arXiv Machine Learning By Morad Laglil, Younes Hlal, Marouane El Hadari, Emilie Devijver, Eric Gaussier

Learning to Difference: Adaptive Reversible Differencing (AdaRDiff) for Time Series Forecasting

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AdaRDiff is a new adaptive reversible differencing technique for time‑series forecasting that learns weighted differencing to remove trend and seasonality, stabilizes residuals for forecasting, and then reconstructs the forecast autoregressively. The method offers a closed‑form convolutional implementation that can be GPU‑parallelized, achieving up to 33.7× speedup over naive recurrence. Experiments on eight diverse benchmarks show state‑of‑the‑art accuracy and significant performance gains when integrated into various backbone models, from linear models to Transformers.

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