A Two-phase Type Identification and Subclass Classification Model for Glass Artifacts

Yutong Li, Zerui Xu, Mizi Sun, Tao Liu, Zheng Chen, R. Qiu
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Abstract

This paper focuses on the type identification and subclass classification of glass based on the chemical composition data of glass artifacts. While many papers have been conducted from the perspective of chemistry majors based on direct machine detection of chemical substances, this paper focuses on the analysis of data on the properties and chemical composition of glass artifacts based on mathematical modeling to develop a two-phase model for glass type identification and subclass classification. Since the application scenario of the model is archaeological species of ancient glass, the glass types considered in this paper are high potassium glass and lead-barium glass, which were widely circulated in ancient China and surrounding countries. Phase I was based on binary logistic regression to determine whether the type of glass artifacts belonged to high potassium glass or lead-barium glass. After testing the test set, the accuracy of type discrimination was 94%. The second phase utilizes SPSS based hierarchical clustering algorithm for subclassification. After that, the appropriate number of subclasses to be divided can be derived based on the folded graph of clustering coefficients derived from the elbow rule. Finally, this paper presents an accuracy test of the model through test subsets and suggests that the idea of using mathematical-statistical modeling methods to analyze the chemical composition of substances can be extended to the studies related to the chemical composition analysis of all artifacts.
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玻璃制品的两阶段类型识别与子类分类模型
基于玻璃制品的化学成分数据,对玻璃进行了类型识别和亚类分类。虽然已有很多论文是从化学专业的角度出发,基于化学物质的直接机器检测,但本文的重点是基于数学建模对玻璃制品的性质和化学成分数据进行分析,建立玻璃类型识别和亚类分类的两相模型。由于模型的应用场景是考古种类的古代玻璃,因此本文考虑的玻璃类型为高钾玻璃和铅钡玻璃,这两种玻璃在古代中国及周边国家广泛流传。第一阶段是基于二元逻辑回归来确定玻璃制品的类型是属于高钾玻璃还是铅钡玻璃。经过对测试集的测试,类型识别的准确率为94%。第二阶段利用基于SPSS的分层聚类算法进行子分类。然后,根据由肘部规则导出的聚类系数折叠图,可以得到适当数量的待划分子类。最后,本文通过测试子集对模型进行了精度检验,并提出利用数理统计建模方法分析物质化学成分的思想可以推广到所有人工制品化学成分分析的相关研究中。
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