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Bibliographic Details
Main Authors: Sahin, M. Emre, Symons, Benjamin C. B., Pati, Pushpak, Minhas, Fayyaz, Millar, Declan, Gabrani, Maria, Mensa, Stefano, Robertus, Jan Lukas
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.02879
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Table of Contents:
  • Quantum machine learning with quantum kernels for classification problems is a growing area of research. Recently, quantum kernel alignment techniques that parameterise the kernel have been developed, allowing the kernel to be trained and therefore aligned with a specific dataset. While quantum kernel alignment is a promising technique, it has been hampered by considerable training costs because the full kernel matrix must be constructed at every training iteration. Addressing this challenge, we introduce a novel method that seeks to balance efficiency and performance. We present a sub-sampling training approach that uses a subset of the kernel matrix at each training step, thereby reducing the overall computational cost of the training. In this work, we apply the sub-sampling method to synthetic datasets and a real-world breast cancer dataset and demonstrate considerable reductions in the number of circuits required to train the quantum kernel while maintaining classification accuracy.