区间不确定性下数据拟合问题的弱与强兼容性

IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
S. P. Shary
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引用次数: 5

摘要

对于区间不确定条件下的数据拟合问题,引入了数据与参数强相容的概念。结果表明,该问题的新强化形式简化为计算和估计由所处理的数据构成的区间方程组的所谓可容忍解集。我们提出了一种从区间数据构造“最佳拟合”线性函数的计算技术,考虑到强兼容性要求。新的数据拟合方法比以前的方法具有更好的特性:强兼容性估计具有多项式的计算复杂度,强兼容性估计的方差几乎总是有限的,并且这些估计具有鲁棒性。本文最后的一个例子说明了其中的一些特征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Weak and Strong Compatibility in Data Fitting Problems Under Interval Uncertainty
For the data fitting problem under interval uncertainty, we introduce the concept of strong compatibility between data and parameters. It is shown that the new strengthened formulation of the problem reduces to computing and estimating the so-called tolerable solution set for interval systems of equations constructed from the data being processed. We propose a computational technology for constructing a “best-fit” linear function from interval data, taking into account the strong compatibility requirement. The properties of the new data fitting approach are much better than those of its predecessors: strong compatibility estimates have polynomial computational complexity, the variance of the strong compatibility estimates is almost always finite, and these estimates are rubust. An example considered in the concluding part of the paper illustrates some of these features.
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来源期刊
Advances in Data Science and Adaptive Analysis
Advances in Data Science and Adaptive Analysis MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
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