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    • 15. 发明授权
    • Method and apparatus for functional relationship approximation through nonparametric regression using R-functions
    • 通过使用R函数的非参数回归函数关系近似的方法和装置
    • US07933850B1
    • 2011-04-26
    • US11598608
    • 2006-11-13
    • Aleksey M. UrmanovKenny C. GrossAnton A. Bougaev
    • Aleksey M. UrmanovKenny C. GrossAnton A. Bougaev
    • G06E1/00G06E3/00G06G7/00
    • G06F11/0751G06F11/0706G06F11/0748G06F17/18G06N99/005
    • One embodiment of the present invention provides a system that constructs a functional relationship approximation from a set of data points through nonparametric regression. During operation, the system receives a training data set in an n-dimensional space. Next, the system defines a set of regression primitives in the n-dimensional space, wherein a regression primitive in the set passes through N data points in the training data set, wherein N≧n. The system then logically combines the set of regression primitives to produce a convex envelope F, such that for each point p in the n-dimensional space: (1) F(p)=0, if p is on the convex envelope; (2) F(p) 0, if p is outside the convex envelope. The system next obtains the functional relationship approximation by computing an argument of the minimum of F in the n-dimensional space. The system subsequently uses the functional relationship approximation to classify data.
    • 本发明的一个实施例提供了一种通过非参数回归从一组数据点构建功能关系近似的系统。 在操作期间,系统在n维空间中接收训练数据集。 接下来,系统在n维空间中定义一组回归基元,其中集合中的回归原语通过训练数据集中的N个数据点,其中N≥n。 然后,系统逻辑地组合回归原语集合以产生凸包络F,使得对于n维空间中的每个点p:(1)F(p)= 0,如果p在凸包上; (2)F(p)<0,如果p在凸包内; 和(3)F(p)> 0,如果p在凸包外。 系统接下来通过计算n维空间中F的最小值的自变量来获得函数关系近似。 系统随后使用函数关系近似来对数据进行分类。