用量子几何核方法预测慢阻肺患者肌肉状态,效果优于经典模型。
Geometric and Quantum Kernel Methods for Predicting Skeletal Muscle Outcomes in chronic obstructive pulmonary disease
- 构建量子-几何混合核模型,通过希尔伯特空间映射与压缩处理生物标志物数据
- 在肌肉重量预测上误差最低,比最优经典模型低约1.8%;肌肉质量预测也最优
- 适合小样本生物医学预测场景,尤其关注肌肉功能评估的研究者
慢性阻塞性肺疾病(COPD)影响全球数亿人,骨骼肌功能障碍具有临床意义。量子机器学习在生物医学预测中日益受到关注,但其在小样本生物标志物队列中的价值仍需与强经典基线对比验证。本研究分析了213只烟雾暴露的COPD动物模型,利用血液和支气管肺泡灌洗液生物标志物预测胫前肌重量、肌肉质量和肌力。提出一种基于核几何的量子混合方法:将合成对称正定(SPD)参考数据映射至再生核希尔伯特空间,通过仅训练集随机投影压缩并归一化,输入低维量子回归电路。与经典岭回归/核模型、SPD关系表示及量子核回归(QKR)进行对比,均采用条件分层重复交叉验证。肌肉重量预测中,该方法均方根误差(RMSE)最低,较最优经典模型降低约1.8%;经霍姆校正后,折叠级别配对检验未达统计显著性,但生物学意义明确。肌肉质量预测同样表现最佳。肌力预测中,仅用生物标志物的岭回归表现最优,表明其结构更线性。
原文摘要 · Abstract (English)
Chronic obstructive pulmonary disease (COPD) affects hundreds of millions of people worldwide, and skeletal-muscle dysfunction is clinically important. Quantum machine learning is increasingly explored for biomedical prediction, but its value in small biomarker cohorts requires benchmarking against strong classical baselines. We analysed a cigarette-smoke COPD cohort of 213 animals with blood and bronchoalveolar-lavage biomarkers to predict tibialis anterior muscle weight, muscle quality, and force. We developed a kernel-geometric quantum hybrid method in which synthetic symmetric positive definite (SPD) references are mapped through a reproducing kernel Hilbert space, compressed using train-only random projection, normalised, and supplied to low-dimensional quantum regression circuits. We benchmarked this approach against classical ridge/kernel models, SPD relational representations, and quantum-kernel regression (QKR). All methods were evaluated using condition-stratified repeated cross-validation. The largest numerical improvement was observed for muscle weight, where the proposed method had the numerically lowest mean root mean squared error (RMSE), approximately 1.8% below the best classical comparator; paired fold-level testing did not establish statistically significant superiority after Holm adjustment, but the endpoint is biologically meaningful. The method also had the numerically lowest mean RMSE for muscle quality. For force, biomarker-only Ridge performed best, suggesting a more linear endpoint structure.
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