| 引用本文: | 赵录峰,吕震宙,张磊刚,等.多输出模型确认中的混合矩指标.[J].国防科技大学学报,2015,37(6):61-68.[点击复制] |
| ZHAO Lufeng,LYU Zhenzhou,ZHANG Leigang,et al.Mixed moment validation metric for models with multivariate output[J].Journal of National University of Defense Technology,2015,37(6):61-68[点击复制] |
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| 多输出模型确认中的混合矩指标 |
| 赵录峰1, 吕震宙1, 张磊刚2, 王新维3 |
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(1.西北工业大学 航空学院， 陕西 西安 710072;2.中国运载火箭技术研究院， 北京 100076;3.中国人民解放军93363部队, 辽宁 沈阳 110141)
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| 摘要: |
| 在不确定性条件下，同时考虑到多维输出之间的相关关系和单输出的均值，构建由多输出数学期望列阵和协方差矩阵组成的多输出模型确认局部混合矩指标和全局混合矩指标。其中局部混合矩指标包括绝对指标（LA-3M）和相对指标（LR-3M），它们适合单点位置的多输出局部模型确认；全局混合矩指标也包括绝对指标（GA-3M）和相对指标（GR-3M），它们适合多点位置的多输出全局模型确认。通过数字算例和工程算例，所提指标可行有效，能够方便地度量计算模型和物理实验之间的差异程度。 |
| 关键词: 模型确认 混合矩 多输出模型 相关性 不确定性 |
| DOI：10.11887/j.cn.201506013 |
| 投稿日期：2015-01-09 |
| 基金项目:国家自然科学基金资助项目（51475370）；高等学校博士学科点专项科研基金资助项目（20116102110003） |
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| Mixed moment validation metric for models with multivariate output |
| ZHAO Lufeng1, LYU Zhenzhou1, ZHANG Leigang2, WANG Xinwei3 |
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(1.School of Aeronautics, Northwestern Polytechnical University, Xi′an 710072, China;2. China Academy of Launch Vehicle Technology, Beijing 100076, China;3. The PLA Unit 93363, Shenyang 110141, China)
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| Abstract: |
| Considering the relations among multi-outputs and the mean of single output, the mathematical expectation of single dimensional variable and covariance metric of multi-dimensional variables were introduced into the validation metrics for models. The new metrics of LA-3M and LR-3M were proposed for validating multi-responses at a single validation site, while the metrics of GA-3M and GR 3M were proposed to collect data of multiple responses observed at multiple validation sites. These metrics were examined through a numerical test case and an engineering example to illustrate their feasibility and effectiveness. Results show that the proposed metrics are efficient and they can easily measure the differential degree of multiple responses between calculation model and physical experiment. |
| Keywords: model validation mixed moment models with multivariate output correlation uncertainty |
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