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Construction of symmetric orthogonal designs with deep Q-network and orthogonal complementary design

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  • Lai, Jianfa
  • Weng, Lin-Chen
  • Peng, Xiaoling
  • Fang, Kai-Tai

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 L27(313), L28(227) and non-saturated ODs L18(37), L36(313) are presented, where the performance of DQN-OCD algorithm surpasses the others. Furthermore, a series of previously unknown ODs in non-isomorphic subclasses of L28(227) and L36(313) are constructed as new collections of ODs.

Suggested Citation

  • Lai, Jianfa & Weng, Lin-Chen & Peng, Xiaoling & Fang, Kai-Tai, 2022. "Construction of symmetric orthogonal designs with deep Q-network and orthogonal complementary design," Computational Statistics & Data Analysis, Elsevier, vol. 171(C).
    • Handle: RePEc:eee:csdana:v:171:y:2022:i:c:s0167947322000287
    DOI: 10.1016/j.csda.2022.107448
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    References listed on IDEAS

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