ISSN 1000-1239 CN 11-1777/TP

• 人工智能 •

### 求解大尺度优化问题的学生t-分布估计算法

1. 1(武汉大学计算机学院 武汉 430072);2(南阳理工学院软件学院 河南南阳 473000);3(岩土力学与工程国家重点实验室(中国科学院武汉岩土力学研究所) 武汉 430071) (wangyufeng@whu.edu.cn)
• 出版日期: 2017-08-01
• 基金资助:
国家自然科学基金项目(61170305，61672024，41472288)；河南省高等学校重点科研项目计划(17A520046)

### Adaptive Estimation of Student’s t-Distribution Algorithm for Large-Scale Global Optimization

Wang Yufeng1,2, Dong Wenyong1, Dong Xueshi1, Wang Hao3

1. 1(Computer School, Wuhan University, Wuhan 430072);2(Software School, Nanyang Institute of Technology, Nanyang, Henan 473000);3(State Key Laboratory of Geomechanics and Geotechnical Engineering (Institute of Rock and Soil Mechanics, Chinese Academy of Sciences), Wuhan 430071)
• Online: 2017-08-01

Abstract: In this paper, an adaptive estimation of student’s t-distribution algorithm (EDA-t) is proposed to deal with the large-scale global optimization problems. The proposed algorithm can not only obtain optimal solution with high precision, but also run faster than EDA and their variants. In order to reduce the number of the parameters in student’s t-distribution, we adapt its closed-form in latent space to replace it, and use the expectation maximization algorithm to estimate its parameters. To escape from local optimum, a new strategy adaptively tune the degree of freedom in the t-distribution is also proposed. As we introduce the technology of latent variable, the computational cost in EDA-t significantly decreases while the quality of solution can be guaranteed. The experimental results show that the performance of EDA-t is super than or equal to the state-of-the-art evolutionary algorithms for solving the large scale optimization problems.