用因果模型动态识别市场状态,提升投资组合风险收益表现。
Explainable Regime Aware Investing
- 基于2-Wasserstein距离的隐马尔可夫模型,动态追踪市场状态并保持解释性。
- 夏普比率2.18,最大回撤仅-5.43%,优于标普500的1.18和-14.62%。
- 适合关注风控、追求稳定回报的量化投资者与资产配置研究者。
我们提出一种可解释的、基于严格因果 Wasserstein 隐马尔可夫模型的资产配置框架。该模型结合滚动高斯 HMM 推断、预测模型阶数选择及基于高斯分量间 2-Wasserstein 距离的模板化身份追踪,实现市场状态复杂度的动态适应,同时保持稳定的经济可解释性。状态概率被嵌入考虑交易成本的均值-方差优化框架,在多元日度跨资产数据上进行评估。相较于等权与标普500买入持有基准,Wasserstein HMM 策略获得显著更高的风险调整后收益,夏普比率分别为 2.18、1.59 和 1.18,最大回撤为 -5.43%(对比 SPX 的 -14.62%)。在2025年初被称为‘解放日’的股市抛售中,策略自动降低权益暴露并转向防御性资产,有效控制了峰值到谷底的损失。相比使用相同特征与优化层的非参数 KNN 条件矩估计器,该参数化状态模型表现出更低的换手率与更平稳的权重演化。结果表明,状态推断的稳定性,特别是身份保真与自适应复杂度控制,是决定每日资产配置回撤与实施鲁棒性的首要因素。
原文摘要 · Abstract (English)
We propose an explainable regime-aware portfolio construction framework based on a strictly causal Wasserstein Hidden Markov Model. The model combines rolling Gaussian HMM inference with predictive model-order selection and template-based identity tracking using the 2-Wasserstein distance between Gaussian components. This allows regime complexity to adapt dynamically while preserving stable economic interpretation. Regime probabilities are embedded into a transaction-cost-aware mean-variance optimization framework and evaluated on a diversified daily cross-asset universe. Relative to equal-weight and SPX buy-and-hold benchmarks, the Wasserstein HMM achieves materially higher risk-adjusted performance with Sharpe ratios of 2.18 versus 1.59 and 1.18 and substantially lower maximum drawdown of negative 5.43 percent versus negative 14.62 percent for SPX. During the early 2025 equity selloff labeled Liberation Day, the strategy dynamically reduced equity exposure and shifted toward defensive assets, mitigating peak-to-trough losses. Compared to a nonparametric KNN conditional-moment estimator using the same features and optimization layer, the parametric regime model produces materially lower turnover and smoother weight evolution. The results demonstrate that regime inference stability, particularly identity preservation and adaptive complexity control, is a first-order determinant of portfolio drawdown and implementation robustness in daily asset allocation.
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