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Learning Real Polynomials with a Turing Machine

机译:用图灵机学习实多项式

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摘要

We provide an algorithm to PAC learn multivariate polynomials with real coefficients. The instance space from which labeled samples are drawn is IR~N but the coordinates of such samples are known only approximately. The algorithm is iterative and the main ingredient of its complexity, the number of iterations it performs, is estimated using hte condition number of a linear programming problem associated to the sample. To the best of our knowledge, this is the first study of PAC learning concepts parameterized by real numbers from approximate data.
机译:我们提供了一种算法,用于PAC学习具有实系数的多元多项式。从中提取标记样本的实例空间为IR_N,但此类样本的坐标仅是近似已知的。该算法是迭代的,其复杂性的主要成分(即执行的迭代次数)是使用与样本相关联的线性规划问题的条件数来估算的。据我们所知,这是对PAC学习概念的首次研究,该学习概念由来自近似数据的实数参数化。

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