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Temporal Trend and Fluctuation Learning via Enhanced Attention Mamba for Carbon Price Interval Forecasting
Lijun Duan1, Jin Chen2,3, Qiankun Zuo2,4
1School of Computer Science and Artificial Intelligence, Hubei University of Education, Wuhan 430205, China.
Entropy (Basel, Switzerland)
|March 28, 2026
Summary
Accurate carbon price forecasting is improved with the new Temporal Trend and Fluctuation Learning (TTFL) model. This method enhances predictions by learning long-term trends and short-term fluctuations for stable carbon trading markets.
Area of Science:
- Environmental Economics
- Data Science
- Financial Forecasting
Background:
- Carbon trading markets are complex and require accurate price forecasting for stability.
- Existing methods fail to capture nonlinear and non-stationary price dynamics.
- Long-term forecasting struggles with the inherent volatility of carbon prices.
Purpose of the Study:
- To propose a novel Temporal Trend and Fluctuation Learning (TTFL) model for interval-valued carbon price forecasting.
- To address the limitations of existing methods in capturing carbon price characteristics.
- To provide a practical tool for stakeholders in carbon markets.
Main Methods:
- Wavelet decomposition to separate price trend and fluctuation learning.
- Enhanced Mamba architecture with state space models for trend learning.
- Attention mechanism with Mamba for fluctuation learning.
- Interval-valued recovery loss function for training stability.
Main Results:
- TTFL model demonstrated superior prediction accuracy and robustness on real-world data.
- The model effectively captures long-term trends and short-term volatility.
- Comparative experiments confirmed TTFL's outperformance against baseline methods.
Conclusions:
- The TTFL model offers a novel forecasting paradigm integrating collaborative learning and selective state space modeling.
- The approach provides actionable insights for policymaking and investment strategies.
- TTFL enhances navigation of complex carbon market environments.
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