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arXiv 2302.13233cs.DLcs.ITmath.IT
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非线性字段归一化方法的误用:论文级别的非线性字段归一化引用计数不能相加或平均

The misuse of the nonlinear field normalization method: Nonlinear field normalization citation counts at the paper level cannot be added or averaged

Xing Wang

摘要:

有一个非常重要的问题,在学术界还没有引起足够的重视,即,使用非线性字段归一化方法获得的论文级的非线性字段归一化引用计数不能相加或平均。不幸的是,在学术文献中可以找到许多将单个论文的非线性归一化引用计数相加或平均的情况,这表明非线性字段归一化方法在学术界长期被滥用。在本文中,我们进行了以下两个研究工作。首先,我们从数学理论分析的角度分析了为什么单个论文的非线性归一化引用计数不能相加或平均:我们为分析的关键步骤提供了数学证明。其次,系统地将现有的主要场归一化方法分为线性场归一化方法和非线性场归一化方法。以上两项研究工作为今后正确使用场归一化方法提供了理论依据,避免了非线性数据的继续误用。此外,由于我们的数学证明适用于整个实数域中的所有非线性数据,因此我们的研究工作对整个数据和信息科学领域也有意义。

英文摘要:

There is a very important problem that has not attracted sufficient attention in academia, i.e., nonlinear field normalization citation counts at the paper level obtained using nonlinear field normalization methods cannot be added or averaged. Unfortunately, there are many cases adding or averaging the nonlinear normalized citation counts of individual papers that can be found in the academic literature, indicating that nonlinear field normalization methods have long been misused in academia. In this paper, we performed the following two research works. First, we analyzed why the nonlinear normalized citation counts of individual papers cannot be added or averaged from the perspective of theoretical analysis in mathematics: we provide mathematical proofs for the crucial steps of the analysis. Second, we systematically classified the existing main field normalization methods into linear and nonlinear field normalization methods. The above two research works provide a theoretical basis for the proper use of field normalization methods in the future, avoiding the continued misuse of nonlinear data. Furthermore, because our mathematical proof is applicable to all nonlinear data in the entire real number domain, our research works are also meaningful for the whole field of data and information science.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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