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AFD-Net: a robust exchange rate forecasting framework integrating frequency-domain decomposition and attention
1School of Information Engineering, Huzhou University, No. 759, East 2nd Ring Road, Wuxing District, Huzhou, 313000, Zhejiang, China.
Scientific Reports
|July 14, 2026
Summary
A new deep learning model, AFD-Net (Attention-Enhanced FAN with DLinear), improves exchange rate forecasting by integrating frequency decomposition and attention mechanisms. This novel approach enhances accuracy, particularly for long-term predictions in financial time series analysis.
Area of Science:
- Quantitative Finance
- Machine Learning
- Time Series Analysis
Background:
- Exchange rate forecasting is challenging due to non-linearity and non-stationarity.
- Existing models struggle with complex temporal dynamics in currency markets.
Purpose of the Study:
- Introduce AFD-Net, a novel deep learning framework for enhanced exchange rate prediction.
- Synergistically integrate frequency-domain decomposition, attention mechanisms, and linear time series modeling.
Main Methods:
- Employ Feature-wise Adaptive Normalization (FAN) for frequency decomposition and stationarity.
- Utilize an attention module to capture salient temporal dependencies.
- Leverage a DLinear backbone for efficient trend and seasonal component prediction.
Main Results:
- AFD-Net consistently outperforms seven state-of-the-art models on Exchange-Rate and IMF datasets.
- Demonstrates superior performance in long-term trend modeling.
- Ablation studies confirm the contributions of FAN and attention components.
Conclusions:
- AFD-Net offers enhanced accuracy and robustness in financial time series forecasting.
- Frequency-aware architectures show significant potential for improving prediction models.
- The FFT-based design of FAN provides substantial performance gains with manageable computational overhead.
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Linear Approximation in Frequency Domain
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Determination of Expected Frequency
Suppose one wants to test independence between the two variables of a contingency table. The values in the table constitute the observed frequencies of the dataset. But how does one determine the expected frequency of the dataset? One of the important assumptions is that the two variables are independent, which means the variables do not influence each other. For independent variables, the statistical probability of any event involving both variables is calculated by multiplying the individual...
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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...