KMS Of Academy of mathematics and systems sciences, CAS
QUANTUM SPEEDUP OF TRAINING RADIAL BASIS FUNCTION NETWORKS | |
Shao, Changpeng | |
2019-06-01 | |
Source Publication | QUANTUM INFORMATION & COMPUTATION |
ISSN | 1533-7146 |
Volume | 19Issue:7-8Pages:609-625 |
Abstract | Radial basis function (RBF) network is a simple but useful neural network model that contains wide applications in machine learning. The training of an RBF network reduces to solve a linear system, which is time consuming classically. Based on HHL algorithm, we propose two quantum algorithms to train RBF networks. To apply the HHL algorithm, we choose using the Hamiltonian simulation algorithm proposed in [P. Rebentrost, A. Steffens, I. Marvian and S. Lloyd, Phys. Rev. A 97, 012327, 2018]. However, to use this result, an oracle to query the entries of the matrix of the network should be constructed. We apply the amplitude estimation technique to build this oracle. The final results indicate that if the centers of the RBF network are the training samples, then the quantum computer achieves exponential speedup at the number and the dimension of training samples over the classical computer; if the centers are determined by the K-means algorithm, then the quantum computer achieves quadratic speedup at the number of samples and exponential speedup at the dimension of samples. |
Keyword | quantum algorithm quantum machine learning radial basis function network |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[11671388] ; CAS Project[QYZDJ-SSW-SYS022] |
WOS Research Area | Computer Science ; Physics |
WOS Subject | Computer Science, Theory & Methods ; Quantum Science & Technology ; Physics, Particles & Fields ; Physics, Mathematical |
WOS ID | WOS:000471830800006 |
Publisher | RINTON PRESS, INC |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35021 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Shao, Changpeng |
Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
Recommended Citation GB/T 7714 | Shao, Changpeng. QUANTUM SPEEDUP OF TRAINING RADIAL BASIS FUNCTION NETWORKS[J]. QUANTUM INFORMATION & COMPUTATION,2019,19(7-8):609-625. |
APA | Shao, Changpeng.(2019).QUANTUM SPEEDUP OF TRAINING RADIAL BASIS FUNCTION NETWORKS.QUANTUM INFORMATION & COMPUTATION,19(7-8),609-625. |
MLA | Shao, Changpeng."QUANTUM SPEEDUP OF TRAINING RADIAL BASIS FUNCTION NETWORKS".QUANTUM INFORMATION & COMPUTATION 19.7-8(2019):609-625. |
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