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Stretchy multivariate polynomial classification

机译:弹性多元多项式分类

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摘要

A stretchy classification methodology adopting multivariate polynomials is proposed in this paper. Through minimization of an approximated p-norm of the parameter vector subject to classification error constraints, an approximated minimum norm solution in dual form is derived for under-determined systems. This is subsequently transformed into its primal form for over-determined systems. Practical feasibility of the proposed solution is illustrated by an evaluation on synthetic data as well as an application on benchmark real-world data.
机译:提出了一种采用多元多项式的弹性分类方法。通过最小化受分类误差约束的参数向量的近似p范数,可得到欠定系统的对偶形式的近似最小范数解。随后将其转换为用于超定系统的原始形式。通过对合成数据的评估以及对基准实际数据的应用,说明了所提出解决方案的实际可行性。

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