arXiv:2606.09104cs.LGcs.AI2026-06

用贝叶斯向量自回归和椭圆黑-利特曼模型提升投资组合对市场突变与极端收益的适应性。

Addressing Market Regime Changes and Heavy-Tailed Returns in Portfolio Optimization via Bayesian VAR and Elliptical Black-Litterman

  • 融合贝叶斯VAR与椭圆黑-利特曼模型,动态捕捉多尺度时间特征与市场状态变化。
  • 在道琼斯30成分股十年数据上实现1.72的夏普比率和57.26%总收益,显著优于现有方法。
  • 适合关注极端风险、市场切换的量化投资者或研究复杂资产配置的学者。

基于深度强化学习的投资组合优化框架虽能从市场数据中动态学习配置策略,但未考虑实际市场中常见的厚尾收益分布,且对历史数据一视同仁,忽视时间重要性,导致在市场结构突变时表现不佳。本文提出BAVAR-BLED算法,将贝叶斯平均向量自回归(BAVAR)与基于椭圆分布的黑-利特曼模型(BLED)结合,嵌入TD3架构。BAVAR通过多尺度时间特征捕捉不同市场状态下的收益期望与协方差矩阵,作为BLED的先验输入;后者采用Student's t分布,更准确刻画厚尾收益。算法采用Transformer构建投资观点,卷积网络估计风险厌恶水平,动态调整配置。在覆盖道琼斯工业平均指数39只成分股、长达十年的测试周期中,BAVAR-BLED实现1.72的夏普比率、2.70的索提诺比率及57.26%的累计收益,显著优于当前最优方法。

原文摘要 · Abstract (English)

Deep reinforcement learning (DRL) frameworks for portfolio optimization have shown promise for their ability to learn allocation rules dynamically from market data. However, these models fail to account for fat-tailed returns, which characterize actual market behavior with more frequent extreme events. Furthermore, historical data is treated homogeneously, without accounting for temporal importance, leading models to fail during regime changes. We propose a new BAVAR-BLED algorithm that combines methods derived from Bayesian-Averaging Vector Autoregressive (BAVAR) and the Black-Litterman model using Elliptical Distributions (BLED) within a TD3 architecture. BAVAR captures a set of vector autoregressive representations that consider multi-scale temporal features, enabling adaptive allocation decisions based on regime-aware estimates of return expectations and dispersion matrices. These estimates serve as prior inputs to BLED, a model that uses Student's t-distributions, allowing for more realistic fat tail return estimates. The BAVAR-BLED algorithm uses transformer networks for view construction and CNNs for risk-aversion estimates, which modify dynamic allocation decisions based on market conditions. An evaluation of 29 Dow Jones Industrial Average constituents over a decade-long market period shows that BAVAR-BLED significantly outperforms state-of-the-art methods, achieving Sharpe and Sortino ratios of 1.72 and 2.70, respectively, and total returns of 57.26%.

投资组合优化厚尾分布市场突变强化学习

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