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Status已发表Published
TitleConstruction of symmetric orthogonal designs with deep Q-network and orthogonal complementary design
Creator
Date Issued2022-07-01
Source PublicationComputational Statistics and Data Analysis
ISSN0167-9473
Volume171
Abstract

Construction of orthogonal designs (ODs) has received much attention over the past decades, where previous work was originated from either mathematical theory or algorithmic search. A new algorithm is proposed to construct symmetric ODs. It is established on a well-designed framework of sequential construction, combining the deep Q-network (DQN) and orthogonal complementary design (OCD). The DQN-OCD algorithm shows its superiority by constructing various non-isomorphic ODs in an efficient manner. In particular, the constructions of symmetric ODs, including the saturated ODs L(3), L(2) and non-saturated ODs L(3), L(3) are presented, where the performance of DQN-OCD algorithm surpasses the others. Furthermore, a series of previously unknown ODs in non-isomorphic subclasses of L(2) and L(3) are constructed as new collections of ODs.

KeywordDeep Q-network Design isomorphism Orthogonal complementary design Orthogonal design Sequential construction
DOI10.1016/j.csda.2022.107448
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Interdisciplinary Applications ; Statistics & Probability
WOS IDWOS:000820753700001
Scopus ID2-s2.0-85124989223
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/8904
CollectionFaculty of Science and Technology
Corresponding AuthorFang, Kaitai
Affiliation
1.Hong Kong Baptist University,Hong Kong
2.BNU-HKBU United International College,Zhuhai,China
3.The Key Lab of Random Complex Structures and Data Analysis,The Chinese Academy of Sciences,Beijing,China
Corresponding Author AffilicationBeijing Normal-Hong Kong Baptist University
Recommended Citation
GB/T 7714
Lai, Jianfa,Weng, Linchen,Peng, Xiaolinget al. Construction of symmetric orthogonal designs with deep Q-network and orthogonal complementary design[J]. Computational Statistics and Data Analysis, 2022, 171.
APA Lai, Jianfa, Weng, Linchen, Peng, Xiaoling, & Fang, Kaitai. (2022). Construction of symmetric orthogonal designs with deep Q-network and orthogonal complementary design. Computational Statistics and Data Analysis, 171.
MLA Lai, Jianfa,et al."Construction of symmetric orthogonal designs with deep Q-network and orthogonal complementary design". Computational Statistics and Data Analysis 171(2022).
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