CRITICAL RADIUS IN PERSISTENT HOMOLOGY
In this thesis, we will explain how to construct a simlpicial complex from a data by drawing closed ball centered at points from data with radius growing from zero to infinity. Based on this construction we will define a map from the radius of the balls to the rank of 0-th homology group of relat...
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| 格式: | Theses |
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| 機構: | Institut Teknologi Bandung |
| 語言: | Indonesia |
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id-itb.:766932023-08-18T08:30:40ZCRITICAL RADIUS IN PERSISTENT HOMOLOGY Novita Sari, Sri Indonesia Theses simplicial complex, homology group, critical radius. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/76693 In this thesis, we will explain how to construct a simlpicial complex from a data by drawing closed ball centered at points from data with radius growing from zero to infinity. Based on this construction we will define a map from the radius of the balls to the rank of 0-th homology group of related simplicial complex. Based on this mapping then we will define critical radius for H0, the smallest critical radius for H0, the biggest critical radius for H0, and the algorithm for finding all of the critical radius for H0. text |
| institution |
Institut Teknologi Bandung |
| building |
Institut Teknologi Bandung Library |
| continent |
Asia |
| country |
Indonesia Indonesia |
| content_provider |
Institut Teknologi Bandung |
| collection |
Digital ITB |
| language |
Indonesia |
| description |
In this thesis, we will explain how to construct a simlpicial complex from a data
by drawing closed ball centered at points from data with radius growing from zero
to infinity. Based on this construction we will define a map from the radius of the
balls to the rank of 0-th homology group of related simplicial complex. Based on
this mapping then we will define critical radius for H0, the smallest critical radius
for H0, the biggest critical radius for H0, and the algorithm for finding all of the
critical radius for H0. |
| format |
Theses |
| author |
Novita Sari, Sri |
| spellingShingle |
Novita Sari, Sri CRITICAL RADIUS IN PERSISTENT HOMOLOGY |
| author_facet |
Novita Sari, Sri |
| author_sort |
Novita Sari, Sri |
| title |
CRITICAL RADIUS IN PERSISTENT HOMOLOGY |
| title_short |
CRITICAL RADIUS IN PERSISTENT HOMOLOGY |
| title_full |
CRITICAL RADIUS IN PERSISTENT HOMOLOGY |
| title_fullStr |
CRITICAL RADIUS IN PERSISTENT HOMOLOGY |
| title_full_unstemmed |
CRITICAL RADIUS IN PERSISTENT HOMOLOGY |
| title_sort |
critical radius in persistent homology |
| url |
https://digilib.itb.ac.id/gdl/view/76693 |
| _version_ |
1823653205007925248 |