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FreqCycle: A Multi-Scale Time-Frequency Analysis Method for Time Series Forecasting

arXiv cs.LG / 3/11/2026

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Key Points

  • FreqCycle is a novel time-frequency analysis method designed to improve time series forecasting by mining not only low-frequency patterns but also mid to high frequency components.
  • The framework integrates a Filter-Enhanced Cycle Forecasting (FECF) module for extracting low-frequency shared periodic patterns and a Segmented Frequency-domain Pattern Learning (SFPL) module to boost mid to high frequency energy through learnable filters and adaptive weighting.
  • To handle complex coupled multi-periodicity and long lookback windows, FreqCycle is extended into MFreqCycle, which hierarchically decouples nested periodic features using cross-scale interactions.
  • Extensive experiments on seven different domain benchmarks show that FreqCycle achieves state-of-the-art accuracy while maintaining faster inference speeds, balancing performance and efficiency effectively.

Computer Science > Machine Learning

arXiv:2603.09661 (cs)
[Submitted on 10 Mar 2026]

Title:FreqCycle: A Multi-Scale Time-Frequency Analysis Method for Time Series Forecasting

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Abstract:Mining time-frequency features is critical for time series forecasting. Existing research has predominantly focused on modeling low-frequency patterns, where most time series energy is concentrated. The overlooking of mid to high frequency continues to limit further performance gains in deep learning models. We propose FreqCycle, a novel framework integrating: (i) a Filter-Enhanced Cycle Forecasting (FECF) module to extract low-frequency features by explicitly learning shared periodic patterns in the time domain, and (ii) a Segmented Frequency-domain Pattern Learning (SFPL) module to enhance mid to high frequency energy proportion via learnable filters and adaptive weighting. Furthermore, time series data often exhibit coupled multi-periodicity, such as intertwined weekly and daily cycles. To address coupled multi-periodicity as well as long lookback window challenges, we extend FreqCycle hierarchically into MFreqCycle, which decouples nested periodic features through cross-scale interactions. Extensive experiments on seven diverse domain benchmarks demonstrate that FreqCycle achieves state-of-the-art accuracy while maintaining faster inference speeds, striking an optimal balance between performance and efficiency.
Comments:
Subjects: Machine Learning (cs.LG)
Cite as: arXiv:2603.09661 [cs.LG]
  (or arXiv:2603.09661v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2603.09661
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arXiv-issued DOI via DataCite

Submission history

From: Boya Zhang [view email]
[v1] Tue, 10 Mar 2026 13:34:36 UTC (3,803 KB)
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