Abstract:Forecasting long-term time series in IoT environments remains a significant challenge due to the non-stationary and multi-scale characteristics of sensor signals. Furthermore, error accumulation causes a decrease in forecast quality when predicting further into the future. Traditional methods are restricted to operate in time-domain, while the global frequency information achieved by Fourier transform would be regarded as stationary signals leading to blur the temporal patterns of transient events. We propose AWEMixer, an Adaptive Wavelet-Enhanced Mixer Network including two innovative components: 1) a Frequency Router designs to utilize the global periodicity pattern achieved by Fast Fourier Transform to adaptively weight localized wavelet subband, and 2) a Coherent Gated Fusion Block to achieve selective integration of prominent frequency features with multi-scale temporal representation through cross-attention and gating mechanism, which realizes accurate time-frequency localization while remaining robust to noise. Seven public benchmarks validate that our model is more effective than recent state-of-the-art models. Specifically, our model consistently achieves performance improvement compared with transformer-based and MLP-based state-of-the-art models in long-sequence time series forecasting. Code is available at https://github.com/hit636/AWEMixer
Abstract:We conducted rigorous ablation studies to validate DPANet's key components (Table \ref{tab:ablation-study}). The full model consistently outperforms all variants. To test our dual-domain hypothesis, we designed two specialized versions: a Temporal-Only model (fusing two identical temporal pyramids) and a Frequency-Only model (fusing two spectral pyramids). Both variants underperformed significantly, confirming that the fusion of heterogeneous temporal and frequency information is critical. Furthermore, replacing the cross-attention mechanism with a simpler method (w/o Cross-Fusion) caused the most severe performance degradation. This result underscores that our interactive fusion block is the most essential component.