用混沌振荡机制提升极端市场下的预测能力
COTN: A Chaotic Oscillatory Transformer Network for Complex Volatile Systems under Extreme Conditions
- 融合李振荡器激活函数与门控机制,捕捉市场混沌波动
- 在电力与金融市场中比Informer高17%,比GARCH高40%
- 适合高波动性场景的稳定预测,如危机时期的金融市场
金融与电力市场在极端条件下的精准预测仍面临巨大挑战,因其内在非线性、快速波动及混沌特性。为此,本文提出混沌振荡变压器网络(COTN),创新性地将Transformer架构与新型李振荡器激活函数结合,经最大值池化与lambda门控处理,有效捕捉混沌动态并增强高波动期的响应能力。传统激活函数(如ReLU、GELU)在此类情况下易饱和,而COTN则能保持敏感性。此外,COTN引入自编码自回归(ASR)模块,用于检测并隔离突发价格飙升或崩盘等异常模式,防止核心预测过程被污染,显著提升鲁棒性。在电力现货市场与金融市场的广泛实验表明,该方法具备实际应用价值与强韧性。相比最先进深度学习模型Informer最高提升17%,较传统统计方法GARCH最高提升40%。结果证明COTN在应对真实世界市场不确定性和复杂性方面具有显著优势,为极端压力下的高波动系统预测提供有力工具。
原文摘要 · Abstract (English)
Accurate prediction of financial and electricity markets, especially under extreme conditions, remains a significant challenge due to their intrinsic nonlinearity, rapid fluctuations, and chaotic patterns. To address these limitations, we propose the Chaotic Oscillatory Transformer Network (COTN). COTN innovatively combines a Transformer architecture with a novel Lee Oscillator activation function, processed through Max-over-Time pooling and a lambda-gating mechanism. This design is specifically tailored to effectively capture chaotic dynamics and improve responsiveness during periods of heightened volatility, where conventional activation functions (e.g., ReLU, GELU) tend to saturate. Furthermore, COTN incorporates an Autoencoder Self-Regressive (ASR) module to detect and isolate abnormal market patterns, such as sudden price spikes or crashes, thereby preventing corruption of the core prediction process and enhancing robustness. Extensive experiments across electricity spot markets and financial markets demonstrate the practical applicability and resilience of COTN. Our approach outperforms state-of-the-art deep learning models like Informer by up to 17% and traditional statistical methods like GARCH by as much as 40%. These results underscore COTN's effectiveness in navigating real-world market uncertainty and complexity, offering a powerful tool for forecasting highly volatile systems under duress.
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