arXiv:2606.14194cs.CVcs.LG2026-06

用量子核与自编码器结合,提升阿尔茨海默病影像分类准确率。

Hybrid Classical-Quantum (HCQ) Alzheimer's Classification via Supervised $β$-VAE and Quantum Kernels

论文配图:Hybrid Classical-Quantum (HCQ) Alzheimer's Classification via Supervised $β$-VAE and Quantum Kernels
图 1 · 摘自论文原文
  • 先用监督式3D VAE压缩MRI为64维特征,再选关键6维转为量子态
  • 量子核在308人数据上达72.1%准确率,比基线提升4.9个百分点
  • 适合对医学影像分类中高维特征建模有需求的研究者

本文提出一种两阶段混合经典-量子(HCQ)流程,用于从3D T1加权结构MRI图像中二分类阿尔茨海默病(AD)。首先,通过端到端训练的3D β-变分自编码器(VAE),将原始尺寸152×184×152的MRI重采样至96×96×96,并压缩为64维潜在码。随后,利用偏最小二乘法(PLS)选出最能区分AD与认知正常(CN)的6个潜在成分,将其转化为旋转角并编码至六量子比特寄存器,使用ZZ量子特征映射生成量子态。预计算核支持向量机(SVM)以308个样本的N×N核矩阵(重叠计算所有量子态对)作为输入。该方法创新在于量子核直接作用于由监督自编码器学习的疾病感知特征,而非预提取输入。在包含137例AD和171例CN的ADNI-1数据集上,基线模型达67.2%准确率与0.759 AUC;增强稳定性版本达72.1%准确率与0.799 AUC,交叉验证方差减半。3D Grad-CAM验证模型关注区域与阿尔茨海默病相关脑区一致。该框架可推广至其他生物医学影像分类任务。

原文摘要 · Abstract (English)

This paper presents a two-stage Hybrid Classical-Quantum (HCQ) pipeline for binary Alzheimer's disease (AD) classification from 3D T1-weighted structural MRI volumes, where the classical and quantum components are designed to complement each other rather than operate independently. A supervised 3D $β$-variational autoencoder (VAE) is trained end-to-end under voxel-wise reconstruction, KL-divergence, and focal classification losses that compress each 3D MRI volume (resized from 152 x 184 x 152 to 96 x 96 x 96) into a 64-dimensional latent code. Partial Least Squares (PLS) regression selects the six components in the latent code that best separate Alzheimer's Disease (AD) from cognitively normal (CN) subjects and rescales them into rotation angles, which are encoded onto a six-qubit register using the ZZ quantum feature map to give us the respective quantum states. The input to a precomputed-kernel Support Vector Machine (SVM) is an N x N Gram matrix (N = 308), created by calculating the overlap between every pair of quantum states. The novelty of this work lies in the fact that the quantum kernel operates directly on disease-aware features that are learned end-to-end by a supervised autoencoder, rather than on pre-extracted inputs. On 308 ADNI-1 subjects, consisting of 137 AD and 171 CN subjects, the baseline achieved 67.2% accuracy and 0.759 AUC, while the stability-enhanced variant reached 72.1% accuracy and 0.799 AUC with cross-fold variance halved. 3D Grad-CAM further helped validate our model's focus on brain regions linked to Alzheimer's. The HCQ pipeline could serve as a general-purpose framework for diagnostic classification across biomedical imaging domains that present similar challenges for classical approaches.

阿尔茨海默病量子机器学习医学影像自编码器

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