arXiv:2501.15828q-fin.CPcs.LG2025-01被引 7

量子神经网络结合幅度编码,提升债券回收率预测精度。

Hybrid Quantum Neural Networks with Amplitude Encoding: Advancing Recovery Rate Predictions

  • 用量子电路幅度编码压缩高维数据,缓解过拟合问题。
  • 在1725条数据上实现0.228的低均方根误差,优于经典与角度编码模型。
  • 适合关注金融风控与量子机器学习融合的研究者。

回收率预测对债券投资策略至关重要,可提升风险评估、优化资产配置、提高定价准确性并支持信用风险管理。然而,由于非线性依赖复杂、特征维度高且样本量有限,传统机器学习模型易过拟合。本文提出一种基于幅度编码的混合量子机器学习(QML)模型,利用参数化量子电路(PQC)的幺正性约束和量子比特的指数级数据压缩能力。在涵盖1996至2023年共1,725个观测值、256个特征的全球回收率数据集上测试,该方法显著优于经典神经网络和角度编码的量子模型,分别达到0.228、0.246和0.242的均方根误差(RMSE)。其表现也媲美XGBoost等集成树方法。尽管当前受限于噪声中等规模量子(NISQ)硬件,量子模拟与噪声模拟器的初步结果表明,混合量子-经典架构在提升回收率预测准确性和鲁棒性方面具有潜力,展示了量子机器学习在信用风险预测中的未来前景。

原文摘要 · Abstract (English)

Recovery rate prediction plays a pivotal role in bond investment strategies by enhancing risk assessment, optimizing portfolio allocation, improving pricing accuracy, and supporting effective credit risk management. However, accurate forecasting remains challenging due to complex nonlinear dependencies, high-dimensional feature spaces, and limited sample sizes-conditions under which classical machine learning models are prone to overfitting. We propose a hybrid Quantum Machine Learning (QML) model with Amplitude Encoding, leveraging the unitarity constraint of Parametrized Quantum Circuits (PQC) and the exponential data compression capability of qubits. We evaluate the model on a global recovery rate dataset comprising 1,725 observations and 256 features from 1996 to 2023. Our hybrid method significantly outperforms both classical neural networks and QML models using Angle Encoding, achieving a lower Root Mean Squared Error (RMSE) of 0.228, compared to 0.246 and 0.242, respectively. It also performs competitively with ensemble tree methods such as XGBoost. While practical implementation challenges remain for Noisy Intermediate-Scale Quantum (NISQ) hardware, our quantum simulation and preliminary results on noisy simulators demonstrate the promise of hybrid quantum-classical architectures in enhancing the accuracy and robustness of recovery rate forecasting. These findings illustrate the potential of quantum machine learning in shaping the future of credit risk prediction.

量子机器学习信用风险回收率预测

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