论文标题

FREDO:基于频域的长期时间序列预测

FreDo: Frequency Domain-based Long-Term Time Series Forecasting

论文作者

Sun, Fan-Keng, Boning, Duane S.

论文摘要

预测未来的能力对许多应用程序非常有益,包括但不限于气候,能源消耗和物流。但是,由于噪声或测量误差,人们可以合理地预测到未来多远是值得怀疑的。在本文中,我们首先在数学上表明,由于误差积累,复杂的模型可能不会超过长期预测的基线模型。为了证明,我们表明,基于周期性的非参数基线模型实际上可以实现与各种数据集上基于最新变压器的模型相当的性能。我们进一步提出了FREDO,这是一种基于频域的神经网络模型,该模型建立在基线模型之上,以提高其性能,并且大大优于最先进的模型。最后,我们通过比较在频率V.S中训练的单变量模型来验证频域确实更好。时域。

The ability to forecast far into the future is highly beneficial to many applications, including but not limited to climatology, energy consumption, and logistics. However, due to noise or measurement error, it is questionable how far into the future one can reasonably predict. In this paper, we first mathematically show that due to error accumulation, sophisticated models might not outperform baseline models for long-term forecasting. To demonstrate, we show that a non-parametric baseline model based on periodicity can actually achieve comparable performance to a state-of-the-art Transformer-based model on various datasets. We further propose FreDo, a frequency domain-based neural network model that is built on top of the baseline model to enhance its performance and which greatly outperforms the state-of-the-art model. Finally, we validate that the frequency domain is indeed better by comparing univariate models trained in the frequency v.s. time domain.

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