Topological mapping for visualisation of high-dimensional historical linguistic data
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Hermann Moisl
Abstract
This paper addresses an issue in visualization of high-dimensional data abstracted from historical corpora whose importance in quantitative and corpus linguistics has thus far not been sufficiently appreciated: the possibility that the data is nonlinear. Most applications of data visualization in these fields use linear proximity measures which ignore nonlinearity, and, if the data is significantly nonlinear, can give misleading results. Topological mapping is a nonlinear visualization method, and its application via a particular topological mapping method, the Self-Organizing Map, is here exemplified with reference to a small historical text corpus.
Abstract
This paper addresses an issue in visualization of high-dimensional data abstracted from historical corpora whose importance in quantitative and corpus linguistics has thus far not been sufficiently appreciated: the possibility that the data is nonlinear. Most applications of data visualization in these fields use linear proximity measures which ignore nonlinearity, and, if the data is significantly nonlinear, can give misleading results. Topological mapping is a nonlinear visualization method, and its application via a particular topological mapping method, the Self-Organizing Map, is here exemplified with reference to a small historical text corpus.
Chapters in this book
- Prelim pages i
- Table of contents v
- Introduction 1
- Part I. Theory and models 7
- On the impact of the initial phrase length on the position of enclitics in Old Czech 9
- Term distance, frequency and collocations 21
- A method for the comparison of general sequences via type-token ratio 37
- Quantitative analysis of syllable properties in Croatian, Serbian, Russian, and Ukrainian 55
- N -grams of grammatical functions and their significant order in the Japanese clause 69
- Linking the dependents 93
- Grammar efficiency and the One-Meaning–One-Form Principle 109
- Distribution and characteristics of commonly used words across different texts in Japanese 121
- Part II. Empirical studies 135
- The perils of big data 137
- From distinguishability to informativity 145
- A Modern Greek readability tool 163
- Phonological properties as predictors of text success 177
- Calculating the victory chances 195
- Topological mapping for visualisation of high-dimensional historical linguistic data 209
- Book genre and author’s gender recognition based on titles 225
- Quantitative analysis of bibliographic corpora 239
- Analysis of English text genre classification based on dependency types 257
- In memory of Gabriel Altmann 271
- Index 277
Chapters in this book
- Prelim pages i
- Table of contents v
- Introduction 1
- Part I. Theory and models 7
- On the impact of the initial phrase length on the position of enclitics in Old Czech 9
- Term distance, frequency and collocations 21
- A method for the comparison of general sequences via type-token ratio 37
- Quantitative analysis of syllable properties in Croatian, Serbian, Russian, and Ukrainian 55
- N -grams of grammatical functions and their significant order in the Japanese clause 69
- Linking the dependents 93
- Grammar efficiency and the One-Meaning–One-Form Principle 109
- Distribution and characteristics of commonly used words across different texts in Japanese 121
- Part II. Empirical studies 135
- The perils of big data 137
- From distinguishability to informativity 145
- A Modern Greek readability tool 163
- Phonological properties as predictors of text success 177
- Calculating the victory chances 195
- Topological mapping for visualisation of high-dimensional historical linguistic data 209
- Book genre and author’s gender recognition based on titles 225
- Quantitative analysis of bibliographic corpora 239
- Analysis of English text genre classification based on dependency types 257
- In memory of Gabriel Altmann 271
- Index 277
