English

L-Drive: Beyond a Single Mapping-Latent Context Drives Time Series Forecasting

Machine Learning 2026-05-26 v2 Artificial Intelligence

Abstract

Mainstream methods for multivariate time-series forecasting largely follow the Direct-Mapping paradigm. They learn a unified mapping from history to the future in the observation space to fit value-level dependencies. However, real-world systems often undergo distribution shifts and regime changes. In such cases, a unified mapping can exhibit response lag around turning points, causing error accumulation within the switching window and reducing forecasting reliability. To address this issue, we propose L-Drive, a change-aware forecasting framework. L-Drive introduces a Latent-Context, to explicitly characterize high-level dynamics evolving over time, and uses gating to modulate increment representations. This provides more timely change cues and improves adaptation to changing segments. In addition, it incorporates patch-shared relative positional basis functions to strengthen intra-segment structural modeling and reduce overfitting caused by absolute-position memorization. Extensive experiments validate the effectiveness of L-Drive and show a better overall trade-off between forecasting accuracy and computational efficiency.

Keywords

Cite

@article{arxiv.2605.17730,
  title  = {L-Drive: Beyond a Single Mapping-Latent Context Drives Time Series Forecasting},
  author = {Fan Zhang and Shijun Chen and Hua Wang},
  journal= {arXiv preprint arXiv:2605.17730},
  year   = {2026}
}
R2 v1 2026-07-22T07:17:53.751Z