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Unlocking the Power of Patch: Patch-Based MLP for Long-Term Time Series Forecasting

About

Recent studies have attempted to refine the Transformer architecture to demonstrate its effectiveness in Long-Term Time Series Forecasting (LTSF) tasks. Despite surpassing many linear forecasting models with ever-improving performance, we remain skeptical of Transformers as a solution for LTSF. We attribute the effectiveness of these models largely to the adopted Patch mechanism, which enhances sequence locality to an extent yet fails to fully address the loss of temporal information inherent to the permutation-invariant self-attention mechanism. Further investigation suggests that simple linear layers augmented with the Patch mechanism may outperform complex Transformer-based LTSF models. Moreover, diverging from models that use channel independence, our research underscores the importance of cross-variable interactions in enhancing the performance of multivariate time series forecasting. The interaction information between variables is highly valuable but has been misapplied in past studies, leading to suboptimal cross-variable models. Based on these insights, we propose a novel and simple Patch-based MLP (PatchMLP) for LTSF tasks. Specifically, we employ simple moving averages to extract smooth components and noise-containing residuals from time series data, engaging in semantic information interchange through channel mixing and specializing in random noise with channel independence processing. The PatchMLP model consistently achieves state-of-the-art results on several real-world datasets. We hope this surprising finding will spur new research directions in the LTSF field and pave the way for more efficient and concise solutions.

Peiwang Tang, Weitai Zhang• 2024

Related benchmarks

TaskDatasetResultRank
Time Series ForecastingETTh2
MSE0.395
796
Time Series ForecastingETTm2
MSE0.287
300
Time Series ForecastingECL
MSE0.196
294
Time Series Forecastingsolar
MSE0.277
106
Long-term time-series forecastingETTh2 Average
MSE0.395
27
Time Series ForecastingETTh1 Horizon 96 (test)
MSE0.391
26
Time Series ForecastingEPF NP
MSE0.313
20
Long-term time-series forecastingETTh1 Average
MSE0.463
18
Battery Degradation Trajectory ForecastingLi-ion battery dataset
MAPE (%)2.819
12
Battery Degradation Trajectory ForecastingNa-ion battery dataset
MAPE (%)1.35
12
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