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Binary Trees and Taxicab Correspondence Analysis of Extremely Sparse Binary Textual Data: A Case Study

2024/04/09 by Vartan Choulakian, Choulakian, Vartan, Jacques Allard +3
Agricultural and Biological Sciences · Computer Science · #62H25 #62H30 #Applications (stat.AP) #FOS: Computer and information sciences #Graph Labeling and Dimension Problems #Sensory Analysis and Statistical Methods

paper · pdf · doi:10.48550/arxiv.2404.06616

openalex publication_date 2024/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a case study, where Taxicab Correspondence Analysis reveals that the underlying structure of an extremely sparse binary textual data set can be represented by a binary tree, where the nodes representing clusters of words can be interpreted as topics. The textual data set represents Israel's Declaration of Independence text and 40 diverse Israeli Interviewees. The analysis provides for a compare and contrast study of textual data coming from two different sources. Furthermore, we propose an adjusted sparsity index which takes into account the size of the data table.

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