Fast Training of Mixture-of-Experts for Time Series Forecasting via Expert Loss Integration

Fuente: arXiv
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Autores principales: Mahtout, Btissame El, Ziel, Florian
Formato: Preprint
Publicado: 2026
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author Mahtout, Btissame El
Ziel, Florian
author_facet Mahtout, Btissame El
Ziel, Florian
contents We propose a novel adaptive Mixture-of-Experts (MoE) framework for time series forecasting that enhances expert specialization by incorporating expert-specific loss information directly into the training process. Notably, the overall objective comprises the base forecasting loss and expert-specific losses, allowing expert-level prediction errors to jointly shape training alongside the global forecasting loss. This framework is further combined with a partial online learning strategy, enabling incremental updates of both the gating mechanism and expert parameters. This approach significantly reduces computational cost by eliminating the need for repeated full model retraining. By integrating expert-level loss awareness with efficient online optimization, the proposed method achieves improved learning efficiency while maintaining strong predictive performance. Empirical results across economic, tourism, and energy datasets with varying frequencies demonstrate that the proposed approach generally outperforms both statistical methods and state-of-the-art neural network models, such as Transformers and WaveNet, in forecasting accuracy and computational efficiency. Furthermore, ablation studies confirm the effectiveness of the expert-specific loss integration strategy, highlighting its contribution to enhancing predictive performance.
format Preprint
id arxiv_https___arxiv_org_abs_2605_10330
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fast Training of Mixture-of-Experts for Time Series Forecasting via Expert Loss Integration
Mahtout, Btissame El
Ziel, Florian
Machine Learning
Methodology
We propose a novel adaptive Mixture-of-Experts (MoE) framework for time series forecasting that enhances expert specialization by incorporating expert-specific loss information directly into the training process. Notably, the overall objective comprises the base forecasting loss and expert-specific losses, allowing expert-level prediction errors to jointly shape training alongside the global forecasting loss. This framework is further combined with a partial online learning strategy, enabling incremental updates of both the gating mechanism and expert parameters. This approach significantly reduces computational cost by eliminating the need for repeated full model retraining. By integrating expert-level loss awareness with efficient online optimization, the proposed method achieves improved learning efficiency while maintaining strong predictive performance. Empirical results across economic, tourism, and energy datasets with varying frequencies demonstrate that the proposed approach generally outperforms both statistical methods and state-of-the-art neural network models, such as Transformers and WaveNet, in forecasting accuracy and computational efficiency. Furthermore, ablation studies confirm the effectiveness of the expert-specific loss integration strategy, highlighting its contribution to enhancing predictive performance.
title Fast Training of Mixture-of-Experts for Time Series Forecasting via Expert Loss Integration
topic Machine Learning
Methodology
url https://arxiv.org/abs/2605.10330