应用力学学报
應用力學學報
응용역학학보
CHINESE JOURNAL OF APPLIED MECHANICS
2010年
1期
190-195
,共6页
响应面法%高斯过程%贝叶斯统计%不确定性分析
響應麵法%高斯過程%貝葉斯統計%不確定性分析
향응면법%고사과정%패협사통계%불학정성분석
response surface method%gaussian process%bayesian statistics%uncertainty analysis
新型的高斯过程响应面法具有灵活性好、精度高和能量化不确定性等优点,但某些关键技术细节还存在争议.本文简要介绍了高斯过程响应面法的基本理论,结合算例详细讨论了关键技术细节的处理方法;提出了先验期望函数选用低阶多项式、相关函数选用高斯形式、粗糙度参数用边缘后验众数法固定、模型有效性必须经过验算点检验等应用建议.
新型的高斯過程響應麵法具有靈活性好、精度高和能量化不確定性等優點,但某些關鍵技術細節還存在爭議.本文簡要介紹瞭高斯過程響應麵法的基本理論,結閤算例詳細討論瞭關鍵技術細節的處理方法;提齣瞭先驗期望函數選用低階多項式、相關函數選用高斯形式、粗糙度參數用邊緣後驗衆數法固定、模型有效性必鬚經過驗算點檢驗等應用建議.
신형적고사과정향응면법구유령활성호、정도고화능양화불학정성등우점,단모사관건기술세절환존재쟁의.본문간요개소료고사과정향응면법적기본이론,결합산례상세토론료관건기술세절적처리방법;제출료선험기망함수선용저계다항식、상관함수선용고사형식、조조도삼수용변연후험음수법고정、모형유효성필수경과험산점검험등응용건의.
Compared to the traditional response surface method (RSM),Gaussian process RSM has some remarkable advantages such as more flexibility,higher precision and quantifiable uncertainty.However,how to deal with some important technical details has been puzzling users.In this paper,the basic theory of the new method is introduced,and these technical details are discussed thoroughly and illustrated with an artificial example.Then,some suggestions such as selecting a low order polynomial as the prior expectation function,employing the Gaussian covariance function,fixing the roughness parameters at their marginal posterior mode values,and assessing the model validity using validation data,are given for engineering applications.