arXiv:2511.05730cs.LGeess.SP2025-11

用量子启发的旋转机制提升心音信号分类精度,不增加参数量却更稳健。

QiVC-Net: Quantum-Inspired Variational Convolutional Network, with Application to Biosignal Classification

  • 通过量子启发的权重旋转实现结构化不确定性建模,保持参数空间几何特性。
  • 在两个心音数据集上分别达97.84%和97.89%准确率,超越现有方法。
  • 无需额外参数,适合对鲁棒性要求高的生物信号分析场景。

本文提出一种融合概率推断、变分优化与量子变换启发的几何保持操作的学习框架。核心创新为量子启发的旋转集成(QiRE)机制,该机制对卷积核权重进行可微的低维子空间旋转。基于酉演化数学类比,该方法实现了尊重参数空间内在几何特性的结构化不确定性建模。为验证其实际潜力,构建了基于QiVC的卷积网络(QiVC-Net),应用于心音图(PCG)信号分类任务。所提网络中,QiVC层不引入额外参数,而是通过结构化机制对卷积核权重执行集成旋转,确保鲁棒性且无显著计算负担。在两个基准数据集PhysioNet CinC 2016和PhysioNet CirCor DigiScope 2022上的实验表明,QiVC-Net分别达到97.84%和97.89%的准确率,表现优于现有方法。结果凸显了该框架在真实生物医学信号分析中不确定性感知建模方面的潜力。代码已在GitHub公开。

原文摘要 · Abstract (English)

In this paper, a learning framework is introduced which incorporates principles of probabilistic inference, variational optimization, and geometry-preserving operations inspired by quantum transformations. The central innovation of this quantum-inspired variational convolution (QiVC) lies in its quantum-inspired rotated ensemble (QiRE) mechanism. QiRE performs differentiable low-dimensional subspace rotations of convolutional weights. By drawing a mathematical analogy from unitary evolution, this approach enables structured uncertainty modeling that respects the intrinsic geometry of the parameter space. To demonstrate its practical potential, the concept is instantiated in a QiVC-based convolutional network (QiVC-Net) and evaluated in the context of biosignal classification, focusing on phonocardiogram (PCG) recordings. The proposed QiVC-Net integrates an architecture in which the QiVC layer does not introduce additional parameters, instead performing an ensemble rotation of the convolutional weights through a structured mechanism ensuring robustness without added highly computational burden. Experiments on two benchmark datasets, PhysioNet CinC 2016 and PhysioNet CirCor DigiScope 2022, show that QiVC-Net achieves state-of-the-art performance, reaching accuracies of 97.84% and 97.89%, respectively. These findings highlight the versatility of the QiVC framework and its promise for advancing uncertainty-aware modeling in real-world biomedical signal analysis. The implementation of the QiVConv layer is available in GitHub for public use.

生物信号量子启发分类模型

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