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Method and apparatus for functional relationship approximation through nonparametric regression using R-functions
Method and apparatus for functional relationship approximation through nonparametric regression using R-functions
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机译:使用R函数通过非参数回归进行函数关系近似的方法和装置
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摘要
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 inside the convex envelope; and (3) 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.
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