecasting (LTSF). It effectively handles data challenges, outperforming complex models and reducing memory usage.

Keywords:
Long-term time series forecastingP3D decompositionPost-calibrationUnivariate modeling

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Area of Science:

  • Machine Learning
  • Time Series Analysis
  • Data Science

Background:

  • Long-term time series forecasting (LTSF) is crucial for industries.
  • Current multivariate approaches face challenges like data drift and noise.
  • Univariate modeling offers a potentially more effective and efficient alternative.

Purpose of the Study:

  • To propose PDCNet, a novel univariate model for LTSF.
  • To enhance predictability and adapt to pattern drifts efficiently.
  • To demonstrate the superiority of univariate modeling for LTSF tasks.

Main Methods:

  • Developed Power Decomposition (P3D) to disentangle time series based on data power distribution.
  • Introduced Predictability-ACF analysis for optimal decomposition thresholds.
  • Designed a lightweight online Post-Calibration mechanism to adapt to pattern drifts without retraining.

Main Results:

  • PDCNet consistently outperforms state-of-the-art models on univariate LTSF tasks.
  • Achieved top-tier multivariate performance through simple aggregation.
  • P3D improved accuracy by an average of 15% in 68.57% of cases; calibration further boosted accuracy by 16% in calibrated regions.
  • Reduced GPU memory usage by up to 95% compared to multivariate models.

Conclusions:

  • Capturing internal temporal dependencies within each variable is an efficient and practical approach for LTSF.
  • PDCNet serves as a competitive baseline, offering superior performance with a significantly reduced memory footprint.
  • The proposed methods enhance predictability and adaptability in time series forecasting.