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The AliO framework addresses a critical reliability issue in long-term time series forecasting by enforcing output alignment across lagged input sequences, thereby reducing prediction fluctuations for identical timestamps. By introducing the Time Alignment Metric (TAM) alongside standard error measures, this research offers a more robust evaluation method that complements existing performance metrics like MSE. Ultimately, AliO enhances model consistency in domains such as weather and energy forecasting without sacrificing overall predictive accuracy.
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AliO: Output Alignment Matters in Long-Term Time Series Forecasing

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arXiv:2610.11213v1 Announce Type: new Abstract: Long-term Time Series Forecasting (LTSF) tasks, which leverage the current data sequence as input to predict the future sequence, have become increasingly crucial in real-world applications such as weather forecasting and planning of electricity consumption. However, state-of-the-art LTSF models often fail to achieve prediction output alignment for the same timestamps across lagged input sequences. Instead, these models exhibit low output alignment, resulting in fluctuation in prediction outputs for the same timestamps, undermining the model's reliability. To address this, we propose AliO (Align Outputs), a novel approach designed to improve the output alignment of LTSF models by reducing the discrepancies between prediction outputs for the same timestamps in both the time and frequency domains. To measure output alignment, we introduce a new metric, TAM (Time Alignment Metric), which quantifies the alignment between prediction outputs, whereas existing metrics such as MSE only capture the distance between prediction outputs and ground truths. Experimental results show that AliO effectively improves the output alignment, i.e., up to 58.2% in TAM, while maintaining or enhancing the forecasting performance (up to 27.5%). This improved output alignment increases the reliability of the LTSF models, making them more applicable in real-world scenarios.

Abstract:Long-term Time Series Forecasting (LTSF) tasks, which leverage the current data sequence as input to predict the future sequence, have become increasingly crucial in real-world applications such as weather forecasting and planning of electricity consumption. However, state-of-the-art LTSF models often fail to achieve prediction output alignment for the same timestamps across lagged input sequences. Instead, these models exhibit low output alignment, resulting in fluctuation in prediction outputs for the same timestamps, undermining the model's reliability. To address this, we propose AliO (Align Outputs), a novel approach designed to improve the output alignment of LTSF models by reducing the discrepancies between prediction outputs for the same timestamps in both the time and frequency domains. To measure output alignment, we introduce a new metric, TAM (Time Alignment Metric), which quantifies the alignment between prediction outputs, whereas existing metrics such as MSE only capture the distance between prediction outputs and ground truths. Experimental results show that AliO effectively improves the output alignment, i.e., up to 58.2% in TAM, while maintaining or enhancing the forecasting performance (up to 27.5%). This improved output alignment increases the reliability of the LTSF models, making them more applicable in real-world scenarios.

NeurIPS 2025. 46 pages

Artificial Intelligence (cs.AI)

arXiv:2610.11213 [cs.AI]

(or arXiv:2610.11213v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2610.11213 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

https://doi.org/10.52202/085713-3992 Focus to learn more DOI(s) linking to related resources

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