Tunnel Clustering Method

IF 0.6 4区 数学 Q3 MATHEMATICS Doklady Mathematics Pub Date : 2025-02-27 DOI:10.1134/S1064562424702314
F. T. Aleskerov, A. L. Myachin, V. I. Yakuba
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Abstract

We propose a novel method for rapid pattern analysis of high-dimensional numerical data, termed tunnel clustering. The main advantages of the method are its relatively low computational complexity, endogenous determination of cluster composition and number, and a high degree of interpretability of final results. We present descriptions of three different variations: one with fixed hyperparameters, an adaptive version, and a combined approach. Three fundamental properties of tunnel clustering are examined. Practical applications are demonstrated on both synthetic datasets containing 100 000 objects and on classical benchmark datasets.

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隧道聚类方法
我们提出了一种新的高维数值数据快速模式分析方法,称为隧道聚类。该方法的主要优点是相对较低的计算复杂度、内生的聚类组成和数量的确定以及最终结果的高度可解释性。我们介绍了三种不同的变体:一种是固定超参数,一种是自适应版本,还有一种是组合方法。研究了隧道聚类的三个基本性质。在包含100,000个对象的合成数据集和经典基准数据集上演示了实际应用。
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来源期刊
Doklady Mathematics
Doklady Mathematics 数学-数学
CiteScore
1.00
自引率
16.70%
发文量
39
审稿时长
3-6 weeks
期刊介绍: Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.
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