Research on Gas User Clustering Algorithm: Based on PCA and Attribute Weighting

Xinbo Ai, Qinfang Ji
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Abstract

Gas user data has the characteristics of large amount of data and multiple attributes, while traditional user clustering algorithms usually use the distance between samples as the division standard of similarity. This distance calculation method ignores the influence of different data attributes on clustering. In order to solve this problem, this paper proposes a clustering algorithm based on PCA and attribute weighted distance (PAWDK). The method is divided into two stages: feature extraction and attribute weighted clustering. First, PCA is performed on the data to reduce redundant attributes; secondly, a method is defined. The dispersion function reflecting the difference of the attribute characteristics weights the attribute characteristics; then, the distance between the data attributes is calculated according to the weighted attribute characteristics, and the weighted attribute distance of all attributes is summed as the similarity distance between samples; finally, the weighted attribute distance is used as the division standard of kmeans clustering algorithm to cluster data. Experiments show that compared with other clustering methods, PAWDK can effectively reduce noise, achieve the goal of effectively clustering high-dimensional user data, and is closer to the characteristics of real user data set division.
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基于PCA和属性加权的燃气用户聚类算法研究
气体用户数据具有数据量大、属性多的特点,而传统的用户聚类算法通常以样本间的距离作为相似度的划分标准。这种距离计算方法忽略了不同数据属性对聚类的影响。为了解决这一问题,本文提出了一种基于PCA和属性加权距离(PAWDK)的聚类算法。该方法分为特征提取和属性加权聚类两个阶段。首先,对数据进行主成分分析,减少冗余属性;其次,定义方法。反映属性特征差异的弥散函数对属性特征进行加权;然后,根据加权属性特征计算数据属性之间的距离,并将所有属性的加权属性距离求和为样本间的相似距离;最后,利用加权属性距离作为kmeans聚类算法的划分标准对数据进行聚类。实验表明,与其他聚类方法相比,PAWDK可以有效地降低噪声,达到高维用户数据有效聚类的目的,更接近真实用户数据集划分的特点。
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