多目标工程设计优化的贝叶斯偏好激发

John R. Lepird, Michael P. Owen, Mykel J. Kochenderfer
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引用次数: 18

摘要

许多工程优化问题都有多个目标。尽管存在识别设计空间的帕累托前沿的方法,但这些方法可能在计算上令人望而却步,并且仍然留给设计师选择在前沿构建哪种设计。因此,多目标优化通常涉及指定一个标量效用函数,然后根据该效用函数进行优化。偏好激发算法可以帮助设计者构建这个效用函数。在工程设计优化的偏好激发中,理想的算法将收敛到一个精确的效用函数,对设计者的偏好查询尽可能少。本文扩展了优选实现的先验方法,并通过推导限制较少的推理技术和应用基于熵的方法提出查询,使其比现有算法更快地收敛到真正的全局效用函数,从而使其适合于工程设计优化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bayesian Preference Elicitation for Multiobjective Engineering Design Optimization
Many engineering optimization problems have more than one objective. Although there are methods for identifying the Pareto front of a design space, these methods can be computationally prohibitive, and it is still left to the designer to choose which design on the front to build. Consequently, multiobjective optimization often involves specifying a scalar utility function and then optimizing with respect to this utility function. Preference elicitation algorithms can aid the designer in constructing this utility function. In preference elicitation for engineering design optimization, the ideal algorithm would converge to an accurate utility function with as few preference queries to the designer as possible. This paper extends a prior method for preference realization and tailors it for use in engineering design optimization by deriving a less restrictive inference technique and applying an entropy-based method for posing queries that converges faster to the true global utility function than existing algo...
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