| 引用本文: | 朱雄峰,罗文彩,魏月兴.基于能量函数的插值代理模型推广能力评价准则.[J].国防科技大学学报,2011,33(5):30-35.[点击复制] |
| ZHU Xiongfeng,LUO Wencai,WEI Yuexing.Energy Function Based Evaluation Method of the Generalization Ability of Interpolated-based Surrogate Model[J].Journal of National University of Defense Technology,2011,33(5):30-35[点击复制] |
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| 基于能量函数的插值代理模型推广能力评价准则 |
| 朱雄峰, 罗文彩, 魏月兴 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 本文分析了插值型代理模型的特性，提出了影响插值代理模型的推广能力的重要因素是代理模型的振荡特性，分析表明：振荡剧烈的代理模型，其推广能力就弱。为了评价代理模型的推广能力，本文提出基于能量函数方法的评价方法。能量函数方法是通过计算代理模型的一阶和二阶导数，得出代理模型的振荡情况来进行评价。能量函数越高，代理模型的振荡越剧烈，因而其推广能力越差。测试函数表明，能量函数方法在评价代理模型推广能力上是有效的。 |
| 关键词: 代理模型 推广能力 能量函数 评价准则 |
| DOI： |
| 投稿日期：2011-03-28 |
| 基金项目:国家自然科学基金资助项目（50975280）；新世纪优秀人才支持计划资助项目（NCET-08-0149） |
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| Energy Function Based Evaluation Method of the Generalization Ability of Interpolated-based Surrogate Model |
| ZHU Xiongfeng, LUO Wencai, WEI Yuexing |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| The characteristics of interpolated-based surrogate model were analyzed. The oscillation characteristics of interpolated-based surrogate model, an important factor that affect the generalization capacity was put forward. Analysis shows that: when the oscillation of surrogate model is violent, its generalization ability is weak. An evaluation method based on energy function was put forward to evaluate the generalization ability of surrogate model. By calculating the surrogate model’s first and second derivatives, Energy Function Method (EFM) can obtain the oscillation characteristics of surrogate model. The higher the Energy Function, the more serious the oscillation of surrogate model. Thus its generalization ability is worse. Test functions were made, and the results show that the Energy Function Method is efficient in evaluating the generalization ability of the surrogate model. |
| Keywords: surrogate model generalization ability energy function evaluation method |
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