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arXiv 2501.09591cs.LG
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数据集间相似性度量及其在合成数据与特征选择评估中的应用示例——扩展版

Metrics for Inter-Dataset Similarity with Example Applications in Synthetic Data and Feature Selection Evaluation -- Extended Version

University of Southern Denmark(南方丹麦大学)

Muhammad Rajabinasab, Anton D. Lautrup, Arthur Zimek

AI总结:

本文针对现有数据集间相似性度量计算昂贵、参数敏感且缺乏整体视角的问题,提出两种新度量指标,并在合成数据与特征选择评估中验证其有效性。

摘要:

度量数据集间相似性是机器学习和数据挖掘中的一项重要任务,具有多种用例和应用场景。现有的数据集间相似性度量方法计算代价高、能力有限,或对不同实体和非平凡的参数选择敏感,并且缺乏对整个数据集的整体视角。在本文中,我们提出了两种新的数据集间相似性度量指标。我们讨论了所提度量指标的数学基础和理论依据。通过研究合成数据评估和特征选择方法评估中的两个应用,我们证明了所提指标的有效性。本文进行的理论和实证研究说明了所提指标的有效性。

英文摘要:

Measuring inter-dataset similarity is an important task in machine learning and data mining with various use cases and applications. Existing methods for measuring inter-dataset similarity are computationally expensive, limited, or sensitive to different entities and non-trivial choices for parameters. They also lack a holistic perspective on the entire dataset. In this paper, we propose two novel metrics for measuring inter-dataset similarity. We discuss the mathematical foundation and the theoretical basis of our proposed metrics. We demonstrate the effectiveness of the proposed metrics by investigating two applications in the evaluation of synthetic data and in the evaluation of feature selection methods. The theoretical and empirical studies conducted in this paper illustrate the effectiveness of the proposed metrics.

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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