Clustering using matrix product states

doi:10.1103/PhysRevA.105.052424

CSpace > 数学所

	Clustering using matrix product states
	Shi, Xiao 1,2; Shang, Yun1,3 ; Guo, Chu 1,4,5,6
	2022-05-18
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	105 期号:5 页码:8
摘要	The matrix product state has been demonstrated to be able to explore the most relevant portion of the exponentially large quantum Hilbert space and find accurate solutions for one-dimensional interacting quantum many-body systems. Inspired by this success, here we propose a clustering algorithm based on the matrix product state, which first maps the classical data into quantum states represented as matrix product states, and then minimizes the loss function using a variational matrix product states algorithm in the enlarged space. We demonstrate this algorithm by applying it to several commonly used machine learning data sets, showing that this algorithm could reach higher learning precision and that it is less likely to be trapped in local minima compared to the standard K-means algorithm. We also show that this algorithm can achieve state-of-the-art learning precision on popular computer vision data sets when used in combination with better initialization schemes.
DOI	10.1103/PhysRevA.105.052424
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11805279] ; National Natural Science Foundation of China[61833010] ; National Natural Science Foundation of China[12074117] ; National Natural Science Foundation of China[12061131011] ; Program for Creative Research Group of the National Natural Science Foundation of China[61621003]
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000804520400004
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61497
专题	数学所
通讯作者	Shang, Yun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, MDIS, Beijing 100190, Peoples R China 4.Henan Key Lab Quantum Informat & Cryptog, Zhengzhou 450000, Henan, Peoples R China 5.Hunan Normal Univ, Key Lab Low Dimens Quantum Struct & Quantum Contr, Minist Educ, Dept Phys, Changsha 410081, Peoples R China 6.Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Peoples R China
推荐引用方式 GB/T 7714	Shi, Xiao,Shang, Yun,Guo, Chu. Clustering using matrix product states[J]. PHYSICAL REVIEW A,2022,105(5):8.
APA	Shi, Xiao,Shang, Yun,&Guo, Chu.(2022).Clustering using matrix product states.PHYSICAL REVIEW A,105(5),8.
MLA	Shi, Xiao,et al."Clustering using matrix product states".PHYSICAL REVIEW A 105.5(2022):8.