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中文题名:

 基于系统聚类模型的古代玻璃亚类划分    

姓名:

 徐力涵    

保密级别:

 公开    

论文语种:

 chi    

学科代码:

 071201    

学科专业:

 统计学    

学生类型:

 学士    

学位:

 理学学士    

学位年度:

 2024    

校区:

 北京校区培养    

学院:

 统计学院    

研究方向:

 聚类分析    

第一导师姓名:

 杜勇宏    

第一导师单位:

 统计学院    

提交日期:

 2024-05-16    

答辩日期:

 2024-05-09    

外文题名:

 Classification of ancient glass subclasses based on systematic clustering model    

中文关键词:

 古代玻璃 ; 系统聚类 ; Fisher 线性判别    

外文关键词:

 Ancient glass ; Systematic clustering ; Fisher linear discrimination    

中文摘要:

以文物分类为基础的文物保护一直是考古界一个重要话题,而有关古代玻璃制品的分类是其中的一个重要课题。本文根据已分类玻璃珍贵文物的相关信息以及化学成分占比,研究了古代玻璃制品的化学成分之间的异同,并在高钾、铅钡的分类前提下创建亚类划分方法来对未知类别的玻璃文物开展分类,且研究不一样类别化学成分之间的相关性。文中使用相关系数的统计方法剖析高钾玻璃、铅钡玻璃的分类规律性,针对每个类别选择合适的化学成分对它使用系统聚类进行亚类区划,并且对分类过程的科学性和敏感度展开了分析。之后使用Fisher 线性判别提供了亚类区划的具体方法来帮助更快地识别不同种类的古代玻璃制品。文中创造性地引进了各种各样统计和数据分析方法,详尽探讨了玻璃分类历史性难点,为下一步考古学工作提供了借鉴与参考。

外文摘要:

The conservation of cultural relics based on the classification of cultural relics has always been an important topic in archaeology, and the classification of ancient glass objects is one of the important topics. Based on the relevant information of classified precious glass relics and the proportion of chemical components, this paper studies the similarities and differences between the chemical components of ancient glass products, and establishes a subclass classification method to classify unknown categories of glass relics under the premise of classification of high potassium, lead and barium, and studies the correlation between chemical components of different categories. In this paper, the correlation coefficient and systematic clustering statistical method are used to analyze the classification regularity of high-potassium glass and lead-barium glass, and the appropriate chemical components are selected for each category to carry out subdivision, and the scientific and sensitivity of the classification process is analyzed. Fisher linear discrimination was then used to provide a specific method of subdivision to help identify different kinds of ancient glassware more quickly. This paper creatively introduces a variety of statistical and data analysis methods, discusses the historical difficulties of glass classification in detail, and provides a reference for the next archaeological work.

参考文献总数:

 22    

插图总数:

 10    

插表总数:

 12    

馆藏号:

 本071201/24036    

开放日期:

 2025-05-16    

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