机械制造与自动化
機械製造與自動化
궤계제조여자동화
JIANGSU MACHINE BUILDING & AUTOMATION
2015年
3期
100-103
,共4页
元建模%分割矩形%高维模型
元建模%分割矩形%高維模型
원건모%분할구형%고유모형
metamodeling%dividing rectangles%high-dimensional model
元建模常用于近似求解输入与输出间的映射关系。随着维度的增加，其计算成本将呈指数增长，使得常用的回归方法难以获得高精度的近似模型。提出一种基于改进分割矩形IDIRECT( improved dividing rectangles)采样的高维模型表示HDMR( high-dimensional model rep-resentation)方法，称为IDIRECT-HDMR。该方法将高维问题转化为一系列低维问题求和，从而用较少的样本点获得较高精度的近似模型。采用多维度的数值算例验证IDIRECT-HDMR的可行性并将其应用于工程实例。
元建模常用于近似求解輸入與輸齣間的映射關繫。隨著維度的增加，其計算成本將呈指數增長，使得常用的迴歸方法難以穫得高精度的近似模型。提齣一種基于改進分割矩形IDIRECT( improved dividing rectangles)採樣的高維模型錶示HDMR( high-dimensional model rep-resentation)方法，稱為IDIRECT-HDMR。該方法將高維問題轉化為一繫列低維問題求和，從而用較少的樣本點穫得較高精度的近似模型。採用多維度的數值算例驗證IDIRECT-HDMR的可行性併將其應用于工程實例。
원건모상용우근사구해수입여수출간적영사관계。수착유도적증가，기계산성본장정지수증장，사득상용적회귀방법난이획득고정도적근사모형。제출일충기우개진분할구형IDIRECT( improved dividing rectangles)채양적고유모형표시HDMR( high-dimensional model rep-resentation)방법，칭위IDIRECT-HDMR。해방법장고유문제전화위일계렬저유문제구화，종이용교소적양본점획득교고정도적근사모형。채용다유도적수치산례험증IDIRECT-HDMR적가행성병장기응용우공정실례。
Metamodeling is often used for approximate mapping between the input and output variables. Popular regression method-ologies are inapplicable to the accurate metamodels for high dimensional practical problems since the computational time increases exponential y as the number of dimensions rises. This paper proposes a new form of high-dimensional model representation ( HD-MR) by integrating an intel igent sampling strategy, namely, Improved Dividing Rectangles ( IDIRECT) , termed IDIRECT-HDMR. In this method, few sample points are used to obtain accurate metamodels by transforming a high dimensional problem into a series of low dimensional problems. Some mathematical test functions with a wide scope of dimensionalities are used to demonstrate the per-formance of IDIRECT-HDMR, and this method is applied to the practical application example.
