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Coreset selection can accelerate quantum machine learning models with provable generalization

delete2024-07-29
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OA
AI
Y
Yiming Huang *
Y
Yuan Xiao
H
Huiyuan Wang
Y
Yuxuan Du
DOI:10.1103/PhysRevApplied.22.014074delete
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Abstract

Abstract

En 中文
Quantum neural networks (QNNs) and quantum kernels stand as prominent figures in the realm of quantum machine learning, poised to leverage the nascent capabilities of near-term quantum computers to surmount classical machine learning challenges. Nonetheless, the training-efficiency challenge poses a limitation on both QNNs and quantum kernels, curbing their efficacy when they are applied to extensive datasets. To confront this concern, we present a unified approach-coreset selection-aimed at expediting the training of QNNs and quantum kernels by distilling a judicious subset from the original training dataset. Furthermore, we analyze the generalization-error bounds of QNNs and quantum kernels when they are trained on such coresets, unveiling performance comparable with that of those trained on the complete original dataset. Through systematic numerical simulations, we illuminate the potential of coreset selection in expediting tasks encompassing synthetic data classification, identification of quantum correlations, and quantum compiling. Our work offers a useful way to improve diverse quantum machine learning models with a theoretical guarantee while reducing the training cost.

Journal

Physical Review Applied cover
Physical Review Applied
IF:
4.4
Papers:
7.1K
Citations:
2.8W

Organization

U
University of Cambridge
Scholars:
7.7W
Papers: 7.1W
Citations: 13.7W
P
peking university
Scholars:
11.6W
Papers: 8.6W
Citations: 146