Comparison of the Spread of Novel Coronavirus: Topological Data Analysis of 13 Countries
Topological Data Analysis (TDA) is a recent rising method that provides new topological and geometric tools that can detect non-linear features, such as loops, in multidimensional data. As of now, most TDA studies are related to the biological structure of the SARS-COVID-2 virus and there is no l...
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ORDT: Organization for Research Development and Training
2022-11-01
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| Series: | Journal of Interdisciplinary Sciences |
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| Online Access: | https://journalofinterdisciplinarysciences.com/wp-content/uploads/2022/10/4-Comparison-of-the-Spread-of-Novel-Coronavirus-Topological-Data-Analysis-of-13-Countries.pdf |
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| author | Shaun V. Ault Jia Lu |
| author_facet | Shaun V. Ault Jia Lu |
| author_sort | Shaun V. Ault |
| collection | DOAJ |
| description | Topological Data Analysis (TDA) is a recent rising method that provides new topological
and geometric tools that can detect non-linear features, such as loops, in multidimensional data. As of
now, most TDA studies are related to the biological structure of the SARS-COVID-2 virus and there is
no literature on TDA application with country-level COVID-19 data. Thus, our study aims to fill the
gap by applying this novel method to find data patterns of COVID-19 spreads in selected thirteen
representative countries on six continents of the world and compare results among them. Briefly, TDA
methods are useful for determining “features” in point-clouds, including clusters and loops.
Furthermore, quantifiable differences in features of the data sets of different countries can suggest
differences in public health policy among those countries. Our results suggest TDA can be a useful
initial data tool to search for anomalies, which can then lead to a more comprehensive analysis
combined with other techniques. Using TDA, we were able to identify three major groups of countries
based on their virus data patterns. Australia, India, South Korea, and Taiwan are very similar, while
Great Britain, Peru, and France have very different patterns from those of other countries. Next, the
death-to-case ratio and death per million among countries were investigated. We also examined in
detail the public policy and other reasons behind the similarities and differences of the TDA results
and suggested possible successful public policies at national levels for a future pandemic. |
| format | Article |
| id | doaj-art-76c2a5bbbd2a4ee5a70a4c82b59c33d7 |
| institution | OA Journals |
| issn | 2594-3405 |
| language | English |
| publishDate | 2022-11-01 |
| publisher | ORDT: Organization for Research Development and Training |
| record_format | Article |
| series | Journal of Interdisciplinary Sciences |
| spelling | doaj-art-76c2a5bbbd2a4ee5a70a4c82b59c33d72025-08-20T01:57:19ZengORDT: Organization for Research Development and TrainingJournal of Interdisciplinary Sciences2594-34052022-11-01625376Comparison of the Spread of Novel Coronavirus: Topological Data Analysis of 13 CountriesShaun V. Ault0Jia Lu1Valdosta State University, USAValdosta State University, USATopological Data Analysis (TDA) is a recent rising method that provides new topological and geometric tools that can detect non-linear features, such as loops, in multidimensional data. As of now, most TDA studies are related to the biological structure of the SARS-COVID-2 virus and there is no literature on TDA application with country-level COVID-19 data. Thus, our study aims to fill the gap by applying this novel method to find data patterns of COVID-19 spreads in selected thirteen representative countries on six continents of the world and compare results among them. Briefly, TDA methods are useful for determining “features” in point-clouds, including clusters and loops. Furthermore, quantifiable differences in features of the data sets of different countries can suggest differences in public health policy among those countries. Our results suggest TDA can be a useful initial data tool to search for anomalies, which can then lead to a more comprehensive analysis combined with other techniques. Using TDA, we were able to identify three major groups of countries based on their virus data patterns. Australia, India, South Korea, and Taiwan are very similar, while Great Britain, Peru, and France have very different patterns from those of other countries. Next, the death-to-case ratio and death per million among countries were investigated. We also examined in detail the public policy and other reasons behind the similarities and differences of the TDA results and suggested possible successful public policies at national levels for a future pandemic. https://journalofinterdisciplinarysciences.com/wp-content/uploads/2022/10/4-Comparison-of-the-Spread-of-Novel-Coronavirus-Topological-Data-Analysis-of-13-Countries.pdf: covid-19topological data analysisbottleneck distancepublic health policy |
| spellingShingle | Shaun V. Ault Jia Lu Comparison of the Spread of Novel Coronavirus: Topological Data Analysis of 13 Countries Journal of Interdisciplinary Sciences : covid-19 topological data analysis bottleneck distance public health policy |
| title | Comparison of the Spread of Novel Coronavirus: Topological Data Analysis of 13 Countries |
| title_full | Comparison of the Spread of Novel Coronavirus: Topological Data Analysis of 13 Countries |
| title_fullStr | Comparison of the Spread of Novel Coronavirus: Topological Data Analysis of 13 Countries |
| title_full_unstemmed | Comparison of the Spread of Novel Coronavirus: Topological Data Analysis of 13 Countries |
| title_short | Comparison of the Spread of Novel Coronavirus: Topological Data Analysis of 13 Countries |
| title_sort | comparison of the spread of novel coronavirus topological data analysis of 13 countries |
| topic | : covid-19 topological data analysis bottleneck distance public health policy |
| url | https://journalofinterdisciplinarysciences.com/wp-content/uploads/2022/10/4-Comparison-of-the-Spread-of-Novel-Coronavirus-Topological-Data-Analysis-of-13-Countries.pdf |
| work_keys_str_mv | AT shaunvault comparisonofthespreadofnovelcoronavirustopologicaldataanalysisof13countries AT jialu comparisonofthespreadofnovelcoronavirustopologicaldataanalysisof13countries |