让投资组合优化直接学习最优选股,提升收益风险比。
Decision-focused Sparse Tangent Portfolio Optimization

- 用光滑的top-k操作替代离散选股,实现端到端可导
- 在4个主要股市中,夏普比率显著优于传统方法
- 适合关注实际投资表现而非单纯预测精度的从业者
稀疏切线组合优化旨在学习均值-方差前沿切线方向上的可解释、低持仓数投资组合。然而,其带基数约束的公式是NP难问题,标准的预测-再优化流程常导致预测准确率与下游组合表现不一致。本文提出一种端到端决策导向学习框架,将夏普比率最大化重构为符合纪律参数规划(DPP)的凸规划层,并用平滑的top-k算子精确控制持仓数k,实现预测、选股与重优化全程梯度流动。这使预测模型能直接优化组合绩效。在四个主要股票市场中,该方法在样本外夏普比率上表现优异,尤其在大规模资产池中优势明显。代码已开源。
原文摘要 · Abstract (English)
Sparse tangent portfolio optimization aims to learn an interpretable, low-cardinality portfolio in the tangency direction of the mean-variance frontier. However, the associated cardinality-constrained formulation is NP-hard, and standard predict-then-optimize pipelines often misalign forecasting accuracy with downstream portfolio quality. We propose an end-to-end decision-focused learning framework that reformulates Sharpe ratio maximization as a Disciplined Parametrized Programming (DPP)-compliant convex programming layer and replaces discrete selection with a smooth top-$k$ operator enforcing an exact cardinality $k$. This enables gradient flow through prediction, asset selection, and re-optimization, allowing the predictive model to directly optimize portfolio performance. Across four major equity markets, our method achieves competitive and often superior out-of-sample Sharpe ratios compared with historical and prediction-focused baselines, with particularly strong gains in larger asset universes. Our \href{https://github.com/feuerwerksh/Diffble-card-SR}{code} is publicly available.
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