Dynamics is what you need for time-series forecasting!

Alexis-Raja Brachet, Pierre-Yves Richard, Céline Hudelot
7/21/2025
cs.LGcs.AI

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Abstract

While boundaries between data modalities are vanishing, the usual successful deep models are still challenged by simple ones in the time-series forecasting task. Our hypothesis is that this task needs models that are able to learn the data underlying dynamics. We propose to validate it through both systemic and empirical studies. We develop an original $\texttt{PRO-DYN}$ nomenclature to analyze existing models through the lens of dynamics. Two observations thus emerged: $\textbf{1}$. under-performing architectures learn dynamics at most partially, $\textbf{2}$. the location of the dynamics block at the model end is of prime importance. We conduct extensive experiments to confirm our observations on a set of performance-varying models with diverse backbones. Results support the need to incorporate a learnable dynamics block and its use as the final predictor.

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@article{brachet2025dynamics,
  title  = {Dynamics is what you need for time-series forecasting!},
  author = {Alexis-Raja Brachet and Pierre-Yves Richard and Céline Hudelot},
  year   = {2025},
  eprint = {2507.15774},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2507.15774v1}
}

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