量子机器学习在特定金融任务中优于传统模型,但优势依赖数据与电路设计匹配。
Quantum vs. Classical Machine Learning: A Benchmark Study for Financial Prediction
- 构建标准化框架,对比量子与经典模型在三种金融任务中的表现。
- 量子神经网络在股票方向预测上提升3.8 AUC和3.4准确率点。
- 量子LSTM在部分市场环境下实现更高风险调整收益,适合量化交易研究者。
本文提出一个可复现的基准测试框架,系统比较量子机器学习(QML)模型与对应经典模型在三个金融任务上的表现:(i) 美国与土耳其股票的方向性收益率预测;(ii) S&P 500 上使用量子LSTM与经典LSTM进行实时交易模拟;(iii) 使用量子支持向量回归进行实际波动率预测。通过统一数据划分、特征与评估指标,研究揭示了当前量子模型在数据结构与电路设计匹配时具备性能优势。在方向分类任务中,混合量子神经网络在苹果公司(AAPL)上较参数匹配的全连接神经网络提升+3.8 AUC和+3.4准确率点,在土耳其股票KCHOL上提升+4.9 AUC和+3.6准确率点。在实时交易中,量子LSTM在四个S&P 500市场状态中的两个实现更高风险调整收益。在波动率预测中,角度编码的量子支持向量回归(QSVR)在KCHOL上取得最低QLIKE值,并在S&P 500和AAPL上维持在~0.02–0.04 QLIKE的差距内,接近最优经典核函数。该框架明确识别出当前量子架构能带来实质性改进的场景及经典方法仍占优的情况。
原文摘要 · Abstract (English)
In this paper, we present a reproducible benchmarking framework that systematically compares QML models with architecture-matched classical counterparts across three financial tasks: (i) directional return prediction on U.S. and Turkish equities, (ii) live-trading simulation with Quantum LSTMs versus classical LSTMs on the S\&P 500, and (iii) realized volatility forecasting using Quantum Support Vector Regression. By standardizing data splits, features, and evaluation metrics, our study provides a fair assessment of when current-generation QML models can match or exceed classical methods. Our results reveal that quantum approaches show performance gains when data structure and circuit design are well aligned. In directional classification, hybrid quantum neural networks surpass the parameter-matched ANN by \textbf{+3.8 AUC} and \textbf{+3.4 accuracy points} on \texttt{AAPL} stock and by \textbf{+4.9 AUC} and \textbf{+3.6 accuracy points} on Turkish stock \texttt{KCHOL}. In live trading, the QLSTM achieves higher risk-adjusted returns in \textbf{two of four} S\&P~500 regimes. For volatility forecasting, an angle-encoded QSVR attains the \textbf{lowest QLIKE} on \texttt{KCHOL} and remains within $\sim$0.02-0.04 QLIKE of the best classical kernels on \texttt{S\&P~500} and \texttt{AAPL}. Our benchmarking framework clearly identifies the scenarios where current QML architectures offer tangible improvements and where established classical methods continue to dominate.
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