arXiv:2603.02700quant-phcs.LG2026-03

用量子神经网络提升异常检测精度,兼顾效率与抗噪能力。

Neural quantum support vector data description for one-class classification

  • 结合经典神经网络与可训练量子编码,实现端到端特征学习。
  • 在多个基准数据集上AUC表现优于或媲美经典与量子基线方法。
  • 适合对高维复杂数据进行高效异常检测的研究者使用。

一分类分类(OCC)是机器学习中的基础问题,广泛应用于异常检测与质量控制。随着现代数据集的复杂性和维度不断增加,对表达能力强且高效的先进OCC技术的需求日益增长。本文提出神经量子支持向量数据描述(NQSVDD),一种用于一分类的经典-量子混合框架,能够进行端到端优化的分层表征学习。NQSVDD将可训练的量子数据编码与变分量子电路相结合,利用经典神经网络与量子计算协同学习非线性特征变换,以适应一分类目标。该混合架构将输入数据映射至中间高维特征空间,并通过量子测量投影至紧凑的潜在空间。关键在于,特征嵌入与潜在表示联合优化,使正常数据形成紧凑聚类,从而通过最小体积包围超球体构建有效决策边界。在基准数据集上的实验表明,NQSVDD在性能上达到或超越经典深度支持向量数据描述(Deep SVDD)和量子基线方法,同时保持参数效率并具备真实噪声条件下的鲁棒性。

原文摘要 · Abstract (English)

One-class classification (OCC) is a fundamental problem in machine learning with numerous applications, such as anomaly detection and quality control. With the increasing complexity and dimensionality of modern datasets, there is a growing demand for advanced OCC techniques with better expressivity and efficiency. We introduce Neural Quantum Support Vector Data Description (NQSVDD), a classical-quantum hybrid framework for OCC that performs end-to-end optimized hierarchical representation learning. NQSVDD integrates a classical neural network with trainable quantum data encoding and a variational quantum circuit, enabling the model to learn nonlinear feature transformations tailored to the OCC objective. The hybrid architecture maps input data into an intermediate high-dimensional feature space and subsequently projects it into a compact latent space defined through quantum measurements. Importantly, both the feature embedding and the latent representation are jointly optimized such that normal data form a compact cluster, for which a minimum-volume enclosing hypersphere provides an effective decision boundary. Experimental evaluations on benchmark datasets demonstrate that NQSVDD achieves competitive or superior AUC performance compared to classical Deep SVDD and quantum baselines, while maintaining parameter efficiency and robustness under realistic noise conditions.

一分类量子机器学习异常检测

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