國立高雄大學統計學研究所 98學年度書報討論題目暨摘要登記表 姓名:鄭榮憲 題目:Building Surrogate Models Based on Detailed and Approximate Simulations 作者:Zhiguang Qian, Carolyn Conner Seepersad, V. Roshan Joseph, Janet K. Allen, C.F. Jeff Wu 出處:Journal of Mechanical Design 128(4), 668-677, 2008 摘要: Preliminary design of a complex system often involves exploring a broad design space. This may require repeated use if computationally expensive simulations. To ease the computational burden, surrogate models are built to provide rapid approximations of more expensive models. However, the surrogate models themselves are often expensive to build because they are based on repeated experiments with computationally expensive simulations. An alternative approach is to replace the detailed simulations with simplified approximate simulations, thereby sacrificing accuracy for reduced computational time. Naturally, surrogate models which are built from these approximate simulations will also be imprecise. A strategy is needed for improving the precision of surrogate models based on approximate simulations without significantly increasing computational time. In this paper, a new approach is integrating data from approximate and detailed simulations to build a surrogate model that describes the relationship between output parameters and input parameters. Experimental results from approximate simulations form the bulk of the data, and they are used to build a model based on a Gaussian process. The fitted model is then ’adjusted’ by incorporating a small amount of data from detailed simulations to get a more accurate prediction model. The effectiveness of this approach is demonstrated with a design example involving cellular materials for an electronics cooling application. The emphasis is on the method and not on the results per se. 指導教授簽名: