arXiv — Machine Learning · · 3 min read

Ground-Truth Neighborhood Regularization for Reinforcement Learning Post-Training of Time Series Foundation Models

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Computer Science > Machine Learning

arXiv:2608.08010 (cs)
[Submitted on 8 Aug 2026]

Title:Ground-Truth Neighborhood Regularization for Reinforcement Learning Post-Training of Time Series Foundation Models

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Abstract:Time series forecasting (TSF) plays an important role in a wide range of real-world applications. Recently, time series foundation models (TSFMs), pretrained on large-scale datasets, have demonstrated strong generalization capabilities and emerged as an important paradigm for TSF. Reinforcement learning (RL) post-training has consequently attracted growing attention as a means of further improving their performance on downstream tasks. However, we find that, in certain forecast regions, RL post-training may gradually shift the output distributions of TSFMs away from the ground truth, thereby limiting their performance. We refer to this phenomenon as \textbf{suboptimal collapse}. Our analysis suggests that difficulty in initially sampling high-quality trajectories near the ground truth is an important contributing factor to suboptimal collapse. To address this issue, we propose Ground-Truth Neighborhood Regularization (GTN-R) for RL post-training of TSFMs. GTN-R uses the ground truth as a reference for locating high-quality regions and guides the model's probability mass toward the ground-truth neighborhood. This increases the probability of sampling high-quality trajectories, mitigates suboptimal collapse, and improves performance. Moreover, GTN-R can be flexibly integrated into various RL methods for TSFMs. Extensive experiments show its effectiveness.
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI)
Cite as: arXiv:2608.08010 [cs.LG]
  (or arXiv:2608.08010v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2608.08010
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Jianqi Zhang [view email]
[v1] Sat, 8 Aug 2026 08:41:33 UTC (2,564 KB)
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