Algebraic Curve Fitting Support Vector Machines

机译：代数曲线拟合支持向量机

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An algebraic curve is defined as the zero set of a multivariate polynomial. We consider the problem of fitting an algebraic curve to a set of vectors given an additional set of vectors labelled as interior or exterior to the curve. The problem of fitting a linear curve in this way is shown to lend itself to a support vector representation, allowing non-linear curves and high dimensional surfaces to be estimated using kernel functions. The approach is attractive due to the stability of solutions obtained, the range of functional forms made possible (including polynomials), and the potential for applying well understood regularisation operators from the theory of Support Vector Machines.

机译：代数曲线定义为多元多项式的零集。我们考虑给定向量曲线的内部或外部的另外一组向量，将代数曲线拟合到向量集合的问题。示出了以这种方式拟合线性曲线的问题使其自身适合于支持向量表示，从而允许使用核函数来估计非线性曲线和高维表面。由于获得的解的稳定性，可能的函数形式范围（包括多项式）以及应用支持向量机理论中公认的正则化运算符的潜力，因此该方法具有吸引力。

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来源
《Biennial Australian Pattern Recognition Society Conference(DICTA2003) v.2; 2003; Sydney; AU》|2003年|P.693-702|共10页
会议地点 Sydney(AU);Sydney(AU);Sydney(AU)
作者
Christian J. Walder; Brian C. Lovell; Peter J. Kootsookos;
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Intelligent Real-Time Imaging and Sensing Group, School of Information Technology and Electrical Engineering, The University of Queensland, Brisbane, Queensland 4072, Australia;

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原文格式 PDF
正文语种 eng
中图分类信息处理（信息加工）;
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机译：代数曲线拟合支持向量机

Algebraic Curve Fitting Support Vector Machines

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