arXiv:2505.01781cs.CEcs.AI2025-05

用多变量降噪与分解模型提升投资组合预测精度

Enhancing Black-Litterman Portfolio via Hybrid Forecasting Model Combining Multivariate Decomposition and Noise Reduction

  • 融合SSA、MA-EMD和TCN的混合模型自动生成投资观点
  • 在纳斯达克100成分股上实现更高年化收益与夏普比率
  • 适合量化投资与资产配置研究者参考

现代投资组合构建需要强大的方法来整合数据驱动的洞见。Black-Litterman模型通过贝叶斯框架,结合投资者观点与市场先验,调整均衡收益以形成后验期望。主流研究通过统计模型或机器学习生成主观观点,其中融合分解算法的混合模型表现良好。然而,多数模型忽视噪声影响,单变量时间序列分解难以充分捕捉多变量间信息。多变量分解也存在效率低、分量质量差的问题。本文提出新型混合预测模型SSA-MAEMD-TCN,结合奇异谱分析(SSA)去噪、多变量对齐经验模态分解(MA-EMD)进行频率对齐分解,以及时序卷积网络(TCNs)捕获多金融指标间的复杂时序模式,实现观点生成的自动化与优化。在纳斯达克100指数成分股上的实证测试显示,该模型相比基于MAEMD和MEMD的基线模型具有显著更优的预测性能。优化后的投资组合在短期持有期内表现优异,年化收益率与夏普比率远超传统组合,即使考虑交易成本仍具优势。

原文摘要 · Abstract (English)

Modern portfolio construction demands robust methods for integrating data-driven insights into asset allocation. The Black-Litterman model offers a powerful Bayesian approach to adjust equilibrium returns using investor views to form a posterior expectation along with market priors. Mainstream research mainly generates subjective views through statistical models or machine learning methods, among which hybrid models combined with decomposition algorithms perform well. However, most hybrid models do not pay enough attention to noise, and time series decomposition methods based on single variables make it difficult to fully utilize information between multiple variables. Multivariate decomposition also has problems of low efficiency and poor component quality. In this study, we propose a novel hybrid forecasting model SSA-MAEMD-TCN to automate and improve the view generation process. The proposed model combines Singular Spectrum Analysis (SSA) for denoising, Multivariate Aligned Empirical Mode Decomposition (MA-EMD) for frequency-aligned decomposition, and Temporal Convolutional Networks (TCNs) for deep sequence learning to capture complex temporal patterns across multiple financial indicators. Empirical tests on the Nasdaq 100 Index stocks show a significant improvement in forecasting performance compared to baseline models based on MAEMD and MEMD. The optimized portfolio performs well, with annualized returns and Sharpe ratios far exceeding those of the traditional portfolio over a short holding period, even after accounting for transaction costs.

投资组合多变量分解时序预测量化金融

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