arXiv:2512.15113q-fin.CPcs.LG2025-12被引 2

用自适应遗传算法优化支持向量机,提升全球股指长期预测精度与效率

Adaptive Weighted Genetic Algorithm-Optimized SVR for Robust Long-Term Forecasting of Global Stock Indices for investment decisions

  • 通过自适应加权遗传算法搜索最优超参数,兼顾长期趋势与近期变化
  • 相比LSTM和OGA-SVR,MAPE降低19.87%和50.03%,且计算速度更快20倍
  • 适合高净值投资者和机构用于中长期投资决策,尤其关注稳定性与效率

长期价格预测因固有不确定性而极具挑战,尽管短期预测已取得一定成果。然而,准确的长期预测对高净值个人、机构投资者和交易员至关重要。本文提出的改进型遗传算法优化支持向量回归(IGA-SVR)模型专为全球指数长期价格预测设计。在2021至2024年期间,对五项全球指数——印度尼西指数(Nifty)、道琼斯工业平均指数(DJI)、德国DAX绩效指数(DAX)、日经225指数(N225)及上证综指(SSE)——进行长达一年的日度预测测试。结果表明,IGA-SVR相较LSTM将平均绝对百分比误差(MAPE)降低19.87%,相较OGA-SVR降低50.03%,显著优于现有基线模型。同时,LSTM执行时间约为IGA-SVR的20倍,凸显其高精度与高效率。该模型通过最小化训练集全周期与最近五年数据的MAPE算术均值,实现对近期趋势的敏感性与长期趋势的保留,有效避免了传统滚动验证方法中的遗忘效应与近因偏差,从而提升泛化能力。

原文摘要 · Abstract (English)

Long-term price forecasting remains a formidable challenge due to the inherent uncertainty over the long term, despite some success in short-term predictions. Nonetheless, accurate long-term forecasts are essential for high-net-worth individuals, institutional investors, and traders. The proposed improved genetic algorithm-optimized support vector regression (IGA-SVR) model is specifically designed for long-term price prediction of global indices. The performance of the IGA-SVR model is rigorously evaluated and compared against the state-of-the-art baseline models, the Long Short-Term Memory (LSTM), and the forward-validating genetic algorithm optimized support vector regression (OGA-SVR). Extensive testing was conducted on the five global indices, namely Nifty, Dow Jones Industrial Average (DJI), DAX Performance Index (DAX), Nikkei 225 (N225), and Shanghai Stock Exchange Composite Index (SSE) from 2021 to 2024 of daily price prediction up to a year. Overall, the proposed IGA-SVR model achieved a reduction in MAPE by 19.87% compared to LSTM and 50.03% compared to OGA-SVR, demonstrating its superior performance in long-term daily price forecasting of global indices. Further, the execution time for LSTM was approximately 20 times higher than that of IGA-SVR, highlighting the high accuracy and computational efficiency of the proposed model. The genetic algorithm selects the optimal hyperparameters of SVR by minimizing the arithmetic mean of the Mean Absolute Percentage Error (MAPE) calculated over the full training dataset and the most recent five years of training data. This purposefully designed training methodology adjusts for recent trends while retaining long-term trend information, thereby offering enhanced generalization compared to the LSTM and rolling-forward validation approach employed by OGA-SVR, which forgets long-term trends and suffers from recency bias.

长期预测支持向量机遗传算法金融建模

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