cs.AI updates on arXiv.org 07月21日 12:06
Time Series Forecastability Measures
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本文提出两种量化时间序列预测性的指标:频谱预测得分和最大李雅普诺夫指数,通过评估时间序列数据在模型开发前的预测特性,帮助预测者选择更可预测的产品和供应链环节。

arXiv:2507.13556v1 Announce Type: cross Abstract: This paper proposes using two metrics to quantify the forecastability of time series prior to model development: the spectral predictability score and the largest Lyapunov exponent. Unlike traditional model evaluation metrics, these measures assess the inherent forecastability characteristics of the data before any forecast attempts. The spectral predictability score evaluates the strength and regularity of frequency components in the time series, whereas the Lyapunov exponents quantify the chaos and stability of the system generating the data. We evaluated the effectiveness of these metrics on both synthetic and real-world time series from the M5 forecast competition dataset. Our results demonstrate that these two metrics can correctly reflect the inherent forecastability of a time series and have a strong correlation with the actual forecast performance of various models. By understanding the inherent forecastability of time series before model training, practitioners can focus their planning efforts on products and supply chain levels that are more forecastable, while setting appropriate expectations or seeking alternative strategies for products with limited forecastability.

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时间序列预测 预测性量化 频谱预测得分 李雅普诺夫指数 M5竞赛数据
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