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FAiT: Frequency-Aware Inverted Transformer for Multivariate Time Series Forecasting

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While Transformer-based architectures have established themselves as a dominant paradigm in Multivariate Time Series Forecasting (MTSF), their core self-attention mechanism inherently functions as a low-pass filter, systematically smoothing out high-frequency signals vital for sharp local changes. Recent advancements have increasingly incorporated frequency-domain operations to address this bias, however, most existing designs rely on fixed spectral bases and apply sequence-wise (uniform) modulation, implicitly assuming a time-invariant frequency response. This overlooks a key property of real-world series that their spectral characteristics often evolve over time, making uniform modulation insufficient for capturing fine-grained temporal dynamics. To tackle these limitations, we propose FAiT, a Frequency-Aware inverted Transformer. Specifically, FAiT rectifies the spectral bias internally through Inverted Attention, which interprets the attention map as a learnable low-pass operator and constructs a dedicated complementary high-pass branch by inverting the attention matrix to recover attenuated transient signals. Furthermore, FAiT introduces Dynamic Temporal-Frequency Modulation (DTFM), which synthesizes instance-conditioned weights to adaptively re-calibrate the energy of spectral sub-bands, enabling fine-grained control over evolving multi-scale patterns. Extensive experiments on widely used benchmarks demonstrate that FAiT consistently outperforms state-of-the-art Transformer-based and frequency-enhanced baselines, while maintaining computational efficiency.

Peng He, Yao Liu, Yanglei Gan, Run Lin, Yuxiang Cai, Qiao Liu• 2026

Related benchmarks

TaskDatasetResultRank
Multivariate long-term series forecastingWeather (test)
MSE0.239
328
Multivariate long-term series forecastingETTm2 (test)
MSE0.271
212
Multivariate long-term series forecastingExchange (test)
MSE0.342
204
Multivariate long-term forecastingETTm1 (test)
MSE0.378
196
Multivariate long-term forecastingETTh1 (test)
MSE0.43
183
Multivariate long-term forecastingETTh2 (test)
MSE0.365
182
Multivariate Time-series ForecastingPeMS07
MSE0.097
82
Long-term multivariate forecastingTraffic (test)
MSE0.436
76
Multivariate Time-series ForecastingPeMS08
MSE0.146
75
Multivariate Time-series ForecastingPeMS03
MSE0.131
66
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