厦门大学学报（自然科学版）
廈門大學學報（自然科學版）
하문대학학보（자연과학판）
JOURNAL OF XIAMEN UNIVERSITY (NATURAL SCIENCE)
2009年
6期
804-807
,共4页
支持向量机%核选择%几何度量%几何性质
支持嚮量機%覈選擇%幾何度量%幾何性質
지지향량궤%핵선택%궤하도량%궤하성질
SVM%kernel function selection%geometric measure%geometric property
研究核函数的几何度量和几何性质,并给出核函数选择(核选择)的建议.首先通过对核函数所蕴含的几何度量的深入分析,导出了常用的高斯径向基核函数和多项式核函数的黎曼度量、距离度量和角度度量;然后总结了这些几何度量的性质,并进行了数学证明;最后在几何性质的基础上,给出了核选择的一些建议.
研究覈函數的幾何度量和幾何性質,併給齣覈函數選擇(覈選擇)的建議.首先通過對覈函數所蘊含的幾何度量的深入分析,導齣瞭常用的高斯徑嚮基覈函數和多項式覈函數的黎曼度量、距離度量和角度度量;然後總結瞭這些幾何度量的性質,併進行瞭數學證明;最後在幾何性質的基礎上,給齣瞭覈選擇的一些建議.
연구핵함수적궤하도량화궤하성질,병급출핵함수선택(핵선택)적건의.수선통과대핵함수소온함적궤하도량적심입분석,도출료상용적고사경향기핵함수화다항식핵함수적려만도량、거리도량화각도도량;연후총결료저사궤하도량적성질,병진행료수학증명;최후재궤하성질적기출상,급출료핵선택적일사건의.
The geometric measures and properties of the kernel functions were studied and some suggestions about the selection of kernel functions were presented.By deeply analyzing the geometric measures of the kernel functions,the Riemann measures,distance measures and angle measures of the commonly used Gaussian radial basis kernel function and polynomial kernel function were deduced at first.Then the properties of these geometric measures were summarized and the mathematical proofs were finished.Finally some suggestions about selection of kernel functions based on the geometric properties were given.
