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arXiv 2601.03375cs.LGquant-ph
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利用卷积神经网络增强小数据集分类的投影量子核

Enhancing Small Dataset Classification Using Projected Quantum Kernels with Convolutional Neural Networks

University of Moratuwa(莫勒图沃大学);University of Colombo(科伦坡大学)

A. M. A. S. D. Alagiyawanna, Asoka Karunananda, A. Mahasinghe, Thushari Silva

AI总结:

本研究通过投影量子核增强卷积神经网络,有效提升了小数据集分类的准确率,展示了量子计算在克服数据稀缺问题中的潜力。

摘要:

卷积神经网络(CNNs)在图像分类中展示了在效率和准确性上的良好表现。然而,它们的效果往往依赖于大量的标记数据集,这对数据有限的应用提出了挑战。我们的研究通过引入一种创新的方法来解决这些挑战,该方法利用投影量子核(PQK)来增强CNNs的特征提取,特别针对小数据集进行了优化。投影量子核源于量子计算原理,为捕捉复杂模式和复杂数据结构提供了有前景的途径,而传统CNNs可能会遗漏这些内容。通过将这些核融入特征提取过程中,我们提高了CNNs的表示能力。我们的实验表明,使用1000个训练样本时,PQK增强的CNN在MNIST数据集上达到95%的准确率,在CIFAR-10数据集上达到90%的准确率,显著优于传统CNN,后者在相应数据集上分别达到60%和12%的准确率。这项研究揭示了量子计算在克服机器学习中数据稀缺问题的潜力,并为未来探索量子辅助神经网络铺平了道路,表明投影量子核可以成为在数据受限环境中增强CNN分类的强大方法。

英文摘要:

Convolutional Neural Networks (CNNs) have shown promising results in efficiency and accuracy in image classification. However, their efficacy often relies on large, labeled datasets, posing challenges for applications with limited data availability. Our research addresses these challenges by introducing an innovative approach that leverages projected quantum kernels (PQK) to enhance feature extraction for CNNs, specifically tailored for small datasets. Projected quantum kernels, derived from quantum computing principles, offer a promising avenue for capturing complex patterns and intricate data structures that traditional CNNs might miss. By incorporating these kernels into the feature extraction process, we improved the representational ability of CNNs. Our experiments demonstrated that, with 1000 training samples, the PQK-enhanced CNN achieved 95% accuracy on the MNIST dataset and 90% on the CIFAR-10 dataset, significantly outperforming the classical CNN, which achieved only 60% and 12% accuracy on the respective datasets. This research reveals the potential of quantum computing in overcoming data scarcity issues in machine learning and paves the way for future exploration of quantum-assisted neural networks, suggesting that projected quantum kernels can serve as a powerful approach for enhancing CNN-based classification in data-constrained environments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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