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Time-o1 addresses critical limitations in standard loss functions for time-series forecasting by introducing a transform-enhanced approach that mitigates label autocorrelation and reduces optimization complexity. This method achieves state-of-the-art performance across various models, offering a more robust framework for long-term prediction tasks where traditional mean squared error often fails. The research provides an open-source implementation, enabling practitioners to adopt this decorrelated component alignment strategy without switching underlying forecast architectures.
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Time-o1: Time-Series Forecasting Needs Transformed Label Alignment

arXiv2 min read

arXiv:2505.17847v3 Announce Type: replace Abstract: Training time-series forecasting models poses unique challenges in loss function design. Most existing approaches adopt temporal mean squared error, but this study reveals two critical limitations: (1) it ignores the presence of label autocorrelation, which biases it from the true label sequence likelihood; (2) it involves excessive number of tasks, which complicates optimization, especially for long-term forecasting. To address these issues, we introduce Time-o1, a transform-enhanced loss function for time-series forecasting. The central idea is to transform the label sequence into decorrelated components with discriminated significance. Models are then trained to align the most significant components, thereby effectively mitigating label autocorrelation and reducing task amount. Experiments demonstrate that Time-o1 achieves state-of-the-art performance and is compatible with various forecast models. Code is available at https://github.com/Master-PLC/Time-o1.

Abstract:Training time-series forecasting models poses unique challenges in loss function design. Most existing approaches adopt temporal mean squared error, but this study reveals two critical limitations: (1) it ignores the presence of label autocorrelation, which biases it from the true label sequence likelihood; (2) it involves excessive number of tasks, which complicates optimization, especially for long-term forecasting. To address these issues, we introduce Time-o1, a transform-enhanced loss function for time-series forecasting. The central idea is to transform the label sequence into decorrelated components with discriminated significance. Models are then trained to align the most significant components, thereby effectively mitigating label autocorrelation and reducing task amount. Experiments demonstrate that Time-o1 achieves state-of-the-art performance and is compatible with various forecast models. Code is available at this https URL.

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Systems and Control (eess.SY)

arXiv:2505.17847 [cs.LG]

(or arXiv:2505.17847v3 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2505.17847 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 225 words

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