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Topological Inference for Modern Data Analysis An Introduction to Persistent Homology
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sánchez, G. |
| Copyright Year | 2016 |
| Abstract | Persistent homology has become the main tool in topological data analysis because of it’s rich mathematical theory, ease of computation and the wealth of possible applications. This paper surveys the reasoning for considering the use of topology in the analysis of high dimensional data sets and lays out the mathematical theory needed to do so. The fundamental results that make persistent homology a valid and useful tool for studying data are discussed and finally we compute examples using the package TDA available in the CRAN library for the statistical programming language R. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://faculty.fiu.edu/~yotovm/GiancarloMasters-project.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |