Clustering functional data using forward search based on functional spatial ranks with medical applications.

Clustering functional data using forward search based on functional spatial ranks with medical applications.
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DOI:
10.1177/09622802211002865
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发表时间:
2022-01
影响因子:
2.3
通讯作者:
Willis BH
Willis BH
中科院分区:
医学3区
文献类型:
--
作者:
Baragilly M;Gabr H;Willis BH

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功能数据的聚类分析在医学研究和统计领域的应用越来越广泛。在这里,我们介绍了一种功能版本的前向搜索方法,用于功能数据聚类。提出的前向搜索算法基于功能空间秩,是一种数据驱动的非参数方法。它不需要任何预处理功能数据步骤,也不需要在聚类之前进行任何降维。基于功能空间秩的前向搜索(FSFSR)算法识别曲线中的聚类数量,并为每条曲线准确分配到其聚类提供依据。我们将其应用于三个模拟数据集和两个真实医疗数据集,并与其他六种标准方法进行了比较。基于仿真数据和实际数据,FSFSR算法识别出正确的簇数。此外,与六种用于聚类和分类的标准方法相比,该方法的误分类率最低。我们得出结论,FSFSR算法具有聚类和分类功能数据的潜力。
Cluster analysis of functional data is finding increasing application in the field of medical research and statistics. Here we introduce a functional version of the forward search methodology for the purpose of functional data clustering. The proposed forward search algorithm is based on the functional spatial ranks and is a data-driven non-parametric method. It does not require any preprocessing functional data steps, nor does it require any dimension reduction before clustering. The Forward Search Based on Functional Spatial Rank (FSFSR) algorithm identifies the number of clusters in the curves and provides the basis for the accurate assignment of each curve to its cluster. We apply it to three simulated datasets and two real medical datasets, and compare it with six other standard methods. Based on both simulated and real data, the FSFSR algorithm identifies the correct number of clusters. Furthermore, when compared with six standard methods used for clustering and classification, it records the lowest misclassification rate. We conclude that the FSFSR algorithm has the potential to cluster and classify functional data.
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