English

Time-Series Forecasting: Unleashing Long-Term Dependencies with Fractionally Differenced Data

Machine Learning 2023-12-05 v4 Artificial Intelligence Numerical Analysis Numerical Analysis Statistics Theory Statistics Theory

Abstract

This study introduces a novel forecasting strategy that leverages the power of fractional differencing (FD) to capture both short- and long-term dependencies in time series data. Unlike traditional integer differencing methods, FD preserves memory in series while stabilizing it for modeling purposes. By applying FD to financial data from the SPY index and incorporating sentiment analysis from news reports, this empirical analysis explores the effectiveness of FD in conjunction with binary classification of target variables. Supervised classification algorithms were employed to validate the performance of FD series. The results demonstrate the superiority of FD over integer differencing, as confirmed by Receiver Operating Characteristic/Area Under the Curve (ROCAUC) and Mathews Correlation Coefficient (MCC) evaluations.

Keywords

Cite

@article{arxiv.2309.13409,
  title  = {Time-Series Forecasting: Unleashing Long-Term Dependencies with Fractionally Differenced Data},
  author = {Sarit Maitra and Vivek Mishra and Srashti Dwivedi and Sukanya Kundu and Goutam Kumar Kundu},
  journal= {arXiv preprint arXiv:2309.13409},
  year   = {2023}
}
R2 v1 2026-06-28T12:30:27.970Z