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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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/76693 |
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| Summary: | 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. |
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