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arXiv 2102.02576cs.AIcs.LGcs.LO
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探索数据集的尺度度量

Exploring Scale-Measures of Data Sets

University of Kassel(卡塞尔大学)

Tom Hanika, Johannes Hirth

摘要:

测量是许多科学模型及其创建的基本组成部分。这对于数据驱动的科学来说尤其如此。由于现代数据集的高度复杂性和规模,有必要开发可理解和有效的缩放方法。规模数据的一个深刻的理论是规模措施,在形式概念分析领域的发展。最近的发展表明,一个给定的数据集的所有尺度措施的集合构成一个格,因此允许有效的探索算法。在这项工作中,我们研究的性质说,格,并提出了一种新的规模测量勘探算法,是众所周知的和证明属性勘探方法的基础上。我们的研究结果激励多个应用程序的规模推荐,最突出的(半)自动缩放。

英文摘要:

Measurement is a fundamental building block of numerous scientific models and their creation. This is in particular true for data driven science. Due to the high complexity and size of modern data sets, the necessity for the development of understandable and efficient scaling methods is at hand. A profound theory for scaling data is scale-measures, as developed in the field of formal concept analysis. Recent developments indicate that the set of all scale-measures for a given data set constitutes a lattice and does hence allow efficient exploring algorithms. In this work we study the properties of said lattice and propose a novel scale-measure exploration algorithm that is based on the well-known and proven attribute exploration approach. Our results motivate multiple applications in scale recommendation, most prominently (semi-)automatic scaling.

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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