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Statistical and Machine Learning forecasting methods: Concerns and ways forward.

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Machine learning (ML) methods do not outperform traditional statistical methods for time series forecasting accuracy or computational efficiency. Statistical models remain superior for forecasting tasks based on current evidence.

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Area of Science:

  • Time Series Analysis
  • Computational Statistics
  • Machine Learning

Background:

  • Machine learning (ML) methods are increasingly proposed as alternatives to statistical methods for time series forecasting.
  • There is limited empirical evidence comparing the accuracy and computational demands of ML versus statistical forecasting approaches.
  • The M3 Competition provided a valuable dataset for evaluating forecasting methods.

Purpose of the Study:

  • To empirically evaluate the performance of popular ML methods against traditional statistical methods for time series forecasting.
  • To compare accuracy and computational requirements across multiple forecasting horizons.
  • To provide insights into the relative strengths and weaknesses of ML and statistical forecasting.

Main Methods:

  • Utilized a large subset of 1045 monthly time series from the M3 Competition dataset.
  • Compared the post-sample accuracy of popular ML methods with eight traditional statistical methods.
  • Assessed computational requirements alongside accuracy measures.

Main Results:

  • ML methods were outperformed by statistical methods in terms of accuracy across all examined forecasting horizons.
  • ML methods demonstrated considerably greater computational requirements compared to statistical methods.
  • The study found statistical methods to be more accurate and computationally efficient for time series forecasting.

Conclusions:

  • Traditional statistical methods remain superior to current ML methods for time series forecasting in terms of accuracy and computational efficiency.
  • The paper discusses reasons for ML model underperformance and suggests future research directions.
  • Highlights the importance of large-scale, open competitions for objective forecasting method evaluation.