Unlocking the Power of Patch: Patch-Based MLP for Long-Term Time Series Forecasting
Peiwang Tang, Weitai Zhang
Abstract
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 crossvariable 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.
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Cited by top-tier papers21
- Enhancing Time Series Forecasting through Selective Representation Spaces: A Patch PerspectiveXingjian Wu, Xiangfei Qiu, Hanyin Cheng, Zhengyu Li et al.NeurIPS 2025 · 58 citations
- MoFo: Empowering Long-term Time Series Forecasting with Periodic Pattern ModelingJiaming Ma, Binwu Wang, Qihe Huang, Guanjun Wang et al.NeurIPS 2025 · 21 citations
- PhaseFormer: From Patches to Phases for Efficient and Effective Time Series ForecastingYiming Niu, Jinliang Deng, Yongxin TongICLR 2026 · 13 citations
- PHAT: Modeling Period Heterogeneity for Multivariate Time Series ForecastingJiaming Ma, Qihe Huang, Haofeng Ma, Guanjun Wang et al.ICLR 2026 · 6 citations
- CrossLinear: Plug-and-Play Cross-Correlation Embedding for Time Series Forecasting with Exogenous VariablesPengfei Zhou, Yunlong Liu, Junli Liang, Qi Song et al.KDD 2025 · 5 citations
Builds on16
- Autoformer: Decomposition Transformers with Auto-Correlation for Long-Term Series ForecastingHaixu Wu, Jiehui Xu, Jianmin Wang, Mingsheng LongNeurIPS 2021 · 5,824 citations
- FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series ForecastingTian Zhou, Ziqing Ma, Qingsong Wen, Xue Wang et al.ICML 2022 · 2,912 citations
- iTransformer: Inverted Transformers Are Effective for Time Series ForecastingYong Liu, Tengge Hu, Haoran Zhang, Haixu Wu et al.ICLR 2024 · 1,703 citations
- N-BEATS: Neural basis expansion analysis for interpretable time series forecastingBoris N. Oreshkin, Dmitri Carpov, Nicolas Chapados, Yoshua BengioICLR 2020 · 1,550 citations
- Non-stationary Transformers: Exploring the Stationarity in Time Series ForecastingYong Liu, Haixu Wu, Jianmin Wang, Mingsheng LongNeurIPS 2022 · 1,080 citations
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